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Saxon Math Manipulatives In Motion Intermediate Correlations

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<strong>Saxon</strong> <strong>Math</strong><strong>Manipulatives</strong> in <strong>Motion</strong><strong>In</strong>termediate<strong>Correlations</strong><strong>Saxon</strong> <strong>Math</strong> ProgramPage<strong>Math</strong> 3 (kit version) 2<strong>Math</strong> 4 (kit version) 10<strong>In</strong>termediate 3 17<strong>In</strong>termediate 4 21<strong>In</strong>termediate 5 26California <strong>Math</strong> 3 31California <strong>In</strong>termediate 4 39California <strong>In</strong>termediate 5 44California <strong>In</strong>termediate 6 48– 1 –


<strong>Saxon</strong> <strong>Math</strong> – <strong>Manipulatives</strong> in <strong>Motion</strong>Correlation of Activities by Lesson<strong>Math</strong> 3 (kit version)Section 1: Lessons 1–101 • Telling and Showing Time to the Hour• Measurement • Clocks • Tell Time on a Clock• Solving Elapsed-Time Problems2 • Graphing Data on a Bar Graph• Graphs • Bar Graphs • Simple• Reading a Graph3 • Identifying Digits and Writing Two-Digit Numbers • Base Ten Blocks • Show • Ones and Tens4 • Telling and Showing Time to the Half Hour• Measurement • Clocks • Time on Clocks• Estimating Time to the Nearest Half Hour5 • Identifying Addends, Sums, and the Commutative • Counters • Add • Two AddendsProperty of Addition• Addition Facts: Adding 0, Adding 1, and Doubles• Identifying a Missing Addend6 • Estimating Length to the Nearest <strong>In</strong>ch• Geometry • Draw • Line Segments• Measuring and Drawing Line Segments to theNearest <strong>In</strong>ch• Drawing Congruent Line Segments7 • Identifying the Properties of a Rectangle• Geometry • Area and Perimeter • Rectangle• Identifying and Measuring the Length and Width ofa Rectangle8 • Ordering Two-Digit Numbers • Base Ten Blocks • Compare • Ones and Tens9 • Identifying Even and Odd Numbers • Counters • Compare • Counters10-1 • Subtraction Facts: Subtracting 0 and 1; Differencesof 0 and 1• Using Logical Reasoning to Solve a Problem• Making an Organized List to Solve a Problem10-2 • Identifying the Relative Value of Pattern Blocks• Covering Designs with Pattern Blocks• Probability • Arrangements and Combinations• Combinations• Geometry • Plane • Sides and CornersSection 2: Lessons 11–2011 • Identifying, Acting Out, Drawing Pictures, and • Counters • Add • Two AddendsWriting Number Sentences for “Some, SomeMore” and “Some, Some Went Away” StoryProblems12 • Dividing Squares into Two and Four Equal Parts • Geometry • Plane • Congruent• Identifying Congruent Shapes13 • Counting Dimes and Nickels• Measurement • Money • Compare• Comparing the Values of Sets of Coins14 • Adding 10 to a Two-Digit Number and Subtracting • Number Charts • Hundred Chart • Add10 from a Two-Digit Number Using MentalComputation15-1 • Addition Facts: Sums of 10 • Counters • Add • Two Addends15-2 • Identifying the Relative Value of Pattern Blocks • Geometry • Plane • Sides and Corners• Making a Design with a Given Value Using PatternBlocks16 • Writing the Date Using Digits • Measurement • Calendar • Days and Months<strong>Saxon</strong> <strong>Math</strong> 3 (kit version) – 2 –


17 • Dividing Squares into Two, Four, and Eight EqualParts• Identifying and Shading Halves, Fourths, andEighths18 • Reading a Thermometer to the Nearest 10Degrees Fahrenheit• Rounding Numbers to the Nearest Ten19 • Rounding Numbers to the Nearest Ten• Fractions • Show • Fraction Bars20-1 • Addition Facts: Adding 2• Number Charts • Addition Chart • Fact Families• Writing Addition and Subtraction Fact Families• Using Logical Reasoning to Solve a Problem• Working Backward to Solve a Problem20-2 • Naming and Drawing Polygons • Geometry • Draw • PolygonsSection 3: Lessons 21–3021 • Dividing a Square into Three Equal Parts• Fractions • Show • Fraction Bars• Identifying and Shading Thirds22 • Rewriting Numbers by Regrouping Tens and Ones • Probability • Arrangements • Combinations• Trading Dimes and Pennies• Making an Organized List23 • Counting Dimes, Nickels, and Pennies • Measurement • Money • Show Amount24 • Writing Fractions Using the Fraction Bar • Fractions • Show • Fraction Bars25-1 • Addition Facts: Adding 9 • Counters • Add • Two Addends25-2 • Writing Fraction Number Sentences That Equal 1 • Fractions • Add • Fraction Bars26 • Identifying Dozen and Half Dozen• Writing a Fraction to Show a Part of a Set27 • Reading and Writing Numbers to 1,000 UsingDigits28 • Writing Money Amounts Using Dollar Signs andCent Symbols29 • Reading and Shading a Thermometer to theNearest 2 Degrees Fahrenheit30-1 • Addition Facts: Adding 3 and 4• Using Guess and Check to Solve a Problem• Solving a Problem by Acting It Out30-2 • Collecting Data• TallyingSection 4: Lessons 31–4031 • Adding Multiples of 10 Using Mental Computation• Estimating the Sum of Two Two-Digit Numbers32 • Estimating, Measuring, and Drawing LineSegments Using Centimeters33 • Adding a Multiple of 10 to a Number Using MentalComputation34 • Ordering Three-Digit Numbers• Listing Combinations• Fractions • Add • Fraction Bars• Measurement • Money • Show Amount• Number Lines • Add• Graphs • Bar Graphs • Simple• Base Ten Blocks • Add • Tens• Base Ten Blocks • Add • Ones and Tens35-1 • Addition Facts: Adding 5 and 6 • Number Lines • Add• Base Ten Blocks • Compare • Ones, Tens, andHundreds35-2 • Writing Number Sentences for “Some, Some More”and “Some, Some Went Away” Stories• Writing Story Problems for Addition andSubtraction Number Sentences36 • Counting Quarters • Measurement • Money • Show Amount37 • Finding Half of a Set of Objects • Counters • Divide<strong>Saxon</strong> <strong>Math</strong> 3 (kit version) – 3 –


38 • Adding Three or More Single-Digit Numbers • Counters • Add • Three Addends39 • Telling and Showing Time to Five-Minute <strong>In</strong>tervals• Identifying a.m. and p.m.• Identifying the Number of Minutes in an Hour andthe Number of Hours in a Day40-1 • Addition Facts: Adding 7 and 8• Drawing a Picture to Solve a Problem• Making a Table to Solve a Problem40-2 • Conducting a Survey• Drawing and Reading a PictographSection 5: Lessons 41–5041 • Identifying Place Value to Hundreds• Writing Three-Digit Numbers in Expanded Form42 • Adding Two-Digit Numbers Using MentalComputation43 • Naming Line Segments• Identifying and Making Scalene, Isosceles, andEquilateral Triangles44 • Identifying a Missing Digit in an Addition Problem• Measurement • Clocks • Tell Time on a Clock• Algebra • <strong>In</strong>put Output Table• Graphs • Pictograph• Base Ten Blocks • Show • Ones, Tens, andHundreds• Base Ten Blocks • Add • Ones and Tens• Geometry • Draw • Polygons45-1 • Multiplying by 1 and by 10• Number Charts • Multiplication Chart• Identifying Factors and Products45-2 • Estimating and Finding the Capacity of Containers • Measurement • Equivalent Measures • Capacity• Ordering Containers by Capacity• Identifying 1-Cup Liquid Measure• Identifying Pint, Quart, Half-Gallon, Gallon, andLiter Containers46 • Reading a Thermometer to the Nearest DegreeFahrenheit• Identifying the Freezing and Boiling Points ofWater and Normal Body Temperature on theFahrenheit Scale• Estimating a Reasonable Temperature47 • Using Comparison Symbols (>,


55-2 • Locating and Naming Points on a Number Line with • Graphs • Bar Graphs • Advanceda Scale of 10• Estimating Capacity• Drawing a Bar Graph Using a Scale of 1056 • Acting Out, Drawing Pictures, and Writing NumberSentences for “Equal-Groups” Stories57 • Drawing Pictures and Writing Number Sentencesfor “Equal-Groups” Stories58 • Identifying and Drawing Lines of Symmetry • Geometry • Plane • Symmetry59 • Writing Division Problems in Three Ways• Dividing by 10, by 7, and by 1• Identifying Quotients60-1 • Subtraction Facts: Subtracting 2; Differences of 2• Using Guess and Check to Solve a Problem• Solving a Problem by Making It Simpler60-2 • Measuring with Cups, Tablespoons, andTeaspoons• Reading a RecipeSection 7: Lessons 61–70• Counters • Divide• Number Lines • Subtract• Measurement • Equivalent Measures • Capacity61 • Writing a Part of a Set as a Fraction • Fractions • Show • Two-Color Counters62 • Subtracting a Multiple of 10 from a Number UsingMental Computation• Estimating Differences of Two Two-Digit Numbers63 • Squaring Numbers• Identifying Perfect Squares• Finding the Area of a Square• Simplifying Expressions with Exponents of 264 • Showing Three- and Four-Digit Numbers UsingBase Ten Blocks• Writing Three- and Four-Digit Numbers for a Modelor a Picture65-1 • Subtraction Facts: Subtracting 3 and 4; Differencesof 3 and 465-2 • Following a Recipe• Setting a Dial and Determining Elapsed Time66 • Identifying the Missing Addend in a “Some, SomeMore” Story• Number Charts • Hundred Chart • Subtract• Geometry • Area and Perimeter • Rectangles• Base Ten Blocks • Show • Ones, Tens, Hundreds,and Thousands• Number Lines • Subtract• Measurement • Clocks • Elapsed Time• Number Lines • Add67 • Subtracting Two-Digit Numbers • Base Ten Blocks • Subtract • Ones and Tens68 • Writing Numbers to 1,000 Using Words •69 • Adding and Subtracting Multiples of 100 • Number Lines • Add70-1 • Multiplication Facts: Multiplying by 2• Algebra • <strong>In</strong>put Output Table• Looking for a Pattern to Solve a Problem• Drawing a Picture to Solve a Problem• Making a Table to Solve a Problem70-2 • Drawing and Reading a Line Graph • Graphs • Line Graph • SimpleSection 8: Lessons 71–8071 • Telling and Showing Time to the Minute • Measurement • Clocks • Tell Time on a Clock72 • Rounding a Number to the Nearest Hundred• Estimating Sums and Differences of Three-DigitNumbers• Base Ten Blocks • Add • Ones, Tens, and Hundreds<strong>Saxon</strong> <strong>Math</strong> 3 (kit version) – 5 –


73 • Comparing Fractions with Denominators of 2, 3, • Fractions • Add • Fraction Barsand 6 Using Pattern Blocks (Part 1)• Adding and Subtracting Fractions withDenominators of 2, 3, and 6 Using Pattern Blocks(Part 1)74 • Writing a Fraction to Show a Part of a Whole • Fractions • Add • Fraction Bars• Comparing Fractions with Denominators of 2, 3,and 6 Using Pattern Blocks (Part 2)• Adding and Subtracting Fractions withDenominators of 2, 3, and 6 Using Pattern Blocks(Part 2)75-1 • Subtraction Facts: Subtracting 5 and 6; Differences • Number Lines • Subtractof 5 and 675-2 • Reading and Writing Roman Numerals to 3176 • Adding Three-Digit Numbers • Base Ten Blocks • Add • Ones, Tens, and Hundreds77 • Identifying Ordinal Position78 • Reading and Writing Money Amounts to $1,000 • Measurement • Money • Show Amount• Writing Money Amounts Using Fractions andDecimals• Writing Checks79 • Selecting Coins for a Given Amount • Measurement • Money • Show Amount80-1 • Subtraction Facts: Subtracting 7, 8, and 9• Counters • Explore • Make Patterns• Solving a Problem by Making It Simpler• Drawing a Picture to Solve a Problem• Making a Table to Solve a Problem• Looking for a Pattern to Solve a Problem80-2 • Making Reasonable Predictions by Collecting and • Probability • Certain, Likely, Impossible • From a BagAnalyzing DataSection 9: Lessons 81–9081 • Finding Square Roots of Perfect Squares• Finding the Length of the Side of a Square Giventhe Area82 • Adding Money Amounts (Decimals) • Measurement • Money • Explore83 • Reading and Showing the Temperature on theCelsius Scale84 • Identifying the Number of Days in Each Month • Measurement • Calendar • Days and Months• Identifying the Number of Days in a Year85-1 • Multiplication Facts: Multiplying by 0; Multiplying • Number Charts • Multiplication Chartby 5• Identifying the Commutative Property ofMultiplication85-2 • Estimating and Measuring Distance Using Feet, • Measurement • Equivalent Measures • LengthYards, and Meters• Identifying the Number of <strong>In</strong>ches in a Foot and in aYard, Feet in a Yard, and Centimeters in a Meter86 • Identifying and Solving “Larger-Smaller-Difference”Problems87 • Making and Drawing Arrays• Counters • Multiply• Writing Number Sentences for Arrays88 • Estimating and Finding the Area of a Rectangle • Geometry • Area and Perimeter • Rectangles89 • Finding the Sum of Three Addends • Counters • Add • Three Addends90-1 • Division Facts: Dividing by 2 and by 5• Working Backward to Solve a Problem• Counters • Divide<strong>Saxon</strong> <strong>Math</strong> 3 (kit version) – 6 –


90-2 • Determining the Likelihood of an Event• Determining the Fairness of a GameSection 10: Lessons 91–100• Probability • Spinner91 • Subtracting Two- and Three-Digit Numbers (Part 1) • Base Ten Blocks • Subtract • Ones, Tens, andHundreds92 • Subtracting Two- and Three-Digit Numbers (Part 2) • Base Ten Blocks • Subtract • Ones, Tens, andHundreds93 • Comparing and Ordering Unit Fractions with • Fractions • Add • Fraction BarsDenominators of 2, 3, 4, and 8 Using FractionStrips• Adding and Subtracting Fractions with LikeDenominators of 2, 3, 4, and 8 Using FractionStrips94 • Comparing and Ordering Fractions with• Fractions • Add • Fraction BarsDenominators of 2, 3, 4, 5, 6, 8, and 10 UsingPictures• Identifying Fractions That Equal 1/2 Using Pictures• Adding and Subtracting Fractions with LikeDenominators of 2, 3, 4, 5, 6, 8, and 1095-1 • Multiplication Facts: Multiplying by 3 • Number Charts • Multiplication Chart95-2 • Identifying Units of Weight and Mass: Ounces, • Measurement • Equivalent Measures • WeightPounds, Tons, Grams, and Kilograms• Estimating the Mass of an Object96 • Subtracting Money Amounts (Decimals)• Measurement • Money • Explore• Subtracting Across Zeros97 • Telling and Showing Time to the Quarter Hour • Measurement • Clocks • Tell Time on a Clock98 • Showing Fractional Amounts Greater Than 1 • Fractions • Show • Fraction Circles• Writing Mixed Numbers99 • Measuring and Drawing Line Segments to theNearest Quarter <strong>In</strong>ch100-1 • Multiplication Facts: Multiplying by 4• Number Charts • Multiplication Chart• Making an Organized List to Solve a Problem100-2 • Identifying Parallel Lines and Line Segments • Geometry • Plane • Sides and Corners• Identifying the Properties of QuadrilateralsSection 11: Lessons 101–110101 • Finding the Missing Addend for a Sum of 100 • Base Ten Blocks • Subtract • Ones and Tens102 • Making Change from $1.00 • Measurement • Money • Make Change103 • Reading and Writing Six-Digit Numbers• Multiplying by 100 and by 1,000• Base Ten Blocks • Show • Ones, Tens, Hundreds,and Thousands104 • Writing a Four-Digit Number in Expanded Form • Base Ten Blocks • Show • Ones, Tens, Hundreds,and Thousands105-1 • Division Facts: Dividing by 3 and by 4• Number Charts • Multiplication Chart • Fact Families• Writing Multiplication and Division Fact Families105-2 • Identifying Perpendicular Lines and Line Segments106 • Adding Money Amounts to $99,999.99• Measurement • Money • Explore• Writing Checks for Money Amounts to $99,999.99107 • Acting Out, Drawing Pictures, and Writing NumberSentences for Division Story Problems108 • Writing Number Sentences for Division StoryProblems109 • Multiplying a Multiple of 10, 100, or 1,000 by aSingle-Digit Number<strong>Saxon</strong> <strong>Math</strong> 3 (kit version) – 7 –


110-1 • Multiplication Facts: Multiplying by 9• Solving a Problem by Making It Simpler• Making a Table to Solve a Problem110-2 • Identifying Transformations: Translations,Rotations, and Reflections111 • Identifying a Fractional Part of a Set• Determining Age112 • Multiplying a One-Digit Number and a Two-DigitNumber Using Mental Computation113 • Identifying Right, Obtuse, and Acute Angles• Naming Triangles by Angle SizeSection 12: Lessons 111–120• Number Charts • Multiplication Chart• Geometry • Plane • Translations• Fractions • Show • Two-Color Counters• Base Ten Blocks • Multiply • Ones, Tens, andHundreds• Geometry • Draw • Angles114 • Measuring Line Segments Using Millimeters115-1 • Multiplication Facts: Multiplying by 6 • Number Charts • Multiplication Chart115-2 • Identifying Geometric Solids• Geometry • Solid • Vertices, Faces, Edges• Identifying Faces, Vertices, and Edges of aGeometric Solid• Constructing a Cube116 • Multiplying a Single-Digit Number and a Multi-DigitNumber Using the Multiplication Algorithm117 • Identifying a Function Rule • Algebra • <strong>In</strong>put Output Table118 • Simplifying Expressions Containing Parentheses• Multiplying Three or More Factors• Using the Associative Property of Multiplication119 • Writing Tenths Using Common and DecimalFractions• Measuring to the Nearest Tenth of a Centimeter120-1 • Making and Using a Multiplication Table• Multiplication Facts: Multiplying by 8• Working Backward to Solve a Problem• Using Guess and Check to Solve a Problem120-2 • Identifying the Factors of a Number• Identifying Prime Numbers Less Than 20121 • Finding the Volume of a Rectangular Prism• Measurement • Equivalent Measures • Length• Number Charts • Multiplication Chart• Counters • MultiplySection 13: Lessons 121–130122 • Dividing Two- and Three-Digit Multiples of 10 by aOne-Digit Number Using Mental Computation123 • Locating Negative Numbers on a Number Line • Number Lines • Explore124 • Dividing a Two-Digit Number by a One-Digit • Base Ten Blocks • Divide • Ones and TensNumber125-1 • Determining Unit Cost• Counters • Divide• Division Facts: Dividing by 6, by 8, and by 9125-2 • Locating <strong>In</strong>formation on a Map126 • Showing Addition, Subtraction, and Multiplication • Number Lines • Addon a Number Line127 • Identifying Units of Measure for Long Distances • Measurement • Equivalent Measures • Length• Using a Scale to Find Distance on a Map128 • Adding Positive and Negative Numbers • Number Lines • Add129 • Creating a Coordinate Plane• Identifying the Location of a Point on a CoordinatePlane• Algebra • Coordinate Grids and Coordinate Planes• Points on a Plane<strong>Saxon</strong> <strong>Math</strong> 3 (kit version) – 8 –


130-1 • Graphing Points on a Coordinate Plane• Solving a Problem by Making It Simpler130-2 • Showing Large Numbers Using Objects• Rounding Numbers to the Nearest Thousand• Comparing and Ordering Six-Digit NumbersSection 14: Lessons 131–E131 • Writing Hundredths Using Common and DecimalFractions132 • Dividing a Two-Digit Number by a One-DigitNumber with a Remainder133 • Simplifying Expressions with Addition, Subtraction,Multiplication, and Division134 • Identifying Place Value to Millions• Algebra • Coordinate Grids and Coordinate Planes• Points on a Plane• Base Ten Blocks • Compare • Ones, Tens,Hundreds, and Thousands135 • Estimating a Large Collection by SamplingA • Making a Line Plot• Graphs • Line Plot• Identifying the Mode, Range, and Median of a Setof DataB • Finding the Mean of a Set of DataC • Calculating the Probability of an Event • Probability • Coin TossDE• Using a Calculator to Add, Subtract, Multiply,Divide, and Find Square Roots• Predicting the Relative Size of Solutions• Choosing an Appropriate Method for Finding theAnswer to a Problem• Using a Calculator to Compare Data• Using a Calculator to Find the Range and Mean ofa Set of Data<strong>Saxon</strong> <strong>Math</strong> 3 (kit version) – 9 –


<strong>Saxon</strong> <strong>Math</strong> – <strong>Manipulatives</strong> in <strong>Motion</strong>Correlation of Activities by Lesson<strong>Math</strong> 4 (kit version)Section 1: Lessons 1–101 • Writing the Date in Three Ways• Writing a Part of a Set as a Fraction2 • Identifying the Dates for the Seasons of the Year• Making a Pictograph3 • Collecting <strong>In</strong>formation from a Survey• Making a Frequency Table and a Bar Graph toShow Data4 • Making an Organized List to Solve a Problem• Identifying Digits5 • Identifying Addends and Sums• Identifying the Commutative Property of Addition• Writing Addition Facts for Sums to 186 • Writing Multiples of 10, 100, 1,000, and 10,000Using Mental Computation• Adding Multiples of 10 to a Two-Digit NumberUsing Mental Computation7 • Reading, Writing, and Estimating Time to theNearest Minute and Second• Identifying the Relationship Between Seconds,Minutes, and Hours• Identifying a.m. and p.m.• Measurement • Calendar • Days and Months• Graphs • Pictograph• Graphs • Bar Graphs • Simple• Probability • Arrangements and Combinations• Combinations• Number Lines • Add• Number Charts • Addition Chart• Measurement • Clocks • Tell Time on a Clock8 • Adding Three or More Single-Digit Numbers • Counters • Add • Three Addends9 • Identifying a Missing Addend • Number Lines • Subtract10-1* • Representing Data on a Graph • Graphs • Bar Graphs • SimpleSection 2: Lessons 11–2011 • Adding Two-Digit Numbers Using MentalComputation12 • Reading a Chart• Reading and Representing an Amount Using Coins• Finding the Value of a Set of Coins13 • Writing Money Amounts Using $ and ¢• Estimating the Sum of Two Two-Digit NumbersUsing Mental Computation14 • Naming Line Segments• Measuring Line Segments Using <strong>In</strong>ches, Half<strong>In</strong>ches, Centimeters, and Centimeters with ExtraMillimeters15-1 • Drawing Line Segments Using <strong>In</strong>ches, Half <strong>In</strong>ches,Centimeters, and Centimeters with ExtraMillimeters• Identifying Horizontal, Vertical, and Oblique LineSegments16 • Adding Three Two-Digit Numbers and Two Three-Digit Numbers Using Mental Computation• Base Ten Blocks • Add • Ones and Tens• Measurement • Money • Show Amount• Base Ten Blocks • Add • Ones and Tens• Geometry • Draw • Segments• Base Ten Blocks • Add • Ones, Tens, and Hundreds*Part 2s (-2) in <strong>Math</strong> 4 are Assessment Lessons.<strong>Saxon</strong> <strong>Math</strong> 4 (kit version) – 10 –


17 • Dividing a Circle into 2, 3, 4, 6, 8, and 12 EqualParts• Identifying Fractional Parts of One Whole toTwelfths• Identifying the Numerator and Denominator of aFraction18 • Estimating and Measuring Length Using Feet• Making a Circle19 • Drawing Circles• Identifying and Measuring the Radius and theDiameter of a Circle20-1 • Creating and Reading a Line Plot• Identifying the Range and the Mode of a Set ofData21 • Using Comparison SymbolsSection 3: Lessons 21–3022 • Representing Repeated Addition as Multiplication• Changing Weeks to Days and Years to Months• Changing Feet to <strong>In</strong>ches and Centimeters toMillimeters• Multiplying by 1, 5, 7, 10, and 1223 • Drawing Pictures and Writing Number Sentencesfor Equal Groups Stories24 • Identifying the Number of Days in Each Month andin Each Year• Finding the Date on a Perpetual Calendar25-1 • Reading and Writing Numbers to 999• Identifying the Place Value and the Value of a Digitin a Three-Digit Number26 • Identifying Even and Odd Numbers• Multiplying by 0, 2, 4, 6, and 8• Identifying Factors and Products• Identifying the Commutative Property ofMultiplication27 • Labeling a Number Line Using Whole Numbers,Fractions, and Mixed Numbers28 • Measuring and Drawing Line Segments UsingSixteenths of an <strong>In</strong>ch29 • Identifying and Writing Multiples• Fractions • Show • Fraction Circles• Geometry • Tessellations• Geometry • Tessellations• Graphs • Line Plot• Number Charts • Multiplication Chart• Measurement • Calendar • Days and Months• Base Ten Blocks • Show • Ones, Tens, andHundreds• Number Charts • Multiplication Chart• Number Lines • Skip Count • Fractions30-1 • Multiplying by 3, 9, and 11 • Number Charts • Multiplication Chart31 • Writing Equal Groups Story ProblemsSection 4: Lessons 31–4032 • Writing Three-Digit Numbers Using Words• Writing Checks33 • Graphing Two- and Three-Digit Numbers on aNumber Line• Rounding Two- Digit Numbers to the Nearest Ten• Rounding Three-Digit Numbers to the NearestHundred• Estimating Sums of Two-and Three-Digit Numbers34 • Telling Time to the Quarter Hour• Reading the Time as Minutes Before the Next Hour35-1 • Designing and Conducting a Survey• Base Ten Blocks • Add • Ones, Tens, and Hundreds• Measurement • Clocks • Tell Time on a Clock<strong>Saxon</strong> <strong>Math</strong> 4 (kit version) – 11 –


36 • Identifying the Number of Years in a Decade,a Century, and a Millennium• Multiplying by 10, 100, 1,000 and 10,000 UsingMental Computation37 • Identifying United States Time Zones• Identifying the Time in Different Parts of the UnitedStates38 • Multiplying a Two-Digit Number by a One-Digit • Counters • Add • Three AddendsNumber Using Mental Computation• Estimating a Product• Multiplying Three Single-Digit Numbers39 • Identifying Equivalent Customary and Metric Linear • Measurement • Equivalent Measures • LengthUnits of Measure• Estimating and Measuring Distance40-1 • Drawing and Reading a Circle (Pie) Graph • Graphs • Circle GraphsSection 5: Lessons 41–5041 • Adding Whole Numbers and Money Amounts • Measurement • Money • ExploreUsing the Addition Algorithm42 • Filling Out a Catalog Order Form • Measurement • Money • Explore43 • Estimating and Measuring Distance on a Map • Algebra • <strong>In</strong>put Output TableUsing a Scale• Making a Table to Solve a Problem44 • Finding Elapsed Time • Measurement • Clocks • Elapsed Time45-1 • Identifying and Writing Number Sentences for“Some, Some More” and “Some, Some WentAway” Stories46 • Identifying Lines of Symmetry • Geometry • Plane • Symmetry47 • Reflection Across a Line of Symmetry • Geometry • Plane • Translations48 • Making and Reading a Venn Diagram • Counters • Explore • Make Sets49 • Multiplying a Two-Digit Number by a One-DigitNumber Using the Multiplication Algorithm50-1 • Using Coordinates to Find a Location on a Map• Reading and Drawing a Pictograph51 • Reading Large Numbers• Writing Large Numbers Using DigitsSection 6: Lessons 51–6052 • Writing Large Numbers Using Words •53 • Identifying the Place Value and the Value of a Digitin a Large Number• Writing Numbers in Expanded Form54 • Multiplying Three- and Four-Digit Numbers by aOne-Digit Number Using the MultiplicationAlgorithm55-1 • Identifying Missing Addends for a Sum of 100• Making Change from $1.0056 • Identifying One Square Foot and One Square <strong>In</strong>ch• Identifying the Number of Square <strong>In</strong>ches in OneSquare Foot• Finding the Number of Square Feet in a Shape• Dividing a Rectangle into Square <strong>In</strong>ches• Identifying the Number of Square <strong>In</strong>ches in aRectangle• Base Ten Blocks • Multiply • Ones, Tens, andHundreds• Graphs • Pictograph• Base Ten Blocks • Show • Ones, Tens, Hundreds,and Thousands• Base Ten Blocks • Show • Ones, Tens, Hundreds,and Thousands• Measurement • Money • Make Change• Geometry • Area and Perimeter • Rectangle<strong>Saxon</strong> <strong>Math</strong> 4 (kit version) – 12 –


57 • Finding the Area of an Irregular Shape Using aGrid• Drawing a Shape with a Given Area• Finding the Area of a Rectangle58 • Subtracting Two-Digit Numbers Using MentalComputation59 • Identifying and Solving Larger, Smaller, DifferenceProblems60-1 • Making, Drawing, Labeling, and Writing NumberSentences for ArraysSection 7: Lessons 61–70• Geometry • Area and Perimeter • Rectangle• Base Ten Blocks • Subtract • Ones and Tens• Counters • Multiply61 • Making an Array for a Number Sentence• Counters • Multiply• Finding the Missing Dimension of an Array62 • Writing Division Problems• Number Charts • Multiplication Chart• Dividing by 2 and by 563 • Identifying Missing Addends for a Sum of 1,000 • Measurement • Money • Make Change• Making Change from $10.0064 • Naming Shapes, Angles, and Diagonals • Geometry • Plane • Sides and Corners65-1 • Identifying Parallel and Perpendicular Lines andLine Segments66 • Subtracting Whole Numbers and Money AmountsUsing the Subtraction Algorithm• Base Ten Blocks • Subtract • Ones, Tens, Hundreds,and Thousands67 • Recording Transactions in a Checkbook Register • Measurement • Money • Show Amount68 • Ordering Unit Fractions• Fractions • Compare • Fraction Bars• Writing Equivalent Fractions Using Halves,Fourths, Eighths, and Sixteenths69 • Measuring and Drawing Line Segments UsingFourths of an <strong>In</strong>ch70-1 • Acting Out, Drawing Pictures, and Writing NumberSentences to Solve Equal Groups Story Problems<strong>In</strong>volving DivisionSection 8: Lessons 71–8071 • Identifying Triangles, Squares, and Parallelograms • Measurement • Balance and Scales • Balance• Identifying Congruent and Similar Shapes• Identifying Units of Mass72 • Ordering Objects by Mass• Estimating and Finding the Mass of an Object• Measurement • Equivalent Measures • Weight73 • Multiplying a Two-Digit Number by a Two-DigitNumber74 • Reading a Thermometer Using the Fahrenheit andCelsius Scales• Estimating Temperature75-1 • Reading Temperatures Below Zero on aThermometer• Locating Negative Numbers on a Thermometer76 • Identifying the Divisor, Dividend, and Quotient in aDivision Problem• Writing Remainders for Division Problems77 • Dividing a Two-Digit Number by a One-DigitNumber78 • Identifying Mixed Numbers and Improper Fractions• Writing Mixed Numbers as Improper Fractions• Base Ten Blocks • Multiply • Ones, Tens, Hundreds,and Thousands• Base Ten Blocks • Divide • Ones and Tens• Fractions • Show • Fraction Circles<strong>Saxon</strong> <strong>Math</strong> 4 (kit version) – 13 –


79 • Writing Mixed Numbers and Improper Fractions toRepresent Pictures• Showing Mixed Numbers and Improper FractionsUsing Pictures80-1 • Multiplying a Three-Digit Number by a Two-DigitNumberSection 9: Lessons 81–90• Fractions • Show • Fraction Circles• Base Ten Blocks • Multiply • Ones, Tens, Hundreds,and Thousands81 • Identifying, Naming, and Drawing Polygons • Geometry • Draw • Polygons82 • Finding the Area of Polygons Using TangramPieces83 • Writing Remainders for Division Problems asFractions• Writing Remainders for Division Problems84 • Changing Improper Fractions to Mixed Numbers• Geometry • Explore • Tangrams• Counters • Divide • Remainders85-1 • Identifying, Naming, and Drawing Quadrilaterals • Geometry • Draw • Polygons86 • Naming and Drawing Quadrilaterals• Solving Two-Dimensional Spatial Problems87 • Dividing a Three-Digit Number by a One-DigitNumber88 • Writing Common and Decimal Fractions for Tenths• Measuring to a Tenth of a Centimeter89 • Identifying and Drawing Transformations:Translations, Rotations, and Reflections90-1 • Averaging: Finding the Mean of a Set of DataSection 10: Lessons 91–100• Geometry • Draw • Polygons• Base Ten Blocks • Divide • Ones, Tens, andHundreds• Geometry • Plane • Translations91 • Adding and Subtracting Decimal Fractions: Tenths • Base Ten Blocks • Show • Ones and Tens• Picturing Decimal Fractions: Tenths92 • Identifying the Liquid Capacity of Common• Measurement • Equivalent Measures • CapacityContainers93 • Locating Positive and Negative Numbers on a • Number Lines • Add • <strong>In</strong>tegersNumber Line• Adding Positive and Negative Numbers Using aNumber Line94 • Identifying Prime Numbers to 100 • Number Charts • Multiplication Chart95-1 • Picturing Decimal Fractions: Hundredths• Adding and Subtracting Decimal Fractions:Hundredths96 • Simplifying Fractions97 • Multiplying a Number by a Multiple of 10, 100,or 1,00098 • Writing Numbers Using Roman Numerals• Base Ten Blocks • Show • Ones, Tens, andHundreds99 • Adding Positive and Negative Numbers • Number Lines • Add • <strong>In</strong>tegers100-1 • Identifying the Probability of an Event• Conducting an Experiment with a Spinner101 • Dividing a Four-Digit Number by a One-DigitNumber102 • Adding and Subtracting Mixed Numbers andFractions with Like DenominatorsSection 11: Lessons 101–110• Probability • Spinner • Experimental Probability• Base Ten Blocks • Divide • Ones, Tens, Hundreds,and Thousands• Fractions • Add • Fraction Circles103 • Finding Perimeter • Geometry • Area and Perimeter104 • Making a Line Graph • Graphs • Line Graph105-1 • Writing a Function Rule• Finding the Missing Numbers in a Function• Algebra • <strong>In</strong>put Output Table<strong>Saxon</strong> <strong>Math</strong> 4 (kit version) – 14 –


106 • Finding a Fractional Part of a Set • Fractions • Show • Two-Color Counters107 • Identifying the Factors of a Number• Identifying the Greatest Common Factor of TwoNumbers108 • Identifying the Rays and the Vertex of an Angle• Identifying Right and Straight Angles• Identifying the Number of Degrees in a Circle, aStraight Angle, and a Right Angle109 • Simplifying Fractions Using the Greatest CommonFactor110-1 • Graphing Ordered Pairs on a Coordinate Plane• Identifying the Coordinates of a Point on aCoordinate PlaneSection 12: Lessons 111–120• Number Charts • Multiplication Chart• Geometry • Draw • Rays• Algebra • Coordinate Grids and Coordinate Planes• Coordinate Planes111 • Identifying Acute and Obtuse Angles• Geometry • Draw • Angles• Measuring Angles Using a Protractor112 • Finding the Median of a Set of Data• Making a Stem-and-Leaf Plot113 • Identifying and Making Models of Geometric Solids • Geometry • Solid • Nets114 • Identifying the Faces, Edges, and Vertices of a • Geometry • Solid • Vertices, Faces, EdgesPolyhedron• Sketching Geometric Solids115-1 • Finding the Probability of an Event• Probability • Pull from Bag• Conducting a Probability Experiment116 • Identifying Perfect Squares • Number Charts • Multiplication Chart117 • Using the Order of Operations118 • Writing Common and Decimal Fractions asPercents• Writing Percents as Common and DecimalFractions• Identifying Frequently Used Fractions and DecimalEquivalents for Percents119 • Rounding a Number to the Nearest Ten, Hundred,or Thousand120-1 • Identifying Frequently Used Fractions and DecimalEquivalents for PercentsSection 13: Lessons 121–130121 • Drawing Angles Using a Protractor • Geometry • Draw • Angles122 • Identifying Square Roots of Perfect Squares• Approximating Square Roots• Using a Calculator to Find the Square Root of aNumber123 • Multiplying and Dividing Money Amounts • Measurement • Money • Explore124 • Identifying Right, Obtuse and Acute Angles• Measuring the Angles of a Triangle125-1 • Reading and Following a Recipe• Doubling a Recipe126 • Measuring and Drawing Line Segments UsingEighths of an <strong>In</strong>ch127 • Adding and Subtracting Fractions and MixedNumbers with Unlike Denominators128 • Finding the Volume of a Cube• Identifying Perfect Cubes and Cube Roots• Geometry • Draw • Angles• Measurement • Equivalent Measures • Capacity• Fractions • Add • Fraction Bars<strong>Saxon</strong> <strong>Math</strong> 4 (kit version) – 15 –


129 • Finding the Volume of a Rectangular Prism130-1 • Estimating and Finding Sales Tax • Measurement • Money • ExploreSection 14: Lessons 131–135131 • Identifying and Drawing Equilateral, Isosceles, and • Geometry • Draw • PolygonsScalene Triangles132 • Measuring the Circumference of a Circle• Algebra • <strong>In</strong>put Output Table• Writing and Using a Function Rule to Find theCircumference of a Circle133 • Graphing Linear Functions on a Coordinate Plane • Algebra • Coordinate Grids and Coordinate Planes• Coordinate Planes134 • Writing and Using Perimeter Formulas • Geometry • Area and Perimeter135 • Identifying Supplementary Angles• Making Line Designs<strong>Saxon</strong> <strong>Math</strong> 4 (kit version) – 16 –


<strong>Saxon</strong> <strong>Math</strong> – <strong>Manipulatives</strong> in <strong>Motion</strong><strong>Correlations</strong> of Activities by Lesson<strong>In</strong>termediate 3Section 1: Lessons 1-10, <strong>In</strong>vestigation 11 • Months and Years• Measurement • Calendar • Explore• Calendar2 • Counting Patterns • Counters • Count• Number Lines • Skip Count• Measurement • Calendar • Explore3 • Reading a Clock to the Nearest Five Minutes • Measurement • Clocks • Tell and Show Time4 • Number Line• Number Lines • Add and Explore• Thermometer5 • Fractions of an Hour • Measurement • Clocks • Tell and Show Time6 • Addition • Base-Ten Blocks • Add • Ones• Counters • Add • Two Addends• Number Chart • Addition Chart• Number Chart • Hundreds Chart • Add7 • Subtraction • Base-Ten Blocks • Subtract • Ones and Tens• Number Lines • Subtract• Counters • Subtract• Number Lines • Subtract• Number Chart • Hundreds Chart • Subtract8 • Addition and Subtraction Fact Families • Algebra • Number Balance• Number Chart • Addition Chart• Number Chart • Hundreds Chart • Add9 • Unknown Addends • Algebra • Tiles • Add• Algebra • Number Balance10 • Adding Three Numbers • Counters • Add • Three Addends<strong>In</strong>v. 1 • Pictographs and Bar Graphs • Graphs • Bar Graphs and PictographsSection 2: Lessons 11-20, <strong>In</strong>vestigation 211 • Place Value • Base-Ten Blocks • Show • Hundreds12 • Reading and Writing Numbers Through 999 • Base-Ten Blocks • Show • Hundreds13 • Adding Two-Digit Numbers • Base-Ten Blocks • Add • Tens• Number Chart • Hundreds Chart • Add14 • Subtracting Two-Digit Numbers • Base-Ten Blocks • Subtract • Tens• Number Chart • Hundreds Chart • Subtract15 • Rounding to the Nearest Ten and Hundred16 • Adding Three-Digit Numbers • Base-Ten Blocks • Add • Hundreds17 • Comparing and Ordering, Part 1 • Base-Ten Blocks • Compare • Hundreds18 • Some and Some More Stories, Part 119 • Subtracting Three-Digit Numbers, Part 1 • Base-Ten Blocks • Subtract • Hundreds20 • Some Went Away Stories, Part 1<strong>In</strong>v. 2• Working with Money21 • Naming Dollars and Cents• Exchanging Dollars, Dimes, and PenniesSection 3: Lessons 21-30, <strong>In</strong>vestigation 3• Measurement • Money • Show Amounts• Measurement • Money • Explore<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 3 – 17 –


22 • Adding Dollars and Cents • Measurement • Money • Show Amounts• Measurement • Money • Explore23 • Subtracting Three-Digit Numbers, Part 2 • Base-Ten Blocks • Subtract • Hundreds• Measurement • Money • Make Change24 • Column Addition25 • Counting Dollars and Cents • Measurement • Money • Explore• Measurement • Money • Show Amounts26 • Subtracting Dollars and Cents • Measurement • Money • Make Change27 • Comparing and Ordering, Part 2 • Base-Ten Blocks • Compare • Hundreds• Measurement • Money • Compare Amounts28 • Subtracting Across Zeros29 • Fractions of a Dollar30 • Estimating Sums and Differences<strong>In</strong>v. 3 • More About Pictographs • Graphs • Pictographs31 • Writing Directions32 • Reading and Writing Numbers Through 999,999Section 4: Lessons 31-40, <strong>In</strong>vestigation 433 • More About Number Lines • Number Lines • Explore34 • Length: <strong>In</strong>ches, Feet, and Yards • Measurement • Equivalent Measures • Length35 • Measuring to the Nearest Quarter <strong>In</strong>ch36 • Some and Some More Stories, Part 237 • Estimating Lengths and Distances38 • Reading a Clock to the Nearest Minute • Measurement • Clocks • Tell and Show Time39 • Stories About Comparing40 • Missing Numbers in Subtraction• Algebra • Tiles • Subtract• Some Went Away Stories, Part 2<strong>In</strong>v. 4 • Scale Maps • Geometry • Draw • Parallel and Perpendicular LinesSection 5: Lessons 41-50, <strong>In</strong>vestigation 541 • Modeling Fractions • Fractions • Show • Fraction Bars/Circles42 • Drawing Fractions • Fractions • Show • Fraction Bars/Circles43 • Comparing Fractions, Part 1 • Fractions • Compare • Fraction Bars/Circles44 • Fractions of a Group • Fractions • Show • Two-Color Counters45 • Probability, Part 1 • Probability • Certain, Impossible, or Likely• Probability • Compound Events • Tree Diagrams• Probability • Arrangements and Combinations46 • Fractions Equal to 1• Mixed Numbers• Fractions • Show • Fraction Bars/Circles• Fractions • Proportional Reasoning • Fraction Bars47 • Equivalent Fractions • Fractions • Compare • Fraction Bars/Circles• Fractions • Proportional Reasoning • Fraction Bars48 • Finding Fractions and Mixed Numbers on• Number Lines • Skip Counta Number Line49 • Comparing Fractions, Part 2 • Fractions • Compare • Fraction Bars/Circles• Fractions • Show • Two-Color Counters50 • Probability, Part 2 • Probability • Certain, Impossible, or Likely<strong>In</strong>v. 5 • Probability Games • Probability • Certain, Impossible, or LikelySection 6: Lessons 51-60, <strong>In</strong>vestigation 651 • Rectangles • Geometry • Plane Figures • Sides and Vertices52 • Length and Width53 • Rectangular Grid Patterns<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 3 – 18 –


54 • Multiplication as Repeated Addition55 • Multiplication Table • Number Chart • Multiplication Chart56 • Multiplication Facts: 0s, 1s, and 10s • Base-Ten Blocks • Multiply• Counters • Multiply• Number Chart • Multiplication57 • Arrays58 • Perimeter • Geometry • Area and Perimeter • Rectangle59 • Multiplication Facts: 2s and 5s • Base-Ten Blocks • Multiply• Counters • Multiply• Number Chart • Multiplication60 • Equal Groups Stories, Part 1<strong>In</strong>v. 6 • More About Bar Graphs • Graphs • Bar Graphs61 • Squares• Multiplication Facts: Square NumbersSection 7: Lessons 61-70, <strong>In</strong>vestigation 7• Base-Ten Blocks • Multiply• Counters • Multiply• Number Chart • Multiplication62 • Area, Part 1 • Geometry • Area and Perimeter • Rectangle63 • Area, Part 2 • Geometry • Area and Perimeter • Rectangle• Probability • Compound Events • Tree Diagrams• Probability • Arrangements and Combinations64 • Multiplication Facts: 9s • Base-Ten Blocks • Multiply• Counters • Multiply• Number Chart • Multiplication Chart65 • Angles • Geometry • Draw • Angles66 • Parallelograms • Geometry • Plane Figures • Sides and Vertices• Geometry • Draw • Parallel Lines• Geometry • Area and Perimeter • Parallelogram67 • Polygons • Geometry • Plane Figures • Sides and Vertices• Geometry • Draw • Polygons• Geometry • Area and Perimeter • Explore • Rectangle68 • Congruent Shapes • Geometry • Plane Figures • Congruent69 • Triangles70 • Multiplication Facts: Memory Group • Base-Ten Blocks • Multiply• Counters • Multiply• Number Chart • Multiplication<strong>In</strong>v. 7 • Symmetry, Part 1 • Geometry • Plane Figures • SymmetrySection 8: Lessons 71-80, <strong>In</strong>vestigation 871 • Rectangular Prisms • Geometry • Solid Figures • Count the Parts72 • Counting Cubes73 • Volume74 • Weight: Ounces, Pounds, and Tons • Measurement • Balance and Scale• Measurement • Equivalent Measures • Weight75 • Geometric Solids • Geometry • Solid Figures • Count the Parts76 • Multiplication Facts: 11s and 12s • Base-Ten Blocks • Multiply• Counters • Multiply• Number Chart • Multiplication77 • Multiplying Three Numbers78 • Multiplying Multiples of Ten79 • Length: Centimeters, Meters, and Kilometers • Measurement • Equivalent Measures • Length80 • Mass: Grams and Kilograms • Measurement • Equivalent Measures • Weight<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 3 – 19 –


<strong>In</strong>v. 8 • More About Geometric Solids • Geometry • Solid Figures • Counts the Parts, Viewthe Faces, and NetsSection 9: Lessons 81-90, <strong>In</strong>vestigation 981 • Multiplying Two-Digit Numbers, Part 1 • Measurement • Money • Explore82 • Fair Share • Counters • Divide83 • Finding Half of a Number • Counters • Divide• Number Charts • Multiplication Chart84 • Multiplying Two-Digit Numbers, Part 2 • Base-Ten Blocks • Multiply• Counters • Multiply85 • Using <strong>Manipulatives</strong> to Divide by aOne-Digit Number• Counters • Divide86 • Division Facts• Multiplication and Division Fact Families• Algebra • Tiles • Multiply• Counters • Multiply and Divide87 • Capacity • Measurement • Equivalent Measures • Capacity88 • Even and Odd Numbers • Number Charts • Hundred Chart89 • Using a Multiplication Table to Divide by• Number Charts • Multiplication Charta One-Digit Number90 • Equal Groups Stories, Part 2 • Counters • Multiply and Divide<strong>In</strong>v. 9 • Symmetry, Part 2 • Geometry • Plane Figures • Symmetry91 • Multiplying Three-Digit Numbers, Part 192 • Parentheses• Using Compatible Numbers, Part 193 • Estimating Products94 • Using Compatible Numbers, Part 295 • Using Estimation to Verify Answers96 • Rounding to the Nearest Dollar97 • Multiplying Three-Digit Numbers, Part 298 • Estimating by Weight and Mass99 • Effects and Estimation100 • Multiplying Dollars and Cents<strong>In</strong>v. 10• Evaluating ExpressionsSection 10: Lessons 91-100, <strong>In</strong>vestigation 10Section 11: Lessons 101-110, <strong>In</strong>vestigation 11101 • Dividing Two-Digit Numbers • Base-Ten Blocks • Divide102 • Sorting • Counters • Explore • Sorting103 • Ordering Numbers Through 999104 • Sorting Geometric Shapes105 • Diagrams for Sorting • Counters • Explore • Sorting106 • Estimating Area, Part 1107 • Drawing Enlargements108 • Estimating Area, Part 2109 • Points on a Grid • Algebra • Coordinate Planes and Coordinate Grids• Give Directions and Name a Point110 • Dot-to-Dot Design • Algebra • Coordinate Planes and Coordinate Grids• Give Directions and Name a Point<strong>In</strong>v. 11 • Planning a Design • Algebra • Coordinate Planes and Coordinate Grids• Give Directions and Name a Point<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 3 – 20 –


<strong>Saxon</strong> <strong>Math</strong> – <strong>Manipulatives</strong> in <strong>Motion</strong><strong>Correlations</strong> of Activities by Lesson<strong>In</strong>termediate 4Section 1: Lessons 1-10, <strong>In</strong>vestigation 11 • Review of Addition • Base-Ten Blocks • Add • Ones• Counters • Add • Two and Three Addends• Number Charts • Addition Chart• Number Lines • Add• Number Charts • Hundreds Chart • Add2 • Missing Addends3 • Sequences• Number Lines • Skip Count• Digits4 • Place Value • Base-Ten Blocks • Show • Hundreds• Base-Ten Blocks • Compare• Measurement • Money • Show and Compare5 • Ordinal Numbers• Measurement • Calendar • Explore• Months of the Year6 • Review of Subtraction • Base-Ten Blocks • Subtract • Ones• Counters • Subtract• Number Charts • Addition Chart • Fact Family• Number Lines • Subtract• Number Charts • Hundreds Chart • Subtract7 • Writing Numbers Through 999 • Base-Ten Blocks • Show • Hundreds• Base-Ten Blocks • Compare8 • Adding Money • Base-Ten Blocks • Add • Tens• Number Charts • Hundreds Chart • Add9 • Adding with Regrouping • Base-Ten Blocks • Add • Tens• Number Charts • Hundreds Chart • Add10 • Even Numbers and Odd Numbers • Number Charts • Hundreds Chart<strong>In</strong>v. 1 • Number Lines • Algebra • Number Balance• Number Lines • Skip CountSection 2: Lessons 11-20, <strong>In</strong>vestigation 211 • Addition Word Problems with Missing Addends • Algebra • Tiles • Add12 • Missing Numbers in Subtraction • Algebra • Tiles • Subtract13 • Adding Three-Digit Numbers • Base-Ten Blocks • Add • Hundreds14 • Subtracting Two-digit and Three-Digit Numbers• Missing Two-Digit Addends• Base-Ten Blocks • Subtract • Tens and Hundreds• Number Charts • Hundreds Chart • Subtract• Algebra • Tiles • Add15 • Subtracting Two-Digit Numbers with Regrouping • Base-Ten Blocks • Subtract • Tens• Measurement • Money • Make Change• Number Charts • Hundreds Chart • Subtract16 • Expanded Form• More on Missing Numbers in Subtraction17 • Adding Columns of Numbers with Regrouping18 • Temperature19 • Elapsed-Time Problems • Measurement • Clocks • Tell Time and Elapsed Time20 • Rounding<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 4 – 21 –


<strong>In</strong>v. 2 • Units of Length and Perimeter • Geometry • Area and Perimeter • Rectangle • Triangle• Measurement • Equivalent Measures • LengthSection 3: Lessons 21-30, <strong>In</strong>vestigation 321 • Triangles, Rectangles, Squares, and Circles • Geometry • Plane Figures • Sides and Vertices• Geometry • Draw • Polygons22 • Naming Fractions• Adding Dollars and Cents23 • Lines, Segments, Rays, and Angles • Geometry • Draw • Segments, Lines, and Rays• Geometry • Draw • Angles24 • <strong>In</strong>verse Operations25 • Subtraction Word Problems26 • Drawing Pictures of Fractions • Fractions • Show • Fraction Bars/Circles27 • Multiplication as Repeated Addition• More Elapsed-Time Problems28 • Multiplication Table • Number Charts • Multiplication Chart29 • Multiplication Facts: 0s, 1s, 2s, 5s • Base-Ten Blocks • Multiply• Counters • Multiply• Number Charts • Multiplication Chart30 • Subtracting Three-Digit Numbers with Regrouping • Measurement • Money • Compare Amounts• Measurement • Money • Make Change• Base-Ten Blocks • Subtract • Ones and Hundreds<strong>In</strong>v. 3• Multiplication Problems• Area• Squares and Square RootsSection 4: Lessons 31-40, <strong>In</strong>vestigation 4• Geometry • Area and Perimeter • Rectangle31 • Word Problems About Comparing32 • Multiplication Facts: 9s, 10s, 11s, 12s • Base-Ten Blocks • Multiply• Counters • Multiply• Number Charts • Multiplication Chart33 • Writing Numbers Through Hundred Thousands34 • Writing Numbers Through Hundred Millions35 • Naming Mixed Numbers and Money36 • Fractions of a Dollar37 • Reading Fractions and Mixed Numbers from a • Number Lines • Skip CountNumber Line38 • Multiplication Facts (Memory Group) • Base-Ten Blocks • Multiply• Counters • Multiply• Number Charts • Multiplication Chart39 • Reading an <strong>In</strong>ch Scale to the Nearest Fourth40 • Capacity • Measurement • Equivalent Measures • Capacity<strong>In</strong>v. 4A<strong>In</strong>v. 4B• Tenths and Hundredths• Relating Fractions and DecimalsSection 5: Lessons 41-50, <strong>In</strong>vestigation 541 • Subtracting Across Zero• Missing Factors42 • Rounding Numbers to Estimate43 • Adding and Subtracting Decimal Numbers, Part 1 • Measurement • Money • Make Change44 • Multiplying Two-Digit Numbers, Part 1<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 4 – 22 –


45 • Parentheses and the Associative Property• Naming Lines and Segments46 • Relating Multiplication and Division, Part 147 • Relating Multiplication and Division, Part 2 • Number Charts • Multiplication Chart48 • Multiplying Two-Digit Numbers, Part 249 • Word Problems About Equal Groups, Part 1 • Algebra • Tiles • Multiply50 • Adding and Subtracting Decimal Numbers, Part 2<strong>In</strong>v. 5• PercentsSection 6: Lessons 51-60, <strong>In</strong>vestigation 651 • Adding Numbers with More Than Three Digits• Checking One-Digit Division52 • Subtracting Numbers with More Than Three Digits • Algebra • Tiles • Multiply• Word Problems About Equal Groups, Part 253 • One-Digit Division with a Remainder • Base-Ten Blocks • Divide• Counters • Divide54 • The Calendar• Measurement • Calendar • Explore• Rounding Numbers to the Nearest Thousand55 • Prime and Composite Numbers • Number Charts • Hundred Chart• Number Charts • Multiplication Chart56 • Using Models and Pictures to Compare Fractions • Fractions • Compare • Fraction Bars/Circles57 • Rate Word Problems58 • Multiplying Three-Digit Numbers59 • Estimating Arithmetic Answers60 • Rate Problems with a Given Total<strong>In</strong>v. 6 • Displaying Data Using Graphs • Graphing • Bar Graph • Circle Graph • Pictograph• Line GraphSection 7: Lessons 61-70, <strong>In</strong>vestigation 761 • Remaining Fractions• Two-Step Equations62 • Multiplying Three or More Factors• Geometry • Area and Perimeter • Rectangle• Exponents63 • Polygons • Geometry • Plane Figures • Sides and Vertices• Geometry • Draw • Polygons64 • Division with Two-Digit Answers, Part 1 • Base-Ten Blocks • Divide65 • Division with Two-Digit Answers, Part 2 • Base-Ten Blocks • Divide66 • Similar and Congruent Figures • Geometry • Plane Figures • Congruent• Geometry • Plane Figures • Similar67 • Multiplying by Multiples of 1068 • Division with Two-Digit Answers and a Remainder • Base-Ten Blocks • Divide69 • Millimeters • Measurement • Equivalent Measures • Length70 • Word Problems About a Fraction of a Group<strong>In</strong>v. 7• Collecting Data with SurveysSection 8: Lessons 71-80, <strong>In</strong>vestigation 871 • Division Answers Ending with Zero • Base-Ten Blocks • Divide72 • Finding <strong>In</strong>formation to Solve Problems • Probability • Compound Events • Tree Diagrams• Probability • Arrangements and Combinations73 • Geometric Transformations • Geometry • Plane Figures • Transformations• Translation, Reflection, and Rotation74 • Fraction of a Set • Fractions • Show • Two-Color Counters<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 4 – 23 –


75 • Measuring Turns • Geometry • Plane Figures • Transformations• Rotation• Geometry • Plane Figures • Congruent• Geometry • Draw • Angles76 • Division with Three-Digit Answers • Base-Ten Blocks • Divide77 • Mass and Weight • Measurement • Equivalent Measures • Weight• Measurement • Balance and Scale78 • Classifying Triangles • Geometry • Draw • Angles• Geometry • Draw • Polygons79 • Symmetry • Geometry • Plane Figures • Symmetry• Geometry • Plane Figures • Transformations• Reflection and Rotation80 • Division with Zeros in Three-Digit Answers<strong>In</strong>v. 8 • Analyzing and Graphing Relationships • Algebra • <strong>In</strong>put/Output Tables• Algebra • Coordinate Planes • Give Directions• Algebra • Coordinate Grids • Name a Point• Graphing • Line GraphSection 9: Lessons 81-90, <strong>In</strong>vestigation 981 • Angle Measures • Geometry • Draw • Angles• Geometry • Draw • Angles• Counters • Explore • Sort82 • Tessellations • Geometry • Plane Figures • Tessellations• Probability • Compound Events • Tree Diagrams• Probability • Arrangements and Combinations83 • Sales Tax84 • Decimal Numbers to Thousandths85 • Multiplying by 10, by 100, and by 1000 • Counters • Explore • Sort86 • Multiplying Multiples of 10 and 100 • Probability • Compound Events • Tree Diagrams• Probability • Arrangements and Combinations87 • Multiplying Two Two-Digit Numbers, Part 188 • Remainders in Word Problems AboutEqual Groups89 • Mixed Numbers and Improper Fractions • Fractions • Show and Compare • Fraction Bars/Circles• Counters • Explore • Sort90 • Multiplying Two Two-Digit Numbers, Part 2<strong>In</strong>v. 9 • <strong>In</strong>vestigating Fractions with <strong>Manipulatives</strong> • Fractions • Compare • Fraction Bars/Circles• Fractions • Add/Subtract • Fraction Bars/Circles• Fractions • Proportional Reasoning • Fraction BarsSection 10: Lessons 91-100, <strong>In</strong>vestigation 1091 • Decimal Place Value92 • Classifying Quadrilaterals • Geometry • Plane Figures • Sides and Vertices• Geometry • Plane Figures • Symmetry• Geometry • Draw • Polygons93 • Estimating Multiplication and Division Answers • Counters • Explore • Sort94 • Two-Step Word Problems95 • Two-Step Problems About a Fractionof a Group96 • Average • Probability • Compound Events • Tree Diagrams• Probability • Arrangements and Combinations97 • Mean, Median, Range, and Mode<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 4 – 24 –


98 • Geometric Solids • Geometry • Solid Figures • Count the Parts• Probability • Compound Events • Tree Diagrams• Probability • Arrangements and Combinations99 • Constructing Prisms • Geometry • Solid Figures • Count the Parts• Geometry • Solid Figures • Nets100 • Constructing Pyramids • Geometry • Solid Figures • Count the Parts• Geometry • Solid Figures • Nets<strong>In</strong>v. 10 • Probability • ProbabilitySection 11: Lessons 101-110, <strong>In</strong>vestigation 11101 • Tables and Schedules • Measurement • Clocks • Elapsed Time102 • Tenths and Hundredths on a Number Line • Number Lines • Skip Count103 • Fractions Equal to 1 and Fractions Equal to 1/2 • Fractions • Compare • Fraction Bars/Circles• Fractions • Proportional Reasoning • Fraction Bars104 • Changing Improper Fractions to Whole or MixedNumbers105 • Dividing by 10106 • Evaluating Expressions107 • Adding and Subtracting Fractions with Common • Fractions • Add/Subtract • Fraction Bars/CirclesDenominators108 • Formulas• Geometry • Area and Perimeter • Explore • Rectangle• Distributive Property109 • Equivalent Fractions • Fractions • Compare • Fraction Bars/Circles110 • Dividing by Multiples of 10<strong>In</strong>v. 11• Volume111 • Estimating Perimeter, Area, and VolumeSection 12: Lessons 111-120, <strong>In</strong>vestigation 12112 • Reducing Fractions • Fractions • Proportional Reasoning • Fraction Bars113 • Multiplying a Three-Digit Number by a Two-DigitNumber114 • Simplifying Fraction Answers115 • Renaming Fractions116 • Common Denominators117 • Rounding Whole Numbers Through HundredMillions118 • Dividing by Two-Digit Numbers119 • Adding and Subtracting Fractions with DifferentDenominators120 • Adding and Subtracting Mixed Numbers withDifferent Denominators<strong>In</strong>v. 12 • Solving Balanced Equations• Fractions • Add/Subtract • Fraction Bars/Circles<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 4 – 25 –


<strong>Saxon</strong> <strong>Math</strong> – <strong>Manipulatives</strong> in <strong>Motion</strong><strong>Correlations</strong> of Activities by Lesson<strong>In</strong>termediate 51 • Sequences• DigitsSection 1: Lessons 1-10, <strong>In</strong>vestigation 1• Number Charts • Hundred Chart• Number Lines • Skip Count2 • Even and Odd Numbers • Number Charts • Hundred Chart• Number Lines • Skip Count3 • Using Money to Illustrate Place Value • Base-Ten Blocks • Show • Hundreds• Measurement • Money • Show Amounts4 • Comparing Whole Numbers • Algebra • Number Balance• Base-Ten Blocks • Compare• Counters • Compare Counters5 • Naming Whole Numbers and Money • Base-Ten Blocks • Compare• Measurement • Money • Compare Amounts6 • Adding Whole Numbers • Base-Ten Blocks • Add • Hundreds• Measurement • Money • Show• Number Charts • Addition Chart• Number Charts • Hundreds Chart • Add• Counters • Add • Two and Three Addends7 • Writing and Comparing Numbers ThroughHundred Thousands• Ordinal Numbers8 • Relationship Between Addition and Subtraction • Base-Ten Blocks • Subtract • Ones• Number Charts • Addition Chart • Fact Families• Number Charts • Hundreds Chart • Subtract9 • Practicing the Subtraction Algorithm • Base-Ten Blocks • Subtract • Hundreds10 • Missing Addends • Algebra • Tiles • Add• Number Charts • Addition Chart• Number Charts • Hundreds Chart • Add<strong>In</strong>v. 1 • Translating and Writing Word ProblemsSection 2: Lessons 11-20, <strong>In</strong>vestigation 211 • Word Problems About Combining • Base-Ten Blocks • Subtract • Hundreds12 • Lines• Number Lines• Tally Marks13 • Multiplication as Repeated Addition• Adding and Subtracting Dollars and Cents• Geometry • Draw • Segments, Lines, and Rays• Number Lines • Explore• Measurement • Money • Make Change14 • Missing Numbers in Subtraction • Algebra • Tiles • Subtract15 • Making a Multiplication Table • Number Charts • Multiplication Chart16 • Word Problems About Separating • Base-Ten Blocks • Add and Subtract • Hundreds• Number Charts • Hundreds Chart • Add and Subtract17 • • Multiplying by One-Digit Numbers • Base-Ten Blocks • Multiply• Number Charts • Multiplication Chart18 • Three Factors and Missing Factors • Algebra • Tiles • Multiply19 • Relationship Between Multiplication and Division20 • Three Ways to Show Division<strong>In</strong>v. 2 • Fractions: Halves, Fourths, and Tenths • Fractions • Compare • Fraction Bars/Circles<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 5 – 26 –


Section 3: Lessons 21-30, <strong>In</strong>vestigation 321 • Word Problems About Equal Groups22 • Division With and Without Remainders • Base-Ten Blocks • Divide • Hundreds• Counters • Divide23 • Recognizing Halves • Fractions • Compare • Fraction Bars/Circles24 • Parentheses and the Associative Property25 • Listing the Factors of Whole Numbers • Number Charts • Multiplication Chart26 • Division Algorithm • Base-Ten Blocks • Divide27 • Reading Scales • Number Lines • Subtract28 • Measuring Time and Elapsed Time • Measurement • Clocks • Show and Elapsed Time• Measurement • Calendar • Explore and Elapsed Time29 • Multiplying by Multiples of 10 and 10030 • <strong>In</strong>terpreting Pictures of Fractions, Decimals, andPercents<strong>In</strong>v. 3 • Fractions: Thirds, Fifths, and Eighths • Fractions • Compare • Fraction Bars/Circles31 • Pairs of Lines• AnglesSection 4: Lessons 31-40, <strong>In</strong>vestigation 4• Geometry • Draw • Segments, Lines, and Rays• Geometry • Draw • Angles32 • Polygons • Geometry • Plane Figures • Sides and Vertices• Geometry • Plane Figures • Congruent and Similar• Geometry • Draw • Polygons33 • Rounding Numbers and Estimating34 • Division with Zeros in the Quotient • Base-Ten Blocks • Divide35 • Word Problems About Comparing and ElapsedTime36 • Classifying Triangles • Geometry • Plane Figures • Sides and Vertices• Geometry • Draw • Angles and Polygons37 • Drawing Pictures of Fractions • Fractions • Show • Fraction Bars/Circles38 • Fractions and Mixed Numbers on a Number Line39 • Comparing Fractions by Drawing Pictures • Fractions • Compare • Fraction Bars/Circles40 • Writing Quotients with Mixed Numbers<strong>In</strong>v. 4 • Pattern Recognition • Algebra • <strong>In</strong>put/Output Tables• Number Lines • Multiply and ExploreSection 5: Lessons 41-50, <strong>In</strong>vestigation 541 • Adding and Subtracting Fractions with Common • Fractions • Add and Subtract • Fraction Bars/CirclesDenominators42 • Short Division• Divisibility by 3, 6, and 943 • More Arithmetic with Mixed Numbers44 • Measuring Lengths with a Ruler • Measurement • Equivalent Measures • Length45 • Classifying Quadrilaterals • Geometry • Plane Figures • Sides and Vertices• Geometry • Draw • Polygons and Parallel Lines46 • Word Problems About a Fraction of a Group • Fractions • Show • Two-Color Counters47 • Simplifying Mixed Measures48 • Reading and Writing Whole Numbers in ExpandedNotation49 • Solving Multiple-Step Word Problems50 • Finding an Average<strong>In</strong>v. 5 • Organizing and Analyzing Data • Graphs • Bar Graphs • Pictographs • Line Graphs• Line PlotsSection 6: Lessons 51-60, <strong>In</strong>vestigation 6<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 5 – 27 –


51 • Multiplying by Two-Digit Numbers52 • Naming Numbers through Hundred Billions53 • Perimeter• Measures of a Circle54 • Dividing by Multiples of 1055 • Multiplying by Three-Digit Numbers• Geometry • Area and Perimeter • Rectangle• Triangle56 • Multiplying by Three-Digit Numbers that <strong>In</strong>cludeZero57 • Probability • Probability • Certain, Impossible, or Likely58 • Writing Quotients with Mixed Numbers59 • Subtracting a Fraction from 1 • Fractions • Subtract • Fraction Bars/Circles• Fractions • Proportional Reasoning • Fraction Bars60 • Finding a Fraction to Complete a Whole<strong>In</strong>v. 6 • Line Graphs • Graphs • Line Graphs61 • Using Letters to Identify Geometric FiguresSection 7: Lessons 61-70, <strong>In</strong>vestigation 762 • Estimating Arithmetic Answers with Rounded andCompatible Numbers63 • Subtracting a Fraction from a Whole NumberGreater Than 164 • Using Money to Model Decimal Numbers65 • Decimal Parts of a Meter • Measurement • Equivalent Measures • Length66 • Reading a Centimeter Scale • Measurement • Equivalent Measures • Length67 • Writing Tenths and Hundredths as DecimalNumbers68 • Naming Decimal Numbers69 • Comparing and Ordering Decimal Numbers70 • Writing Equivalent Decimal Numbers<strong>In</strong>v. 7 • Displaying Data • Graphs • Bar Graphs, Circle Graphs, Pictographs• Counters • Explore • SortSection 8: Lessons 71-80, <strong>In</strong>vestigation 871 • Fractions, Decimals, and Percents72 • Area, Part 1 • Geometry • Area and Perimeter • Rectangle73 • Adding and Subtracting Decimal Numbers74 • Units of Length • Measurement • Equivalent Measures • Length75 • Changing Improper Fractions to Whole or MixedNumbers76 • Multiplying Fractions • Fractions • Multiply77 • Converting Units of Weight and Mass • Measurement • Equivalent Measures • Weight78 • Exponents and Square Roots • Number Charts • Multiplication Chart79 • Finding Equivalent Fractions by Multiplying by 180 • Prime and Composite Numbers • Number Charts • Multiplication Chart<strong>In</strong>v. 8• Graphing Points on a Coordinate Plane• TransformationsSection 9: Lessons 81-90, <strong>In</strong>vestigation 9• Algebra • Coordinate Planes and Coordinate Grids •Give Directions and Name a Point• Geometry • Plane Figures • Transformations• Translation, Reflection, and Rotation81 • Reducing Fractions, Part 1 • Fractions • Proportional Reasoning • Fraction Bars82 • Greatest Common Factor (GCF)83 • Properties of Geometric Solids • Geometry • Solid Figures • Count the Parts• Geometry • Solid Figures • Nets<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 5 – 28 –


84 • Mean, Median, Mode, and Range85 • Units of Capacity • Measurement • Equivalent Measures • Capacity86 • Multiplying Fractions and Whole Numbers87 • Using <strong>Manipulatives</strong> and Sketches to DivideFractions88 • Transformations • Geometry • Plane Figures • Transformations• Translation, Reflection, and Rotation89 • Analyzing Prisms • Geometry • Solid Figures • Count the Parts90 • Reducing Fractions, Part 2 • Fractions • Proportional Reasoning • Fraction Bars<strong>In</strong>v. 9 • Performing Probability Experiments • Probability • Coin Toss • Spinner • Pull from a Bag• Number CubeSection 10: Lessons 91-100, <strong>In</strong>vestigation 1091 • Simplifying Improper Fractions92 • Dividing by Two-Digit Numbers93 • Comparative Graphs • Graphs • Bar Graphs • Line Graphs94 • Using Estimation When Dividing by Two-DigitNumbers95 • Reciprocals96 • Using Reciprocals to Divide Fractions97 • Ratios98 • Temperature99 • Adding and Subtracting Whole Numbers andDecimal Numbers100 • Simplifying Decimal Numbers<strong>In</strong>v. 10 • Measuring Angles • Geometry • Draw • Angles101 • Rounding Mixed Numbers102 • Subtracting Decimal Numbers Using ZerosSection 11: Lessons 101-110, <strong>In</strong>vestigation 11103 • Volume • Geometry • Solid Figures • Nets104 • Rounding Decimal Numbers to the Nearest WholeNumber105 • Symmetry and Transformations • Geometry • Plane Figures • Symmetry• Geometry • Plane Figures • Transformations• Translation, Reflection, and Rotation106 • Reading and Ordering Decimal Numbers ThroughTen Thousandths107 • Using Percent to Name Part of a Group108 • Schedules • Measurement • Clocks • Elapsed Time109 • Multiplying Decimal Numbers110 • Multiplying Decimal Numbers: Using Zeros asPlaceholders<strong>In</strong>v. 11 • Scale Drawings111 • Multiplying Decimal Numbers by 10,by 100, and by 1000112 • Finding the Least Common Multiple ofTwo Numbers113 • Writing Mixed Numbers as Improper FractionsSection 12: Lessons 111-120, <strong>In</strong>vestigation 12• Number Charts • Hundred Chart114 • Using Formulas115 • Area, Part 2 • Geometry • Area and Perimeter • Explore andRectangle• Probability • Compound Events • Tree Diagrams<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 5 – 29 –


116 • Finding Common Denominators to Add, Subtract,and Compare Fractions117 • Dividing a Decimal Number by a Whole Number118 • More on Dividing Decimal Numbers• Probability • Arrangements and Combinations119 • Dividing by a Decimal Number120 • Multiplying Mixed Numbers<strong>In</strong>v. 12 • Tessellations • Geometry • Tessellations<strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 5 – 30 –


<strong>Saxon</strong> <strong>Math</strong> – <strong>Manipulatives</strong> in <strong>Motion</strong>Correlation of Activities by LessonCalifornia <strong>Math</strong> 3Section 1: Lessons 1–101 • Telling and Showing Time to the Hour• Solving Elapsed-Time Problems2 • Graphing Data on a Bar Graph• Reading a Graph3/4 • Identifying Digits and Writing Two-Digit Numbers• Telling and Showing Time to the Half Hour• Estimating Time to the Nearest Half Hour5/6 • Identifying Addends, Sums, and the CommutativeProperty of Addition• Addition Facts: Adding 0, Adding 1, and Doubles• Identifying a Missing Addend• Estimating Length to the Nearest <strong>In</strong>ch• Measuring and Drawing Line Segments to theNearest <strong>In</strong>ch• Drawing Congruent Line Segments7/8 • Identifying the Properties of a Rectangle• Identifying and Measuring the Length and Width ofa Rectangle• Ordering Two-Digit Numbers9/10-1 • Identifying Even and Odd Numbers• Subtraction Facts: Subtracting 0 and 1;Differences of 0 and 1• Using Logical Reasoning to Solve a Problem• Making an Organized List to Solve a Problem10-2 • Identifying the Relative Value of Pattern Blocks• Covering Designs with Pattern Blocks• Measurement • Clocks • Tell Time on a Clock• Graphs • Bar Graphs • Simple• Base Ten Blocks • Show • Ones and Tens• Counters • Add • Two Addends• Geometry • Area and Perimeter • Rectangle• Probability • Arrangements and Combinations• Combinations• Geometry • Plane • Sides and CornersSection 2: Lessons 11–2011 • Identifying, Acting Out, Drawing Pictures, and • Counters • Add • Two AddendsWriting Number Sentences for “Some, SomeMore” and “Some, Some Went Away” StoryProblems12 • Dividing Squares into Two and Four Equal Parts • Geometry • Plane • Congruent• Identifying Congruent Shapes13 • Counting Dimes and Nickels• Measurement • Money • Compare• Comparing the Values of Sets of Coins14/15-1 • Adding 10 to a Two-Digit Number and Subtracting • Number Charts • Hundred Chart • Add10 from a Two-Digit Number Using MentalComputation• Addition Facts: Sums of 1015-2 • Identifying the Relative Value of Pattern Blocks • Geometry • Plane • Sides and Corners• Making a Design with a Given Value Using PatternBlocks16 • Writing the Date Using Digits • Measurement • Calendar • Days and Months17 • Dividing Squares into Two, Four, and Eight EqualParts• Identifying and Shading Halves, Fourths, andEighths• Fractions • Show • Fraction BarsCalifornia <strong>Saxon</strong> <strong>Math</strong> 3 – 31 –


18 • Reading a Thermometer to the Nearest 10Degrees Fahrenheit• Rounding Numbers to the Nearest Ten19/20-1 • Rounding Numbers to the Nearest Ten• Number Charts • Addition Chart • Fact Families• Addition Facts: Adding 2• Writing Addition and Subtraction Fact Families• Using Logical Reasoning to Solve a Problem• Working Backward to Solve a Problem20-2 • Naming and Drawing Polygons • Geometry • Draw • PolygonsSection 3: Lessons 21–3021 • Dividing a Square into Three Equal Parts• Identifying and Shading Thirds22 • Rewriting Numbers by Regrouping Tens and Ones• Trading Dimes and Pennies• Making an Organized List• Fractions • Show • Fraction Bars• Probability • Arrangements and Combinations• Combinations23 • Counting Dimes, Nickels, and Pennies • Measurement • Money • Show Amount24/25-1 • Writing Fractions Using the Fraction Bar• Fractions • Show • Fraction Bars• Addition Facts: Adding 925-2 • Writing Fraction Number Sentences That Equal 1 • Fractions • Add • Fraction Bars26 • Identifying Dozen and Half Dozen• Writing a Fraction to Show a Part of a Set27 • Reading and Writing Numbers to 1,000 UsingDigits28/29 • Writing Money Amounts Using Dollar Signs andCent Symbols• Reading and Shading a Thermometer to theNearest 2 Degrees Fahrenheit30-1 • Addition Facts: Adding 3 and 4• Using Guess and Check to Solve a Problem• Solving a Problem by Acting It Out30-2 • Collecting Data• TallyingSection 4: Lessons 31–4031 • Adding Multiples of 10 Using Mental Computation• Estimating the Sum of Two Two-Digit Numbers32 • Estimating, Measuring, and Drawing LineSegments Using Centimeters33 • Adding a Multiple of 10 to a Number Using MentalComputation34/35-1 • Ordering Three-Digit Numbers• Listing Combinations• Addition Facts: Adding 5 and 6• Fractions • Add • Fraction Bars• Measurement • Money • Show Amount• Number Lines • Add• Graphs • Bar Graphs • Simple• Base Ten Blocks • Add • Tens• Base Ten Blocks • Add • Ones and Tens• Base Ten Blocks • Compare • Ones, Tens, andHundreds35-2 • Writing Number Sentences for “Some, SomeMore” and “Some, Some Went Away” Stories• Writing Story Problems for Addition andSubtraction Number Sentences36 • Counting Quarters • Measurement • Money • Show Amount37/38 • Finding Half of a Set of Objects• Adding Three or More Single-Digit Numbers39 • Telling and Showing Time to Five-Minute <strong>In</strong>tervals• Identifying a.m. and p.m.• Identifying the Number of Minutes in an Hour andthe Number of Hours in a Day• Counters • Divide• Measurement • Clocks • Tell Time on a ClockCalifornia <strong>Saxon</strong> <strong>Math</strong> 3 – 32 –


40-1 • Addition Facts: Adding 7 and 8• Drawing a Picture to Solve a Problem• Making a Table to Solve a Problem40-2 • Conducting a Survey• Drawing and Reading a PictographSection 5: Lessons 41–50• Algebra • <strong>In</strong>put Output Table• Graphs • Pictograph41 • Identifying Place Value to Hundreds• Base Ten Blocks • Show • Ones, Tens, and Hundreds• Writing Three-Digit Numbers in Expanded Form42 • Adding Two-Digit Numbers Using Mental• Base Ten Blocks • Add • Ones and TensComputation43 • Naming Line Segments• Geometry • Draw • Polygons• Identifying and Making Scalene, Isosceles, andEquilateral Triangles44/45-1 • Identifying a Missing Digit in an Addition Problem • Number Charts • Multiplication Chart• Multiplying by 1 and by 10• Identifying Factors and Products45-2 • Estimating and Finding the Capacity of Containers • Measurement • Equivalent Measures • Capacity• Ordering Containers by Capacity• Identifying 1-Cup Liquid Measure• Identifying Pint, Quart, Half-Gallon, Gallon, andLiter Containers46 • Reading a Thermometer to the Nearest DegreeFahrenheit• Identifying the Freezing and Boiling Points ofWater and Normal Body Temperature on theFahrenheit Scale• Estimating a Reasonable Temperature47 • Using Comparison Symbols (>,


58 • Identifying and Drawing Lines of Symmetry • Geometry • Plane • Symmetry59 • Writing Division Problems in Three Ways• Dividing by 10, by 7, and by 1• Identifying Quotients60-1 • Subtraction Facts: Subtracting 2; Differences of 2• Using Guess and Check to Solve a Problem• Solving a Problem by Making It Simpler60-2 • Measuring with Cups, Tablespoons, andTeaspoons• Reading a RecipeSection 7: Lessons 61–70• Counters • Divide• Number Lines • Subtract• Measurement • Equivalent Measures • Capacity61 • Writing a Part of a Set as a Fraction • Fractions • Show • Two-Color Counters62 • Subtracting a Multiple of 10 from a Number UsingMental Computation• Estimating Differences of Two Two-Digit Numbers63 • Squaring Numbers• Identifying Perfect Squares• Finding the Area of a Square• Simplifying Expressions with Exponents of 264 • Showing Three- and Four-Digit Numbers UsingBase Ten Blocks• Writing Three- and Four-Digit Numbers for aModel or a Picture65-1 • Subtraction Facts: Subtracting 3 and 4;Differences of 3 and 465-2 • Following a Recipe• Setting a Dial and Determining Elapsed Time66 • Identifying the Missing Addend in a “Some, SomeMore” Story• Number Charts • Hundred Chart • Subtract• Geometry • Area and Perimeter • Rectangles• Base Ten Blocks • Show • Ones, Tens, Hundreds,and Thousands• Number Lines • Subtract• Measurement • Clocks • Elapsed Time• Number Lines • Add67 • Subtracting Two-Digit Numbers • Base Ten Blocks • Subtract • Ones and Tens68 • Writing Numbers to 1,000 Using Words69 • Adding and Subtracting Multiples of 100 • Number Lines • Add70-1 • Multiplication Facts: Multiplying by 2• Algebra • <strong>In</strong>put Output Table• Looking for a Pattern to Solve a Problem• Drawing a Picture to Solve a Problem• Making a Table to Solve a Problem70-2 • Drawing and Reading a Line Graph • Graphs • Line Graph • SimpleSection 8: Lessons 71–8071 • Telling and Showing Time to the Minute • Measurement • Clocks • Tell Time on a Clock72 • Rounding a Number to the Nearest Hundred• Estimating Sums and Differences of Three-DigitNumbers73 • Comparing Fractions with Denominators of 2, 3,and 6 Using Pattern Blocks (Part 1)• Adding and Subtracting Fractions withDenominators of 2, 3, and 6 Using PatternBlocks (Part 1)74 • Writing a Fraction to Show a Part of a Whole• Comparing Fractions with Denominators of 2, 3,and 6 Using Pattern Blocks (Part 2)• Adding and Subtracting Fractions withDenominators of 2, 3, and 6 Using PatternBlocks (Part 2)75-1 • Subtraction Facts: Subtracting 5 and 6;Differences of 5 and 6• Base Ten Blocks • Add • Ones, Tens, and Hundreds• Fractions • Add • Fraction Bars• Fractions • Add • Fraction Bars• Number Lines • SubtractCalifornia <strong>Saxon</strong> <strong>Math</strong> 3 – 34 –


75-2 • Reading and Writing Roman Numerals to 3176 • Adding Three-Digit Numbers • Base Ten Blocks • Add • Ones, Tens, and Hundreds77 • Identifying Ordinal Position78 • Reading and Writing Money Amounts to $1,000 • Measurement • Money • Show Amount• Writing Money Amounts Using Fractions andDecimals• Writing Checks79 • Selecting Coins for a Given Amount • Measurement • Money • Show Amount80-1 • Subtraction Facts: Subtracting 7, 8, and 9• Solving a Problem by Making It Simpler• Drawing a Picture to Solve a Problem• Making a Table to Solve a Problem• Looking for a Pattern to Solve a Problem80-2 • Making Reasonable Predictions by Collecting andAnalyzing DataSection 9: Lessons 81–90• Counters • Explore • Make Patterns• Probability • Certain, Likely, Impossible • From a Bag81 • Finding Square Roots of Perfect Squares• Finding the Length of the Side of a Square Giventhe Area82 • Adding Money Amounts (Decimals) • Measurement • Money • Explore83 • Reading and Showing the Temperature on theCelsius Scale84 • Identifying the Number of Days in Each Month • Measurement • Calendar • Days and Months• Identifying the Number of Days in a Year85-1 • Multiplication Facts: Multiplying by 0; Multiplying • Number Charts • Multiplication Chartby 5• Identifying the Commutative Property ofMultiplication85-2 • Estimating and Measuring Distance Using Feet, • Measurement • Equivalent Measures • LengthYards, and Meters• Identifying the Number of <strong>In</strong>ches in a Foot and in aYard, Feet in a Yard, and Centimeters in a Meter86 • Identifying and Solving “Larger-Smaller-Difference” Problems87 • Making and Drawing Arrays• Counters • Multiply• Writing Number Sentences for Arrays88 • Estimating and Finding the Area of a Rectangle • Geometry • Area and Perimeter • Rectangles89 • Finding the Sum of Three Addends • Counters • Add • Three Addends90-1 • Division Facts: Dividing by 2 and by 5• Working Backward to Solve a Problem90-2 • Determining the Likelihood of an Event• Determining the Fairness of a Game91 • Subtracting Two- and Three-Digit Numbers(Part 1)92 • Subtracting Two- and Three-Digit Numbers(Part 2)93 • Comparing and Ordering Unit Fractions withDenominators of 2, 3, 4, and 8 Using FractionStrips• Adding and Subtracting Fractions with LikeDenominators of 2, 3, 4, and 8 Using FractionStrips• Counters • DivideSection 10: Lessons 91–100• Probability • Spinner• Base Ten Blocks • Subtract • Ones, Tens, andHundreds• Base Ten Blocks • Subtract • Ones, Tens, andHundreds• Fractions • Add • Fraction BarsCalifornia <strong>Saxon</strong> <strong>Math</strong> 3 – 35 –


94 • Comparing and Ordering Fractions with• Fractions • Add • Fraction BarsDenominators of 2, 3, 4, 5, 6, 8, and 10 UsingPictures• Identifying Fractions That Equal 1/2 Using Pictures• Adding and Subtracting Fractions with LikeDenominators of 2, 3, 4, 5, 6, 8, and 1095-1 • Multiplication Facts: Multiplying by 3 • Number Charts • Multiplication Chart95-2 • Identifying Units of Weight and Mass: Ounces, • Measurement • Equivalent Measures • WeightPounds, Tons, Grams, and Kilograms• Estimating the Mass of an Object96 • Subtracting Money Amounts (Decimals)• Measurement • Money • Explore• Subtracting Across Zeros97 • Telling and Showing Time to the Quarter Hour • Measurement • Clocks • Tell Time on a Clock98 • Showing Fractional Amounts Greater Than 1 • Fractions • Show • Fraction Circles• Writing Mixed Numbers99 • Measuring and Drawing Line Segments to theNearest Quarter <strong>In</strong>ch100-1 • Multiplication Facts: Multiplying by 4• Number Charts • Multiplication Chart• Making an Organized List to Solve a Problem100-2 • Identifying Parallel Lines and Line Segments • Geometry • Plane • Sides and Corners• Identifying the Properties of QuadrilateralsSection 11: Lessons 101–110101 • Finding the Missing Addend for a Sum of 100 • Base Ten Blocks • Subtract • Ones and Tens102 • Making Change from $1.00 • Measurement • Money • Make Change103 • Reading and Writing Six-Digit Numbers• Multiplying by 100 and by 1,000• Base Ten Blocks • Show • Ones, Tens, Hundreds,and Thousands104 • Writing a Four-Digit Number in Expanded Form • Base Ten Blocks • Show • Ones, Tens, Hundreds,and Thousands105-1 • Division Facts: Dividing by 3 and by 4• Number Charts • Multiplication Chart • Fact Families• Writing Multiplication and Division Fact Families105-2 • Identifying Perpendicular Lines and LineSegments106 • Adding Money Amounts to $99,999.99• Measurement • Money • Explore• Writing Checks for Money Amounts to $99,999.99107 • Acting Out, Drawing Pictures, and Writing NumberSentences for Division Story Problems108 • Writing Number Sentences for Division StoryProblems109 • Multiplying a Multiple of 10, 100, or 1,000 by aSingle-Digit Number110-1 • Multiplication Facts: Multiplying by 9• Number Charts • Multiplication Chart• Solving a Problem by Making It Simpler• Making a Table to Solve a Problem110-2 • Identifying Transformations: Translations,• Geometry • Plane • TranslationsRotations, and ReflectionsSection 12: Lessons 111–120111 • Identifying a Fractional Part of a Set• Determining Age• Fractions • Show • Two-Color Counters112 • Multiplying a One-Digit Number and a Two-DigitNumber Using Mental Computation113 • Identifying Right, Obtuse, and Acute Angles• Naming Triangles by Angle Size114 • Measuring Line Segments Using Millimeters• Base Ten Blocks • Multiply • Ones, Tens, andHundreds• Geometry • Draw • Angles115-1 • Multiplication Facts: Multiplying by 6 • Number Charts • Multiplication ChartCalifornia <strong>Saxon</strong> <strong>Math</strong> 3 – 36 –


115-2 • Identifying Geometric Solids• Geometry • Solid • Vertices, Faces, Edges• Identifying Faces, Vertices, and Edges of aGeometric Solid• Constructing a Cube116 • Multiplying a Single-Digit Number and a Multi-DigitNumber Using the Multiplication Algorithm117 • Identifying a Function Rule • Algebra • <strong>In</strong>put Output Table118 • Simplifying Expressions Containing Parentheses• Multiplying Three or More Factors• Using the Associative Property of Multiplication119 • Writing Tenths Using Common and DecimalFractions• Measuring to the Nearest Tenth of a Centimeter120-1 • Making and Using a Multiplication Table• Multiplication Facts: Multiplying by 8• Working Backward to Solve a Problem• Using Guess and Check to Solve a Problem120-2 • Identifying the Factors of a Number• Identifying Prime Numbers Less Than 20121 • Finding the Volume of a Rectangular Prism• Measurement • Equivalent Measures • Length• Number Charts • Multiplication Chart• Counters • MultiplySection 13: Lessons 121–130122 • Dividing Two- and Three-Digit Multiples of 10 by aOne-Digit Number Using Mental Computation123 • Locating Negative Numbers on a Number Line • Number Lines • Explore124 • Dividing a Two-Digit Number by a One-Digit • Base Ten Blocks • Divide • Ones and TensNumber125-1 • Determining Unit Cost• Counters • Divide• Division Facts: Dividing by 6, by 8, and by 9125-2 • Locating <strong>In</strong>formation on a Map126 • Showing Addition, Subtraction, and Multiplication • Number Lines • Addon a Number Line127 • Identifying Units of Measure for Long Distances • Measurement • Equivalent Measures • Length• Using a Scale to Find Distance on a Map128 • Adding Positive and Negative Numbers • Number Lines • Add129 • Creating a Coordinate Plane• Identifying the Location of a Point on a CoordinatePlane130-1 • Graphing Points on a Coordinate Plane• Solving a Problem by Making It Simpler130-2 • Showing Large Numbers Using Objects• Rounding Numbers to the Nearest Thousand• Comparing and Ordering Six-Digit NumbersSection 14: Lessons 131–E131 • Writing Hundredths Using Common and DecimalFractions132 • Dividing a Two-Digit Number by a One-DigitNumber with a Remainder133 • Simplifying Expressions with Addition, Subtraction,Multiplication, and Division134 • Identifying Place Value to Millions135 • Estimating a Large Collection by SamplingA• Making a Line Plot• Identifying the Mode, Range, and Median of a Setof Data• Algebra • Coordinate Grids and Coordinate Planes• Points on a Plane• Algebra • Coordinate Grids and Coordinate Planes• Points on a Plane• Base Ten Blocks • Compare • Ones, Tens, Hundreds,and Thousands• Graphs • Line PlotCalifornia <strong>Saxon</strong> <strong>Math</strong> 3 – 37 –


B • Finding the Mean of a Set of DataC • Calculating the Probability of an Event • Probability • Coin TossDEF• Using a Calculator to Add, Subtract, Multiply,Divide, and Find Square Roots• Predicting the Relative Size of Solutions• Choosing an Appropriate Method for Finding theAnswer to a Problem• Using a Calculator to Compare Data• Using a Calculator to Find the Range and Mean ofa Set of Data• Multiplying and Dividing Money AmountsCalifornia <strong>Saxon</strong> <strong>Math</strong> 3 – 38 –


<strong>Saxon</strong> <strong>Math</strong> – <strong>Manipulatives</strong> in <strong>Motion</strong><strong>Correlations</strong> of Activities by LessonCalifornia <strong>In</strong>termediate 4Section 1: Lessons 1-10, <strong>In</strong>vestigation 11 • Sequences • Number Lines • Skip Count• Number Charts • Hundred Chart2 • Place Value • Base-Ten Blocks • Show • Hundreds• Base-Ten Blocks • Compare• Measurement • Money • Show and Compare3 • Writing Numbers Through 999 • Base-Ten Blocks • Show • Hundreds• Base-Ten Blocks • Compare4 • Missing Addends • Algebra • Number Balance• Algebra • Tiles • Add• Counters • Add <strong>In</strong>tegers5 • Expanded Form • Base-Ten Blocks • Show • Details6 • Adding Three-Digit Numbers • Base-Ten Blocks • Add7 • Missing Numbers in Subtraction • Algebra • Tiles • Subtract8 • <strong>In</strong>verse Operations: Adding and Subtracting9 • Order of Operations, Part 110 • Subtracting Three-Digit Numbers with Regrouping • Base-Ten Blocks • Subtract • Tens• Measurement • Money • Make Change• Number Charts • Hundreds Chart • Subtract<strong>In</strong>v. 1 • Writing Word ProblemsSection 2: Lessons 11-20, <strong>In</strong>vestigation 211 • Adding Columns of Numbers with Regrouping12 • Word Problems About Combining13 • Elapsed-Time Problems • Measurement • Clocks • Tell Time and Elapsed Time• Measurement • Calendar • Explore and Elapsed Time14 • Subtraction Across Zeros15 • Word Problems About Separating16 • Word Problems About Comparing17 • Lines, Segments, Rays, and Angles • Geometry • Draw • Segments, Lines, and Rays• Geometry • Draw • Angles18 • Triangles, Rectangles, Squares, and Circles • Geometry • Plane Figures • Sides and Vertices• Geometry • Draw • Polygons19 • Representing Fractions • Fractions • Use Fraction Circles to Compare Fractions20 • Perimeter • Geometry • Area and Perimeter<strong>In</strong>v. 2 • Number Lines • Algebra • Number Balance• Number Lines • Skip CountSection 3: Lessons 21-30, <strong>In</strong>vestigation 321 • Temperature22 • Rounding to the Nearest Ten or Hundred23 • Multiplication • Number Charts • Multiplication Chart• Base-Ten Blocks • MultiplyCalifornia <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 4 – 39 –


24 • Multiplication Facts: 0s, 1s, 2s, 5s • Base-Ten Blocks • Multiply• Counters • Multiply• Number Charts • Multiplication Chart25 • Multiplication Facts (9s and Squares) • Number Charts • Multiplication Chart • Fact Family26 • Parentheses and the Associative Property27 • Writing Numbers Through Hundred Thousands28 • Dollars and Cents • Measurement • Money29 • Fractions of a Dollar30 • Multiplication Facts (Memory Group) • Base-Ten Blocks • Multiply• Counters • Multiply• Number Charts • Multiplication Chart<strong>In</strong>v. 3 • Area Models • Geometry • Area and Perimeter • RectangleSection 4: Lessons 31-40, <strong>In</strong>vestigation 431 • Exploring Perimeter and Area • Geometry • Area and Perimeter • Rectangle andTriangle32 • Fractions and Mixed Numbers • Fractions • Compare • Fraction Bars/Circles33 • Naming Lines and Line Segments • Geometry • Draw • Segments, Lines, and Rays34 • Relating Multiplication and Division • Number Charts • Multiplication • Fact Family35 • <strong>In</strong>verse Operations: Multiplying and Dividing • Number Charts • Multiplication Chart36 • Order of Operations, Part 237 • Multiplying Multiples of 10 and 100, Part 138 • Multiplying Two-Digit Numbers39 • Word Problems About Multiplication40 • Rounding to the Nearest Thousand<strong>In</strong>v. 4• Relating Fractions and DecimalsSection 5: Lessons 41-50, <strong>In</strong>vestigation 541 • Decimal Place Value42 • Units of Length • Measurement • Equivalent Measures • Length43 • Tenths and Hundredths on a Number Line • Number Lines • Skip Count44 • Equivalent Decimals45 • Adding and Subtracting Decimal Numbers • Measurement • Money • Make Change46 • Rounding to the Nearest Whole Number47 • Reading and Writing Numbers in Millions48 • Rounding Large Numbers49 • Reading and Writing Numbers Through HundredMillions50 • Polygons • Geometry • Plane Figures • Sides and Vertices• Geometry • Draw • Polygons<strong>In</strong>v. 5 • Displaying Data Using Graphs • Graphs • Bar Graph, Circle Graph, Pictograph, andLine Graph51 • Adding Large Numbers52 • Subtracting Large Numbers53 • Word Problems About DivisionSection 6: Lessons 51-60, <strong>In</strong>vestigation 654 • Remainders • Base-Ten Blocks • Divide• Counters • DivideCalifornia <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 4 – 40 –


55 • Factors and Multiples • Number Charts • Hundred Chart• Number Charts • Multiplication Chart56 • Prime and Composite Numbers • Number Charts • Hundred Chart• Number Charts • Multiplication Chart56 • Comparing and Ordering Fractions • Fractions • Compare • Fraction Bars/Circles57 • Rate Word Problems58 • Multiplying Large Numbers60 • Rate Word Problems with a Given Total<strong>In</strong>v. 6 • Collecting Data with Surveys • Graphs • Bar Graph, Circle Graph, Pictograph, LineGraph, Line PlotSection 7: Lessons 61-70, <strong>In</strong>vestigation 761 • Estimating Arithmetic Answers62 • Rounding to the Nearest Tenth63 • Order of Operations, Part 364 • Two-Step Equations65 • Exponents66 • Area of a Rectangle • Geometry • Area and Perimeter • Rectangle67 • Remaining Fractions68 • Division with Two-Digit Answers, Part 169 • Division with Two-Digit Answers, Part 270 • Similar and Congruent Figures • Geometry • Plane Figures • Congruent• Geometry • Plane Figures • Similar<strong>In</strong>v. 7 • Coordinate Graphing • Algebra • Coordinate Planes • Give Directions• Algebra • Coordinate Grids • Name a PointSection 8: Lessons 71-80, <strong>In</strong>vestigation 871 • Multiplying by Multiples of 1072 • Division with Two-Digit Answers and a Remainder • Base-Ten Blocks • Divide73 • Capacity • Measurement • Equivalent Measures • Capacity74 • Word Problems About a Fraction of a Group75 • Division Answers Ending with Zero • Base-Ten Blocks • Divide76 • Finding <strong>In</strong>formation to Solve Problems • Probability • Compound Events • Tree Diagrams• Probability • Arrangements and Combinations77 • Fraction of a Set • Fractions • Show • Two-Color Counters78 • Measuring Turns • Geometry • Plane Figures • Transformations• Rotation• Geometry • Plane Figures • Congruent• Geometry • Draw • Angles79 • Division with Three-Digit Answers • Base-Ten Blocks • Divide80 • Mass and Weight • Measurement • Equivalent Measures • Weight• Measurement • Balance and Scale<strong>In</strong>v. 8• <strong>In</strong>vestigating Equivalent Fractions with<strong>Manipulatives</strong>Section 9: Lessons 81-90, <strong>In</strong>vestigation 9• Fractions • Compare • Fraction Bars/Circles• Fractions • Add/Subtract • Fraction Bars/Circles• Fractions • Proportional Reasoning • Fraction Bars81 • Classifying Triangles • Geometry • Draw • Angles• Geometry • Draw • PolygonsCalifornia <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 4 – 41 –


82 • Symmetry • Geometry • Plane Figures • Symmetry• Geometry • Plane Figures • Transformations• Reflection and Rotation83 • Division with Zeros in Three-Digit Answers84 • Multiplying by 10, 100, and 1000 • Counters • Explore • Sort• Number Charts • Multiplication Chart85 • Multiplying Multiples of 10 and 100, Part 286 • Multiplying Two Two-Digit Numbers, Part 187 • Remainders in Word Problems88 • Multiplying Two Two-Digit Numbers, Part 289 • Mixed Numbers and Improper Fractions • Fractions • Show and Compare • Fraction Bars/Circles• Counters • Explore • Sort90 • Classifying Quadrilaterals • Geometry • Plane Figures • Sides and Vertices• Geometry • Plane Figures • Symmetry• Geometry • Draw • Polygons<strong>In</strong>v. 9 • Analyzing Relationships • Algebra • <strong>In</strong>put/Output Tables• Algebra • Coordinate Planes • Give Directions• Algebra • Coordinate Grids • Name a Point• Graphs • Line GraphSection 10: Lessons 91-100, <strong>In</strong>vestigation 1091 • Estimating Multiplication and Division Answers • Counters • Explore • Sort92 • Comparing and Ordering Fractions and Decimals • Fractions • Compare93 • Two-Step Problems94 • Two-Step Problems About a Fraction of a Group95 • Describing Data • Graphs • Line Plot • Analyze Data96 • Geometric Solids • Geometry • Solid Figures • Count the Parts• Probability • Compound Events • Tree Diagrams• Probability • Arrangements and Combinations97 • Constructing Prisms • Geometry • Solid Figures • Count the Parts• Geometry • Solid Figures • Nets98 • Fractions Equal to 1 and Fractions Equal to 1/2 • Fractions • Compare • Fraction Bars/Circles• Fractions • Proportional Reasoning • Fraction Bars99 • Changing Improper Fractions to Whole Numbersor Mixed Numbers100 • Adding and Subtracting Fractions with Common • Fractions • Add/Subtract • Fraction Bars/CirclesDenominators<strong>In</strong>v. 10 • Graphing Relationships • Algebra • <strong>In</strong>put/Output Tables• Algebra • Coordinate Planes • Give Directions• Algebra • Coordinate Grids • Name a Point• Graphs • Line GraphSection 11: Lessons 101-110, <strong>In</strong>vestigation 11101 • Formulas • Geometry • Area and Perimeter • Rectangle andExplore102 • The Distributive Property103 • Equivalent Fractions • Fractions • Compare • Fraction Bars/Circles104 • Rounding Whole Numbers Through HundredMillions105 • Factoring Whole Numbers • Number Charts • Hundred Chart• Number Charts • Multiplication ChartCalifornia <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 4 – 42 –


106 • Reducing Fractions • Fractions • Proportional Reasoning • Fraction Bars107 • Multiplying a Three-Digit Number by a Two-DigitNumber108 • Analyzing Prisms • Geometry • Solid Figures109 • Constructing Pyramids • Geometry • Solid Figures • Count the Parts• Geometry • Solid Figures • Nets110 • Simple Probability • Probability<strong>In</strong>v. 11 • Probability • ProbabilitySection 12: Lessons 111-114111 • Multiplying Three-Digit Numbers112 • Simplifying Fraction Answers • Fractions • Compare113 • Renaming Fractions and Common Denominators • Fractions • Compare114 • Perimeter and Area of Complex FiguresCalifornia <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 4 – 43 –


<strong>Saxon</strong> <strong>Math</strong> – <strong>Manipulatives</strong> in <strong>Motion</strong><strong>Correlations</strong> of Activities by LessonCalifornia <strong>In</strong>termediate 5Section 1: Lessons 1-10, <strong>In</strong>vestigation 11 • Sequences • Number Charts • Hundred Chart• Number Lines • Skip Count2 • Number Lines • Number Lines • Explore3 • Missing Numbers in Addition and Subtraction • Algebra • Tiles • Add• Number Charts • Addition Chart• Number Charts • Hundreds Chart • Add/Subtract4 • Addition and Subtraction Word Problems5 • Word Problems About Comparing6 • Missing Numbers in Multiplication and Division • Algebra • Tiles • Multiply7 • Order of Operations8 • Evaluating Expressions and Equations • Algebra • Files • Multiply• Algebra • <strong>In</strong>put/Output Table9 • Reading Scales • Number Lines • Subtract10 • Elapsed Time • Measurement • Clocks • Show and Elapsed Time• Measurement • Calendar • Explore and Elapsed Time<strong>In</strong>v. 1 • Fractions: Halves, Fourths, and Tenths • Fractions • Compare • Fraction Bars/CirclesSection 2: Lessons 11-20, <strong>In</strong>vestigation 211 • Writing and Comparing Numbers ThroughHundred Thousands12 • Multiplying by One-Digit Numbers • Base-Ten Blocks • Multiply• Number Charts • Multiplication Chart13 • Word Problems About Equal Groups14 • Division with and without Remainders • Base-Ten Blocks • Divide • Hundreds• Counters • Divide15 • Recognizing Halves • Fractions • Compare • Fraction Bars/Circles16 • Listing Factors of a Whole Number • Number Charts • Hundred Chart• Number Charts • Multiplication Chart17 • Division Algorithm • Base-Ten Blocks • Divide• Number Charts • Multiplication Chart18 • Multiplying by Multiples of 10 and 10019 • <strong>In</strong>terpreting Pictures of Fractions, Decimals, and • Fractions • Show • Fraction Bars/CirclesPercents20 • Lines and Angles • Geometry • Draw • Segments, Lines, and Rays• Geometry • Draw • Angles<strong>In</strong>v. 2 • Fractions: Thirds, Fifths, and Eighths • Fractions • Compare • Fraction Bars/CirclesSection 3: Lessons 21-30, <strong>In</strong>vestigation 321 • Polygons • Geometry • Plane Figures • Sides and Vertices• Geometry • Plane Figures • Congruent and Similar• Geometry • Draw • Polygons22 • Rounding Numbers and Estimating23 • Division with Zeros in the Quotient • Base-Ten Blocks • DivideCalifornia <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 5 – 44 –


24 • Classifying Triangles • Geometry • Plane Figures • Sides and Vertices• Geometry • Draw • Polygons25 • Fractions and Mixed Numbers on a Number Line26 • Comparing Fractions by Drawing Pictures • Fractions • Compare • Fraction Bars/Circles27 • Writing Quotients with Mixed Numbers28 • Adding and Subtracting Fractions with Common • Fractions • Add and Subtract • Fraction Bars/CirclesDenominators29 • Short Division and Divisibility by 3, 6, and 9 • Counters • Divide30 • More Arithmetic with Mixed Numbers<strong>In</strong>v. 3 • Measuring Angles • Geometry • Draw • AnglesSection 4: Lessons 31-40, <strong>In</strong>vestigation 431 • Sum of the Angle Measures of a Triangle orRectangle32 • Measuring Lengths with a Ruler • Measurement • Equivalent Measures • Length33 • Classifying Quadrilaterals • Geometry • Plane Figures • Sides and Vertices• Geometry • Draw • Polygons and Parallel Lines34 • Word Problems About a Fraction of a Group35 • Simplifying Mixed Measures36 • Reading and Writing Whole Numbers in ExpandedNotation37 • Solving Multiple-Step Word Problems38 • Finding an Average39 • Multiplying by Two-Digit Numbers40 • The Distributive Property<strong>In</strong>v. 4 • Constructions • Geometry • Draw • Polygons41 • Naming Numbers through Hundred BillionsSection 5: Lessons 41-50, <strong>In</strong>vestigation 542 • Dividing by Multiples of 1043 • Multiplying by Three-Digit Numbers44 • Multiplying by Three-Digit Numbers that <strong>In</strong>cludeZero45 • Simple Probability • Probability • Certain, Impossible, or Likely46 • Subtracting a Fraction from 1 • Fractions • Subtract • Fraction Bars/Circles• Fractions • Proportional Reasoning • Fraction Bars47 • Writing Quotients with Mixed Numbers48 • Finding a Fraction to Complete a Whole • Fractions • Explore49 • Line Graphs • Graphs • Line Graphs50 • Estimating Arithmetic Answers<strong>In</strong>v. 5 • Organizing and Analyzing Data • Graphs • Bar Graphs, Pictographs, Line Graphs, andLine PlotsSection 6: Lessons 51-60, <strong>In</strong>vestigation 651 • Subtracting a Fraction from a Whole NumberGreater Than 152 • Using Money to Model Decimal Numbers • Measurement • Money • Show Amounts53 • Writing Tenths and Hundredths as DecimalNumbers54 • Fractions and Decimals on a Number Line • Number Lines • Explore55 • Naming Decimal Numbers56 • Comparing and Ordering Decimal Numbers57 • Writing Equivalent Decimal NumbersCalifornia <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 5 – 45 –


58 • Fractions, Decimals, and Percents59 • Area of a Rectangle • Geometry • Area and Perimeter • Rectangle60 • Adding and Subtracting Decimal Numbers<strong>In</strong>v. 6 • The Coordinate Plane • Algebra • Coordinate Planes and Coordinate Grids •Give Directions and Name a PointSection 7: Lessons 61-70, <strong>In</strong>vestigation 761 • Units of Length • Measurement • Equivalent Measures • Length62 • Comparing Improper Fractions to Whole or MixedNumbers63 • Multiplying Fractions • Fractions • Multiply64 • Converting Units of Weight and Mass • Measurement • Equivalent Measures • Weight65 • Prime and Composite Numbers • Number Charts • Multiplication Chart66 • Prime Factorization • Number Charts • Hundred Chart • Show Patterns67 • Exponents and Square Roots68 • Order of Operations with Exponents69 • Finding Equivalent Fractions by Multiplying by 170 • Writing Fractions and Decimals as Percents<strong>In</strong>v. 7 • Displaying Data • Graphs • Bar Graphs, Circle Graphs, Pictographs• Counters • Explore • SortSection 8: Lessons 71-80, <strong>In</strong>vestigation 871 • Reducing Fractions, Part 1 • Fractions • Proportional Reasoning • Fraction Bars72 • Writing Percents as Fractions and Decimals73 • Greatest Common Factor (GCF)74 • Mean, Median, Mode, and Range75 • Parallelograms • Geometry • Plane Figures • Nets76 • Area of a Triangle • Geometry • Area • Triangle77 • Units of Capacity • Measurement • Equivalent Measures • Capacity78 • Multiplying Fractions and Whole Numbers79 • Using <strong>Manipulatives</strong> and Sketches to DivideFractions80 • Reducing Fractions, Part 2 • Fractions • Proportional Reasoning • Fraction Bars<strong>In</strong>v. 8 • Patterns and Functions • Algebra • <strong>In</strong>put/Output Tables• Number Lines • Multiply and ExploreSection 9: Lessons 81-90, <strong>In</strong>vestigation 981 • Simplifying Improper Fractions82 • Dividing by Two-Digit Numbers83 • Comparative Graphs • Graphs • Bar Graphs, Line Graphs84 • Estimating the First Digit of a Quotient85 • Reciprocals86 • Using Reciprocals to Divide Fractions87 • Comparing Data • Probability • Coin Toss88 • Representing <strong>In</strong>tegers89 • Adding <strong>In</strong>tegers90 • Adding and Subtracting Whole Numbers andDecimal Numbers<strong>In</strong>v. 9 • Rectangular Solids • Geometry • Solid Figures • Nets91 • Simplifying Decimal Numbers92 • Rounding Mixed Numbers93 • Subtracting Decimal Numbers Using ZerosSection 10: Lessons 91-100, <strong>In</strong>vestigation 10California <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 5 – 46 –


94 • Rounding Decimal Numbers to the Nearest WholeNumber95 • Subtracting <strong>In</strong>tegers • Counters • Add <strong>In</strong>tegers96 • Solving Problems <strong>In</strong>volving <strong>In</strong>tegers • Counters • Add <strong>In</strong>tegers97 • Using Percent to Name Part of a Group • Graphs • Circle Graph • Show Percents98 • Multiplying Decimal Numbers99 • Multiplying Decimal Numbers Using Zeros asPlaceholders100 • Multiplying Decimal Numbers by 10, by 100, andby 1000<strong>In</strong>v. 10 • Cubes • Geometry • Solid Figures • NetsSection 11: Lessons 101-110, <strong>In</strong>vestigation 11101 • Two-Dimensional Views of Three-Dimensional • Geometry • Solid Figures • NetsFigures102 • Finding the Percent of a Number103 • Finding the Least Common Multiple of Two • Number Charts • Hundred ChartNumbers104 • Writing Mixed Numbers as Improper Fractions105 • Using Formulas • Geometry • Area and Perimeter • Rectangle • Explore106 • Complex Figures • Geometry • Area and Perimeter • Explore107 • Finding Common Denominators108 • Using the Least Common Denominator (LCD)109 • Dividing a Decimal Number by a Whole Number110 • More on Dividing Decimal Numbers<strong>In</strong>v. 11 • Analyzing Relationships • Algebra • <strong>In</strong>put/Output Tables• Algebra • Coordinate Planes and Coordinate Grids• Point on Grid111 • Multiplying Decimal Numbers by 10, by 100, and1000112 • Subtracting Mixed Numbers with Regrouping113 • Adding and Subtracting Mixed Numbers withRegrouping114 • Dividing by a Decimal NumberSection 12: Lessons 111-114California <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 5 – 47 –


<strong>Saxon</strong> <strong>Math</strong> – <strong>Manipulatives</strong> in <strong>Motion</strong><strong>Correlations</strong> of Activities by LessonCalifornia <strong>In</strong>termediate 6Section 1: Lessons 1-10, <strong>In</strong>vestigation 11 • Sequences • Number Charts • Hundred Chart• Number Lines • Skip Count2 • Order of Operations, Part 13 • Properties of Operations4 • Multistep Problems • Algebra • Tiles • Add/Subtract/Multiply5 • Unknown Numbers in Addition, Subtraction,Multiplication, and Division6 • Translating and Evaluating Expressions andEquations7 • Addition and Subtraction Word Problems8 • Multiplication and Division Word Problems• Algebra • Tiles • Add/Subtract/Multiply• Algebra • Tiles • Add/Subtract/Multiply9 • The Number Line: Negative Numbers • Number Lines • Explore • Change the Number Line10 • Calculating the Mean<strong>In</strong>v. 1 • <strong>In</strong>vestigating Fractions with <strong>Manipulatives</strong> • Fractions • Explore • Fraction Bars/Circles• Fractions • Show • Fraction Bars/CirclesSection 2: Lessons 11-20, <strong>In</strong>vestigation 211 • Factors and Prime Numbers • Number Charts • Multiplication Chart• Number Charts • Hundreds Chart12 • Greatest Common Factor (GCF)13 • Factors and Divisibility14 • The Number Line: Fractions and Mixed Numbers • Number Lines • Explore15 • “Equal Groups” Problems with Fractions • Fractions • Multiply16 • Ratio and Rate17 • Adding and Subtracting Fractions That HaveCommon Denominators18 • Writing Quotients and <strong>In</strong>terpreting Remainders • Counters • Divide• Fractions • Add • Fraction Bars/Circles• Fractions • Subtract • Fraction Bars/Circles19 • Multiples • Number Charts • Multiplication Chart20 • Angles • Geometry • Draw • Draw Angles<strong>In</strong>v. 2• Surveys and SamplesSection 3: Lessons 21-30, <strong>In</strong>vestigation 321 • Rounding and Estimation22 • Adding and Subtracting Mixed Numbers withCommon Denominators23 • Perimeters and Areas of Rectangles • Geometry • Area and Perimeter • Rectangle24 • Multiplying Fractions • Fractions • Multiply • Fraction Bars/Circles25 • Reducing Fractions by Dividing by Common • Fractions • Proportional Reasoning • Fraction BarsFactors26 • Least Common Multiple (LCM) • Number Charts • Hundred Chart27 • Writing Percents as Fractions, Part 128 • Compare and Order Decimals, Part 129 • Relating Fractions and Decimals30 • Circle Graphs • Graphs • Circle Graphs<strong>In</strong>v. 3• Data and SamplingCalifornia <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 6 – 48 –


31 • Subtracting Fractions and Mixed Numbers fromWhole Numbers32 • Squares and Square Roots33 • Multiplying Decimal Numbers34 • Using Zero as a Placeholder35 • Finding a Percent of a Number36 • Reciprocals37 • Renaming Fractions by Multiplying by 138 • Equivalent Division Problems39 • Finding Unknowns in Fraction and DecimalProblems40 • Compare and Order Decimals, Part 2<strong>In</strong>v. 4• Statistics and Sampling41 • Dividing a Decimal Number by a Whole Number• Decimal Chart42 • Circumference43 • Subtracting Mixed Numbers with Regrouping,Part 144 • Dividing by a Decimal Number45 • Dividing by a Fraction46 • Rounding Decimal Numbers47 • Positive and Negative Decimals48 • Reducing by Grouping Factors Equal to 1Section 4: Lessons 31-40, <strong>In</strong>vestigation 4Section 5: Lessons 41-50, <strong>In</strong>vestigation 549 • Dividing Fractions50 • Multiply or Divide with Fractions • Fractions • Multiply<strong>In</strong>v. 5 • Graphing • Algebra • Coordinate Plane • Point on Plane• Algebra • Coordinate Grid • Point on GridSection 6: Lessons 51-60, <strong>In</strong>vestigation 651 • Simplifying Fractions • Fractions • Compare52 • Multiplying by Denominators to Add, Subtract,and Compare Fractions53 • Finding Common Denominators • Fractions • Add • Fraction Bars54 • Probability and Chance • Probability • Spinner • Experimental Probability• Probability • Spinner • Theoretical Probability55 • Adding and Subtracting Fractions and MixedNumbers56 • Adding Three or More Fractions57 • Writing Mixed Numbers as Improper Fractions58 • Subtracting Mixed Numbers with Regrouping,Part 259 • Classifying Quadrilaterals • Geometry • Plane Figures • Count60 • Complementary and Supplementary Angles<strong>In</strong>v. 6 • Compound Experiments • Probability • Compound Events • Do an Experiment• Probability • Compound Events • Make a TreeDiagramSection 7: Lessons 61-70, <strong>In</strong>vestigation 761 • Prime Factorizations • Number Charts • Hundred Chart • Show Patterns62 • Multiplying Mixed Numbers63 • Using Prime Factorization to Reduce FractionsCalifornia <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 6 – 49 –


64 • Dividing Mixed Numbers65 • Reducing Fractions Before Multiplying66 • Parallelograms • Geometry • Plane Figures • Count67 • Multiplying Three Fractions68 • Writing Decimal Numbers as Fractions69 • Writing Fractions and Ratios as Decimal Numbers70 • Disjoint Events<strong>In</strong>v. 7 • Experimental and Theoretical Probability • Probability • Spinner • Experimental Probability• Probability • Spinner • Theoretical ProbabilitySection 8: Lessons 71-80, <strong>In</strong>vestigation 871 • Exponents72 • Order of Operations, Part 273 • Writing Fractions and Decimals as Percents,Part 174 • Comparing Fractions by Converting to DecimalForm75 • Finding Unstated <strong>In</strong>formation in FractionProblems76 • Metric System • Measurement • Equivalent Measures • Capacity• Measurement • Equivalent Measures • Length• Measurement • Equivalent Measures • Weight77 • Area of a Triangle • Geometry • Area and Perimeter • Triangle78 • Using a Constant Factor to Solve Ratio Problems79 • Arithmetic with Units of Measure80 • <strong>In</strong>dependent and Dependent Events<strong>In</strong>v. 8 • Probability and Predicting • Probability • Compound EventsSection 9: Lessons 81-90, <strong>In</strong>vestigation 981 • U.S. Customary System • Measurement • Equivalent Measures • Capacity• Measurement • Equivalent Measures • Length• Measurement • Equivalent Measures • Weight82 • Proportions83 • Using Cross Products to Solve Proportions84 • Area of a Circle85 • Finding Unknown Factors86 • Using Proportions to Solve Ratio Word Problems87 • Geometric Formulas • Geometry • Area and Perimeter88 • Distributive Property89 • Reducing Rates Before Multiplying90 • Classifying Triangles • Geometry • Plane Figures • Sides and Vertices• Geometry • Draw • Polygons<strong>In</strong>v. 9 • Balanced Equations91 • Using Properties of Equality to Solve Equations92 • Writing Fractions and Decimals as Percents,Part 293 • Formulas and Substitution94 • Transversals95 • Sum of the Angle Measures of Triangles andQuadrilaterals96 • Fraction-Decimal-Percent Equivalents97 • Algebraic Addition ActivitySection 10: Lessons 91-100, <strong>In</strong>vestigation 10California <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 6 – 50 –


98 • Addition of <strong>In</strong>tegers • Counters • Add <strong>In</strong>tegers99 • Subtraction of <strong>In</strong>tegers • Counters • Subtract100 • Ratio Problems <strong>In</strong>volving Totals<strong>In</strong>v. 10 • Similar Figures • Geometry • Plane Figures • SimilarSection 11: Lessons 101-110, <strong>In</strong>vestigation 11101 • Complex Shapes • Geometry • Area and Perimeter • Explore102 • Using Proportions to Solve Percent Problems103 • Multiplying and Dividing <strong>In</strong>tegers • Base-Ten Blocks • Multiply, Divide104 • Applications Using Division105 • Unit Multipliers106 • Writing Percents as Fractions, Part 2107 • Order of Operations with Positive and NegativeNumbers108 • Evaluations with Positive and Negative Numbers109 • Translating and Evaluating Expressions andEquations, Part 2110 • Finding a Whole When a Fraction is Known<strong>In</strong>v. 11• Scale Factor: Scale Drawings and Models111 • Finding a Whole When a Percent is Known112 • Percent Word Problems113 • Volume of a Cylinder114 • Volume of a Right SolidSection 12: Lessons 111-114California <strong>Saxon</strong> <strong>Math</strong> <strong>In</strong>termediate 6 – 51 –

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