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5th Grade Academic Math 2012-2013 5 Grade Academic Math ...

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<strong>5th</strong> <strong>Grade</strong> <strong>Academic</strong> <strong>Math</strong> <strong>2012</strong>‐<strong>2013</strong><br />

Resources:<br />

Investigations by Scott Foresman<br />

Middle School <strong>Math</strong> Course 1 by McDougal/Littell<br />

Study Island<br />

Teaching Time:<br />

66 minutes/day = 330 teaching minutes/week<br />

Prerequisite Skills: Addition and subtraction of whole numbers, multiplication of whole numbers(1, 2<br />

and 3 digits), division of a whole number by a single digit, and multiplication facts to 12.<br />

CALCULATORS will not be permitted for student use.<br />

Extended time will not be permitted on any assessment unless stated in an IEP or 504.<br />

No extra credit given.<br />

Daily use of Calendar <strong>Math</strong> to review 5 th grade math vocabulary: Prime, Composite, Factors, Multiples,<br />

Perfect Squares, Parallel, Perpendicular, Sum, Difference, Product, Quotient, Mean, Median, Mode,<br />

Range, basic probability<br />

5 th <strong>Grade</strong> <strong>Academic</strong> <strong>Math</strong> Course Overview<br />

Whole Number Operations<br />

Numbers and Operations in Base Ten<br />

Numbers and Operations of Fractions<br />

Measurement<br />

Geometry<br />

Ratios, Proportions, and Percents<br />

Introduction to Integers<br />

Integration of <strong>Math</strong> and Science Topics: Creating and interpreting line, bar, stem‐ and‐ leaf, frequency<br />

tables, histograms, and pictographs, metric system, mass, capacity, measuring<br />

length, and selection of units.<br />

Common Assessments: Approximately one quiz and one test per chapter.<br />

Enrichment Opportunities: <strong>Math</strong> Counts (October to January), Equations (February and March), and<br />

24 Challenge (mid April to May)


Whole Number Operations<br />

Chapter 1<br />

<br />

<br />

<br />

1.1‐Whole Number Operations including Patterns<br />

1.2‐Whole Number Estimation/Rounding<br />

1.3‐Powers and Exponents<br />

Assessment: Quiz 1.1‐1.3<br />

<br />

<br />

<br />

1.4‐Order of Operations *Multiplication/Division and Addition/Subtract paired up left to right,<br />

new concept for students fraction bar indicating division<br />

1.5‐Variable and Expressions‐Include and define perimeter of triangles (P= A + B + C) and<br />

perimeter of rectangle (P=l + l + w + w)<br />

1.7‐A Problem Solving Plan<br />

Assessment: Chapter Test (1.1‐1.5, and 1.7)


Numbers and Operations in Base Ten<br />

Chapter 3<br />

<br />

<br />

<br />

<br />

3.1‐Decimals and Place Values<br />

* Word form and decimal form<br />

* Expanded form<br />

3.3‐Ordering Decimals with Graphing on a Number Line<br />

3.4‐Rounding Decimals<br />

3.5‐Decimal Estimation<br />

Assessment: Quiz 3.1‐3.5<br />

<br />

3.6‐Adding and Subtracting Decimals<br />

Assessment: Chapter Test (3.1, 3.3‐3.6)<br />

Chapter 4<br />

<br />

4.1‐Multiplying Decimals and Whole Numbers<br />

4.3‐Multiplying Decimals with Area of Rectangles (A = lw) and Squares (A=s 2 )<br />

Assessment: Quiz 4.1 & 4.3<br />

<br />

<br />

4.4‐Dividing by Whole Numbers<br />

4.6‐Dividing by Decimals<br />

Assessment: Chapter Test (4.1, 4.3, 4.4, and 4.6)


Numbers and Operations of Fractions<br />

Chapter 5<br />

5.1‐Prime Factorization and Divisibility Rules: 2,3,5,and 10<br />

<br />

<br />

<br />

5.2‐Greatest Common Factor<br />

5.3‐Equivalent Fractions<br />

5.4‐Least Common Multiple<br />

Assessment: Quiz 5.1‐5.4<br />

Investigations: Name that Portion (used to introduce fractions/decimals/percents)<br />

Assessment: Quiz Investigations 1 and 2<br />

<br />

<br />

<br />

<br />

5.5‐Ordering Fractions<br />

5.6‐Mixed Numbers and Improper Fractions<br />

5.7‐Changing Decimals to Fractions<br />

5.8‐Changing Fractions to Decimals<br />

Assessment: Quiz 5.5‐5.8<br />

Chapter 6<br />

<br />

<br />

<br />

6.1‐Fraction Estimation<br />

6.2‐ Addition and Subtraction of Fractions with Common Denominators<br />

6.3‐Fractions with Different Denominators<br />

Assessment: Quiz 6.1‐6.3<br />

<br />

6.4‐Addition and Subtraction of Mixed Numbers<br />

Assessment: Chapter 6 Test (6.1 to 6.4)


Measurement<br />

Chapters 2 & 7<br />

<br />

<br />

<br />

2.1‐Measuring Length(must be able to use a ruler to the nearest 1/16 of an inch)<br />

7.6‐Weight and Capacity in Customary Units(formulas for conversion factors in customary units<br />

given on PSSA and on assessments)<br />

7.7‐Changing Customary Units<br />

Assessment:<br />

Quiz 2.1, 7.6‐7.7~ Conversion Factors given on assessment<br />

Geometry<br />

Chapter 9<br />

<br />

<br />

<br />

<br />

9.1‐Introduction to Geometry<br />

9.2‐Angles<br />

9.3‐Classifying Angles<br />

9.4‐Classifying Triangles<br />

Assessment: Quiz 9.1‐9.4<br />

<br />

<br />

<br />

<br />

<br />

9.6‐ Polygons<br />

*Picturing Polygon: Investigations 1 and 2 to teach lesson<br />

9.5‐Classifying Quadrilaterals<br />

10.5‐Classifying Solids<br />

9.7‐Congruent and Similar Figures<br />

*Picturing Polygons: Investigations 3 to teach lesson<br />

9.8‐Line Symmetry<br />

Assessment:<br />

Quiz 9.5‐9.8, and 10.5 and Investigations 1, 2, and 3 of Picturing Polygons


Area of Polygons<br />

<br />

2.2‐Area of Square<br />

2<br />

A s<br />

2.2‐Area of Rectangle A lw<br />

10.1‐Area of Parallelogram A bh<br />

1<br />

10.2‐Area of a Triangle A bh or 2<br />

bh<br />

A <br />

2<br />

Assessment: Quiz on Area (2.2, 2.3, 10.1, and 10.2)<br />

HAPPY PI DAY‐March 14 th :<br />

10.3‐ Circles, radius, diameter, pi and circumference.<br />

Chapter 11<br />

<br />

<br />

<br />

11.6‐Coordinate Plane only<br />

11.6‐Translation<br />

11.7‐Reflections and Rotations<br />

Assessment: Quiz 11.6‐11.7<br />

Chapter 7<br />

<br />

<br />

<br />

<br />

7.1 Multiplying Fractions<br />

7.2 Multiplying Fractions by Whole Number/Mixed Number<br />

7.3 Multiplying Fractions and Mixed Numbers (Include Area problems)<br />

7.4‐7.5 Dividing Fractions<br />

Assessment: Quiz 7.1‐7.5


Ratio, Proportions, and Percents<br />

Chapter 8<br />

<br />

<br />

<br />

<br />

8.1 Ratios<br />

8.2 Rates<br />

8.3 Solving Proportions (equivalent ratios)<br />

8.4 Scale Drawings (equivalent ratios)<br />

Assessment: Quiz 8.1‐8.4<br />

<br />

<br />

8.5 Percents<br />

8.6 Percents, Decimals, and Fractions<br />

Assessment: Quiz 8.5‐8.6<br />

Integers<br />

Chapter 11<br />

<br />

11.1‐Compare Integers and graph integers on a number line<br />

Assessment: Quiz 11.1

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