Cognitive Tutor® Bridge to Algebra Software Table of Contents

Cognitive Tutor ® Bridge to Algebra Software Table of Contents
Unit 1 Picture Algebra
1.1 Using Picture Algebra with Multiplication
1.2 Using Picture Algebra with Addition
1.3 Using Picture Algebra with Subtraction
Unit 2 Least Common Multiple
2.1 Finding LCM of Two Numbers
2.2 Finding LCM in Real-World Problems
Unit 3 Greatest Common Factor
3.1 Finding GCF of Two Numbers
3.2 Finding GCF in Real-World Problems
Unit 4 Fraction Representations
4.1 Identifying Fractions from Part-to-Whole Models
4.2 Creating Part-to-Whole Models from Fractions
4.3 Identifying Fractions from Group Models
4.4 Creating Group Models from Fractions
4.5 Identifying Fractions from Number Line Models
4.6 Creating Number Line Models from Fractions
Unit 5 Division of Multiple Wholes as Fractions
5.1 Dividing Multiple Wholes as Proper Fractions
5.2 Dividing Multiple Wholes as Improper Fractions
5.3 Dividing Multiple Wholes as Proper and Improper Fractions
Unit 6 Division of Groups as Fractions
6.1 Finding Parts of Groups using Fractions
6.2 Finding Group Totals using Fractions
6.3 Finding Parts of Groups or Group Totals using Fractions
Unit 7 Equivalent Fractions
7.1 Writing Equivalent Fractions using Part-to-Whole Models
7.2 Writing Equivalent Fractions using Number Line Models
7.3 Writing Simplified Fractions using Part-to-Whole Models
7.4 Writing Simplified Fractions using Number Line Models
7.5 Comparing Fractions using Part-to-Whole Models
7.6 Comparing Fractions using Symbols
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Cognitive Tutor ® Bridge to Algebra Software Table of Contents
Unit 8 Fraction Addition and Subtraction
8.1 Adding and Subtracting Fractions with Like Denominators using Part-to-Whole
Models
8.2 Adding and Subtracting Fractions with Like Denominators using Number Line
Models
8.3 Adding and Subtracting Fractions with Unlike Denominators using Part-to-Whole
Models
8.4 Adding and Subtracting Fractions with Unlike Denominators using Number Line
Models
8.5 Adding and Subtracting Fractions with Unlike Denominators using the Solver
Unit 9 Mixed Numbers and Improper Fractions
9.1 Converting Mixed Numbers to Improper Fractions
9.2 Converting Improper Fractions to Mixed Numbers
9.3 Adding and Subtracting Mixed Numbers
Unit 10 Fraction Multiplication and Division
10.1 Multiplying Fractions using Area Models
10.2 Multiplying and Dividing Fractions using the Solver
10.3 Multiplying and Dividing Mixed Numbers using the Solver
Unit 11 Decimals and Place Value
11.1 Writing Money Amounts using Place Value
11.2 Writing Decimals using Place Value
11.3 Identifying Place Values and Digits of Decimals
11.4 Writing Decimals using Expanded Notation
Unit 12 Fraction and Decimal Conversions
12.1 Converting Decimals to Fractions
12.2 Converting Special Fractions to Decimals
12.3 Converting Fractions to Decimals using Equivalent Fractions
Unit 13 Decimal Addition and Subtraction
13.1 Adding and Subtracting Decimals using Place-Value Labels
13.2 Adding and Subtracting Decimals using Regrouping
13.3 Adding Three Decimals
Unit 14 Decimal Multiplication and Division
14.1 Multiplying Decimals
14.2 Dividing Decimals by Whole Numbers
14.3 Dividing Decimals by Decimals
14.4 Converting Fractions to Decimals using Division
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Cognitive Tutor ® Bridge to Algebra Software Table of Contents
Unit 15 Ratios and Proportions
15.1 Writing Ratios
15.2 Comparing Rates
15.3 Solving Proportions Using Equivalent Fractions
15.4 Solving Proportions Using Means and Extremes
Unit 16 Fraction, Decimal, and Percent Conversions
16.1 Converting Common Percents
16.2 Converting with Percents Less Than 100
16.3 Converting with Percents Greater Than 100
16.4 Converting with Percents Less Than 1
16.5 Converting with Fractional Percents
Unit 17 Percents and Proportions
17.1 Using Common Percents
17.2 Finding the Percent of a Number
17.3 Finding Percents Given Two Numbers
17.4 Finding Totals Equal To 100%
17.5 Using Percents
Unit 18 Percent Change
18.1 Finding Percent Change
18.2 Finding Final Amounts Given Percent Change
18.3 Finding Percent Change and Final Amounts
18.4 Using Percents and Percent Change
Unit 19 Integer Representation, Addition, and Subtraction
19.1 Identifying Integers from Number Line Models
19.2 Creating Number Line Models for Integers
19.3 Adding and Subtracting a Positive Integer using Number Line Models
19.4 Adding and Subtracting a Negative Integer using Number Line Models
19.5 Adding and Subtracting Integers using Number Line Models
19.6 Adding and Subtracting Integers using the Solver
Unit 20 Integer Multiplication and Division
20.1 Multiplying Integers using the Solver
20.2 Dividing Integers using the Solver
20.3 Multiplying and Dividing Integers using the Solver
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Cognitive Tutor ® Bridge to Algebra Software Table of Contents
Unit 21 Exponents
21.1 Writing Numbers as Positive Powers of Ten
21.2 Writing Numbers as Positive Powers of Bases Other than Ten
21.3 Writing Numbers as Negative Powers of Ten
21.4 Writing Numbers as Negative Powers of Bases Other than Ten
21.5 Writing Numbers as Powers of Bases
Unit 22 Scientific Notation
22.1 Writing Numbers in Scientific Notation with Whole Numbers and Positive
Exponents
22.2 Writing Numbers in Scientific Notation with Decimals and Positive Exponents
22.3 Writing Numbers in Scientific Notation with Whole Numbers and Negative
Exponents
22.4 Writing Numbers in Scientific Notation with Decimals and Negative Exponents
22.5 Writing Numbers in Scientific Notation
22.6 Comparing Numbers Written in Scientific Notation
Unit 23 Picture Algebra and Equations
23.1 Reviewing Picture Algebra
23.2 Using Picture Algebra with Multiplication, Total Given
23.3 Using Picture Algebra with Addition and Subtraction, Total Given
23.4 Writing Multiplication Equations
23.5 Writing Addition Equations
23.6 Writing Subtraction Equations
23.7 Writing Equations
Unit 24 Patterns and Expressions
24.1 Modeling with Multiplication
24.2 Modeling with Addition and Subtraction
24.3 Modeling with Operations
Unit 25 Order of Operations
25.1 Simplifying Expressions (No Type In)
25.2 Simplifying Expressions (Type In)
Unit 26 Patterns and One-Step Equations
26.1 Modeling with Multiplication
26.2 Modeling with Addition and Subtraction
26.3 Modeling with Operations
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Cognitive Tutor ® Bridge to Algebra Software Table of Contents
Unit 27 One-Step Equations
27.1 Solving with Addition and Subtraction (No Type In)
27.2 Solving with Addition and Subtraction (Type In)
27.3 Solving with Multiplication and Division (No Type In)
27.4 Solving with Multiplication and Division (Type In)
27.5 Solving with Negative One (No Type In)
27.6 Solving with Negative One (Type In)
27.7 Solving One-Step Equations
Unit 28 Patterns and Two-Step Equations
28.1 Modeling Two-Step Equations
Unit 29 Expression Evaluation
29.1 Evaluating Expressions with One Operation
29.2 Evaluating Expressions with Two Operations
Unit 30 Two-Step Equations
30.1 Solving with Multiplication (No Type In)
30.2 Solving with Multiplication (Type In)
30.3 Solving with Division (No Type In)
30.4 Solving with Division (Type In)
30.5 Two-Step Equations
Unit 31 Problem Solving with Two-Step Equations
31.1 Solving Problems with Two-Step Equations
31.2 Solving Problems with More Difficult Two-Step Equations
31.3 Solving Problems with Decimal and Fraction Equations
Unit 32 First Quadrant Graphs
32.1 Graphing using Point Plotting
Unit 33 Angles and Angle Pairs
33.1 Measuring Angles
33.2 Classifying Angles
33.3 Classifying Angle Pairs
33.4 Finding Measures of Angles Formed with Parallel Lines
33.5 Finding Measures of Angles in a Triangle
Unit 34 Triangles, Quadrilaterals, and Polygons
34.1 Classifying Triangles
34.2 Classifying Quadrilaterals
34.3 Classifying Polygons
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Cognitive Tutor ® Bridge to Algebra Software Table of Contents
Unit 35 Squares and Square Roots
35.1 Finding Perfect Squares and Square Roots
35.2 Approximating Square Roots
Unit 36 Perimeter and Area
36.1 Finding Perimeter and Area of Squares and Rectangles
36.2 Finding Perimeter and Area of Parallelograms
36.3 Finding Perimeter and Area of Triangles
36.4 Finding Perimeter and Area of Trapezoids
36.5 Finding Circumference and Area of Circles
36.6 Finding Area of Composite Figures
Unit 37 Pythagorean Theorem
37.1 Finding the Length of the Hypotenuse of a Right Triangle
37.2 Finding the Length of a Leg of a Right Triangle
37.3 Using the Pythagorean Theorem
Unit 38 Distance, Midpoint, and Slope
38.1 Finding Distances using the Pythagorean Theorem
38.2 Finding Distances using the Distance Formula
38.3 Finding Midpoints
38.4 Finding Slopes
38.5 Finding Distances and Midpoints
Unit 39 Probability
39.1 Finding Simple Probabilities
39.2 Finding Disjoint Probabilities
39.3 Finding Theoretical and Experimental Probabilities
39.4 Finding the Sample Space for Independent Events
39.5 Finding the Sample Space for Dependent Events
39.6 Finding the Sample Space for Independent and Dependent Events
39.7 Finding Compound Probabilities
Unit 40 Measures of Central Tendency
40.1 Finding Mean, Median, Mode, and Range
40.2 Determining Appropriate Measures
40.3 Measuring the Effects of Changing Data Sets
40.4 Finding a Data Value Given a Mean
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Cognitive Tutor ® Bridge to Algebra Software Table of Contents
Unit 41 Volume and Surface Area
41.1 Finding Volume of Prisms
41.2 Finding Surface Area of Prisms
41.3 Finding Volume of Cylinders
41.4 Finding Surface Area of Cylinders
41.5 Finding Volume of Pyramids
41.6 Finding Volume of Cones
41.7 Finding Volume of Spheres
41.8 Finding Surface Area of Spheres
Unit 42 Linear Functions
42.1 Graphing using slope and y-intercept with Integers
42.2 Graphing using slope and y-intercept with Decimals
Unit 43 Rational and Irrational Numbers
43.1 Creating Number Line Models
43.2 Ordering Rational and Irrational Numbers
Unit 44 Operations with Rational Numbers
44.1 Performing Operations with Fractions
44.2 Performing Operations with Decimals
44.3 Simplifying Expressions with Powers
44.4 Simplifying Expressions Using the Distributive Property
Unit 45 Geometric Transformations
45.1 Performing One Transformation
45.2 Performing Two Transformations
45.3 Performing Three Transformations
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