Fundamentals of Algebra

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1: Integers

1.1: Integers and Absolute Value

 Comparing and Ordering Integers

1.2: Compare and Order Integers

 Comparing and Ordering Integers

1.3: Add Integers

 Adding and Subtracting Integers with Chips

1.4: Subtract Integers

 Adding and Subtracting Integers with Chips

1.10: Order of Operations

 Order of Operations

1.11: The Coordinate Plane

 City Tour (Coordinates)
 Points in the Coordinate Plane - Activity A

2: Expressions and Equations

2.1: Mathematical Expressions

 Using Algebraic Expressions

2.3: Equations

 Using Algebraic Equations

2.4: Solve Addition Equations

 Modeling One-Step Equations - Activity A

2.5: Solve Subtraction Equations

 Modeling One-Step Equations - Activity A

2.6: Solve Multiplication Equations

 Modeling One-Step Equations - Activity A

2.7: Solve Division Equations

 Modeling One-Step Equations - Activity A

2.8: Solve Two-Step Equations

 Modeling and Solving Two-Step Equations
 Solving Two-Step Equations

3: Inequalities

3.2: Graph Inequalities on a Number Line

 Compound Inequalities

3.4: Solve Inequalities Using Addition and Subtraction

 Solving Linear Inequalities using Addition and Subtraction

3.5: Solve Inequalities Using Multiplication

 Solving Linear Inequalities using Multiplication and Division

3.6: Solve Inequalities Using Division

 Solving Linear Inequalities using Multiplication and Division

4: Rational Numbers: Decimals

4.2: Equivalent Rational Numbers

 City Tour (Coordinates)
 Percents, Fractions, and Decimals

4.3: Compare and Order Decimals

 Comparing and Ordering Decimals

4.5: Add and Subtract Decimals

 Adding Decimals (Base-10 Blocks)
 Subtracting Decimals (Base-10 Blocks)

4.6: Multiply Decimals

 Modeling Decimals (Area and Grid Models)

4.12: Addition and Subtraction Equations with Decimals

 Solving Equations with Decimals

5: Rational Numbers: Fractions

5.1: Prime Factorization

 Factor Trees (Factoring Numbers)

5.5: Compare and Order Rational Numbers

 Comparing and Ordering Rational Numbers

5.6: Add and Subtract Fractions

 Fractions with Unlike Denominators

5.8: Multiply Fractions

 Multiplying Fractions

5.9: Multiply Mixed Numbers

 Multiplying Mixed Numbers

5.10: Divide Fractions

 Dividing Fractions

5.11: Divide Mixed Numbers

 Dividing Mixed Numbers

6: Ratio and Proportion

6.1: Ratio

 Part-to-part and Part-to-whole Ratios

6.3: Write and Solve Proportions

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Proportions and Common Multipliers

6.4: Direct Proportions

 Beam to Moon (Ratios and Proportions)
 Direct Variation

6.9: Inverse Proportion

 Direct and Inverse Variation

7: Percent and Consumer Applications

7.1: Percents

 Percents and Proportions

7.2: Fractions, Decimals, Percents

 Percents, Fractions, and Decimals

7.3: Percents Greater Than 100%/Less Than 1%

 Ordering Percents, Fractions, and Decimals Greater Than 1

7.4: Finding a Percentage of a Number

 Percents and Proportions

7.5: Find a Percent

 Percents and Proportions

7.8: Percent Increase

 Percent of Change

7.9: Percent Decrease

 Percent of Change

7.10: Sales Tax and Tips

 Percent of Change

7.11: Discount and Markup

 Percent of Change

7.12: Commission

 Percent of Change

7.13: Simple Interest

 Percent of Change
 Simple and Compound Interest

7.14: Compound Interest

 Simple and Compound Interest

8: Data Analysis and Statistics

8.1: Samples and Surveys

 Mascot Election (Pictographs and Bar Graphs)
 Polling: Neighborhood
 Populations and Samples

8.2: Measures of Central Tendency and Range

 Constructing Box-and-Whisker Plots
 Describing Data Using Statistics
 Mean, Median and Mode
 Reaction Time 2 (Graphs and Statistics)

8.4: Choose an Appropriate Graph

 Graphing Skills

8.6: Histograms

 Exploring Data Using Histograms

8.7: Stem-and-Leaf Plots

 Stem-and-Leaf Plots

8.8: Box-and-Whisker Plots

 Box-and-Whisker Plots

8.11: Scatter Plots

 Scatter Plots - Activity A

8.13: Create Graphs

 Graphing Skills

9: Two-Dimensional Geometry

9.1: Points, Lines, and Planes

 Investigating Parallel Lines and Planes

9.3: Angle Pairs

 Investigating Angle Theorems - Activity A

9.5: Congruent Angles and Line Segments

 Constructing Congruent Segments and Angles

9.6: Line Constructions

 Construct Parallel and Perpendicular Lines

9.13: Make a Circle Graph

 Mascot Election (Pictographs and Bar Graphs)

10: Two-Dimensional Geometry and Measurement Applications

10.2: Perimeter

 Rectangle: Perimeter and Area

10.3: Squares and Square Roots

 Square Roots

10.5: Pythagorean Theorem

 Geoboard: The Pythagorean Theorem

10.6: Area of Parallelograms

 Area of Parallelograms - Activity B

10.7: Area of Triangles and Trapezoids

 Area of Parallelograms - Activity B

10.8: Circumference and Area of a Circle

 Circles: Circumference and Area

10.10: Symmetry

 Holiday Snowflake Designer
 Quilting Bee (Symmetry)

10.12: Relate Perimeter and Area

 Maximize Area
 Minimize Perimeter
 Perimeters and Areas of Similar Figures

11: Three-Dimensional Geometry

11.3: Surface Area of Prisms

 Surface and Lateral Area of Prisms and Cylinders

11.4: Surface Area of Pyramids

 Surface and Lateral Area of Pyramids and Cones

11.5: Surface Area of Cylinders and Cones

 Surface and Lateral Area of Prisms and Cylinders
 Surface and Lateral Area of Pyramids and Cones

11.7: Volume of Prisms

 Prisms and Cylinders - Activity B

11.8: Volume of Pyramids

 Pyramids and Cones - Activity A

11.9: Volume of Cylinders and Cones

 Prisms and Cylinders - Activity B
 Pyramids and Cones - Activity A

12: Probability

12.3: Theoretical Probability

 Theoretical and Experimental Probability

12.4: Experimental Probability

 Probability Simulations
 Theoretical and Experimental Probability

12.6: Compound Events

 Compound Independent Events
 Compound Independent and Dependent Events

12.7: Permutations

 Permutations

12.8: Combinations

 Permutations and Combinations

13: Patterns, Relations, and Functions

13.4: Relations and Functions

 Introduction to Functions

13.5: Functions

 Introduction to Functions
 Linear Functions
 Points, Lines, and Equations

13.6: Graph Linear Functions

 Direct Variation
 Points, Lines, and Equations

13.7: Slope

 Direct Variation
 Slope - Activity B

13.10: Graph Translations and Reflections

 Reflections
 Rotations, Reflections and Translations

13.11: Graph Rotations

 Rotations, Reflections and Translations

13.12: Graph Dilations

 Dilations

14: Polynomials, Equations, and Inequalities

14.3: Add Polynomials

 Addition of Polynomials - Activity A

Content correlation last revised: 7/9/2012