Discovering Algebra: An Investigative Approach

This correlation lists the recommended Gizmos for this textbook. Click any Gizmo title below for more information.

1: Data Exploration

1.1: Bar Graphs and Dot Plots

 Line Plots

1.2: Summarizing Data with Measures of Center

 Describing Data Using Statistics
 Mean, Median and Mode

1.3: Five-Number Summaries and Box Plots

 Constructing Box-and-Whisker Plots

1.4: Histograms and Stem-and-Leaf Plots

 Stem-and-Leaf Plots

1.6: Two-Variable Data

 Distance-Time Graphs
 Scatter Plots - Activity A

2: Proportional Reasoning and Variation

2.1: Proportions

 Beam to Moon (Ratios and Proportions)
 Proportions and Common Multipliers

2.2: Capture-Recapture

 Estimating Population Size

2.4: Direct Variation

 Direct Variation

2.5: Inverse variation

 Direct and Inverse Variation

3: Linear Equations

3.1: Recursive Sequences

 Arithmetic and Geometric Sequences

3.2: Linear Plots

 Linear Functions
 Using Tables, Rules and Graphs

3.3: Time-Distance Relationships

 Distance-Time Graphs

3.4: Linear Equations and the Intercept Form

 Point-Slope Form of a Line - Activity A

3.5: Linear equations and Rate of Change

 Distance-Time and Velocity-Time Graphs

3.6: Solving Equations Using the Balancing Method

 Modeling One-Step Equations - Activity B
 Modeling and Solving Two-Step Equations

4: Fitting a Line to Data

4.1: A formula for Slope

 Slope - Activity A
 Slope - Activity C

4.2: Writing a Linear Equation to Fit Data

 Lines of Best Fit Using Least Squares - Activity A
 Solving Using Trend Lines

4.3: Point-Slope Form of a Linear Equation

 Point-Slope Form of a Line - Activity A

5: Systems of Equations and Inequalities

5.1: Solving Systems of Equations

 Modeling Linear Systems - Activity B
 Solving Linear Systems by Graphing

5.3: Solving Systems of Equations Using Eliminations

 Systems of Linear Equations - Activity A

5.5: Inequalities in One Variable

 Solving Inequalities Using Multiplication and Division
 Solving Linear Inequalities using Addition and Subtraction

5.6: Graphing Inequalities in Two Variables

 Linear Inequalities in Two Variables - Activity A

5.7: Systems of Inequalities

 Systems of Linear Inequalities (Slope-intercept form) - Activity A

6: Exponents and Exponential Models

6.1: Recursive Routines

 Arithmetic and Geometric Sequences
 Drug Dosage
 Dye Elimination

6.3: Multiplication and Exponents

 Exponents and Power Rules
 Multiplying Exponential Expressions

6.5: Looking Back with Exponents

 Dividing Exponential Expressions

6.7: Fitting Exponential Models to Data

 Exponential Growth and Decay - Activity A

6.8: Activity Day: Decreasing Exponential Models and Half-Life


7: Functions

7.1: Secret Codes

 Introduction to Functions

7.2: Functions and Graphs

 Using Tables, Rules and Graphs

7.3: Graphs of Real-World Situations

 Food Chain
 Photosynthesis Lab
 Roller Coaster Physics

7.6: Squares, Squaring, and Parabolas

 Quadratics in Vertex Form - Activity A

8: Transformations

8.1: Translating Points


8.2: Translating Graphs

 Translating and Scaling Functions

8.3: Reflecting Points and Graphs

 Reflections of a Linear Function

8.4: Stretching and Shrinking Graphs

 Translating and Scaling Functions

8.6: Introduction to Rational Functions

 General Form of a Rational Function
 Rational Functions

8.7: Transformations with Matrices


9: Quadratic Models

9.2: Finding the Roots and the Vertex

 Quadratics in Vertex Form - Activity A

9.3: From vertex to General Form

 Quadratics in Polynomial Form - Activity A

9.4: Factored Form

 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c
 Quadratics in Factored Form

9.5: Activity Day: Projectile Motion

 Golf Range!
 Shoot the Monkey!

9.7: The Quadratic Formula

 Roots of a Quadratic

9.8: Cubic Functions

 Cubic Function Activity

10: Probability

10.2: Probability Outcomes and Trials

 Probability Simulations
 Theoretical and Experimental Probability

10.3: Random Outcomes

 Geometric Probability - Activity A

10.4: Counting Techniques

 Permutations and Combinations

10.5: Multiple-Stage Experiments

 Binomial Probabilities
 Compound Independent Events
 Compound Independent and Dependent Events

11: Introduction to Geometry

11.4: The Pythagorean Theorem

 Geoboard: The Pythagorean Theorem
 Pythagorean Theorem - Activity A

11.5: Operations with Roots

 Operations with Radical Expressions
 Simplifying Radicals - Activity A

11.6: A Distance Formula

 Distance Formula - Activity A

11.7: Similar Triangles and Trigonometric Functions

 Similarity in Right Triangles
 Sine and Cosine Ratios - Activity A
 Sine, Cosine and Tangent

11.8: Trigonometry

 Cosine Function
 Sine Function
 Tangent Function
 Unit Circle

Content correlation last revised: 3/30/2009