Discovering Advanced Algebra: An Investigative Approach

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

1: Patterns and Recursion

1.1: Recursively Defined Sequences

Arithmetic Sequences
Geometric Sequences

1.2: Modeling Growth and Decay

Disease Spread
Drug Dosage
Dye Elimination
Exponential Growth and Decay - Activity A
Virus Life Cycle (Lytic)

1.5: Loans and Investments

Simple and Compound Interest

2: Describing Data

2.1: Measures of Central Tendency and Box Plots

Constructing Box-and-Whisker Plots
Mean, Median and Mode

2.3: Histograms and Percentile Ranks


3: Linear Models and Systems

3.1: Linear Equations and Arithmetic sequences

Arithmetic Sequences

3.3: Fitting a Line to Data

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

3.6: Linear Systems

Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing

3.7: Substitution and Elimination

Systems of Linear Equations - Activity A

4: Functions, Relations, and Transformations

4.2: Function Notation

Introduction to Functions

4.3: Lines in Motion

Slope-Intercept Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity B
Translating and Scaling Functions

4.4: Translations and the Quadratic Family

Quadratics in Vertex Form - Activity A
Translating and Scaling Functions

4.5: Reflections and the Square Root Family

Functions Involving Square Roots
Reflections of a Linear Function
Translating and Scaling Functions

4.6: Stretches and Shrinks and the Absolute-Value Family

Absolute Value with Linear Functions - Activity B
Quadratic and Absolute Value Functions

4.7: Transformations and the Circle Family

Ellipse - Activity A

5: Exponential, Power, and Logarithmic Functions

5.1: Exponential Functions

Exponential Functions - Activity B

5.2: Properties of Exponents and Power Functions

Exponents and Power Rules

5.4: Applications of Exponential and Power Equations

Dye Elimination
Simple and Compound Interest

5.6: Logarithmic Functions

Logarithmic Functions - Activity A

5.7: Properties of Logarithms

Logarithmic Functions: Translating and Scaling

6: Matrices and Linear Systems

6.5: Systems of Linear Inequalities

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

6.6: Linear Programming

Linear Programming - Activity A

7: Quadratic and Other Polynomial Functions

7.2: Equivalent Quadratic Forms

Polynomials and Linear Factors
Quadratics in Factored Form

7.3: Completing the Square

Modeling the Factorization of ax2+bx+c
Modeling the Factorization of x2+bx+c

7.4: The Quadratic Formula

Roots of a Quadratic

7.5: Complex Numbers

Points in the Complex Plane - Activity A

7.7: Higher-Degree Polynomials

Fourth-Degree Polynomials - Activity A

7.8: More About Finding Solutions

Dividing Polynomials Using Synthetic Division

8: Parametric Equations and Trigonometry

8.3: Right Triangle Trigonometry

Sine and Cosine Ratios - Activity B
Sine, Cosine and Tangent
Tangent Ratio

8.5: Projectile Motion

Golf Range!
Shoot the Monkey!

9: Conic Sections and Rational Functions

9.2: Circles and Ellipses

Ellipse - Activity A

9.3: Parabolas

Parabolas - Activity B

9.4: Hyperbolas

Hyperbola - Activity A

9.7: Graphs of Rational Functions

General Form of a Rational Function
Rational Functions

10: Trigonometric Functions

10.1: Defining the Circular Functions

Unit Circle

10.3: Graphing Trigonometric Functions

Cosine Function
Sine Function
Tangent Function

10.6: Fundamental Trigonometric Identities

Simplifying Trigonometric Expressions
Sum and Difference Identities for Sine and Cosine

12: Probability

12.1: Randomness and Probability

Probability Simulations
Theoretical and Experimental Probability

12.2: Counting Outcomes and Tree Diagrams

Compound Independent Events
Compound Independent and Dependent Events

12.5: Permutations and Probability


12.6: Combinations and Probability

Binomial Probabilities
Permutations and Combinations

13: Applications of Statistics

13.1: Probability Distributions

Populations and Samples

13.5: Bivariate Data and Correlation

Lines of Best Fit Using Least Squares - Activity A

Content correlation last revised: 3/30/2009