UCSMP Algebra

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1: Using Algebra to Describe

1.2: Describing Patterns

 Arithmetic Sequences
 Arithmetic and Geometric Sequences
 Finding Patterns
 Geometric Sequences

1.6: Absolute Value and Distance

 Comparing and Ordering Integers
 Real Number Line - Activity A

2: Using Algebra to Explain

2.4: Opposites

 Comparing and Ordering Integers
 Real Number Line - Activity A

3: Linear Equations and Inequalities

3.1: Graphing Linear Patterns

 Linear Functions
 Using Tables, Rules and Graphs

3.3: Solving Equations by Creating Equivalent Equations

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

3.4: Solving ax + b = c

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

3.6: Inequalities and Multiplication

 Solving Linear Inequalities using Multiplication and Division

3.7: Solving ax + b < c

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

4: More Linear Equations and Inequalities

4.3: Using Tables and Graphs to Solve

 Solving Equations By Graphing Each Side

4.4: Solving ax + b = cx + d

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

4.5: Solving ax + b < cx + d

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

4.8: Compound Inequalities - AND and Or

 Compound Inequalities

4.9: Solving Absolute Value Equations and Inequalities

 Inequalities Involving Absolute Values
 Solving Linear Inequalities using Addition and Subtraction
 Solving Linear Inequalities using Multiplication and Division

5: Division and Proportions in Algebra

5.2: Division of Algebraic Fractions

 Dividing Exponential Expressions

5.3: Rates

 Distance-Time and Velocity-Time Graphs

5.4: Multiplying and Dividing Rates

 Dividing Fractions
 Dividing Mixed Numbers
 Multiplying Fractions
 Multiplying Mixed Numbers

5.5: Ratios

 Estimating Population Size
 Part:Part and Part:Whole Ratios
 Polling: Neighborhood
 Proportions and Common Multipliers

5.6: Probability Distributions

 Binomial Probabilities

5.9: Proportions

 Beam to Moon (Ratios and Proportions)
 Estimating Population Size
 Perimeters and Areas of Similar Figures
 Polling: Neighborhood
 Similar Figures - Activity A
 Similar Polygons

5.10: Similar Figures

 Perimeters and Areas of Similar Figures
 Similar Figures - Activity A
 Similar Polygons

6: Slopes and Lines

6.1: Rate of Change

 Direct Variation
 Direct and Inverse Variation
 Distance-Time Graphs
 Distance-Time and Velocity-Time Graphs

6.2: The Slope of a Line

 Slope - Activity B

6.4: Slope-Intercept Equations for Lines

 Slope-Intercept Form of a Line - Activity A

6.5: Equations for Lines with a Given Point and Slope

 Defining a Line with Two Points
 Point-Slope Form of a Line - Activity A

6.6: Equations for Lines through Two Points

 Defining a Line with Two Points

6.7: Fitting a Line to Data

 Correlation
 Lines of Best Fit Using Least Squares - Activity A

6.8: Standard Form of the Equation of a Line

 Defining a Line with Two Points
 Standard Form of a Line

6.9: Graphing Linear Inequalities

 Linear Inequalities in Two Variables - Activity A

7: Using Algebra to Describe Patterns of Change

7.1: Compound Interest

 Exponential Functions - Activity A
 Simple and Compound Interest

7.2: Exponential Growth

 Exponential Functions - Activity A
 Exponential Growth and Decay - Activity B
 Half-life
 Simple and Compound Interest

7.3: Exponential Decay

 Exponential Functions - Activity A
 Exponential Growth and Decay - Activity B
 Half-life
 Simple and Compound Interest

7.4: Modeling Exponential Growth and Decay

 Exponential Functions - Activity A
 Exponential Growth and Decay - Activity B
 Half-life

7.5: The Language of Functions

 Introduction to Functions
 Linear Functions

7.6: Function Notation

 Introduction to Functions
 Linear Functions

7.7: Comparing Linear Increase and Exponential Growth

 Exponential Functions - Activity A
 Exponential Growth and Decay - Activity B
 Half-life
 Simple and Compound Interest

8: Powers and Roots

8.1: The Multiplication Counting Principle

 Permutations
 Permutations and Combinations

8.2: Products and Powers of Powers

 Exponents and Power Rules

8.3: Quotients of Powers

 Exponents and Power Rules

8.4: Negative Exponents

 Dividing Exponential Expressions

8.5: Powers of Products and Quotients

 Exponents and Power Rules

8.6: Square Roots and Cube Roots

 Square Roots

8.7: Multiplying and Dividing Square Roots

 Simplifying Radicals - Activity A
 Operations with Radicals

8.8: Distance in a Plane

 Distance Formula - Activity A
 Geoboard: The Pythagorean Theorem
 Pythagorean Theorem - Activity A

9: Quadratic Equations and Functions

9.1: The Function with Equation y = ax2

 Quadratics in Polynomial Form - Activity A

9.3: Graphing y = ax2 + bx + c

 Quadratics in Polynomial Form - Activity A

9.5: The Quadratic Formula

 Roots of a Quadratic

9.6: Analyzing Solutions to Quadratic Equations

 Roots of a Quadratic

10: Linear Systems

10.2: Solving Systems Using Substitution

 Systems of Linear Equations - Activity A

10.4: Solving Systems by Addition

 Modeling Linear Systems - Activity A
 Solving Linear Systems by Graphing
 Special Types of Solutions to Linear Systems
 Systems of Linear Equations - Activity A

10.5: Solving Systems by Multiplication

 Modeling Linear Systems - Activity A
 Solving Linear Systems by Graphing
 Special Types of Solutions to Linear Systems
 Systems of Linear Equations - Activity A

10.6: Systems and Parallel Lines

 Special Types of Solutions to Linear Systems

10.9: Systems of Inequalities

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

10.10: Nonlinear Systems

 System of Two Quadratic Inequalities

11: Polynomials

11.3: Multiplying a Polynomial by a Monomial

 Multiplying Exponential Expressions
 Polynomials and Linear Factors

11.4: Common Monomial Factoring

 Factoring Special Products
 Modeling the Factorization of x2+bx+c

11.5: Multiplying Polynomials

 Polynomials and Linear Factors

11.6: Special Binomial Products

 Factoring Special Products
 Polynomials and Linear Factors

11.7: Permutations

 Permutations
 Permutations and Combinations

12: More Work with Quadratics

12.1: Graphing y - k = a(x - h)2

 Quadratics in Factored Form

12.3: The Factored Form of a Quadratic Function

 Quadratics in Factored Form

12.4: Factoring x2 + bx + c

 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

12.5: Factoring ax2 + bx + c

 Factoring Special Products
 Modeling the Factorization of ax2+bx+c
 Modeling the Factorization of x2+bx+c

12.7: Graphs of Polynomial Functions of Higher Degree

 Cubic Function Activity
 Fourth-Degree Polynomials - Activity A

12.8: Factoring and Rational Expressions

 General Form of a Rational Function
 Rational Functions

13: Using Algebra to Prove

13.8: Proofs of the Pythagorean Theorem

 Distance Formula - Activity A
 Geoboard: The Pythagorean Theorem
 Pythagorean Theorem - Activity A
 Pythagorean Theorem - Activity B

Content correlation last revised: 9/15/2008