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