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Algebra - UCSMP
Chapter 1 – Uses of Variables
1.1
Variables in Sentences
1.2
Sets and Domains
1.3
Operations with Sets
1.4
Variables in Expressions
1.5
Variables in Formulas
1.6
Square Roots and Variables
1.7
Variables and Patterns
1.8
The Pythagorean Theorem
1.9
Variables from Tables
Chapter 2 – Multiplication in Algebra
2.1
Areas, Arrays, and Volumes
2.2
Special Numbers in Multiplication
2.3
Multiplying Algebraic Fractions
2.4
Multiplying Rates
2.5
Products and Powers with Negative Numbers
2.6
Solving ax = b
2.7
Special Numbers in Equations
2.8
Solving ax < b
2.9
Multiplication Counting Principle
2.10 Factorials and Permutations
Chapter 3 – Addition in Algebra
3.1
Models and Properties of Addition
3.2
More Properties of Addition
3.3
The Coordinate Plane
3.4
Two Dimensional Slides
3.5
Solving ax + b = c
3.6
The Distributive Property and Adding Like Terms
3.7
The Distributive Property and Removing Parentheses
3.8
Writing Linear Expressions
3.9
Adding Algebraic Fractions
3.10 Solving ax + b < c
Chapter 4 – Subtraction in Algebra
4.1
Subtraction of Real Numbers
4.2
Models for Subtraction
4.3
Solving Sentences Involving Subtraction
4.4
Spreadsheets
4.5
The Opposite of a Sum or Difference
4.6
Graphing x + y = k and x – y = k
4.7
Sums and Differences in Geometry
4.8
The Triangle Inequality
4.9
Graphing Linear Patterns
Chapter 5 – Linear Sentences
5.1
Horizontal and Vertical Lines
5.2
Using Tables to Compare Linear Expressions
5.3
Solving ax + b = cx + d
5.4
Using Graphs to Compare Linear Expressions
5.5
Using an Automatic Grapher
5.6
Solving ax + b < cx + d
5.7
Equivalent Formulas
5.8
Advanced Solving Technique I: Multiplying Through
5.9
Advanced Solving Technique II: Chunking
Chapter 6 – Division in Algebra
6.1
The Algebraic Definition of Division
6.2
Rates
6.3
Ratios
6.4
Relative Frequency and Probability
6.5
Solving Percent Problems Using Equations
6.6
Probability Without Counting
6.7
Size Changes
6.8
Proportions
6.9
Similar Figures
Chapter 7 – Slopes and Lines
7.1
Rates of Change
7.2
The Slope of a Line
7.3
Properties of Slope
7.4
Slope-Intercept Equations for Lines
7.5
Equations for Lines with a Given Point and Slope
7.6
Equations for Lines Through Two Points
7.7
Fitting a Line to Data
7.8
Equations for All Lines
7.9
Graphing Linear Inequalities
Chapter 8 – Exponents and Powers
8.1
Compound Interest
8.2
Exponential Growth
8.3
Comparing Constant Increase and Exponential Growth
8.4
Exponential Decay
8.5
Products and Powers of Powers
8.6
Negative Exponents
8.7
Quotients of Powers
8.8
Powers of Products and Quotients
8.9
Remembering Properties of Exponents and Powers
Chapter 9 – Quadratic Equations and Square Roots
9.1
9.2
9.3
9.4
9.5
9.6
9.7
9.8
9.9
Graphing y = ax2
Graphing y = ax2 + bx + c
Graphing Parabolas with an Automatic Grapher
Quadratic Equations and Projectiles
The Quadratic Formula
Analyzing Solutions to Quadratic Equations
Square Roots and Products
Absolute Value, Distance, and Square Roots
Distances in the Plane
Chapter 10 – Polynomials
10.1 What Are Polynomials?
10.2 Investments and Polynomials
10.3 Multiplying a Polynomial by a Monomial
10.4 Multiplying Polynomials
10.5 Multiplying Binomials
10.6 Special Binomial Products
10.7 The Chi-Square Statistic
Chapter 11 – Linear Systems
11.1 An Introduction to Systems
11.2 Solving Systems Using Substitution
11.3 More Uses of Substitution
11.4 Solving Systems by Addition
11.5 Solving Systems by Multiplication
11.6 Systems and Parallel Lines
11.7 Situations Which Always or Never Happen
11.8 Systems of Inequalities
Chapter 12 – Factoring
12.1
12.2
12.3
12.4
12.5
12.6
12.7
12.8
Factoring Integers into Primes
Common Monomial Factoring
Factoring x2 + bx + c
Solving Some Quadratic Equations by Factoring
Factoring ax2 + bx + c
How Was the Quadratic Formula Found?
Rational Numbers and Irrational Numbers
Which Quadratic Expressions Are Factorable?
Chapter 13 – Functions
13.1 What Is a Function?
13.2 Function Notation
13.3 Absolute Value Functions
13.4 Domain and Range
13.5 Probability Functions
13.6 Polynomial Functions
13.7 The Tangent Function
13.8 Functions on Calculators and Computers