Download UNIT 1 – Solutions of Linear Sentences in One Variable

Course Outline for Algebra 1A
McDougal Littell – (Larson): Algebra 1: Concepts and Skills
UNIT 1 – Solutions of Linear Sentences in One Variable
Key standards:
CST
: 2,4, 5
CAHSEE
: 2, 3, 4, 5
Periodic Assessment
: 2, 4, 5
UNIT 2 – Solutions and Graphs of Linear Sentences in One and Two Variables
Key standards:
CST
: 2, 3, 4, 5, 6, 7, 15
CAHSEE
: 2, 4, 6, 7, 8, 15
Periodic Assessment : 2, 4, 5, 6, 7, 15
Review - Transitioning from previous mathematics for Algebra 1.
Topic 1, Topic 2, and Topic 3 from CA Standard Key Concept Book.
Concept 1 – Understand and graph linear equations in one and two variables using a
variety of techniques. Standards: 6, 7, 8, 15, 17, 18.
Concept 2 – Understand the connections from arithmetic to algebra. Standards 1,2,4.
Sections:
4.1 The Coordinate Plane
4.2 Graphing Linear Equations
4.3 Graphing Horizontal and Vertical Lines
4.4 Graphing Lines using Intercepts
4.5 The Slope of a Line
4.6 Direct Variation
4.7 Graphing Lines using Slope Intercept Form
4.8 Functions and Relations
6.8 Graphing Linear Inequalities in Two Variables
Sections :
1.1 Variables in Algebra
1.2 Exponents and Powers
1.3 Order of Operations
1.4 Equations and Inequalities
1.5 Translating Words into Mathematical Symbols
2.1
2.2
2.3
2.4
2.5
2.6
2.7
2.8
The Real Number Line
Absolute Value
Adding Real Numbers
Subtracting Real Numbers
Multiplying Real Numbers
The Distributive Property
Combining Like Terms
Dividing Real Numbers
Concept 3 – Understand and solve equations in one variable (including absolute
value). Standards 3, 4, 5.
Sections:
3.1 Solving Equations using Addition & Subtraction
3.2 Solving Equations using Multiplication and Division
3.3 Solving Multi Step Problems
3.4 Solving Equations with Variables on Both Sides
3.5 More on Linear Equations
3.6 Solving Decimal Equations
3.7 Formulas
6.6
Solving Absolute Value Equations
Periodic Assessment Unit #1
Concept 2 – Understand and derive linear equations using a variety of techniques.
Standards: 2, 7, 8.
Sections:
5.1 Slope Intercept Form
5.2 Point-Slope Form
5.3 Writing Linear Equations Given Two Points
5.4 Standards Form
5.5 Modeling with Linear Equations
5.6 Perpendicular Lines
Concept 3 – Understand and solve inequalities in one variable (including absolute
value). Standards: 2, 3, 4, 5.
Sections:
6.1 Solving Inequalities Using Addition and Subtraction
6.2 Solving Inequalities Using Multiplication and Division
6.3 Solving Multi-Step Inequalities
6.4 Solving Compound Inequalities Involving “And”
6.5 Solving Compound Inequalities Involving “Or”
6.7 Solving Absolute-Value Inequalities
Periodic Assessment Unit #2
03/13/2007
Course Outline for Algebra 1B
McDougal Littell – (Larson): Algebra 1: Concepts and Skills
UNIT 3
Solutions and Graphs of System of Linear Sentences in two Variables;
Quadratic Equations and Functions
Key Standards :
CST
: 2, 9, 15, 19, 20, 21, 23
CAHSEE
: 9, 15
Periodic Assessment
: 2, 9, 15, 19, 20, 21, 23
Concept 1 – Solutions and Graphs of System of Linear Sentences in two Variables
 Understand and solve system of linear equations and linear inequalities
graphically and algebraically. Standards 9, 15.
Sections:
7.1 Graphing Linear Systems
7.2 Solving Linear Systems by Substitution
7.3 Solving Linear Systems by Linear Combination
7.4 Linear Systems and Problem Solving
7.5 Special Types of Linear Systems
7.6 Systems of Linear Inequalities
Concept 2 – Quadratic Equations and Functions
 Understand how to solve quadratic equations and how to interpret the graphs
of quadratic functions. Standards 2, 15, 19, 20, 21, 22, 23.
Sections:
8.1 *Multiplication Properties of Exponents
8.2 *Zero & Negative Exponents
8.3 *Graphs of Exponential Functions
8.4 *Division Properties of Exponents
8.5 *Scientific Notation
* Chapter 8 was not included in the Mathematical Instruction Guide
9.1
9.2
9.3
9.4
9.5
9.6
9.7
Square Roots
Solving Quadratic Equations by Finding Square Roots
Simplifying Radicals
Graphing Quadratic Functions
Solving Quadratic Equations by Graphing
Solving Quadratic Equations by the Quadratic Formula
Using the Discriminant
UNIT 4
Quadratic Equations and Operations on Polynomials;
Operations with Rational Expressions and Rational Equations
Key Standards :
CST
: 2, 12, 13, 14, 15
CAHSEE
: 2, 10 ,15
Concept 1 – Quadratic Equations and Operations on Polynomials
 Understand monomials and polynomials and perform operations on them
(including factoring) and apply to solutions of quadratic equations.
Standards 2, 10, 11, 14, 15.
Sections:
10.1 Adding Subtracting Polynomials
10.2 Multiplying Polynomials
10.3 Special Products of Polynomials
10.4 Solving Quadratic Equations in Factored Form
10.5
Factoring x  bx  c
10.6
10.7
10.8
12.5
Factoring ax  bx  c
Factoring Special Products
Factoring Cubic Polynomials
Completing the Square
2
2
California State Testing (CST) Period
Concept 2 – Operations with Rational Expressions and Rational Equations.


Understand the algebra of rational expressions. Standards 10, 12, 13.
Understand and solve rational equations in one variable.
Standards 11, 12, 13, 15,16.
Sections:
11.3 Simplifying Rational Expressions
11.4 Multiplying and Dividing Rational Expressions
11.5 Adding and Subtracting with Like Denominators
11.6 Adding and Subtracting with Unlike Denominators
11.7 Rational Equations
No Periodic Assessment
Periodic Assessment Unit # 3
03/13/2007
03/13/2007