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College
Prep Algebra One Course Syllabus
Course Name: College Prep Algebra One
I Course Information
Course Number:
3210
Level:
College Prep
Department:
Mathematics
II Course Description
Prerequisite:
Recommendation
Open to:
Freshman, Sophomore, Junior, Senior
Length:
Year
Credit:
1
Summary:
This course focuses on fundamental properties of real numbers, polynomials,
rational algebraic expressions, linear equations, quadratic equations,
inequalities, functions, radical expressions and equations, and exponents.
Elementary probability and statistics are introduced.
III Course Goals
1.
Students will use linear equations and their graphs to model real-life
situations.
2.
Students will learn to write and use linear equations.
3.
Student will solve and graph systems of linear equations and inequalities.
4.
Students will simplify, graph, and solve exponential expressions and equations.
5.
Students will simplify radical expressions and solve and graph quadratic
equations and functions.
6.
Students will identify, compute with, and factor polynomial expressions.
7.
Students will work with expressions that involve polynomials and rational
expressions.
IV Textbooks and Materials
Textbook:
McDougal/Littell, Algebra One – Applications, Equations, and Graphs
Material:
Paper, Pencils, Notebook/Binder, Graphing Calculator (TI – 83, TI – 84, TI – 83
Plus or TI – 84 Plus)
V Course Outline
First Semester – Units of
Instruction and Assessments
Unit
One – Connections to Algebra
1.1
Variables in Algebra
1.2
Exponents and Powers
1.3
Order of Operations
1.4
Equations and Inequalities
1.5
Using Models
1.7
Introduction to Functions
Unit
Two - Properties of Real Numbers
2.1 The
Real Number Line
2.2
Addition of Real
2.3
Subtraction of Real Numbers
2.5
Multiplication of Real Numbers
2.6 The
Distributive Property
2.7
Division of Real Numbers
2.8
Probability and Odds
Unit
Three – Solving Linear Equations
3.1
Solving Equations Using Addition and Subtraction
3.2
Solving Equations Using Multiplication and Division
3.3
Solving Multi-Step Equations
3.4
Solving Equations with Variables on Both
3.6
Solving Decimal Equations
3.7
Formulas and
3.8
Rates, Ratios, and Percents
Unit
Four – Graphing Linear Equations and Functions
4.1
Coordinates and Scatter Plots
4.2
Graphing Linear Equations
4.3
Graphing Using Intercepts
4.4 The
Slope of a Line
4.5
Direct Variation
4.6
Graphing Using Slope-Intercept
4.7
Solving Linear Equations Using Graphs
4.8
Functions and Relations
Unit
Five – Writing Linear Equations
5.1
Writing Linear Equations in Slope-Intercept Form
5.2
Writing Linear Equations Given the Slope and a Point
5.3
Writing Linear Equations Given Two Points
5.4
Fitting a Line to Data
5.5
Point-Slope Form of a Linear
5.6 The
Standard Form of a Linear Equation
5.7
Predicting with Linear Models
Unit
Six – Solving and Graphing Linear Inequalities
6.1
Solving One-Step Linear Inequalities
6.2
Solving Multi-Step Linear Inequalities
6.3
Solving Compound Inequalities
6.4
Solving Absolute-Value Equations and Inequalities
6.5
Graphing Linear Inequalities in Two Variables
6.6
Stem-and-Leaf Plots and Mean, Median, and Mode
6.7
Box-and-Whisker Plots
Major Assessments:
Quizzes:
1.1 – 1.3, 3.1 – 3.3, 4.1 – 4.3, 4.4 – 4.6, 5.1 – 5.3, 6.1 – 6.3
Tests:
Unit 1, Unit 2, Unit 3, Unit 4, Unit 5, Unit 6
Semester One Exam
Misc:
Homework, Binder/Notebook, Bellwork
Second Semester Units of
Instruction and Assessments:
Unit
Seven – Systems of Linear Equations and Inequalities
7.1
Solving Linear Systems by Graphing
7.2
Solving Linear Systems by Substitution
7.3
Solving Linear Systems by Linder Combinations
7.4
Applications of Linear Systems
7.5
Special Types of Linear Systems
7.6
Solving Systems of Linear Inequalities
Unit
Eight – Exponents and Exponential Functions
8.1
Multiplication Properties of Exponents
8.2
Zero and Negative Exponents
8.3
Division Properties of Exponents
8.4
Scientific Notation
8.5
Exponential Growth Functions
8.6
Exponential Decay Functions
Unit
Nine – Quadratic Equations and Functions
9.1
Solving Quadratic Equations by Finding Square Roots
9.2
Simplifying Radicals
9.3
Graphing Quadratic Functions
9.4
Solving Quadratic Equations by Graphing
9.5
Solving Quadratic Equations by the Quadratic Formulas
9.6
Applications of the Discriminant
9.7
Graphing Quadratic Inequalities
Unit
Ten – Polynomials and Factoring
10.1
Adding and Subtracting Polynomials
10.2
Multiplying Polynomials
10.3
Special Products of Polynomials
10.4
Solving Polynomial Equations in Factored Form
10.5
Factoring x2 + bx + c
10.6
Factoring ax2 + bx + c
10.7
Factoring Special Products
10.8
Factoring Using the Distributive Property
Unit
Eleven – Rational Equations and Functions
11.1
Ratio and Proportion11.2
Percents
11.3
Direct and Inverse Variation
11.4
Simplifying Rational Expressions
11.5
Multiplying and Dividing Rational Expressions
11.6
Adding and Subtracting Rational Expressions
11.7
Dividing Polynomials
11.8
Rational Equations and Functions
Unit
Twelve – Radicals and Connections to Geometry
12.1
Functions Involving Square Roots
12.2
Operations with Radical Expressions
12.3
Solving Radical Equations
12.5
The Pythagorean Theorem and Its Converse
Major Assessments:
Quizzes:
TBA
Tests:
Unit 7, Unit 8, Unit 9, Unit 10, Unit 11, Unit 12
Semester Two Exam
Misc:
Homework, Binder/Notebook, Bellwork
(Parents and students: please consult individual teachers for grading policies,
extra credit info, class procedures, etc.)
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