Algebra I
Colorado State Standard 2: Students use algebraic methods to explore, model, and describe patterns and functions involving numbers, shapes, data, and graphs in problem-solving situations and communicate the reasoning used in solving these problems.
Assignments for each chapter will include:
- Daily assignments
- Weekly CSAP review
- Chapter quizzes and tests
Algebra I will cover these topics.
Chapter 1 – Taking the Plunge into Algebra
This chapter is called “Connections to Algebra.” It covers
Variables
Exponents and powers
Order of Operations
Equations and inequalities
Tables and graphs
An introduction to functions
Chapter 2 - Flying Without a Net
This chapter is called “Properties of Real Numbers.” It covers
Real number lines
Operations with real numbers
Distributive property
Probability and odds
Chapter 3 - Fly Like an Eagle
This chapter is called “Solving Linear Equations. It covers
Solving algebraic equations
Linear equations and problem solving
Formulas and functions
Rates, ratios, and percents
It’s time for a chapter project called “Running a Business.” Students will use the skills they have practiced in the first three chapters to analyze, “create,” and “run” a pretend business.
Chapter 4 - Up, Up and Away
This chapter is called “Graphing Linear Equations.” It covers
Coordinates and scatter plots
Graphing linear equations
Slope of a line
Direct variation
Functions and relations
Chapter 5 - Algebraic Archeology
This chapter is called “Writing Linear Equations.” It covers
Writing linear equations in slope-intercept and point slope form
Finding a line of best fit
Standard form of a linear equation
Predicting with linear models
Chapter 6 - The Sounds of Algebra
This chapter is called “Solving and Graphing Linear Inequalities.” It covers
Solving linear inequalities
Solving absolute value equations and inequalities
Graphing with two variables
Stem-and-leaf plots and mean, median, and mode
Box-and-whisker plots
Chapter project time again! Students will use the skills learned in chapters 4, 5, and 6 to investigate elasticity by exploring the relationship between the length of a rubber band and the weight suspended from it.
Chapter 7 - Building the House of Algebra
This chapter is called “Systems of Linear Equations and Inequalities.” It covers
Solving equations by graphing, substitution, and linear combinations
Applications of linear systems
Special types of linear systems
Solving systems of linear inequalities
Chapter 8 – Shifting into High Gear
This chapter is called “Exponents and Exponential Functions.” It covers
Multiplication and division of exponents
Zero and negative exponents
Scientific notation
Exponential growth and decay functions
Chapter 9 – Hitting It Out of the Park with Algebra
This chapter is called “Quadratic Equations and Functions.” It covers
Finding square roots
Simplifying radicals
Graphing and solving quadratic functions
The “Quadratic Formula Song”
Chapter Project Time!! Students will use the skills learned in chapters 7, 8, and 9 to create a model to analyze a pizza business.
Chapter 10 – Put On Your Detective Hat
This chapter is called “Polynomials and Factoring.” It covers
Operations with polynomials
Factoring
Chapter 11 - Drawn to Scale
This chapter is called “Rational Equations and Functions.” It covers
Ratio and proportion
Percents
Direct and inverse variation
Operations with rational functions
Chapter 12 - Algebraic Amusement Park
This chapter is called “Radicals and Connections to Geometry.” It covers
Operations with radical expressions
Solving radical equations
Completing the square
Pythagorean Theorem
Distance and midpoint
Trigonometric ratios


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