Algebra 8 Topics
In algebra 8, we learn about linear algebra. Our textbook is shared between algebra 8 and algebra 9, therefore, we will only go through approximately half of the material in our textbook. Below I have listed the topics you will be learning, the learning objectives or goals for each chapter and the state standards that are associated with each topic. A link to a detailed list of all state math standards can be found at the bottom of the page.
Chapter 1: Foundations for Algebra
Standard: Read, write, compare, classify and represent real numbers, and use them to solve problems in various contexts.
Standard: Generate equivalent numerical and algebraic expressions and use algebraic properties to evaluate expressions.
In this chapter you will study
Chapter 2: Equations
Standard: Represent real-world and mathematical situations using equations and inequalities involving linear expressions. Solve equations and inequalities symbolically and graphically. Interpret solutions in the original context.
Standard: Solve problems involving right triangles using the Pythagorean Theorem and its converse.
In this chapter you will study
Chapter 3: Inequalities
Standard: Represent real-world and mathematical situations using equations and inequalities involving linear expressions. Solve equations and inequalities symbolically and graphically. Interpret solutions in the original context.
In this chapter you will study
Chapter 4: Functions
Standard: Understand the concept of function in real-world and mathematical situations, and distinguish between linear and nonlinear functions.
Standard: Recognize linear functions in real-world and mathematical situations; represent linear functions and other functions with tables, verbal descriptions, symbols and graphs; solve problems involving these functions and explain results in the original context.
Standard: Interpret data using scatterplots and approximate lines of best fit. Use lines of best fit to draw conclusions about data.
In this chapter you will study
Chapter 5: Linear Functions
Standard: Understand the concept of function in real-world and mathematical situations, and distinguish between linear and nonlinear functions.
Standard: Recognize linear functions in real-world and mathematical situations; represent linear functions and other functions with tables, verbal descriptions, symbols and graphs; solve problems involving these functions and explain results in the original context.
Standard: Solve problems involving parallel and perpendicular lines on a coordinate system.
In this chapter you will study
Chapter 6: Systems of Equations
Standard: Represent real-world and mathematical situations using equations and inequalities involving linear expressions. Solve equations and inequalities symbolically and graphically. Interpret solutions in the original context.
In this chapter you will study
Chapter 7: Exponents
Standard: Read, write, compare, classify and represent real numbers, and use them to solve problems in various contexts.
In this chapter you will study
Chapter 1: Foundations for Algebra
Standard: Read, write, compare, classify and represent real numbers, and use them to solve problems in various contexts.
Standard: Generate equivalent numerical and algebraic expressions and use algebraic properties to evaluate expressions.
In this chapter you will study
- how to evaluate and simplify expressions.
- properties of real number systems.
- the order of operations.
- patterns formed by points plotted in the coordinate plane.
Chapter 2: Equations
Standard: Represent real-world and mathematical situations using equations and inequalities involving linear expressions. Solve equations and inequalities symbolically and graphically. Interpret solutions in the original context.
Standard: Solve problems involving right triangles using the Pythagorean Theorem and its converse.
In this chapter you will study
- how to use inverse operations to solve equations containing variables.
- writing equations to represent situations.
- simplifying equations before solving.
Chapter 3: Inequalities
Standard: Represent real-world and mathematical situations using equations and inequalities involving linear expressions. Solve equations and inequalities symbolically and graphically. Interpret solutions in the original context.
In this chapter you will study
- the properties of inequality.
- how to solve inequalities by using inverse operations.
- how to solve inequalities with variables on both sides.
- how to solve compound inequalities.
Chapter 4: Functions
Standard: Understand the concept of function in real-world and mathematical situations, and distinguish between linear and nonlinear functions.
Standard: Recognize linear functions in real-world and mathematical situations; represent linear functions and other functions with tables, verbal descriptions, symbols and graphs; solve problems involving these functions and explain results in the original context.
Standard: Interpret data using scatterplots and approximate lines of best fit. Use lines of best fit to draw conclusions about data.
In this chapter you will study
- relationships between variables and determine whether a relation is a function.
- relationships in function notation.
- how trend lines on scatter plots can help you make predictions.
Chapter 5: Linear Functions
Standard: Understand the concept of function in real-world and mathematical situations, and distinguish between linear and nonlinear functions.
Standard: Recognize linear functions in real-world and mathematical situations; represent linear functions and other functions with tables, verbal descriptions, symbols and graphs; solve problems involving these functions and explain results in the original context.
Standard: Solve problems involving parallel and perpendicular lines on a coordinate system.
In this chapter you will study
- writing and graphing linear functions.
- identifying and interpreting components of linear graphs, including x-intercept , y-intercept and slope.
- graphing and analyzing families of functions.
Chapter 6: Systems of Equations
Standard: Represent real-world and mathematical situations using equations and inequalities involving linear expressions. Solve equations and inequalities symbolically and graphically. Interpret solutions in the original context.
In this chapter you will study
- how to find a solution that satisfies two linear equations.
Chapter 7: Exponents
Standard: Read, write, compare, classify and represent real numbers, and use them to solve problems in various contexts.
In this chapter you will study
- properties of exponents.
- powers of 10 and scientific notation.
Algebra 8 Standards
In algebra 8, students learn the standards required by the state. You can click on the link below to view the state standards. Minnesota K-12 Academic Standards in Mathematics (2007)
In algebra 8, students learn the standards required by the state. You can click on the link below to view the state standards. Minnesota K-12 Academic Standards in Mathematics (2007)