Online Middle School
Grade 8 Pre Algebra
This course is aligned with the Common Core Standards for 8th grade mathematics and focuses on three critical areas.
M/J Pre-Algebra Course Outline
First, the students will learn to formulate expressions and equations, show the association of data with a linear equation, and to solve linear equations. The students will become comfortable using the linear equation, y = mx + b.
They will understand that m represents the rate of change of the two variables. In addition they will understand the graphs are lines through the origin. The students will become comfortable using a linear equation to describe the relationship between two values in bivariate data. They will also be able to solve problems with one linear equation and systems with two linear equations
Second, the students will learn to understand functions and to use a function to describe quantitative relationships. They will understand that functions help to describe situations where one quantity is dependent on another. Third, the students will learn to assess two- and three-dimensional shapes using distance, angle, and similarity using ideas about distance and angles and how they behave.
The students will understand the Pythagorean Theorem and be able to explain why it is true. They will learn to use the theorem to find distances between points on the coordinate plane, to find lengths, and to analyze triangles. The students will complete their study of volume by learning to solve for the volume of cones, cylinders, and spheres.
Comprehensive Course Outline for Forest Trail Academy's K-12 Programs
Expressions, Equations and Linear Equations
- Formulating expressions and equations
- Solving linear equations
- The linear equation y = mx + b, where m is the rate of change of the two variables
- Graphs of proportional relationships as lines through the origin
- Using a linear equation to describe the relationship between two values in bivariate data
- Solving problems with one linear equation and systems of two linear equations
Functions
- Understanding functions
- Using a function to describe quantitative relationships
- Functions where one quantity depends on another
Geometry: Distance, Angle and Similarity
- Two- and three-dimensional shapes
- Distance, angle and similarity
- The Pythagorean Theorem: why it is true and how to use it
