Online College Courses for Credit


Mathematics Grade 8

Common Core Standards

Mathematics: Grade 8

In Grade 8, instructional time should focus on three critical areas: (1) formulating and reasoning about expressions and equations, including modeling an association in bivariate data with a linear equation, and solving linear equations and systems of linear equations; (2) grasping the concept of a function and using functions to describe quantitative relationships; (3) analyzing two- and three-dimensional space and figures using distance, angle, similarity, and congruence, and understanding and applying the Pythagorean Theorem.
Sophia and Common Core Standards
Our Many Ways to Learn method makes it easy to integrate the new standards into your teaching. By using multiple instructors and teaching styles for each tutorial, we make sure you're reaching your students, so they can reach their goals.
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8.EE - Expressions and Equations

Understand the connections between proportional relationships, lines, and linear equations.
Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.
Analyze and solve linear equations and pairs of simultaneous linear equations.

8.F - Functions

Define, evaluate, and compare functions.
Use functions to model relationships between quantities.
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

8.G - Geometry

Understand congruence and similarity using physical models, trans- parencies, or geometry software.
Describe the effect of dilations, translations, rotations, and reflections on two-dimensional figures using coordinates.
Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.