8th Grade Math
The following learning targets represent the major concepts studied and assessed in this course.
Semester 1
Unit A: Real Numbers
- Identify whether a number is rational or irrational, and approximate on the number line.
- Generate equivalent representations of rational numbers, including converting decimals / repeating fractions.
- Solve and evaluate perfect and non-perfect square and cubed roots of positive numbers.
Unit B: Transformational Geometry
- Describe the effect of transformations of two-dimensional figures using coordinates.
- Verify the properties of similarity or congruence for rotations, reflections, translations, and dilations.
- Describe a sequence of two transformations between two figures.
Unit C: Linear Equations, Inequalities, and Angle Relationships
- Solve multi-step linear equations with variables on one side.
- Solve multi-step linear equations with variables on both sides.
- Solve multi-step linear equations to determine the number of solutions.
- Solve and graph inequalities with variables on one side.
- Find the unknown interior and/or exterior angles of a triangle.
- Use angle relationships to identify and/or find an unknown angle measure when parallel lines are cut by a transversal.
Unit D: Pythagorean Theorem and Angle Relationships
- Use the Pythagorean Theorem and its converse to solve problems.
- Find the unknown side length of two-dimensional and three-dimensional shapes and use it to solve problems.
- Find the distance on the coordinate plane.
Unit E: Linear Relationships and Functions
- Find, interpret, and compare slope as unit rate given different forms: graph, table, and equation.
- Graph proportional relationships and linear relationships.
- Determine and describe the functional relationship between two quantities (including linear / non-linear, increasing / decreasing).
- Interpret and compare slope-intercept form given different forms: graph, table, and equation.
Semester 2
Unit F: Systems of Linear Equations
- Graph systems of linear equations and interpret the solutions.
- Classify through inspection (one solution, no solution, many solutions) and explain (what the solution means) the solution(s) to a system of equations.
- Solve a system of equations algebraically (substitution, not elimination).
Unit G: Statistics and Probability
- Construct and interpret a scatter plot, including its trend line (linear model) and evaluate and identify the line of best fit.
- Construct and interpret a two-way table summarizing data on two categorical variables.
- Use relative frequencies to describe the association between the two variables.
Unit H: Exponents and Scientific Notation
- Apply the properties of integer exponents to generate equivalent expressions.
- Express very large and very small quantities in scientific notation and approximate how many times larger one is than the other.
- Perform operations with numbers expressed in scientific notation.
Unit I: Volume and Surface Area
- Find the surface area of pyramids and use it to solve problems.
- Find the volume of pyramids, cones, and spheres, and use it to solve problems.