Grade 8 — Math

Common Core Aligned

Grade 8 — Math

Grade 8 Mathematics introduces irrational numbers and scientific notation, linear equations and systems, functions, geometric transformations and the Pythagorean Theorem, and statistical modelling with scatter plots — aligned to the Common Core State Standards.

Units & Topics Covered

5 units  ·  30 topics

The Number System

  • Distinguish rational from irrational numbers
  • Approximate irrational numbers on a number line
  • Apply properties of integer exponents
  • Use square roots and cube roots to solve equations
  • Write very large and very small numbers in scientific notation
  • Perform operations with numbers in scientific notation

Equations & Systems

  • Solve linear equations in one variable (one, none, or infinite solutions)
  • Solve pairs of simultaneous linear equations by graphing
  • Solve systems of equations by substitution
  • Solve systems of equations by elimination (linear combination)
  • Apply systems of equations to real-world problems
  • Interpret solutions to systems in context

Functions

  • Understand a function as a rule that assigns exactly one output to each input
  • Use function notation and identify domain and range
  • Compare properties of two functions (table, graph, equation, verbal description)
  • Identify and describe linear vs nonlinear functions
  • Construct a function from a real-world description or table of values
  • Interpret the rate of change (slope) and initial value (y-intercept)

Geometry & Pythagorean Theorem

  • Rigid transformations: translations, reflections, and rotations on a coordinate plane
  • Understand congruence through sequences of rigid transformations
  • Dilations and similarity: understanding scale factor
  • Angles formed by parallel lines cut by a transversal
  • Apply the Pythagorean Theorem to find distances in 2D and 3D
  • Find volume of cylinders, cones, and spheres

Statistics & Bivariate Data

  • Construct and interpret scatter plots for bivariate data
  • Describe patterns: positive/negative association, clustering, outliers
  • Draw a line of best fit and write its equation
  • Interpret slope and y-intercept of a linear model in context
  • Understand the difference between correlation and causation
  • Construct and interpret two-way frequency tables
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