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CCSSmiddle school

Middle School Pre-Algebra

Build the skills you need before algebra: work with integers, fractions, and decimals, then move into expressions, equations, ratios, geometry basics, and introductory statistics. Designed for grades 6-8 with shorter sessions and a supportive pace.

4units
6topics
85questions
~2hours

Course Units

Learning objectives

  • Evaluate algebraic expressions by substituting values for variables
  • Apply the order of operations (PEMDAS) correctly to simplify expressions
  • Translate verbal phrases into algebraic expressions and vice versa
  • Identify coefficients, constants, and variables within algebraic expressions
  • Combine like terms and use the distributive property to simplify algebraic expressions

Topics in this unit

Learning objectives

  • Solve one-step and two-step linear equations using inverse operations
  • Verify solutions by substituting back into the original equation
  • Graph solutions of simple inequalities on a number line
  • Write and solve equations to represent real-world situations
  • Explain why dividing or multiplying both sides of an inequality by a negative number reverses the inequality sign

Topics in this unit

Learning objectives

  • Compute unit rates and use them to solve real-world problems
  • Determine whether two quantities are in a proportional relationship using tables, graphs, and equations
  • Solve proportional reasoning problems using cross-multiplication and equivalent ratios
  • Represent proportional relationships as equations in the form y = kx
  • Apply proportional reasoning to solve percent problems including discounts, tax, tips, and percent change

Topics in this unit

Learning objectives

  • Calculate and interpret measures of central tendency including mean, median, and mode
  • Describe the spread of a data set using range, interquartile range, and mean absolute deviation
  • Construct and interpret data displays including histograms, box plots, and dot plots
  • Use random sampling to draw inferences about a population
  • Explain how outliers affect measures of center and spread and choose the most appropriate summary statistic for a skewed distribution