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PlayOwl

Mathematics · Grade 6

Equations and Inequalities

Learners treat an equation as a balance, test values by substitution, and solve one-step equations of the forms x + p = q and px = q with whole numbers, fractions and decimals. They write equations for real situations and finish with inequalities such as x > c, which have infinitely many solutions shown on a number line.

  • 4 lessons
  • About 90 minutes
  • Equations and inequalities check: 10 questions
  • Ways to answer: fill in the blanks, choose an answer, type a fraction, match pairs, type a number and place on a number line
See plans Included with Family, Teacher and School plans. Open in PlayOwl

What learners will discover

  • Decide whether a given number makes an equation or inequality true by substituting, and choose solutions from a given set.
  • Solve equations of the forms x + p = q and px = q with whole numbers, fractions and decimals using inverse operations, and check the solution.
  • Write equations with a variable to represent real-world problems, explain what the variable stands for, and answer the question in context.
  • Write inequalities of the form x > c, x < c, x ≥ c or x ≤ c for real-world conditions, recognize that they have infinitely many solutions, and show them on number lines.

Lessons

  1. What makes an equation true? 8 steps5 practiceabout 20 min
  2. Solving with inverse operations 9 steps5 practiceabout 24 min
  3. Writing equations for real situations 8 steps5 practiceabout 22 min
  4. Inequalities and their graphs 8 steps5 practiceabout 24 min
  5. Equations and inequalities check 10 questions at the end

Keep exploring

Games to practice with

  • Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
  • Fraction BridgesSaw planks into equal parts, paint fractions, build bridges that match and lay planks end to end to add.
  • Ratio KitchenScale recipes, fill ratio tables and find the better buy.

More 6th grade math

Guide for grown-ups