➕ 6th Grade Math · Unit 2

Introducing Ratios

10 short narrated lessons in 2 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 6.RP.A.1 6.RP.A.3

6th Grade Math · 8 units
  1. 1Area and Surface Area
  2. 2Introducing Ratios
  3. 3Unit Rates and Percentages
  4. 4Dividing Fractions
  5. 5Working with Decimals and Whole Numbers
  6. 6Expressions and Equations
  7. 7Rational Numbers
  8. 8Statistics
Picture from the lesson “Ratio Language: 'For Every' and 'To'”
Ratio Language: 'For Every' and 'To'
Picture from the lesson “Part-to-Part and Part-to-Whole Ratios”
Part-to-Part and Part-to-Whole Ratios
Picture from the lesson “Equivalent Ratios”
Equivalent Ratios

What your child will learn

What are ratios?

  1. Ratio Language: 'For Every' and 'To'Describe a ratio between two quantities using words like for every and to, as in three cups of flour for every two cups of milk.
  2. Part-to-Part and Part-to-Whole RatiosTell apart a ratio that compares two parts from a ratio that compares a part to the whole.
  3. Equivalent RatiosMake equivalent ratios by multiplying or dividing both quantities by the same number, like doubling a recipe.
  4. What Are Ratios? Review ReviewReview ratio language and equivalent ratios.

Ratio tables and diagrams

  1. Double Number LinesUse a double number line to find equivalent ratios and missing values.
  2. Ratio TablesFill in a ratio table by adding, multiplying or dividing rows to solve a problem.
  3. Tape Diagrams for RatiosSolve a ratio problem where the total is known, like sharing money in a two to three ratio, using a tape diagram.
  4. Comparing RatiosDecide which of two mixtures has a stronger taste by comparing equivalent ratios.
  5. Ratio Tables and Diagrams Review ReviewReview ratio tables, double number lines and tape diagrams.
  6. Unit 2 test: Introducing RatiosShow what you learned in the whole unit (What are ratios?, Ratio tables and diagrams) by answering mixed questions.

Try a question from this unit

From the lesson “Ratio Language: 'For Every' and 'To'”

A mosaic of eleven square tiles in two rows: seven orange and four yellow, with a key for orange and yellow.

The diagram shows the tiles in a small mosaic. What is the ratio of yellow tiles to orange tiles?

  • 7 to 4
  • 4 to 11
  • 4 to 7
  • 11 to 4
Show the answer

4 to 7. There are 4 yellow tiles and 7 orange tiles, and yellow is named first, so the ratio is 4 to 7. The answer 7 to 4 has the right numbers in the reverse order, which would be orange to yellow.

Hint kids see after a wrong try: “Count each color. Then check which color the question names first.”

Key words

  • ratio
  • for every
  • part-to-part
  • part-to-whole
  • equivalent ratios
  • double number line
  • ratio table
  • tape diagram
  • compare
← Area and Surface Area All 6th Grade Math units Unit Rates and Percentages →

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Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.

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