Grade 6 Mathematics · Unit 3: Ratios & RatesStandard 6.AT.1

Lesson 3.1Ratios with Tape Diagrams

Apply Day · Set BSecond form · new problems, same idea

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
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Learning target I can write and describe a ratio that compares two quantities.

Remember3.1 · Part II

Understanding Ratios

  1. A ratio compares two quantities; order of quantities matters
  2. Part-to-Part compares two distinct subgroups (e.g. boys to girls)
  3. Part-to-Whole compares one subgroup to the total (e.g. boys to class)

Words: Ratio (Razón)Comparison (Comparación)Part-to-part (Parte a parte)Part-to-whole (Parte a todo)Colon notation (Notación con dos puntos)

  1. 1Complete each step, then write the final answer.
    Green marbles8Red marbles3

    A bag has 3 red marbles and 8 green marbles. The ratio of green marbles to red marbles is ? : 3. What is the missing number?

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.
    Apple juice (cups)4Sparkling water (cups)3Total drink (cups)?

    Chef Reyes mixes 4 cups of apple juice with 3 cups of sparkling water. The ratio of apple juice to the whole drink is 4 to ?. What is the missing number?

    Show your work
    Final answer:
  3. 3Complete each step, then write the final answer.
    Apple juice (cups)321Water (cups)2?Drink (cups)??× ?× ?

    Chef Reyes uses 3 cups of apple juice for every 2 cups of sparkling water. She used 21 cups of apple juice. How many cups of fruit drink did she make?

    Show your work
    Final answer:
  4. 4Complete each step, then write the final answer.
    Games lost?Games won8Total games11

    A soccer team played 11 games. It won 8 games and lost the rest. The ratio of games lost to games won is ? : 8. What is the missing number?

    Show your work
    Final answer:
  5. 5Complete each step, then write the final answer.
    Club A ($)3?Club B ($)4?Total ($)?56× ?× ?

    Ms. Lee splits $56 between two clubs in a ratio of 3:4. How much money does the larger share get?

    Show your work
    Final answer:
  6. 6Complete each step, then write the final answer.
    Girls3?Boys4?More boys?6Members??× ?× ?

    In a club, the ratio of girls to boys is 3:4. There are 6 more boys than girls. How many members are in the club?

    Show your work
    Final answer:
  7. 7Circle the letter of the best answer. Show how you know.

    A recipe uses 4 cups of milk and 1 cup of cream. What is the ratio of milk to cream?

    1. A1:4
    2. B4:1
    3. C4:5
    4. D5:1
    Show your work
  8. 8Circle the letter of the best answer. Show how you know.

    Chef Reyes uses 6 strawberries and 2 bananas in a smoothie. What is the part-to-whole ratio of bananas to total fruit?

    1. A2:8
    2. B2:6
    3. C6:2
    4. D8:2
    Show your work
  9. 9Circle the letter of the best answer. Show how you know.

    In a class of 30 students, 18 are girls. What is the part-to-part ratio of boys to girls?

    1. A12:18
    2. B12:30
    3. C18:12
    4. D18:30
    Show your work
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