Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.1

Lesson 6.96.9 · Part II

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can explain what dividing a whole number by a fraction means — how many pieces fit, or how much is in one whole — find the quotient with a model or by multiplying by the reciprocal, and check it by multiplying.

Start hereWords for this lesson

Read each word before you begin. Say it out loud.

WordWhat it meansExample
Whole NumberSpanish: Número entero A counting number with no fraction or decimal, like 0, 1, 2, 3. 4 is a whole number; as a fraction it is 4/1
FractionSpanish: Fracción A number that shows part of a whole, like 3/4. 1/2 means 1 out of 2 equal parts — like cutting a sandwich in half and taking one piece
ReciprocalSpanish: Recíproco A fraction turned upside down. The reciprocal of 2/3 is 3/2. Flip the fraction to divide: 6 ÷ 2/3 = 6 × 3/2
Keep, Change, FlipSpanish: Mantener, cambiar, invertir A shortcut for dividing fractions: keep the first number, change ÷ to ×, flip the second. It works because dividing by a fraction gives the same answer as multiplying by its reciprocal. 6 ÷ 1/3 → Keep 6, Change ÷ to ×, Flip 1/3 to 3/1 → 6 × 3 = 18
QuotientSpanish: Cociente The answer when you divide. In 4 ÷ 1/2 = 8, the quotient is 8

Say it and write itSentence starters

Finish each sentence out loud with a partner. Then use them in your writing.

Word bank Whole NumberFractionReciprocalKeep, Change, FlipQuotient

Watch outA common mistake

A common mistake in Divide Whole Numbers by Fractions is doing 'Keep, Change' but skipping the 'Flip' — students multiply by the divisor as it is instead of by its reciprocal. For example, for 6 ÷ 3/4, a student might write 6 × 3/4 = 4 1/2 and stop there, but the divisor 3/4 must be flipped to 4/3 first: 6 × 4/3 = 24/3 = 8. Before you submit, check: did I flip the second fraction (the divisor) upside down before multiplying?

Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.1

Lesson 6.96.9 · Part II

Apply Day · Version ASupported practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can explain what dividing a whole number by a fraction means — how many pieces fit, or how much is in one whole — find the quotient with a model or by multiplying by the reciprocal, and check it by multiplying.

  1. 1Complete each step, then write the final answer.

    Find 2 ÷ 1/4.

    Show your work

    Hint Flip 1/4 to get 4. Then multiply 2 × 4.

    Final answer:
  2. 2Complete each step, then write the final answer.

    Find 5 ÷ 1/2.

    Show your work

    Hint Flip 1/2 to get 2. Then multiply 5 × 2.

    Final answer:
  3. 3Complete each step, then write the final answer.

    Find 3 ÷ 1/3.

    Show your work

    Hint Flip 1/3 to get 3. Then multiply 3 × 3.

    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.1

Lesson 6.96.9 · Part II

Apply Day · Version BCore practice

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can explain what dividing a whole number by a fraction means — how many pieces fit, or how much is in one whole — find the quotient with a model or by multiplying by the reciprocal, and check it by multiplying.

Part 1Practice the skillshow every step
  1. 1Complete each step, then write the final answer.

    Find 12 ÷ 4/5.

    Show your work
    Final answer:
  2. 2Complete each step, then write the final answer.

    Find 7 ÷ 1/3.

    Show your work
    Final answer:
Part 2Apply itreal-world problems
  1. 3Complete each step, then write the final answer.

    Leo wants 4 ÷ 1/6. He multiplies 4 × 1/6 and gets 4/6. Find the correct value of 4 ÷ 1/6.

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help
Grade 6 Mathematics · Unit 6: Numerical and Algebraic ExpressionsStandard 6.NOS.1

Lesson 6.96.9 · Part II

Apply Day · ChallengeExtension

Mastery check☐ Exceeds☐ Meets target☐ Needs practice
Name Date Period

Learning target I can explain what dividing a whole number by a fraction means — how many pieces fit, or how much is in one whole — find the quotient with a model or by multiplying by the reciprocal, and check it by multiplying.

Part 1Practice the skillshow every step
  1. 1Complete each step, then write the final answer.

    Find 9 ÷ 3/5.

    Show your work
    Final answer:
Part 2Apply itreal-world problems
  1. 2Circle the letter of the best answer. Show how you know.

    What is the value of 6 ÷ 3/4?

    1. A2
    2. B2/9
    3. C4 1/2
    4. D8
    Show your work
  2. 3Complete each step, then write the final answer.

    Ava says 5 ÷ 1/4 must be less than 5, because dividing always makes numbers smaller. Find 5 ÷ 1/4.

    Show your work
    Final answer:
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help