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

Lesson 6.16.1–6.2 · Extra Practice

Start hereWords, worked example, and sentence starters

Name Date Period

Learning target I can divide with fractions and mixed numbers every way this unit teaches — whole ÷ unit fraction, fraction ÷ whole number, fraction ÷ fraction, and mixed numbers — by using Keep, Change, Flip.

Start hereWords for this lesson

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

WordWhat it meansExample
ReciprocalSpanish: Recíproco A fraction turned upside down.
DividendSpanish: Dividendo The number being divided — it comes first in a division expression.
DivisorSpanish: Divisor The number you divide by — the one you flip in Keep, Change, Flip.
QuotientSpanish: Cociente The answer when you divide.
Mixed numberSpanish: Número mixto A whole number and a fraction together, like 2 1/4.
Unit fractionSpanish: Fracción unitaria A fraction with 1 as its numerator, like 1/4.

Say it and write itSentence starters

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

Word bank ReciprocalDividendDivisorQuotientMixed numberUnit fraction

Watch outA common mistake

A common mistake is multiplying by the SECOND fraction as written, instead of its reciprocal. If you forget to flip, you get the wrong operation entirely — always check: did I flip the divisor before multiplying?

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

Lesson 6.16.1–6.2 · Extra Practice

Apply Day · Version ASupported practice

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

Learning target I can divide with fractions and mixed numbers every way this unit teaches — whole ÷ unit fraction, fraction ÷ whole number, fraction ÷ fraction, and mixed numbers — by using Keep, Change, Flip.

Part 1Understand the ideamodels and meaning
  1. 1Circle the letter of the best answer. Show how you know.
    A 3-Foot Dowel Cut Into 1/6-Foot Pieces
    3 feet1 ft1 ft1 ftthe pieces1/61/61/61/61/61/61/61/61/61/61/61/61/61/61/61/61/61/6

    The model shows a 3-foot dowel cut into 1/6-foot pieces. Which expression does the model represent, and how many pieces are there?

    1. A3 × 1/6 = 1/2 of a piece
    2. B3 ÷ 1/6 = 18 pieces
    3. C1/6 ÷ 3 = 1/18 of a piece
    4. D3 ÷ 6 = 1/2 of a piece

    Hint Read the model first: how long is the whole dowel, and how long is each small piece?

    Show your work
  2. 2Circle the letter of the best answer. Show how you know.
    A 5-Foot Cable Marked Into 1/2-Foot Segments
    5 feet1 ft1 ft1 ft1 ft1 ftthe segments1/21/21/21/21/21/21/21/21/21/2

    The model shows a 5-foot cable marked into 1/2-foot segments. Which expression does the model represent, and how many segments are there?

    1. A5 × 1/2 = 2 1/2 segments
    2. B5 ÷ 1/2 = 10 segments
    3. C1/2 ÷ 5 = 1/10 of a segment
    4. D5 ÷ 2 = 2 1/2 segments

    Hint Read the model first: how long is the whole cable, and how long is each small segment?

    Show your work
Part 2Apply itreal-world problems
  1. 3Circle the letter of the best answer. Show how you know.

    A ribbon that is 4 feet long is cut into pieces that are each 1/3 foot long. How many pieces are there?

    1. A4/3 of a piece
    2. B12 pieces
    3. C7/12 of a piece
    4. D1 1/3 pieces

    Hint What is the whole amount, and how big is each piece being cut?

    Show your work
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 6.16.1–6.2 · Extra Practice

Apply Day · Version BCore practice

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

Learning target I can divide with fractions and mixed numbers every way this unit teaches — whole ÷ unit fraction, fraction ÷ whole number, fraction ÷ fraction, and mixed numbers — by using Keep, Change, Flip.

Part 1Understand the ideamodels and meaning
  1. 1Circle the letter of the best answer. Show how you know.
    A 6-Foot Pipe Cut Into 3/4-Foot Sections
    6 feet1 ft1 ft1 ft1 ft1 ft1 ftthe sections3/4 ft3/4 ft3/4 ft3/4 ft3/4 ft3/4 ft3/4 ft3/4 ft

    The model shows a 6-foot pipe cut into 3/4-foot sections. Which expression does the model represent, and how many sections are there?

    1. A6 × 3/4 = 4 1/2 sections
    2. B6 ÷ 3/4 = 8 sections
    3. C3/4 ÷ 6 = 1/8 of a section
    4. D6 ÷ 4 = 1 1/2 sections
    Show your work
  2. 2Circle the letter of the best answer. Show how you know.
    3/4 Yard of Trim Cut Into 1/8-Yard Pieces
    3/4 yard1/41/41/4the pieces1/81/81/81/81/81/8

    The model shows 3/4 yard of trim cut into 1/8-yard pieces. Which expression does the model represent, and how many pieces are there?

    1. A3/4 × 1/8 = 3/32 of a piece
    2. B3/4 ÷ 1/8 = 6 pieces
    3. C1/8 ÷ 3/4 = 1/6 of a piece
    4. D3/4 ÷ 8 = 3/32 of a piece
    Show your work
Part 2Apply itreal-world problems
  1. 3Circle the letter of the best answer. Show how you know.

    A community garden group has 5/6 of a bag of fertilizer left over from last season. They plan to split it evenly across 5 raised garden beds so that every bed gets the same amount before spring planting begins. The lead gardener needs to know what fraction of the WHOLE bag goes into each bed.

    1. A5/6 of the bag
    2. B6/5 of the bag
    3. C1/6 of the bag
    4. D5/11 of the bag
    Rewrite each fraction
    Work it out
    Simplify
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 6.16.1–6.2 · Extra Practice

Apply Day · ChallengeExtension

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

Learning target I can divide with fractions and mixed numbers every way this unit teaches — whole ÷ unit fraction, fraction ÷ whole number, fraction ÷ fraction, and mixed numbers — by using Keep, Change, Flip.

Part 1Understand the ideamodels and meaning
  1. 1Circle the letter of the best answer. Show how you know.
    A 5/6-Mile Trail Marked Into 1/12-Mile Rest Points
    5/6 mile1/61/61/61/61/6the rest points1/121/121/121/121/121/121/121/121/121/12

    The model shows a 5/6-mile trail marked into 1/12-mile rest points. Which expression does the model represent, and how many rest points are there?

    1. A5/6 × 1/12 = 5/72 of a point
    2. B5/6 ÷ 1/12 = 10 points
    3. C1/12 ÷ 5/6 = 1/10 of a point
    4. D5/6 ÷ 12 = 5/72 of a point
    Show your work
Part 2Apply itreal-world problems
  1. 2Circle the letter of the best answer. Show how you know.

    A robotics team is testing a new track design ahead of a regional competition. Their prototype track measures 5 1/4 feet from start to finish, and the competition rulebook requires the whole track to be built out of straight sections that are each exactly 3/4 foot long, with no leftover length allowed anywhere along the course. Before the team can submit their design for inspection, their captain needs to know exactly how many straight sections make up the full length of the track.

    1. A7 sections
    2. B4 sections
    3. C5 1/4 sections
    4. D3 3/4 sections
    Show your work
  2. 3Circle the letter of the best answer. Show how you know.

    A board is 6 3/4 feet long. It is cut into pieces that are each 3/4 foot long, and then EVERY one of those pieces is cut in half again. How many final pieces are there?

    1. A9 pieces
    2. B18 pieces
    3. C4 1/2 pieces
    4. D6 pieces
    Show your work
How did it go? ☐ 4 · I can teach it☐ 3 · I've got it☐ 2 · I need a hint☐ 1 · I need help