Neft Teacher · Grade 6 Math · HyperDoc

Unit 2 — Dividing Fractions: Fraction Kitchen

CCSS 6.NS.A.1 · Grade 6 Math

Welcome to the Fraction Kitchen! Bakers split dough and share recipes every day. Today you will learn how to divide fractions using the Keep–Flip–Multiply rule. Work through each step in order: Engage → Explore → Explain → Apply → Reflect.

Learning Target

I can divide a fraction by a fraction using Keep–Flip–Multiply.
I can explain what dividing by a fraction means using a real-world model (e.g. servings in a pan).
I can identify the reciprocal of a fraction and explain why it works.

Standard: 6.NS.A.1 Time: ~50 minutes Materials: pencil, scratch paper, this page

Teacher Notes (click to expand) — not for students

Pacing Guide

Engage (5 min) — Students draw or picture the brownie pan; elicit guesses (goal: productive struggle before instruction).
Explore (10 min) — 3D game or resource links; encourage noticing "how many fit?" questions.
Explain (10 min) — Choral read vocabulary; model Keep–Flip–Multiply on the board with two additional examples (whole ÷ fraction and fraction ÷ fraction).
Apply (15 min) — Individual self-check; circulate; debrief Q5 (fraction quotient) whole-class if many students miss it.
Reflect (10 min) — Written response; optional pair-share before export.

Grouping

Engage: individual sketch, then pair. Explore: individual or pair. Apply: individual. Reflect: individual → optional share-out.

Differentiation — Support

Provide fraction bars or a visual "pan" template to model servings.
Pre-teach the word "reciprocal" with a flip-card activity.
Allow fraction calculators or fraction wall for computation support.
Reduce Apply to Q1–Q4 (whole-number quotients only).

Differentiation — Challenge

Ask students to write a word problem for Q5 or Q6.
Extend: divide a mixed number by a fraction (preview 7th grade).
Explore: why does flipping and multiplying work? (visual proof with number lines).

ESOL / Language Supports

Post Keep–Flip–Multiply with a picture-step poster (keep = hand holding, flip = arrow, multiply = X).
Use sentence frames: "I keep ___, flip ___ to get ___, then multiply to get ___."
Allow L1 for reflection; drawings accepted as proof-of-concept for the visual model.
Provide a bilingual vocabulary card for: fraction, numerator, denominator, reciprocal, quotient.

Common Errors to Watch For

Flipping the first fraction instead of the second — reinforce "Keep the first, Flip the second."
Forgetting to simplify (e.g. writing 24/4 instead of 6) — model simplifying as the final step.
Confusing division with multiplication — use the brownie story repeatedly as an anchor.

Engage — Think About It

A baker has 3/4 of a pan of brownies. Each serving is 1/8 of a pan.

How many servings can the baker cut?

Sketch the pan or picture it in your head. Write your guess before you learn the rule — guesses are OK!

Explore — Play & Discover

Open one of these to explore dividing fractions in the bakery before the lesson.

Click a button. Try the game or resource, then come back to this page.

Play: Fraction Kitchen (3D Game) Math Hub Math Graphic Novels

After exploring: what question about fractions did you wonder about? (optional)

I wondered …

Explain — Learn the Rule

Key idea: To divide by a fraction, flip the second fraction and multiply. The flipped fraction is called the reciprocal.

Dividing fractions — finding how many equal parts fit inside a fraction.
Reciprocal — the flip of a fraction. The reciprocal of 1/8 is 8/1 = 8.
Quotient — the answer to a division problem.
Keep–Flip–Multiply — Keep the first fraction. Flip the second. Multiply top × top and bottom × bottom. Simplify.

Worked example — the brownie question from Step 1:

3/4 ÷ 1/8 = ?

Keep: 3/4 Flip: 1/8 → 8/1 Multiply:

3/4 × 8/1 = 24/4 = 6

The baker can cut 6 servings.

Extra example: 2/3 ÷ 1/6 → Keep 2/3, Flip to 6/1, Multiply → 12/3 = 4.

Apply — Show What You Know (Self-Check)

Answer all problems. Use Keep–Flip–Multiply. Write fractions like 2/3. Then press Check My Answers for instant feedback.

1. 1/2 ÷ 1/4 = ? (How many 1/4-cup scoops fit in 1/2 cup? Whole number.)

2. 3/4 ÷ 1/8 = ? (Like the brownie example. Whole number.)

3. 2/3 ÷ 1/6 = ? (Choose the whole number that equals the quotient.)

3 4 6 12

4. 4/5 ÷ 2/5 = ? (The denominators are the same — think about how many fit.)

1 2 4 8/25

5. 1/2 ÷ 3/4 = ? (Answer is a fraction. Write it like 2/3. Simplify fully.)

6. 5/6 ÷ 1/3 = ? (Answer is a fraction. Write it like 5/2. Simplify if you can.)

Teacher Answer Key (click to reveal)

Q1. 2 — 1/2 × 4/1 = 4/2 = 2. Two 1/4-cup scoops fit in 1/2 cup.
Q2. 6 — 3/4 × 8/1 = 24/4 = 6. (Anchor to brownie example.)
Q3. 4 — 2/3 × 6/1 = 12/3 = 4.
Q4. 2 — 4/5 × 5/2 = 20/10 = 2.
Q5. 2/3 — 1/2 × 4/3 = 4/6 = 2/3. (Must simplify 4/6.)
Q6. 5/2 — 5/6 × 3/1 = 15/6 = 5/2. Also accept 2.5 or 2 1/2.

Sample reflection — R-A: "Keep the first fraction the same. Flip the second fraction to get its reciprocal. Then multiply across. Simplify your answer." R-B: "A baker divides dough equally. A cook divides a recipe into smaller portions for individual servings."

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Rubric — Dividing Fractions

Level	Score	What it looks like
Exceeds (4)	6/6	All problems correct including fraction quotients (Q5, Q6); reflection precisely explains Keep–Flip–Multiply and gives a detailed real-world use.
Meets (3)	4–5/6	Whole-number quotients correct; may have one arithmetic error on fraction quotients; reflection explains the procedure in own words.
Approaching (2)	2–3/6	Some whole-number quotients correct; frequently flips wrong fraction or forgets to simplify; reflection is incomplete or describes multiplication rather than division.
Beginning (1)	0–1/6	Most answers missing or incorrect; does not apply Keep–Flip–Multiply; reflection missing or very brief. Needs reteaching with visual model.

Reflect — In Your Own Words

Write 1–2 complete sentences for each prompt. Use the vocabulary words: reciprocal, Keep–Flip–Multiply, quotient.

A. Explain Keep–Flip–Multiply to a friend who was absent. What do you keep? What do you flip? What does the answer tell you?

B. Describe one real-world situation where a baker or cook would need to divide fractions. Be specific — name the amounts.

Deliverable: When you finish all sections, press Check My Answers above, then use the Save as PDF or Save as DOC button to submit your completed HyperDoc. Your teacher will use the rubric above to score it.