Neft Teacher Unit 6

🔍

Divide Whole Numbers by Fractions

6.NOS.1 Lesson 6-9

My Math Notebook

Name:

Date:

Period:

I Can…

I can divide a whole number by a fraction by multiplying by the reciprocal.

Reveal Math Grade 6 How to Use 6.NOS.1

🔍 DETECTIVE AGENCY

How to Use This Deck

▶Present

Click Present or press F11 for fullscreen. Use arrow keys to advance.

👩‍🏫Teacher cues

Blue boxes show exactly what to say, ask, and how long to spend.

👨‍🎓Student work

Text boxes, polls, and drag-sort save automatically in the browser.

📝Notes

Press N or click 📝 in the toolbar for pacing tips and answers.

🎮Activity link

Launch the full HTML activity for independent practice.

🖨️Print

File → Print or the print button for handout copies.

⏱️ Time: 30 sec — read aloud, then advance

Reveal Math Grade 6 Learning Targets 6.NOS.1

🎯 Content Objective / Objetivo de contenido

I can divide a whole number by a fraction by multiplying by the reciprocal.

Reveal Math Grade 6 Agenda 6.NOS.1

🔍 DETECTIVE AGENCY

Today's Flow

1 Warm-Up 5m

2 Vocabulary 8m

3 I Do 5m

4 We Do 5m

5 Explore 8m

6 Practice 10m

7 Connect 5m

8 Exit Ticket 5m

Total pacing: ~45 min · Progress bar at top tracks your place

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Lesson Phase

LAUNCH

⏱ ~10 min

Reveal Math Grade 6 Warm-Up Hook 6.NOS.1

⏱️ 3 MIN · THINK-PAIR-SHARE

Agent Park has 4 pounds of evidence powder and fills bags that hold 1/2 pound each. How many bags can he fill, and how do you know?

whole numberfractionquotient

Reveal Math Grade 6 CFU 1 6.NOS.1

🔍 DETECTIVE AGENCY

Check for Understanding #1

✋ CFU · THUMBS

❓ Ask: Can you restate the warm-up question in your own words?

⏱️ Time: 30 sec

Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.

Reveal Math Grade 6 Be Curious 6.NOS.1

Visual Prompt

Detective Agency Case File

Agent Park has 4 pounds of evidence powder. Each testing bag holds exactly 1/2 pound. He needs to prepare as many testing bags as possible before the lab deadline. How many bags can he fill?

A bar model of a 3-hour afternoon session filled with equal 45-minute activities.

👁 I Notice...

🔹 How much total powder does Agent Park have?

🔹 How much goes into each bag?

🔹 Will the number of bags be more or less than 4?

💭 I Wonder...

🔹 Why does dividing by 1/2 give a number larger than 4?

🔹 How is dividing by a fraction related to multiplying?

Reveal Math Grade 6 Concept Launch 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Concept Launch

💡 How do I divide a whole number by a fraction?

👩‍🏫 Say: This is the big idea for today. Students should be able to repeat it by the end.

To divide a whole number by a fraction, you can use Keep, Change, Flip: keep the first number, change divide to multiply, and flip the fraction upside down (its reciprocal). Then multiply.

Key Idea:

Dividing Fractions by Fractions. Formula: a/b ÷ c/d = (a · d) / (b · c). 1. Rewrite division as multiplication by the reciprocal of the divisor. 2. Cross-cancel common factors before multiplying. 3. Multiply numerators, multiply denominators, and simplify

Reveal Math Grade 6 I Do — Watch Me 6.NOS.1

Reveal Math Grade 6 I Do — Key Step 6.NOS.1

Reveal Math Grade 6 We Do — Together 6.NOS.1

Reveal Math Grade 6 CFU 2 6.NOS.1

🔍 DETECTIVE AGENCY

Check for Understanding #2

✋ CFU · THUMBS

❓ Ask: Can you explain what we did in the We Do example?

⏱️ Time: 30 sec

Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.

Reveal Math Grade 6 You Do — Your Turn 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Now it's your turn

👨‍🎓 Students: Work independently first, then check with a partner.

⏱️ Time: 5 min

1Now use the number line to show how many 1/4-jumps fit into 3 — a new problem, not the 4 ÷ 1/2 we just watched.

2Then try the practice problems with Keep, Change, Flip.

🎮

Open the interactive HTML activity for full practice.

Launch Activity ↗

📚

Lesson Phase

VOCABULARY

⏱ ~8 min

Reveal Math Grade 6 Vocabulary 6.NOS.1

Term / Término	Meaning / Significado	Visual
Divide Whole Numbers by Fractions Dividir números enteros entre fracciones	Find how many fractional groups fit in a whole number by multiplying by the reciprocal. Hallar cuántos grupos fraccionarios caben en un número entero multiplicando por el recíproco.	4 ÷ 1/2 = 4 × 2 = 8
Whole Number Número entero	A counting number with no fraction or decimal, like 0, 1, 2, 3. Un número de contar sin fracción ni decimal, como 0, 1, 2, 3.	4 is a whole number; as a fraction it is 4/1
Fraction Fracción	A number that shows part of a whole, like 3/4. Un número que muestra una parte de un todo, como 3/4.	1/2 means 1 out of 2 equal parts — like cutting a sandwich in half and taking one piece
Reciprocal Recíproco	A fraction turned upside down. Una fracción volteada de arriba abajo.	The reciprocal of 2/3 is 3/2. Flip the fraction to divide: 6 ÷ 2/3 = 6 × 3/2
Keep, Change, Flip Mantener, cambiar, invertir	A way to divide fractions: keep the first, change ÷ to ×, flip the second. Una manera de dividir fracciones: deja la primera, cambia ÷ por ×, voltea la segunda.	6 ÷ 1/3 → Keep 6, Change ÷ to ×, Flip 1/3 to 3/1 → 6 × 3 = 18
Quotient Cociente	The answer when you divide. La respuesta cuando divides.	In 4 ÷ 1/2 = 8, the quotient is 8

Divide Whole Numbers by Fractions: example vs. non-example

✓ 4 ÷ 1/5 = 4 × 5 = 20Dividing by a part gives more, not less.

✗ 4 ÷ 1/5 = 4 × 1/5That multiplies instead of dividing.

Reveal Math Grade 6 Which Word? 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Which Word Fits?

❓ CLOZE POLL

❓ Ask: Vote A B C D — then defend your choice.

Multiply the whole number by the ___ of the fraction.

Use It In a Sentence

Reveal Math Grade 6 CFU 3 6.NOS.1

🔍 DETECTIVE AGENCY

Check for Understanding #3

✋ CFU · THUMBS

❓ Ask: Use one vocabulary word in a sentence about today's topic.

⏱️ Time: 30 sec

Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.

Reveal Math Grade 6 Turn & Talk 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Turn & Talk — Launch

🗣️ TURN & TALK

👩‍🏫 Say: Partner A shares first for 45 seconds, then Partner B.

👨‍🎓 Students: Turn to your elbow partner. Use the sentence stems.

⏱️ Time: 90 sec

Agent Park has 4 pounds of evidence powder and fills bags that hold 1/2 pound each. How many bags can he fill, and how do you know?

Sentence starters (tap to use):

✍️ 1/2 pound fits into 4 pounds a total of ___ times.1/2 libra cabe en 4 libras un total de ___ veces.

✍️ I know because each pound holds ___ bags, so ___.Lo sé porque cada libra contiene ___ bolsas, así que ___.

Stretch further:

➕ Dividing 4 by 1/2 makes the answer larger because ___.

➕ Dividing by less than one whole means ___.

WORD BANK:

whole numberfractionquotient

90s

👂 Listen For

Students see that 4 ÷ 1/2 = 8 and explain there are 2 halves in each whole pound.

Extend: Why does dividing 4 by 1/2 give 8, a number larger than 4, even though you are dividing? Justify.

🔍

Lesson Phase

EXPLORE & PRACTICE

⏱ ~18 min

Reveal Math Grade 6 Visual Model 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Visual Modeling Workspace

Use the drawing tray below to annotate the visual model. Teacher: say "Click to reveal" on key steps.

Reveal Math Grade 6 Explore 6.NOS.1

🔍 DETECTIVE AGENCY

Explore Activity

Use the number line to show how many 1/4-size jumps fit into 3.

12fourthjumps3four timeseach whole

✍️ Explore Discourse

Why does 3 ÷ 1/4 = 12? How does the number line show this?

3 ÷ 1/4 = 12 because it takes ___ jumps of ___ to get from 0 to ___.

Reveal Math Grade 6 Whiteboard CFU 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Whiteboard Moment

🖊️ WHITEBOARD CFU

👨‍🎓 Students: On your whiteboard or paper, solve ONE quick problem using today's strategy. Hold it up when done.

⏱️ Time: 2 min

Show your work clearly. Be ready to explain your thinking to a partner.

Reveal Math Grade 6 Discuss Explore 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Turn & Talk — Explore

🗣️ TURN & TALK

👩‍🏫 Say: Partner A shares first for 45 seconds, then Partner B.

👨‍🎓 Students: Turn to your elbow partner. Use the sentence stems.

⏱️ Time: 90 sec

How does 'Keep, Change, Flip' turn 6 ÷ 1/3 into a multiplication problem?

Sentence starters (tap to use):

✍️ I keep ___, change the sign to ___, and flip ___ to ___.Mantengo ___, cambio el signo a ___, y volteo ___ a ___.

✍️ So 6 ÷ 1/3 becomes 6 × ___, which equals ___.Entonces 6 ÷ 1/3 se convierte en 6 × ___, que es igual a ___.

Stretch further:

➕ Multiplying by the reciprocal works because ___.

➕ Both methods give ___ because ___.

WORD BANK:

reciprocalKeep, Change, Flipquotient

90s

👂 Listen For

Students correctly flip the divisor to its reciprocal (3) and explain multiplying by the reciprocal gives the same result as dividing.

Extend: Explain why multiplying by the reciprocal gives the same answer as counting how many 1/3-pieces fit into 6.

Reveal Math Grade 6 Practice A 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Practice Check A

📝 QUICK CHECK

❓ Ask: Give students 1 minute. Cold-call one student to defend their answer.

⏱️ Time: 2 min

What is 6 ÷ 2/3?

✍️ Show Your Work

Explain why your answer is correct using today's vocabulary.

Teacher reveal: 6 ÷ 2/3 = 6 × 3/2 = 18/2 = 9. Keep 6, change ÷ to ×, flip 2/3 to 3/2.

Reveal Math Grade 6 Practice B 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Practice Check B

📝 QUICK CHECK

❓ Ask: Partner discussion first, then vote.

⏱️ Time: 2 min

What is 6 ÷ 1/3?

✍️ Show Your Work

Explain why your answer is correct using today's vocabulary.

Teacher reveal: 6 ÷ 1/3 = 6 × 3/1 = 18. There are 18 thirds in 6 wholes.

Reveal Math Grade 6 Expression Simplify 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Expression Simplify

🔢 SIMPLIFY

👨‍🎓 Students: Work at your own pace. Check with a partner before we discuss.

⏱️ Time: 5 min

Complete the interactive activity using today's strategy.

✍️ Justify Your Thinking

Reveal Math Grade 6 Error Analysis 6.NOS.1

⚠ Find the Division Error

A classmate turned in the work below. One step has a mistake. Read every step, find it, name it, and fix it.

Student's work — read every step:

1 Problem 6 ÷ 2/3

2 Keep, Change, Flip 6 × 2/3

3 Multiply 12/3

4 Simplify 4

Which step has the error?

Reveal Math Grade 6 Choice Board 6.NOS.1

Choose ONE option to show what you know — then do it in the workspace below.

I chose option — my work:

Reveal Math Grade 6 Think Write 6.NOS.1

Use evidence from today's lesson to complete each frame.

Frame 1 Explain the Rule

Today's key idea is: "Dividing Fractions by Fractions. Formula: a/b ÷ c/d = (a · d) / (b · c). 1. Rewrite division as multiplication by the reciprocal of the divisor. 2. Cross-cancel common factors before multiplying. 3. Multiply numerators, multiply denominators, and simplify" — and it works because ___.

Frame 2 Because / But / So

Because Divide Whole Numbers by Fractions means ___, but a tricky part is ___, so I have to ___.

Frame 3 Catch the Mistake

A common mistake with Divide Whole Numbers by Fractions is ___. It happens because ___, and the fix is ___.

Frame 4 Prove It

I can prove my answer is correct by ___, using Whole Number to check my work.

Reveal Math Grade 6 Because · But · So 6.NOS.1

✍️ TWR · WRITE 3 SENTENCES · 7 MIN

Sentence kernelDividing Fractions by Fractions. Formula: a/b ÷ c/d = (a · d) / (b · c). 1. Rewrite division as multiplication by the reciprocal of the divisor. 2. Cross-cancel common factors before multiplying. 3. Multiply numerators, multiply denominators, and simplify

because

Give a reason

Dividing Fractions by Fractions. Formula: a/b ÷ c/d = (a · d) / (b · c). 1. Rewrite division as multiplication by the reciprocal of the divisor. 2. Cross-cancel common factors before multiplying. 3. Multiply numerators, multiply denominators, and simplify because ___

but

Name a tricky part

Dividing Fractions by Fractions. Formula: a/b ÷ c/d = (a · d) / (b · c). 1. Rewrite division as multiplication by the reciprocal of the divisor. 2. Cross-cancel common factors before multiplying. 3. Multiply numerators, multiply denominators, and simplify but ___

so

State what it means

Dividing Fractions by Fractions. Formula: a/b ÷ c/d = (a · d) / (b · c). 1. Rewrite division as multiplication by the reciprocal of the divisor. 2. Cross-cancel common factors before multiplying. 3. Multiply numerators, multiply denominators, and simplify so ___

Reveal Math Grade 6 Sentence Expansion 6.NOS.1

🌱 TWR · GROW THE KERNEL · 6 MIN

Sentence kernelToday we used Divide Whole Numbers by Fractions.

Answer these to add detail

What exactly?When?Where in real life?Why does it work?How did we use it?

Sentence starters (tap to use)

First, …For example, …This means that …In other words, …As a result, …I know this because …

Reveal Math Grade 6 Student Workspace 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Student Workspace

📊 FILL THE TABLE

👨‍🎓 Students: Complete the missing cells. Check with a partner before we discuss.

⏱️ Time: 5 min

Use the number line to show how many 1/4-size jumps fit into 3.

Column A	Column B

✏️ Sketch Your Strategy

Reveal Math Grade 6 Differentiation 6.NOS.1

🔍 DETECTIVE AGENCY

Differentiation Paths

🎯 CHOOSE YOUR LEVEL

👩‍🏫 Say: Everyone works on the same math goal — pick the level of support that fits today.

⏱️ Time: 8–10 min independent or partner

🧩 Level 0 · Most support

Step-by-step with a worked model and sentence frames.

🌱 Level 1 · Support

What is 6 ÷ 1/3?

🎯 Level 2 · Core

Core practice aligned to the standard.

🚀 Level 2+ · Enrichment

Extension with error analysis or multi-step reasoning.

Reveal Math Grade 6 Partner Activity 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Partner Activity

🤝 PARTNER WORK

📦 Materials: Whiteboards or paper, pencils, vocabulary reference cards

👨‍🎓 Students: Partner A solves, Partner B coaches. Switch roles on the next problem.

⏱️ Time: 6 min

Work with your partner on the practice problems at your differentiation path level. Explain each step using math vocabulary.

Reveal Math Grade 6 CFU 4 6.NOS.1

🔍 DETECTIVE AGENCY

Check for Understanding #4

✋ CFU · THUMBS

❓ Ask: Thumbs up if you and your partner agree on your answer.

⏱️ Time: 30 sec

Teacher: If >30% thumbs down, re-teach with a fresh example before moving on.

Reveal Math Grade 6 Math in the Wild 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Real-World Connection

🌍 Math in the Wild

👩‍🏫 Say: Read the scenario. Ask: where else have you seen this kind of math?

A detective has 10 feet of rope to section off a crime scene. Each section needs to be 1/4 of a foot long for detailed evidence markers. How many markers can the detective set up?

dividereciprocalmultiply40markerswhole number

✍️ Connection Reasoning

How does dividing a whole number by a fraction help the detective?

The detective can set up ___ markers because 10 ÷ 1/4 = ___.

Reveal Math Grade 6 Discuss Connect 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Turn & Talk — Connect

🗣️ TURN & TALK

👩‍🏫 Say: Partner A shares first for 45 seconds, then Partner B.

👨‍🎓 Students: Turn to your elbow partner. Use the sentence stems.

⏱️ Time: 90 sec

When would dividing a whole number by a fraction help you in real life?

Sentence starters (tap to use):

✍️ Dividing a whole number by a fraction is useful when ___.Dividir un número entero entre una fracción es útil cuando ___.

✍️ For example, ___ pounds split into ___-pound portions makes ___.Por ejemplo, ___ libras divididas en porciones de ___ libra hace ___.

Stretch further:

➕ This is not always true because ___.

➕ Multiplying by a reciprocal makes the answer bigger only when ___.

WORD BANK:

whole numberfractionreciprocal

90s

👂 Listen For

Students give a realistic portion/serving scenario and set it up as whole ÷ fraction.

Extend: A student says you should always multiply by the reciprocal to make the answer bigger. Critique this overgeneralization.

Reveal Math Grade 6 Summarize 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

Key Concept

Summarize: Divide Whole Numbers by Fractions

Dividing Fractions by Fractions. Formula: a/b ÷ c/d = (a · d) / (b · c). 1. Rewrite division as multiplication by the reciprocal of the divisor. 2. Cross-cancel common factors before multiplying. 3. Multiply numerators, multiply denominators, and simplify

In your own words:

✅

Lesson Phase

CLOSURE & REFLECT

⏱ ~8 min

Reveal Math Grade 6 Exit Ticket 6.NOS.1

Reflection

Today I learned that ___ because ___.

One thing I am still not sure about is ___.

Quick Exit Ticket

What is 9 ÷ 1/3?

Reveal Math Grade 6 Goal Tracker 6.NOS.1

Reveal Math Grade 6 Bonus Check 6.NOS.1

🎯 I can divide a whole number by a fraction by multiplying by the reciprocal.

🔍 DETECTIVE AGENCY

Bonus Exit Check

📝 QUICK CHECK

❓ Ask: Optional for early finishers.

⏱️ Time: 2 min

What is 3 ÷ 1/5?

✍️ Show Your Work

Explain why your answer is correct using today's vocabulary.

Teacher reveal: 3 ÷ 1/5 = 3 × 5/1 = 15. There are 15 fifths in 3 wholes.

Reveal Math Grade 6 Reflection 6.NOS.1

🔍 DETECTIVE AGENCY

Reflection & Self-Assessment

3 Things I learned:

2 Connections:

1 Question:

Self-Assessment:

Reveal Math Grade 6 Digital Activity 6.NOS.1

🔍 DETECTIVE AGENCY

Continue Learning

🎮

Launch the Full Interactive Activity

Students continue practice in the HTML lesson engine with auto-check, hints, and differentiation.

Open Lesson Activity ↗ Family Homework ↗

👩‍🏫 Say: Early finishers: open the activity. Everyone else: start homework tonight.

Reveal Math Grade 6 Family Connection 6.NOS.1

🔍 DETECTIVE AGENCY

Family Connection

Share tonight's family homework and discuss one vocabulary word at home.

Open Family Homework ↗

👩‍🏫 Say: Tell families: "Ask your student to teach you one thing from today's lesson."

Reveal Math Grade 6 Teacher Notes 6.NOS.1

🔍 DETECTIVE AGENCY

Teacher Notes

⏱️ Pacing Guide

Launch & vocab: 12 min
I Do / We Do / You Do: 15 min
Explore & practice: 15 min
Connect & closure: 8 min

Total: ~45 min

🎯 Listen For · Common Errors

• Students see that 4 ÷ 1/2 = 8 and explain there are 2 halves in each whole pound.

• Students correctly flip the divisor to its reciprocal (3) and explain multiplying by the reciprocal gives the same result as dividing.

• Students give a realistic portion/serving scenario and set it up as whole ÷ fraction.

• Listen for students naming a specific strategy tied to 6.NOS.1 — not just "I multiplied." They should connect steps to the key idea.

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?

Reveal Math Grade 6 Answer Key 6.NOS.1

🔍 DETECTIVE AGENCY

Answer Key (Teacher Appendix)

Hide this slide during presentation or move to the end of your copy.

✓ Practice 1: 9 — 6 ÷ 2/3 = 6 × 3/2 = 18/2 = 9. Keep 6, change ÷ to ×, flip 2/3 to 3/2.

✓ Practice 2: 18 — 6 ÷ 1/3 = 6 × 3/1 = 18. There are 18 thirds in 6 wholes.

✓ Practice 3: 15 — 3 ÷ 1/5 = 3 × 5/1 = 15. There are 15 fifths in 3 wholes.

✓ Practice 4: 40 — 10 ÷ 1/4 = 10 × 4/1 = 40. There are 40 quarter-size pieces in 10 wholes.

✓ Exit ticket: 27 — 9 ÷ 1/3 = 9 × 3/1 = 27. There are 27 thirds in 9 wholes.