Neft Teacher Unit 2

🔍

Divide Mixed Numbers

6.NS.1 Lesson 2-4

My Math Notebook

Name:

Date:

Period:

I Can…

I can divide mixed numbers by first changing them to improper fractions.

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

🎯 Content Objective / Objetivo de contenido

I can divide mixed numbers by first changing them to improper fractions.

Reveal Math Grade 6 Agenda 6.NS.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

🔍

Lesson Phase

LAUNCH

⏱ ~10 min

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

⏱️ 3 MIN · THINK-PAIR-SHARE

Agent Chen maps a 3 1/2-mile route divided into 1/4-mile segments. Why can't she just divide 3 1/2 by 1/4 while it is still a mixed number?

mixed numberimproper fractionconvert

Reveal Math Grade 6 CFU 1 6.NS.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.NS.1

Visual Prompt

Detective Agency Case File

Agent Chen is mapping a suspect's route. The total distance is 3 1/2 miles, and each segment between landmarks is 1/4 mile. She needs to know how many segments are on the route to place surveillance cameras at every landmark.

👁 I Notice...

🔹 What is the total distance of the route?

🔹 How long is each segment?

🔹 Will the number of segments be more or less than 3?

💭 I Wonder...

🔹 Why do we need to convert mixed numbers before dividing?

🔹 Can you divide mixed numbers without converting first?

Reveal Math Grade 6 Concept Launch 6.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 DETECTIVE AGENCY

Concept Launch

💡 How do I divide with mixed numbers?

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

A mixed number, like 3 1/2, has a whole part and a fraction part. Before you can divide, you change each mixed number into an improper fraction (top heavier than bottom). Then you use Keep, Change, Flip.

Key Idea:

Always convert a mixed number to an improper fraction first, then divide using Keep, Change, Flip.

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

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

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

Reveal Math Grade 6 CFU 2 6.NS.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.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 DETECTIVE AGENCY

Now it's your turn

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

⏱️ Time: 5 min

1Now fill in the table: convert each mixed number to an improper fraction, then divide using Keep, Change, Flip.

🎮

Open the interactive HTML activity for full practice.

Launch Activity ↗

📚

Lesson Phase

VOCABULARY

⏱ ~8 min

Reveal Math Grade 6 Vocabulary 6.NS.1

Term / Término	Meaning / Significado	Visual
Mixed Number Número mixto	A whole number plus a fraction, like 2 1/3. Un número entero más una fracción, como 2 1/3.	2 1/3 means 2 wholes and 1/3 more — picture 2 full circles and 1/3 of another
Improper Fraction Fracción impropia	A fraction where the top is bigger than or equal to the bottom, like 7/4. Una fracción donde el número de arriba es mayor o igual al de abajo, como 7/4.	7/3 is improper because 7 > 3. It equals 2 1/3 as a mixed number.
Convert Convertir	To change a number to a new form but keep the same value. Cambiar un número a otra forma sin cambiar su valor.	2 1/3 → multiply 2 × 3 = 6, add 1 → 7/3. Same value, different form.
Simplify Simplificar	To make a fraction smaller using the same parts, like 2/4 = 1/2. Hacer una fracción más pequeña con las mismas partes, como 2/4 = 1/2.	8/6: GCF is 2 → 8÷2 / 6÷2 = 4/3 = 1 1/3
Reciprocal Recíproco	A fraction turned upside down. You use it in keep-change-flip. Una fracción volteada de arriba abajo. Se usa en deja-cambia-voltea.	The reciprocal of 3/4 is 4/3. To divide by 3/4, multiply by 4/3.

Mixed Number: example vs. non-example

✓ 2 1/3It has a whole part (2) and a fraction part (1/3).

✗ 7/3That is an improper fraction, not a mixed number.

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

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 DETECTIVE AGENCY

Which Word Fits?

❓ CLOZE POLL

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

A number with a whole number and a fraction, like 2 1/3, is a ___.

Use It In a Sentence

Reveal Math Grade 6 CFU 3 6.NS.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.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 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 Chen maps a 3 1/2-mile route divided into 1/4-mile segments. Why can't she just divide 3 1/2 by 1/4 while it is still a mixed number?

Sentence starters (tap to use):

✍️ I cannot divide yet because 3 1/2 is a ___ and I need an ___.No puedo dividir todavía porque 3 1/2 es un ___ y necesito una ___.

✍️ First I must convert 3 1/2 into ___.Primero debo convertir 3 1/2 en ___.

Stretch further:

➕ I estimate about ___ segments because ___.

➕ Each mile holds ___ quarter-mile segments, so ___.

WORD BANK:

mixed numberimproper fractionconvert

90s

👂 Listen For

Students explain that the mixed number must be converted to an improper fraction (7/2) before applying Keep, Change, Flip.

Extend: Estimate the number of segments first. Is your estimate close to 14? Justify using the route length and segment size.

🔍

Lesson Phase

EXPLORE & PRACTICE

⏱ ~18 min

Reveal Math Grade 6 Visual Model 6.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 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.NS.1

🔍 DETECTIVE AGENCY

Explore Activity

Convert each mixed number to an improper fraction, then use Keep, Change, Flip to divide.

improper5/2convertmultiplyreciprocalkeep-change-flip

✍️ Explore Discourse

Why is converting to an improper fraction the first step when dividing mixed numbers?

Before dividing, I convert 2 1/2 to ___ because it is easier to ___ with improper fractions.

Reveal Math Grade 6 Whiteboard CFU 6.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 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.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 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

Walk your partner through how you changed the mixed numbers before dividing.

Sentence starters (tap to use):

✍️ First I converted ___ into the improper fraction ___.Primero convertí ___ en la fracción impropia ___.

✍️ Then I flipped the divisor and got the quotient ___.Luego volteé el divisor y obtuve el cociente ___.

Stretch further:

➕ The student forgot to ___.

➕ The correct improper fraction is ___ because ___.

WORD BANK:

mixed numberimproper fractionreciprocalsimplify

90s

👂 Listen For

Students correctly convert (multiply whole by denominator, add numerator) before flipping the divisor and simplifying.

Extend: A student converted 2 1/3 to 6/3 instead of 7/3. Critique exactly what step they skipped.

Reveal Math Grade 6 Practice A 6.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 DETECTIVE AGENCY

Practice Check A

📝 QUICK CHECK

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

⏱️ Time: 2 min

A baker has 2 1/4 cups of butter. Each batch of cookies needs 3/4 cup of butter. How many batches can the baker make?

✍️ Show Your Work

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

Teacher reveal: Convert 2 1/4 = 9/4. Then 2 1/4 ÷ 3/4 = 9/4 × 4/3 = 36/12 = 3 batches.

Reveal Math Grade 6 Practice B 6.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 DETECTIVE AGENCY

Practice Check B

📝 QUICK CHECK

❓ Ask: Partner discussion first, then vote.

⏱️ Time: 2 min

What is 1 1/2 ÷ 3/4?

✍️ Show Your Work

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

Teacher reveal: 1 1/2 = 3/2. Then 3/2 ÷ 3/4 = 3/2 × 4/3 = 12/6 = 2.

Reveal Math Grade 6 Ratio Table Builder 6.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 DETECTIVE AGENCY

Ratio Table Builder

📊 RATIO TABLE

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

⏱️ Time: 5 min

✍️ Justify Your Thinking

Reveal Math Grade 6 Error Analysis 6.NS.1

⚠ Find the Mixed Number 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 2 1/3 ÷ 1/2

2 Convert 2 1/3 = 6/3

3 Keep, Change, Flip 6/3 × 2/1

4 Multiply 12/3 = 4

Which step has the error?

Reveal Math Grade 6 Choice Board 6.NS.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.NS.1

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

Frame 1 Explain the Rule

Today's key idea is: "Always convert a mixed number to an improper fraction first, then divide using Keep, Change, Flip." — and it works because ___.

Frame 2 Because / But / So

Because Mixed Number means ___, but a tricky part is ___, so I have to ___.

Frame 3 Catch the Mistake

A common mistake with Mixed Number is ___. It happens because ___, and the fix is ___.

Frame 4 Prove It

I can prove my answer is correct by ___, using Improper Fraction to check my work.

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

✍️ TWR · WRITE 3 SENTENCES · 7 MIN

Sentence kernelAlways convert a mixed number to an improper fraction first, then divide using Keep, Change, Flip.

because

Give a reason

Always convert a mixed number to an improper fraction first, then divide using Keep, Change, Flip. because ___

but

Name a tricky part

Always convert a mixed number to an improper fraction first, then divide using Keep, Change, Flip. but ___

so

State what it means

Always convert a mixed number to an improper fraction first, then divide using Keep, Change, Flip. so ___

Reveal Math Grade 6 Sentence Expansion 6.NS.1

🌱 TWR · GROW THE KERNEL · 6 MIN

Sentence kernelToday we used Mixed Number.

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.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 DETECTIVE AGENCY

Student Workspace

📊 FILL THE TABLE

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

⏱️ Time: 5 min

Convert each mixed number to an improper fraction, then use Keep, Change, Flip to divide.

Column A	Column B
[object Object]
[object Object]
[object Object]
[object Object]

✏️ Sketch Your Strategy

Reveal Math Grade 6 Differentiation 6.NS.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 1 1/2 ÷ 3/4?

🎯 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.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 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.NS.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.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 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 a rope that is 5 1/4 feet long. She needs to cut it into pieces that are each 3/4 of a foot for tying evidence tags. How many pieces can she cut?

convertimproperreciprocalmultiply7pieces

✍️ Connection Reasoning

How does dividing mixed numbers help the detective?

The detective can cut ___ pieces because 5 1/4 ÷ 3/4 = 21/4 × 4/3 = 84/12 = ___.

Reveal Math Grade 6 Discuss Connect 6.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 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 mixed numbers come up in a real project, like building or cooking?

Sentence starters (tap to use):

✍️ I would divide mixed numbers when ___.Dividiría números mixtos cuando ___.

✍️ For example, cutting ___ feet into ___-foot pieces gives ___.Por ejemplo, cortar ___ pies en piezas de ___ pie da ___.

Stretch further:

➕ My steps are: first ___, then ___, then ___.

➕ This always works because ___.

WORD BANK:

mixed numberimproper fractionconvert

90s

👂 Listen For

Students give a realistic project scenario and recognize the mixed-number amount must be converted first.

Extend: Generalize the full set of steps for dividing any two mixed numbers, in order.

✅

Lesson Phase

CLOSURE & REFLECT

⏱ ~8 min

Reveal Math Grade 6 Exit Ticket 6.NS.1

Reflection

Today I learned that ___ because ___.

One thing I am still not sure about is ___.

Quick Exit Ticket

What is 2 2/3 ÷ 2/3?

Reveal Math Grade 6 Goal Tracker 6.NS.1

Reveal Math Grade 6 Bonus Check 6.NS.1

🎯 I can divide mixed numbers by first changing them to improper fractions.

🔍 DETECTIVE AGENCY

Bonus Exit Check

📝 QUICK CHECK

❓ Ask: Optional for early finishers.

⏱️ Time: 2 min

Convert 3 2/5 to an improper fraction.

✍️ Show Your Work

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

Teacher reveal: 3 × 5 = 15, then 15 + 2 = 17. So 3 2/5 = 17/5.

Reveal Math Grade 6 Reflection 6.NS.1

🔍 DETECTIVE AGENCY

Reflection & Self-Assessment

3 Things I learned:

2 Connections:

1 Question:

Self-Assessment:

Reveal Math Grade 6 Digital Activity 6.NS.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.NS.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.NS.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 explain that the mixed number must be converted to an improper fraction (7/2) before applying Keep, Change, Flip.

• Students correctly convert (multiply whole by denominator, add numerator) before flipping the divisor and simplifying.

• Students give a realistic project scenario and recognize the mixed-number amount must be converted first.

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

Common mistake: A common mistake in Divide Mixed Numbers is skipping the key idea: "Always convert a mixed number to an improper fraction first, then divide using Keep, Change, Flip." — always check your work against this rule before you submit.

Reveal Math Grade 6 Answer Key 6.NS.1

🔍 DETECTIVE AGENCY

Answer Key (Teacher Appendix)

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

✓ Practice 1: 3 batches — Convert 2 1/4 = 9/4. Then 2 1/4 ÷ 3/4 = 9/4 × 4/3 = 36/12 = 3 batches.

✓ Practice 2: 2 — 1 1/2 = 3/2. Then 3/2 ÷ 3/4 = 3/2 × 4/3 = 12/6 = 2.

✓ Practice 3: 17/5 — 3 × 5 = 15, then 15 + 2 = 17. So 3 2/5 = 17/5.

✓ Practice 4: 3 — 2 1/4 = 9/4. Then 9/4 ÷ 3/4 = 9/4 × 4/3 = 36/12 = 3.

✓ Exit ticket: 4 — 2 2/3 = 8/3. Then 8/3 ÷ 2/3 = 8/3 × 3/2 = 24/6 = 4.

Factor	A	B
×1
×2
×3