Neft Teacher Unit 6

🎵

Properties of Operations

6.EE.3 Lesson 6-4

My Math Notebook

Name:

Date:

Period:

I Can…

I can use the commutative, associative, and identity properties to rewrite expressions.

Reveal Math Grade 6 How to Use 6.EE.3

🎵 MUSIC STUDIO

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.EE.3

🎯 Content Objective / Objetivo de contenido

I can use the commutative, associative, and identity properties to rewrite expressions.

Reveal Math Grade 6 Agenda 6.EE.3

🎵 MUSIC STUDIO

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.EE.3

⏱️ 3 MIN · THINK-PAIR-SHARE

The band has 3 guitarists, 5 drummers, and 2 keyboard players. Whether you seat guitarists or drummers first, you still have 10 musicians. Which property explains this, and why does it work?

Commutative PropertyAssociative PropertyIdentity PropertyProperty

Reveal Math Grade 6 CFU 1 6.EE.3

🎵 MUSIC STUDIO

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.EE.3

Visual Prompt

Band Formation

You're a band director arranging musicians on stage. You have 3 guitarists, 5 drummers, and 2 keyboard players. Whether you seat the guitarists first or the drummers first, you still have 3 + 5 + 2 = 10 musicians. The order you arrange them doesn't change the total!

👁 I Notice...

🔹 Does the order you add the musicians change the total?

🔹 What if you group different sections together first — does the total change?

🔹 What happens when you add 0 musicians to a group?

💭 I Wonder...

🔹 Do these same rules work for subtraction or division?

🔹 Can rearranging terms help make mental math easier?

Reveal Math Grade 6 Concept Launch 6.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

Concept Launch

💡 What are the properties of operations?

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

Properties are math rules that are always true. The Commutative Property lets you change the order. The Associative Property lets you change the grouping (the parentheses).

Key Idea:

Changing the order or the grouping of numbers being added or multiplied does not change the answer.

Reveal Math Grade 6 I Do — Watch Me 6.EE.3

Reveal Math Grade 6 I Do — Key Step 6.EE.3

Reveal Math Grade 6 We Do — Together 6.EE.3

Reveal Math Grade 6 CFU 2 6.EE.3

🎵 MUSIC STUDIO

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.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

Now it's your turn

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

⏱️ Time: 5 min

1Sort each example into the property it shows: commutative or associative.

2Ask: did the order change, or did the grouping change?

🎮

Open the interactive HTML activity for full practice.

Launch Activity ↗

📚

Lesson Phase

VOCABULARY

⏱ ~8 min

Reveal Math Grade 6 Vocabulary 6.EE.3

Term / Término	Meaning / Significado	Visual
Commutative Property Propiedad conmutativa	You can change the order and get the same answer. Puedes cambiar el orden y obtener la misma respuesta.	3 + 7 = 7 + 3 = 10 both ways; 4 × 5 = 5 × 4 = 20 both ways — order does not matter
Associative Property Propiedad asociativa	You can change the grouping and get the same answer. Puedes cambiar la agrupación y obtener la misma respuesta.	(2 + 3) + 4 = 5 + 4 = 9 and 2 + (3 + 4) = 2 + 7 = 9 — same answer, different grouping
Identity Property Propiedad de identidad	Adding 0 or multiplying by 1 keeps the same value. Sumar 0 o multiplicar por 1 mantiene el mismo valor.	9 + 0 = 9 (zero is the identity for addition); 6 × 1 = 6 (one is the identity for multiplication)
Property Propiedad	A rule that is always true in math. Una regla que siempre es verdadera en matemáticas.	Commutative works for + and ×, but NOT for − or ÷ (since 5 − 3 = 2 but 3 − 5 = −2)
Distributive Property Propiedad distributiva	You can multiply a number by each part inside the parentheses, then add. Puedes multiplicar un número por cada parte dentro del paréntesis y luego sumar.	5(7 + 2) = 5 × 7 + 5 × 2 = 35 + 10 = 45; and 5 × 9 = 45 — same answer either way

Commutative Property: example vs. non-example

✓ 4 + 7 = 7 + 4Changing the order keeps the same sum.

✗ (4 + 7) + 2 = 4 + (7 + 2)That shows the associative property, which regroups.

Reveal Math Grade 6 Which Word? 6.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

Which Word Fits?

❓ CLOZE POLL

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

The rule that order does not change a sum or product, like a + b = b + a, is the ___.

Use It In a Sentence

Reveal Math Grade 6 CFU 3 6.EE.3

🎵 MUSIC STUDIO

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.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

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

The band has 3 guitarists, 5 drummers, and 2 keyboard players. Whether you seat guitarists or drummers first, you still have 10 musicians. Which property explains this, and why does it work?

Sentence starters (tap to use):

✍️ Changing the order still gives 10 because of the ___ property.Cambiar el orden todavía da 10 por la propiedad ___.

✍️ It works because order does not change ___.Funciona porque el orden no cambia ___.

Stretch further:

➕ Reordering ___ work for subtraction because ___.

➕ For example, 5 − 3 = ___ but 3 − 5 = ___, so ___.

WORD BANK:

Commutative PropertyAssociative PropertyIdentity PropertyProperty

90s

👂 Listen For

Students name the commutative property and explain that 3 + 5 + 2 gives 10 in any order because reordering addends does not change the sum.

Extend: Would this same reordering trick work if you were subtracting musicians who left the stage? Justify why the commutative property fails for subtraction.

🔍

Lesson Phase

EXPLORE & PRACTICE

⏱ ~18 min

Reveal Math Grade 6 Visual Model 6.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

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.EE.3

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Explore Activity

Read each pair of expressions. Identify which property of operations is being shown.

ordergroupingcommutativeassociativeparenthesesidentity

✍️ Explore Discourse

How can you tell the difference between the commutative and associative properties? What clue helps you decide?

The ___ property changes the ___, while the ___ property changes the ___. I can tell by looking at whether the ___ moved or the ___ changed.

Reveal Math Grade 6 Whiteboard CFU 6.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

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.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

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 can you tell the commutative property from the associative property? Use 6 + 9 = 9 + 6 and (3 + 5) + 2 = 3 + (5 + 2) to explain.

Sentence starters (tap to use):

✍️ The ___ property changes the order, like 6 + 9 = 9 + 6.La propiedad ___ cambia el orden, como 6 + 9 = 9 + 6.

✍️ The ___ property changes the grouping because ___.La propiedad ___ cambia la agrupación porque ___.

Stretch further:

➕ The identity property is different because it ___ rather than reorder or regroup.

➕ All three keep the value the same, but they change ___, ___, or ___.

WORD BANK:

Commutative PropertyAssociative PropertyIdentity PropertyProperty

90s

👂 Listen For

A strong answer connects commutative to changed order and associative to changed parentheses (grouping), noting both keep the same value.

Extend: Explain why the identity property (like 14 + 0 = 14) is a different idea from both. Generalize what each of the three properties keeps the same.

Reveal Math Grade 6 Practice A 6.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

Practice Check A

📝 QUICK CHECK

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

⏱️ Time: 2 min

Which property is shown? 5 + 13 = 13 + 5

✍️ Show Your Work

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

Teacher reveal: The order of the addends changed, so this is the Commutative Property of Addition.

Reveal Math Grade 6 Practice B 6.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

Practice Check B

📝 QUICK CHECK

❓ Ask: Partner discussion first, then vote.

⏱️ Time: 2 min

Which property is shown? (6 × 3) × 2 = 6 × (3 × 2)

✍️ Show Your Work

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

Teacher reveal: The grouping (parentheses) changed but the order stayed the same, so this is the Associative Property of Multiplication.

Reveal Math Grade 6 Expression Simplify 6.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

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 Sort It Out 6.EE.3

Match each equation with the property it demonstrates.

Card Bank — cut or drag these cards:

⠿a + b = b + a

⠿x × 1 = x

⠿(m + n) + p = m + (n + p)

⠿c × d = d × c

⠿y + 0 = y

⠿(a × b) × c = a × (b × c)

Commutative

Associative

Identity

Reveal Math Grade 6 Error Analysis 6.EE.3

⚠ Find the Property 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 Statement 15 − 8 = 8 − 15

2 Student's claim This shows the Commutative Property of Subtraction.

3 Reasoning I switched the order, so it must be commutative.

Which step has the error?

Reveal Math Grade 6 Choice Board 6.EE.3

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.EE.3

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

Frame 1 Explain the Rule

Today's key idea is: "Changing the order or the grouping of numbers being added or multiplied does not change the answer." — and it works because ___.

Frame 2 Because / But / So

Because Commutative Property means ___, but a tricky part is ___, so I have to ___.

Frame 3 Catch the Mistake

A common mistake with Commutative Property is ___. It happens because ___, and the fix is ___.

Frame 4 Prove It

I can prove my answer is correct by ___, using Associative Property to check my work.

Reveal Math Grade 6 Because · But · So 6.EE.3

✍️ TWR · WRITE 3 SENTENCES · 7 MIN

Sentence kernelChanging the order or the grouping of numbers being added or multiplied does not change the answer.

because

Give a reason

Changing the order or the grouping of numbers being added or multiplied does not change the answer. because ___

but

Name a tricky part

Changing the order or the grouping of numbers being added or multiplied does not change the answer. but ___

so

State what it means

Changing the order or the grouping of numbers being added or multiplied does not change the answer. so ___

Reveal Math Grade 6 Sentence Expansion 6.EE.3

🌱 TWR · GROW THE KERNEL · 6 MIN

Sentence kernelToday we used Commutative Property.

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.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

Student Workspace

📊 FILL THE TABLE

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

⏱️ Time: 5 min

Read each pair of expressions. Identify which property of operations is being shown.

Column A	Column B

✏️ Sketch Your Strategy

Reveal Math Grade 6 Differentiation 6.EE.3

🎵 MUSIC STUDIO

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

Which property is shown? 5 + 13 = 13 + 5

🎯 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.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

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.EE.3

🎵 MUSIC STUDIO

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.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

Real-World Connection

🌍 Math in the Wild

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

A sound engineer needs to calculate 4 × 17 × 25 mentally to find the total cost of audio cables. Using the associative and commutative properties, she rearranges: 4 × 25 × 17 = 100 × 17.

commutativeassociativeordergrouping100mental math

✍️ Connection Reasoning

What properties did the engineer use, and why does rearranging make the calculation easier?

The engineer used the ___ property to change the ___ and the ___ property to change the ___. This makes it easier because 4 × 25 = ___, which is a friendly number to multiply by.

Reveal Math Grade 6 Discuss Connect 6.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

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

To find 4 × 17 × 25 mentally, the engineer rearranges to 4 × 25 × 17 = 100 × 17. Which properties did she use, and why does rearranging help?

Sentence starters (tap to use):

✍️ She used the ___ property to change the order and the ___ property to regroup.Usó la propiedad ___ para cambiar el orden y la propiedad ___ para reagrupar.

✍️ This helps because 4 × 25 = ___, which is ___.Esto ayuda porque 4 × 25 = ___, que es ___.

Stretch further:

➕ I would pair ___ and ___ because their product is ___.

➕ Rearranging works here because the properties let me ___ without changing the answer.

WORD BANK:

Commutative PropertyAssociative PropertyPropertyIdentity Property

90s

👂 Listen For

Students name both the commutative and associative properties, compute 4 × 25 = 100, and explain pairing to a friendly number makes the mental math easier (100 × 17 = 1700).

Extend: Could you use the same strategy to compute 2 × 13 × 50 quickly? Justify which numbers you would pair and why.

✅

Lesson Phase

CLOSURE & REFLECT

⏱ ~8 min

Reveal Math Grade 6 Exit Ticket 6.EE.3

Reflection

Today I learned that ___ because ___.

One thing I am still not sure about is ___.

Quick Exit Ticket

Which property is shown? (8 + 5) + 2 = 8 + (5 + 2)

Reveal Math Grade 6 Goal Tracker 6.EE.3

Reveal Math Grade 6 Bonus Check 6.EE.3

🎯 I can use the commutative, associative, and identity properties to rewrite expressions.

🎵 MUSIC STUDIO

Bonus Exit Check

📝 QUICK CHECK

❓ Ask: Optional for early finishers.

⏱️ Time: 2 min

Which property is shown? 47 + 0 = 47

✍️ Show Your Work

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

Teacher reveal: Adding 0 does not change the value, so this is the Identity Property of Addition.

Reveal Math Grade 6 Reflection 6.EE.3

🎵 MUSIC STUDIO

Reflection & Self-Assessment

3 Things I learned:

2 Connections:

1 Question:

Self-Assessment:

Reveal Math Grade 6 Digital Activity 6.EE.3

🎵 MUSIC STUDIO

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.EE.3

🎵 MUSIC STUDIO

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.EE.3

🎵 MUSIC STUDIO

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 name the commutative property and explain that 3 + 5 + 2 gives 10 in any order because reordering addends does not change the sum.

• A strong answer connects commutative to changed order and associative to changed parentheses (grouping), noting both keep the same value.

• Students name both the commutative and associative properties, compute 4 × 25 = 100, and explain pairing to a friendly number makes the mental math easier (100 × 17 = 1700).

• Listen for students naming a specific strategy tied to 6.EE.3 — not just "I multiplied." They should connect steps to the key idea.

Common mistake: A common mistake in Properties of Operations is skipping the key idea: "Changing the order or the grouping of numbers being added or multiplied does not change the answer." — always check your work against this rule before you submit.

Reveal Math Grade 6 Answer Key 6.EE.3

🎵 MUSIC STUDIO

Answer Key (Teacher Appendix)

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

✓ Practice 1: Commutative Property — The order of the addends changed, so this is the Commutative Property of Addition.

✓ Practice 2: Associative Property — The grouping (parentheses) changed but the order stayed the same, so this is the Associative Property of Multiplication.

✓ Practice 3: Identity Property — Adding 0 does not change the value, so this is the Identity Property of Addition.

✓ Practice 4: Commutative Property — Changing the order of factors is the Commutative Property of Multiplication.

✓ Exit ticket: Associative Property — The grouping (parentheses) changed but the numbers stayed in the same order, so this is the Associative Property of Addition.