Neft Teacher Unit 10

📦

Volume of Rectangular Prisms

6.G.2 Lesson 10-2

My Math Notebook

Name:

Date:

Period:

I Can…

I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

Reveal Math Grade 6 How to Use 6.G.2

📦 TIME CAPSULE

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.G.2

🎯 Content Objective / Objetivo de contenido

I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

Reveal Math Grade 6 Agenda 6.G.2

📦 TIME CAPSULE

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.G.2

⏱️ 3 MIN · THINK-PAIR-SHARE

Your time capsule is 2 ft long, 1.5 ft wide, and 1 ft tall — one edge is a fraction. Does having a fractional edge change how you find the volume? Why or why not?

volumedimensionsrectangular prismbase areacubic units

Reveal Math Grade 6 CFU 1 6.G.2

📦 TIME CAPSULE

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.G.2

Visual Prompt

Time Capsule Project

Your class is building a time capsule to bury on school grounds. The capsule is a rectangular prism that is 2 feet long, 1.5 feet wide, and 1 foot tall. You need to figure out how much stuff can fit inside — that means calculating the volume!

👁 I Notice...

🔹 What are the three measurements of the time capsule?

🔹 What does volume measure — length, area, or space inside?

🔹 How is volume different from area?

💭 I Wonder...

🔹 What if we made the capsule taller but narrower — would the volume change?

🔹 What units do we use for volume versus area?

Reveal Math Grade 6 Concept Launch 6.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

Concept Launch

💡 How do we find volume when an edge is a fraction?

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

Volume is the space inside a box. The rule V = length × width × height stays the same even when one edge is a fraction or decimal. You can also use volume = base area × height.

Key Idea:

A fractional edge does not change the rule: still multiply length × width × height.

Reveal Math Grade 6 I Do — Watch Me 6.G.2

Reveal Math Grade 6 I Do — Key Step 6.G.2

Reveal Math Grade 6 We Do — Together 6.G.2

Reveal Math Grade 6 CFU 2 6.G.2

📦 TIME CAPSULE

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.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

Now it's your turn

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

⏱️ Time: 5 min

1In the table below, find the volume of each capsule design using V = length × width × height.

2Some edges are fractions or decimals — use the same steps and write your answer in ft³.

🎮

Open the interactive HTML activity for full practice.

Launch Activity ↗

📚

Lesson Phase

VOCABULARY

⏱ ~8 min

Reveal Math Grade 6 Vocabulary 6.G.2

Term / Término	Meaning / Significado	Visual
Volume Volumen	How much space is inside a solid shape. Cuánto espacio hay dentro de una figura sólida.	A box 2 × 1.5 × 1 = 3 ft³ — it holds 3 cubic feet of stuff
Rectangular prism Prisma rectangular	A solid box shape with six flat rectangle sides. Una figura sólida en forma de caja con seis lados rectangulares.	A tissue box, a fish tank, a brick — all rectangular prisms
Cubic units Unidades cúbicas	The units used to measure space inside, like cubic inches. Las unidades para medir el espacio interior, como pulgadas cúbicas.	1 ft³ = a cube that is 1 foot on every edge
Dimensions Dimensiones	How long, how wide, and how tall a shape is. Qué tan largo, ancho y alto es una figura.	A box with dimensions 4 × 3 × 2 means l = 4, w = 3, h = 2
Net Plantilla (desarrollo plano)	A flat shape that folds up into a solid. Una figura plana que se dobla y forma un sólido.	Cut a cereal box along its edges, unfold it flat — that is the net
Base area Área de la base	The area of the bottom of a solid. Volume = base area × height. El área del fondo de un sólido. Volumen = área de la base × altura.	If the base is 6 × 4 = 24 cm² and h = 3, then V = 24 × 3 = 72 cm³

Reveal Math Grade 6 Which Word? 6.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

Which Word Fits?

❓ CLOZE POLL

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

The amount of space inside a three-dimensional solid is its ___.

Use It In a Sentence

Reveal Math Grade 6 CFU 3 6.G.2

📦 TIME CAPSULE

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.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

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

Your time capsule is 2 ft long, 1.5 ft wide, and 1 ft tall — one edge is a fraction. Does having a fractional edge change how you find the volume? Why or why not?

Sentence starters (tap to use):

✍️ A fractional edge ___ change the method because I still multiply ___ × ___ × ___.Una arista fraccionaria ___ cambia el método porque sigo multiplicando ___ × ___ × ___.

✍️ The volume of the capsule is ___ ft³.El volumen de la cápsula es ___ ft³.

Stretch further:

➕ Base area × height gives the same volume because base area is ___.

➕ First I find the base area ___ × ___ = ___, then multiply by the height ___.

WORD BANK:

volumedimensionsrectangular prismbase areacubic units

90s

👂 Listen For

Students explain the formula stays the same (V = l × w × h = 2 × 1.5 × 1 = 3 ft³) and that a fractional edge just means multiplying with a fraction or decimal.

Extend: How could you use base area × height to find the same volume, and why does that give the same answer as l × w × h?

🔍

Lesson Phase

EXPLORE & PRACTICE

⏱ ~18 min

Reveal Math Grade 6 Visual Model 6.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

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.G.2

📦 TIME CAPSULE

Explore Activity

Calculate the volume of each possible time capsule design. Use V = l × w × h.

3volumesamedifferentdimensionsshapelengthwidthheight

✍️ Explore Discourse

Capsules A and B have the same volume (3 ft³) but different dimensions. Why? Which design would you choose and why?

Capsules A and B both have V = ___ because ___ × ___ × ___ = ___ × ___ × ___. I'd choose ___ because ___.

Reveal Math Grade 6 Whiteboard CFU 6.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

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.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

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

Capsule A (2 × 1.5 × 1) and Capsule B (3 × 1 × 1) both have a volume of 3 ft³. How did your multiplication produce the same volume from different dimensions?

Sentence starters (tap to use):

✍️ Both capsules have V = ___ ft³ because ___ × ___ × ___ = ___ × ___ × ___.Ambas cápsulas tienen V = ___ ft³ porque ___ × ___ × ___ = ___ × ___ × ___.

✍️ The dimensions are different but the ___ is the same.Las dimensiones son diferentes pero el ___ es el mismo.

Stretch further:

➕ I would choose Capsule ___ because its dimensions ___.

➕ Same volume does not mean same usefulness because ___.

WORD BANK:

volumedimensionsrectangular prismbase areacubic units

90s

👂 Listen For

Students show 2 × 1.5 × 1 = 3 and 3 × 1 × 1 = 3, and explain that the same product means equal volume even with different shapes.

Extend: If two capsules have the same volume but different dimensions, which would you choose to store long, flat objects, and why?

Reveal Math Grade 6 Practice A 6.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

Practice Check A

📝 QUICK CHECK

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

⏱️ Time: 2 min

Two boxes: Box A is 10 × 5 × 4 inches. Box B is 8 × 6 × 5 inches. Which has more volume and by how much?

✍️ Show Your Work

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

Teacher reveal: Box A: 10 × 5 × 4 = 200 in³. Box B: 8 × 6 × 5 = 240 in³. Box B is bigger by 40 in³.

Reveal Math Grade 6 Practice B 6.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

Practice Check B

📝 QUICK CHECK

❓ Ask: Partner discussion first, then vote.

⏱️ Time: 2 min

What is the volume of a prism with edge lengths 1/2 m, 3 m, and 4 m?

✍️ Show Your Work

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

Teacher reveal: V = 1/2 × 3 × 4 = 6 m³.

Reveal Math Grade 6 Net Fold Explorer 6.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

Net Fold Explorer

📦 NET FOLD

👨‍🎓 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.G.2

Sort each label into the correct box.

Card Bank — cut or drag these cards:

⠿FALSE: The pool volume is 96 ft³

⠿FALSE: The pool holds 400 ft³

⠿TRUE: The pool volume is 480 ft³

⠿TRUE: V = 12 × 8 × 5

Category A

Category B

Reveal Math Grade 6 Error Analysis 6.G.2

⚠ Find the Volume 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 Dimensions l = 5 m, w = 3 m, h = 2.5 m

2 Formula V = l × w × h

3 Calculate V = 5 × 3 × 2.5 = 5 × 5.5 = 27.5 m³

4 Answer Volume = 27.5 m³

Which step has the error?

Reveal Math Grade 6 Choice Board 6.G.2

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.G.2

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

Frame 1 Explain the Rule

Today's key idea is: "A fractional edge does not change the rule: still multiply length × width × height." — and it works because ___.

Frame 2 Because / But / So

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

Frame 3 Catch the Mistake

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

Frame 4 Prove It

I can prove my answer is correct by ___, using Rectangular prism to check my work.

Reveal Math Grade 6 Because · But · So 6.G.2

✍️ TWR · WRITE 3 SENTENCES · 7 MIN

Sentence kernelA fractional edge does not change the rule: still multiply length × width × height.

because

Give a reason

A fractional edge does not change the rule: still multiply length × width × height. because ___

but

Name a tricky part

A fractional edge does not change the rule: still multiply length × width × height. but ___

so

State what it means

A fractional edge does not change the rule: still multiply length × width × height. so ___

Reveal Math Grade 6 Sentence Expansion 6.G.2

🌱 TWR · GROW THE KERNEL · 6 MIN

Sentence kernelToday we used Volume.

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.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

Student Workspace

📊 FILL THE TABLE

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

⏱️ Time: 5 min

Calculate the volume of each possible time capsule design. Use V = l × w × h.

Design	Length (ft)	Width (ft)	Height (ft)
Capsule A	2	1.5	1
Capsule B	3	1	1
Capsule C	2	2	1.5
Capsule D	1.5	1.5	2

✏️ Sketch Your Strategy

Reveal Math Grade 6 Differentiation 6.G.2

📦 TIME CAPSULE

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 the volume of a rectangular prism with l = 4 in, w = 3 in, h = 5 in?

🎯 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.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

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.G.2

📦 TIME CAPSULE

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.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

Real-World Connection

🌍 Math in the Wild

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

An aquarium store sells fish tanks. A small tank is 24 inches long, 12 inches wide, and 16 inches tall. One gallon of water takes up about 231 cubic inches.

460824121620gallonsvolumecubic

✍️ Connection Reasoning

How many gallons of water does the small tank hold?

The tank's volume is ___ in³ because V = ___ × ___ × ___. It holds about ___ gallons because ___ ÷ 231 ≈ ___.

Reveal Math Grade 6 Discuss Connect 6.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

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

A fish tank is 24 in long, 12 in wide, and 16 in tall, and one gallon takes about 231 cubic inches. Talk through how you would find how many gallons it holds.

Sentence starters (tap to use):

✍️ The tank's volume is ___ in³ because 24 × 12 × 16 = ___.El volumen del tanque es ___ in³ porque 24 × 12 × 16 = ___.

✍️ It holds about ___ gallons because ___ ÷ 231 ≈ ___.Contiene unos ___ galones porque ___ ÷ 231 ≈ ___.

Stretch further:

➕ The answer is not exact because ___.

➕ To fill the tank safely I would round ___ because ___.

WORD BANK:

volumecubic unitsrectangular prismdimensionsbase area

90s

👂 Listen For

Students compute 4608 in³, then divide by 231 to get about 20 gallons, and explain that dividing converts cubic inches into gallons.

Extend: Why does the answer come out to about 20 gallons instead of an exact whole number, and how would you decide whether to round up or down for filling the tank?

✅

Lesson Phase

CLOSURE & REFLECT

⏱ ~8 min

Reveal Math Grade 6 Exit Ticket 6.G.2

Reflection

Today I learned that ___ because ___.

One thing I am still not sure about is ___.

Quick Exit Ticket

A rectangular prism has l = 7 ft, w = 2 ft, h = 3 ft. What is the volume?

Reveal Math Grade 6 Goal Tracker 6.G.2

Reveal Math Grade 6 Bonus Check 6.G.2

🎯 I can find the volume of a rectangular prism, including ones with fractional edge lengths, using base area × height.

📦 TIME CAPSULE

Bonus Exit Check

📝 QUICK CHECK

❓ Ask: Optional for early finishers.

⏱️ Time: 2 min

A cube has an edge length of 5 cm. What is its volume?

✍️ Show Your Work

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

Teacher reveal: A cube's volume is edge³ = 5 × 5 × 5 = 125 cm³.

Reveal Math Grade 6 Reflection 6.G.2

📦 TIME CAPSULE

Reflection & Self-Assessment

3 Things I learned:

2 Connections:

1 Question:

Self-Assessment:

Reveal Math Grade 6 Digital Activity 6.G.2

📦 TIME CAPSULE

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.G.2

📦 TIME CAPSULE

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.G.2

📦 TIME CAPSULE

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 the formula stays the same (V = l × w × h = 2 × 1.5 × 1 = 3 ft³) and that a fractional edge just means multiplying with a fraction or decimal.

• Students show 2 × 1.5 × 1 = 3 and 3 × 1 × 1 = 3, and explain that the same product means equal volume even with different shapes.

• Students compute 4608 in³, then divide by 231 to get about 20 gallons, and explain that dividing converts cubic inches into gallons.

• Students identify the added-instead-of-multiplied error, compute 3 × 2.5 = 7.5, and conclude the correct volume is 37.5 m³.

Common mistake: A common mistake in Volume of Rectangular Prisms is skipping the key idea: "A fractional edge does not change the rule: still multiply length × width × height." — always check your work against this rule before you submit.

Reveal Math Grade 6 Answer Key 6.G.2

📦 TIME CAPSULE

Answer Key (Teacher Appendix)

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

✓ Practice 1: Box B by 40 in³ — Box A: 10 × 5 × 4 = 200 in³. Box B: 8 × 6 × 5 = 240 in³. Box B is bigger by 40 in³.

✓ Practice 2: 6 m³ — V = 1/2 × 3 × 4 = 6 m³.

✓ Practice 3: 125 cm³ — A cube's volume is edge³ = 5 × 5 × 5 = 125 cm³.

✓ Practice 4: 60 in³ — V = l × w × h = 4 × 3 × 5 = 60 cubic inches.

✓ Exit ticket: 42 ft³ — V = 7 × 2 × 3 = 42 cubic feet. Remember: volume uses cubic units (ft³).