Neft Teacher Unit 10

📦

Surface Area of Prisms

6.G.4 Lesson 10-4

My Math Notebook

Name:

Date:

Period:

I Can…

I can find the surface area of rectangular and triangular prisms.

Reveal Math Grade 6 How to Use 6.G.4

📦 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.4

🎯 Content Objective / Objetivo de contenido

I can find the surface area of rectangular and triangular prisms.

Reveal Math Grade 6 Agenda 6.G.4

📦 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.4

⏱️ 3 MIN · THINK-PAIR-SHARE

Your class is painting two capsule shapes: a rectangular prism and a triangular prism. How is finding the surface area of each shape the same, and how is it different?

surface arearectangular prismtriangular prismfacelateral face

Reveal Math Grade 6 CFU 1 6.G.4

📦 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.4

Visual Prompt

Time Capsule Project

Your class is painting the outside of different time capsule shapes to protect them from weather. Some capsules are rectangular prisms and others are triangular prisms (wedge-shaped). To buy the right amount of paint, you need to calculate the surface area of each shape!

👁 I Notice...

🔹 How many faces does a rectangular prism have? A triangular prism?

🔹 What shapes make up the faces of a triangular prism?

🔹 How is finding surface area different from finding volume?

💭 I Wonder...

🔹 Which shape uses more paint — a rectangular or triangular prism of similar size?

🔹 Why does surface area use square units instead of cubic units?

Reveal Math Grade 6 Concept Launch 6.G.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 TIME CAPSULE

Concept Launch

💡 How do we find the surface area of a prism?

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

Surface area is the total area of all the faces of a solid. A rectangular prism has 6 faces; a triangular prism has 5 faces (2 triangles + 3 rectangles). Add every face to get the total.

Key Idea:

No matter the prism, find the area of every face and add them all together.

Reveal Math Grade 6 I Do — Watch Me 6.G.4

Reveal Math Grade 6 I Do — Key Step 6.G.4

Reveal Math Grade 6 We Do — Together 6.G.4

Reveal Math Grade 6 CFU 2 6.G.4

📦 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.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 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 total surface area of each capsule, whether it is rectangular or triangular.

2Add up every face and write your answer in square units.

🎮

Open the interactive HTML activity for full practice.

Launch Activity ↗

📚

Lesson Phase

VOCABULARY

⏱ ~8 min

Reveal Math Grade 6 Vocabulary 6.G.4

Term / Término	Meaning / Significado	Visual
Surface area Área de superficie	The total area of all the flat sides of a solid. El área total de todos los lados planos de un sólido.	Paint every outside surface of a box — the total painted area is the surface area
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 box with 6 flat rectangle sides: top, bottom, front, back, left, right
Triangular prism Prisma triangular	A solid with two triangle ends and three flat rectangle sides. Un sólido con dos extremos triangulares y tres lados rectangulares.	Shaped like a tent or a wedge of cheese — 2 triangle ends + 3 rectangle sides
Face Cara	One flat side of a solid shape. Un lado plano de una figura sólida.	A triangular prism has 5 faces: 2 triangles + 3 rectangles
Net Plantilla (desarrollo plano)	A flat shape that folds up into a solid. Una figura plana que se dobla y forma un sólido.	Unfold a triangular prism flat: you see 2 triangles and 3 rectangles side by side
Lateral face Cara lateral	The side faces of a solid, not the top or bottom. Los lados de un sólido, no la parte de arriba ni la de abajo.	On a triangular prism, the 3 rectangles that wrap around the sides are lateral faces

Triangular prism: example vs. non-example

✓ A tent shape with triangle endsIt has two triangular faces and three rectangular faces.

✗ A cubeA cube has six square faces, no triangles.

Reveal Math Grade 6 Which Word? 6.G.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 TIME CAPSULE

Which Word Fits?

❓ CLOZE POLL

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

The total area of all the faces of a solid is its ___.

Use It In a Sentence

Reveal Math Grade 6 CFU 3 6.G.4

📦 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.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 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 class is painting two capsule shapes: a rectangular prism and a triangular prism. How is finding the surface area of each shape the same, and how is it different?

Sentence starters (tap to use):

✍️ Both surface areas are found by adding the areas of all the ___.Ambas áreas de superficie se hallan sumando las áreas de todas las ___.

✍️ A rectangular prism has ___ faces, but a triangular prism has ___ faces.Un prisma rectangular tiene ___ caras, pero un prisma triangular tiene ___ caras.

Stretch further:

➕ Surface area uses square units because it measures ___.

➕ Volume uses cubic units because it measures ___.

WORD BANK:

surface arearectangular prismtriangular prismfacelateral face

90s

👂 Listen For

Students explain both methods add up all face areas, but a rectangular prism has 6 rectangular faces while a triangular prism has 5 faces (2 triangles + 3 rectangles).

Extend: Why does surface area use square units while volume uses cubic units? Justify with what each measurement counts.

🔍

Lesson Phase

EXPLORE & PRACTICE

⏱ ~18 min

Reveal Math Grade 6 Visual Model 6.G.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 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.4

📦 TIME CAPSULE

Explore Activity

Calculate the surface area of each time capsule shape. For rectangular prisms, use SA = 2lw + 2lh + 2wh. For triangular prisms, find the area of each face and add them up.

24818465facesrectangulartriangularsurface areamorepaint

✍️ Explore Discourse

Compare Capsule A (rectangular, SA = 248 in²) and Capsule C (triangular, SA = 184 in²). Even though they are similar in size, why does the rectangular prism need more paint?

The rectangular prism has ___ faces while the triangular prism has ___ faces. The rectangular prism's SA is ___ in² which is ___ more than the triangular prism's ___ in² because ___.

Reveal Math Grade 6 Whiteboard CFU 6.G.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 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.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 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

For the triangular prism (base 6, height 4, length 10, slant sides 5), how did you account for the triangular bases AND the rectangular lateral faces?

Sentence starters (tap to use):

✍️ The two triangular bases together are 2 × (½ × 6 × 4) = ___.Las dos bases triangulares juntas son 2 × (½ × 6 × 4) = ___.

✍️ The three lateral faces add to ___, so the total surface area is ___.Las tres caras laterales suman ___, así que el área total de superficie es ___.

Stretch further:

➕ The rectangular prism needs more paint because it has ___ faces and ___.

➕ Even at a similar size, the triangular prism uses less because ___.

WORD BANK:

surface areatriangular prismlateral facefacenet

90s

👂 Listen For

Students compute the two triangle bases (24 in²) and the three rectangles (60 + 50 + 50 = 160 in²), totaling SA = 184 in², and distinguish bases from lateral faces.

Extend: Compare the rectangular capsule (SA = 248 in²) with the similar triangular capsule (SA = 184 in²). Why does the rectangular one need more paint?

Reveal Math Grade 6 Practice A 6.G.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 TIME CAPSULE

Practice Check A

📝 QUICK CHECK

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

⏱️ Time: 2 min

A triangular prism has triangular bases with base 6 in and height 4 in. The prism is 10 in long and the two slant sides of the triangle are each 5 in. What is the surface area?

✍️ Show Your Work

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

Teacher reveal: Triangular bases: 2 × (½ × 6 × 4) = 24 in². Three rectangular faces: 6(10) + 5(10) + 5(10) = 60 + 50 + 50 = 160 in². SA = 24 + 160 = 184 in².

Reveal Math Grade 6 Practice B 6.G.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 TIME CAPSULE

Practice Check B

📝 QUICK CHECK

❓ Ask: Partner discussion first, then vote.

⏱️ Time: 2 min

What is the surface area of a rectangular prism with l = 5 cm, w = 4 cm, h = 3 cm?

✍️ Show Your Work

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

Teacher reveal: SA = 2(5×4) + 2(5×3) + 2(4×3) = 40 + 30 + 24 = 94 cm².

Reveal Math Grade 6 Net Fold Explorer 6.G.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 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.4

Sort each label into the correct box.

Card Bank — cut or drag these cards:

Least → Greatest surface area

Reveal Math Grade 6 Error Analysis 6.G.4

⚠ Find the Surface Area 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 Rectangular prism: l = 12 cm, w = 7 cm, h = 5 cm

2 Formula SA = 2lw + 2lh + 2wh

3 Calculate SA = 2(12×7) + 2(12×5) + 2(7×5) = 168 + 120 + 35 = 323 cm²

4 Answer Surface Area = 323 cm²

Which step has the error?

Reveal Math Grade 6 Choice Board 6.G.4

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.4

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

Frame 1 Explain the Rule

Today's key idea is: "No matter the prism, find the area of every face and add them all together." — and it works because ___.

Frame 2 Because / But / So

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

Frame 3 Catch the Mistake

A common mistake with Surface area 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.4

✍️ TWR · WRITE 3 SENTENCES · 7 MIN

Sentence kernelNo matter the prism, find the area of every face and add them all together.

because

Give a reason

No matter the prism, find the area of every face and add them all together. because ___

but

Name a tricky part

No matter the prism, find the area of every face and add them all together. but ___

so

State what it means

No matter the prism, find the area of every face and add them all together. so ___

Reveal Math Grade 6 Sentence Expansion 6.G.4

🌱 TWR · GROW THE KERNEL · 6 MIN

Sentence kernelToday we used Surface area.

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.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 TIME CAPSULE

Student Workspace

📊 FILL THE TABLE

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

⏱️ Time: 5 min

Calculate the surface area of each time capsule shape. For rectangular prisms, use SA = 2lw + 2lh + 2wh. For triangular prisms, find the area of each face and add them up.

Capsule	Shape	Dimensions	Face Areas
Capsule A	Rectangular	l=10, w=6, h=4 (in)	2(60)+2(40)+2(24)
Capsule B	Rectangular	l=8, w=5, h=3 (in)	2(40)+2(24)+2(15)
Capsule C	Triangular	base=6, height=4, length=10, sides=5 (in)	2(½×6×4)+6(10)+5(10)+5(10)
Capsule D	Triangular	base=8, height=3, length=12, sides=5 (in)	2(½×8×3)+8(12)+5(12)+5(12)

✏️ Sketch Your Strategy

Reveal Math Grade 6 Differentiation 6.G.4

📦 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 surface area of a rectangular prism with l = 5 cm, w = 4 cm, h = 3 cm?

🎯 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.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 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.4

📦 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.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 TIME CAPSULE

Real-World Connection

🌍 Math in the Wild

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

A carpenter builds wooden storage chests. A rectangular chest is 3 feet long, 2 feet wide, and 2 feet tall. Wood stain covers 50 square feet per can.

3232121281stainsurface area

✍️ Connection Reasoning

How much surface area needs staining, and how many cans of stain are needed?

The chest's SA is ___ ft² because SA = 2(___×___) + 2(___×___) + 2(___×___) = ___ + ___ + ___ = ___. You need ___ can(s) because ___ ÷ 50 = ___.

Reveal Math Grade 6 Discuss Connect 6.G.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 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 carpenter stains a chest that is 3 ft × 2 ft × 2 ft, and one can covers 50 ft². Talk through how to find the surface area and how many cans are needed.

Sentence starters (tap to use):

✍️ The chest's surface area is ___ ft² because SA = 2(3×2) + 2(3×2) + 2(2×2).El área de superficie del cofre es ___ ft² porque SA = 2(3×2) + 2(3×2) + 2(2×2).

✍️ The carpenter needs ___ can(s) because ___ ÷ 50 = ___.El carpintero necesita ___ lata(s) porque ___ ÷ 50 = ___.

Stretch further:

➕ Leaving the lid unstained changes the surface area by ___ because ___.

➕ I would subtract ___ from the total because ___.

WORD BANK:

surface arearectangular prismfacelateral facenet

90s

👂 Listen For

Students compute SA = 12 + 12 + 8 = 32 ft², then 32 ÷ 50 < 1, and reason that 1 can is enough since the surface area is under 50 ft².

Extend: If the chest had a lid that does not get stained, how would that change the surface area you calculate? Explain.

✅

Lesson Phase

CLOSURE & REFLECT

⏱ ~8 min

Reveal Math Grade 6 Exit Ticket 6.G.4

Reflection

Today I learned that ___ because ___.

One thing I am still not sure about is ___.

Quick Exit Ticket

A rectangular prism has l = 8 ft, w = 6 ft, h = 3 ft. What is the surface area?

Reveal Math Grade 6 Goal Tracker 6.G.4

Reveal Math Grade 6 Bonus Check 6.G.4

🎯 I can find the surface area of rectangular and triangular prisms.

📦 TIME CAPSULE

Bonus Exit Check

📝 QUICK CHECK

❓ Ask: Optional for early finishers.

⏱️ Time: 2 min

How many faces does a triangular prism have?

✍️ Show Your Work

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

Teacher reveal: A triangular prism has 5 faces: 2 triangular bases and 3 rectangular lateral faces.

Reveal Math Grade 6 Reflection 6.G.4

📦 TIME CAPSULE

Reflection & Self-Assessment

3 Things I learned:

2 Connections:

1 Question:

Self-Assessment:

Reveal Math Grade 6 Digital Activity 6.G.4

📦 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.4

📦 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.4

📦 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 both methods add up all face areas, but a rectangular prism has 6 rectangular faces while a triangular prism has 5 faces (2 triangles + 3 rectangles).

• Students compute the two triangle bases (24 in²) and the three rectangles (60 + 50 + 50 = 160 in²), totaling SA = 184 in², and distinguish bases from lateral faces.

• Students compute SA = 12 + 12 + 8 = 32 ft², then 32 ÷ 50 < 1, and reason that 1 can is enough since the surface area is under 50 ft².

• Students notice the missing '2' on the last pair, compute 2(7×5) = 70, and correct the total to 168 + 120 + 70 = 358 cm².

Common mistake: A common mistake in Surface Area of Prisms is skipping the key idea: "No matter the prism, find the area of every face and add them all together." — always check your work against this rule before you submit.

Reveal Math Grade 6 Answer Key 6.G.4

📦 TIME CAPSULE

Answer Key (Teacher Appendix)

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

✓ Practice 1: 184 in² — Triangular bases: 2 × (½ × 6 × 4) = 24 in². Three rectangular faces: 6(10) + 5(10) + 5(10) = 60 + 50 + 50 = 160 in². SA = 24 + 160 = 184 in².

✓ Practice 2: 94 cm² — SA = 2(5×4) + 2(5×3) + 2(4×3) = 40 + 30 + 24 = 94 cm².

✓ Practice 3: 5 — A triangular prism has 5 faces: 2 triangular bases and 3 rectangular lateral faces.

✓ Practice 4: 134 cm² — SA = 2(12) + 30 + 40 + 40 = 24 + 110 = 134 cm².

✓ Exit ticket: 180 ft² — SA = 2(8×6) + 2(8×3) + 2(6×3) = 96 + 48 + 36 = 180 ft². Surface area uses square units (ft²).