Neft Teacher Unit 5

📐

Area of Composite Figures

6.G.1 Lesson 5-5

My Math Notebook

Name:

Date:

Period:

I Can…

I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

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

📐 ARCHITECTURE FIRM

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.1

🎯 Content Objective / Objetivo de contenido

I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

Reveal Math Grade 6 Agenda 6.G.1

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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.1

⏱️ 3 MIN · THINK-PAIR-SHARE

The L-shaped room splits into a 12 ft by 8 ft rectangle and a 6 ft by 5 ft rectangle. Why is it easier to find the area after you decompose the L into two rectangles?

composite figuredecomposeaddsubtractformula

Reveal Math Grade 6 CFU 1 6.G.1

📐 ARCHITECTURE FIRM

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.1

Visual Prompt

Blueprint Review

Your architecture firm is calculating the floor area of an L-shaped room for a client's new home. The contractor needs the total area to order the correct amount of flooring. The room can be split into two rectangles: one is 12 feet by 8 feet and the other is 6 feet by 5 feet.

👁 I Notice...

🔹 What does the shape of the room look like?

🔹 Can you see simpler shapes inside the L-shape?

🔹 What measurements are given for each part?

💭 I Wonder...

🔹 Is there more than one way to split this shape into rectangles?

🔹 Could you use subtraction instead of addition to find the area?

Reveal Math Grade 6 Concept Launch 6.G.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

Concept Launch

💡 How do we find the area of a composite figure?

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

A composite figure is a shape made of two or more simple shapes joined together. We decompose it into basic shapes, find each area, then add or subtract.

Key Idea:

Break the figure into simple shapes. ADD the areas when shapes are joined; SUBTRACT when a piece is cut out.

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

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

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

Reveal Math Grade 6 CFU 2 6.G.1

📐 ARCHITECTURE FIRM

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.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

Now it's your turn

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

⏱️ Time: 5 min

1Next you will find areas for an L-shape, a T-shape, and a U-shaped pool with a cutout.

2Remember: add joined pieces, but subtract a piece that is cut out.

🎮

Open the interactive HTML activity for full practice.

Launch Activity ↗

📚

Lesson Phase

VOCABULARY

⏱ ~8 min

Reveal Math Grade 6 Vocabulary 6.G.1

Term / Término	Meaning / Significado	Visual
Composite Figure Figura compuesta	A shape made by putting two or more simple shapes together. Una figura formada al juntar dos o más figuras simples.	An L-shaped room = a 12×8 rectangle joined to a 6×5 rectangle; total area = 96 + 30 = 126 sq ft
Decompose Descomponer	To break a shape into smaller, simpler shapes. Separar una figura en figuras más pequeñas y simples.	Draw a dashed line across the L-shape to split it into two rectangles — now you can find each area separately
Add Sumar	Add up the areas of the smaller shapes to get the total. Sumar las áreas de las figuras pequeñas para obtener el total.	T-shaped hallway: top rectangle = 30 sq ft, bottom rectangle = 28 sq ft → total = 30 + 28 = 58 sq ft
Subtract Restar	Take away the area of a missing piece from a bigger shape. Quitar el área de una parte que falta de una figura más grande.	A 14×10 pool with a 6×4 cutout: 140 − 24 = 116 sq ft of water surface
Formula Fórmula	A math rule written with symbols. Una regla matemática escrita con símbolos.	Rectangle: A = l × w; Triangle: A = ½ × b × h; use the right formula for each piece of a composite figure

Composite Figure: example vs. non-example

✓ An L-shaped room made of two rectanglesIt is built from two basic shapes.

✗ A single squareOne basic shape alone is not composite.

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

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

Which Word Fits?

❓ CLOZE POLL

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

A shape made of two or more basic shapes combined is a ___.

Use It In a Sentence

Reveal Math Grade 6 CFU 3 6.G.1

📐 ARCHITECTURE FIRM

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.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

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 L-shaped room splits into a 12 ft by 8 ft rectangle and a 6 ft by 5 ft rectangle. Why is it easier to find the area after you decompose the L into two rectangles?

Sentence starters (tap to use):

✍️ We decompose the L-shape into ___ because ___.Descomponemos la forma de L en ___ porque ___.

✍️ After I split it, I can find each area using ___.Después de dividirla, puedo hallar cada área usando ___.

Stretch further:

➕ Another way to split it is ___, which gives ___ + ___.

➕ Both ways give the same total because ___.

WORD BANK:

composite figuredecomposeaddsubtractformula

90s

👂 Listen For

Students explain that the L-shape is hard to measure directly, so breaking it into two rectangles lets them use A = l x w on each piece and add the results.

Extend: The wonder prompt asks if there is more than one way to split the L. Show a different decomposition and justify why both give the same total area.

🔍

Lesson Phase

EXPLORE & PRACTICE

⏱ ~18 min

Reveal Math Grade 6 Visual Model 6.G.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

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.1

📐 ARCHITECTURE FIRM

Explore Activity

Break each composite figure into simpler shapes. Find the area of each part, then calculate the total area.

addsubtractdecomposerectanglecutoutcompositetotal

✍️ Explore Discourse

For the U-shaped pool, why did we subtract instead of add? When do you add areas and when do you subtract?

I ___ the areas because the composite figure is made by ___ a piece from a larger shape, so the total area is ___ - ___ = ___ square feet.

Reveal Math Grade 6 Whiteboard CFU 6.G.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

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.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

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 U-shaped pool you subtracted a 6 ft by 4 ft cutout from a 14 ft by 10 ft rectangle. How do you decide when to ADD areas and when to SUBTRACT?

Sentence starters (tap to use):

✍️ I broke the figure into ___.Dividí la figura en ___.

✍️ I subtracted the areas because a piece was ___, so 140 minus 24 equals ___.Resté las áreas porque una parte fue ___, entonces 140 menos 24 es ___.

✍️ I add areas when ___, but I subtract when ___.Sumo áreas cuando ___, pero resto cuando ___.

Stretch further:

➕ I could add by splitting the pool into ___, which gives ___.

➕ Both strategies match because ___.

WORD BANK:

composite figuredecomposeaddsubtractcutout

90s

👂 Listen For

A strong answer states you subtract when a piece is cut out (pool = 140 - 24 = 116 sq ft) and add when shapes are joined, with a clear reason for each.

Extend: Could you find the U-shaped pool's area by ADDING rectangles instead of subtracting a cutout? Justify whether both strategies reach the same answer.

Reveal Math Grade 6 Practice A 6.G.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

Practice Check A

📝 QUICK CHECK

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

⏱️ Time: 2 min

An L-shaped room is made of two rectangles: 10 ft × 6 ft and 4 ft × 3 ft. What is the total area?

✍️ Show Your Work

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

Teacher reveal: Area 1 = 10 × 6 = 60 sq ft. Area 2 = 4 × 3 = 12 sq ft. Total = 60 + 12 = 72 sq ft.

Reveal Math Grade 6 Practice B 6.G.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

Practice Check B

📝 QUICK CHECK

❓ Ask: Partner discussion first, then vote.

⏱️ Time: 2 min

A rectangular patio is 15 ft × 10 ft with a 5 ft × 4 ft rectangular flower bed cut out. What is the remaining area?

✍️ Show Your Work

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

Teacher reveal: Patio = 15 × 10 = 150 sq ft. Cutout = 5 × 4 = 20 sq ft. Remaining = 150 − 20 = 130 sq ft.

Reveal Math Grade 6 Area Grid Shading 6.G.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

Area Grid Shading

📐 GRID SHADE

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

⏱️ Time: 5 min

✍️ Justify Your Thinking

Reveal Math Grade 6 Sort It Out 6.G.1

Calculate each composite figure's area. Sort by whether the area is more than 100 sq ft or not.

Card Bank — cut or drag these cards:

⠿L-shape: 12×8 + 6×5 = 126 sq ft

⠿T-shape: 10×3 + 4×7 = 58 sq ft

⠿Wall 15×10 − window 5×4 = 130 sq ft

⠿L-shape: 9×7 + 3×4 = 75 sq ft

⠿Floor 20×8 − vent 6×3 = 142 sq ft

⠿U-shape: 10×8 − 4×3 = 68 sq ft

Area > 100 sq ft

Area ≤ 100 sq ft

Reveal Math Grade 6 Error Analysis 6.G.1

⚠ Find the 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 Identify the shapes Rectangle: 16 ft × 10 ft, with a 4 ft × 6 ft piece cut from the corner

2 Find the large rectangle area A = 16 × 10 = 160 sq ft

3 Find the cutout area A = 4 × 6 = 24 sq ft

4 Find total area Total = 160 + 24 = 184 sq ft

Which step has the error?

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

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

Frame 1 Explain the Rule

Today's key idea is: "Break the figure into simple shapes. ADD the areas when shapes are joined; SUBTRACT when a piece is cut out." — and it works because ___.

Frame 2 Because / But / So

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

Frame 3 Catch the Mistake

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

Frame 4 Prove It

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

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

✍️ TWR · WRITE 3 SENTENCES · 7 MIN

Sentence kernelBreak the figure into simple shapes. ADD the areas when shapes are joined; SUBTRACT when a piece is cut out.

because

Give a reason

Break the figure into simple shapes. ADD the areas when shapes are joined; SUBTRACT when a piece is cut out. because ___

but

Name a tricky part

Break the figure into simple shapes. ADD the areas when shapes are joined; SUBTRACT when a piece is cut out. but ___

so

State what it means

Break the figure into simple shapes. ADD the areas when shapes are joined; SUBTRACT when a piece is cut out. so ___

Reveal Math Grade 6 Sentence Expansion 6.G.1

🌱 TWR · GROW THE KERNEL · 6 MIN

Sentence kernelToday we used Composite Figure.

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.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

Student Workspace

📊 FILL THE TABLE

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

⏱️ Time: 5 min

Break each composite figure into simpler shapes. Find the area of each part, then calculate the total area.

Composite Figure	Shape 1	Shape 2
L-shaped room	Rectangle: 12 ft x 8 ft	Rectangle: 6 ft x 5 ft
T-shaped hallway	Rectangle: 10 ft x 3 ft	Rectangle: 4 ft x 7 ft
U-shaped pool	Rectangle: 14 ft x 10 ft	Cutout: 6 ft x 4 ft (subtract)

✏️ Sketch Your Strategy

Reveal Math Grade 6 Differentiation 6.G.1

📐 ARCHITECTURE FIRM

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

An L-shaped room is made of two rectangles: 10 ft × 6 ft and 4 ft × 3 ft. What is the total area?

🎯 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.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

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.1

📐 ARCHITECTURE FIRM

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.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

Real-World Connection

🌍 Math in the Wild

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

An architect is ordering carpet for a T-shaped conference room. The top of the T is 14 feet by 4 feet and the stem is 6 feet by 10 feet. Carpet costs $5 per square foot.

5660116580addrectanglecompositearea

✍️ Connection Reasoning

How much will the carpet cost?

The top area is ___ sq ft and the stem area is ___ sq ft. Total = ___ + ___ = ___ sq ft. Cost = ___ x $5 = $___.

Reveal Math Grade 6 Discuss Connect 6.G.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

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

The T-shaped conference room has a top of 14 ft by 4 ft and a stem of 6 ft by 10 ft, and carpet costs $5 per sq ft. Talk through finding the total cost.

Sentence starters (tap to use):

✍️ The top area is ___ square feet and the stem area is ___ square feet.El área de arriba es ___ pies cuadrados y el área del tronco es ___ pies cuadrados.

✍️ I added the areas to get ___ square feet.Sumé las áreas para obtener ___ pies cuadrados.

✍️ The cost is ___ times $5, which equals $___.El costo es ___ por $5, que es $___.

Stretch further:

➕ I would find the rectangle area with ___ and the triangle area with ___.

➕ Then I ___ the areas because ___.

WORD BANK:

composite figuredecomposeaddsubtractformula

90s

👂 Listen For

Students compute top = 56 sq ft, stem = 60 sq ft, total = 116 sq ft, and cost = 116 x $5 = $580, explaining the add-then-multiply order.

Extend: A house-shaped wall is a rectangle topped with a triangle. Explain how composite-figure thinking handles a figure made of two DIFFERENT shape types, not just rectangles.

✅

Lesson Phase

CLOSURE & REFLECT

⏱ ~8 min

Reveal Math Grade 6 Exit Ticket 6.G.1

Reflection

Today I learned that ___ because ___.

One thing I am still not sure about is ___.

Quick Exit Ticket

A composite figure is made of a 9 ft x 7 ft rectangle and a 3 ft x 4 ft rectangle joined together. What is the total area?

Reveal Math Grade 6 Goal Tracker 6.G.1

Reveal Math Grade 6 Bonus Check 6.G.1

🎯 I can find the area of a composite figure by adding or subtracting the areas of basic shapes.

📐 ARCHITECTURE FIRM

Bonus Exit Check

📝 QUICK CHECK

❓ Ask: Optional for early finishers.

⏱️ Time: 2 min

Find the area of an L-shape made of a 5×3 rectangle and a 2×4 rectangle.

✍️ Show Your Work

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

Teacher reveal: 5 × 3 = 15. 2 × 4 = 8. Total = 15 + 8 = 23 sq units.

Reveal Math Grade 6 Reflection 6.G.1

📐 ARCHITECTURE FIRM

Reflection & Self-Assessment

3 Things I learned:

2 Connections:

1 Question:

Self-Assessment:

Reveal Math Grade 6 Digital Activity 6.G.1

📐 ARCHITECTURE FIRM

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.1

📐 ARCHITECTURE FIRM

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.1

📐 ARCHITECTURE FIRM

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 L-shape is hard to measure directly, so breaking it into two rectangles lets them use A = l x w on each piece and add the results.

• A strong answer states you subtract when a piece is cut out (pool = 140 - 24 = 116 sq ft) and add when shapes are joined, with a clear reason for each.

• Students compute top = 56 sq ft, stem = 60 sq ft, total = 116 sq ft, and cost = 116 x $5 = $580, explaining the add-then-multiply order.

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

Common mistake: A common mistake in Area of Composite Figures is skipping the key idea: "Break the figure into simple shapes. ADD the areas when shapes are joined; SUBTRACT when a piece is cut out." — always check your work against this rule before you submit.

Reveal Math Grade 6 Answer Key 6.G.1

📐 ARCHITECTURE FIRM

Answer Key (Teacher Appendix)

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

✓ Practice 1: 72 sq ft — Area 1 = 10 × 6 = 60 sq ft. Area 2 = 4 × 3 = 12 sq ft. Total = 60 + 12 = 72 sq ft.

✓ Practice 2: 130 sq ft — Patio = 15 × 10 = 150 sq ft. Cutout = 5 × 4 = 20 sq ft. Remaining = 150 − 20 = 130 sq ft.

✓ Practice 3: 23 sq units — 5 × 3 = 15. 2 × 4 = 8. Total = 15 + 8 = 23 sq units.

✓ Practice 4: When a piece is cut out or removed from a larger shape — Subtract when a piece is removed from a larger shape (like a window cut from a wall). Add when two shapes are joined together (like an L-shape).

✓ Exit ticket: 75 sq ft — Area 1 = 9 x 7 = 63 sq ft. Area 2 = 3 x 4 = 12 sq ft. Total = 63 + 12 = 75 square feet.