Neft Teacher Unit 5

📐

Area of Parallelograms

6.G.1 Lesson 5-1

My Math Notebook

Name:

Date:

Period:

I Can…

I can find the area of a parallelogram using base × height.

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 parallelogram using base × height.

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

Look at the patio blueprint with a base of 14 feet and a height of 9 feet. Why do we use the height (9 ft) and not the slanted side to find the area?

baseheightareaparallelogramformula

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 designing a parallelogram-shaped patio for a client's backyard. The client needs to know how many square feet of pavers to order. The patio has a base of 14 feet and a height of 9 feet.

👁 I Notice...

🔹 What shape is the patio?

🔹 What measurements are given?

🔹 How is a parallelogram different from a rectangle?

💭 I Wonder...

🔹 Why do we use the height instead of the slanted side to find the area?

🔹 Can you rearrange a parallelogram into a rectangle?

Reveal Math Grade 6 Concept Launch 6.G.1

🎯 I can find the area of a parallelogram using base × height.

📐 ARCHITECTURE FIRM

Concept Launch

💡 How do we find the area of a parallelogram?

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

A parallelogram is a four-sided shape with two pairs of parallel sides, like a leaning rectangle. Its area is how much flat space is inside it.

Key Idea:

Area of a parallelogram = base × height, where the height is the straight-up (perpendicular) distance, NOT the slanted side.

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 parallelogram using base × height.

📐 ARCHITECTURE FIRM

Now it's your turn

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

⏱️ Time: 5 min

1Next you will plot the patio on a grid and find its area yourself.

2Remember: multiply the base by the height, and always use the perpendicular height.

🎮

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
Parallelogram Paralelogramo	A four-sided shape with two pairs of parallel sides. Una figura de cuatro lados con dos pares de lados paralelos.	Think of a leaning door — the top and bottom are parallel, and the two sides are parallel, like a slanted rectangle
Base Base	A side of the shape you use to find the area. Un lado de la figura que usas para hallar el área.	If the bottom of a parallelogram is 10 cm, then b = 10 cm in the formula A = b × h
Height Altura	The straight-up distance from the base to the top. La distancia recta hacia arriba desde la base hasta la parte de arriba.	A dashed vertical line from the top side straight down to the base, forming a 90° angle — NOT the slanted side
Area Área	How much space is inside a flat shape. Cuánto espacio hay dentro de una figura plana.	A 3 cm × 4 cm rectangle covers 12 square centimeters — imagine 12 tiny 1×1 squares inside it
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 10×8 rectangle joined to a 4×5 rectangle; total area = 80 + 20 = 100 sq ft
Formula Fórmula	A math rule written with symbols. Una regla matemática escrita con símbolos.	A = b × h means Area equals base times height; for a parallelogram with b = 6 and h = 4, A = 24

Parallelogram: example vs. non-example

✓ A slanted four-sided shape with both pairs of sides parallelBoth pairs of opposite sides are parallel.

✗ A triangleA triangle has three sides, not two pairs of parallel sides.

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

🎯 I can find the area of a parallelogram using base × height.

📐 ARCHITECTURE FIRM

Which Word Fits?

❓ CLOZE POLL

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

A quadrilateral with two pairs of parallel sides 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 parallelogram using base × height.

📐 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

Look at the patio blueprint with a base of 14 feet and a height of 9 feet. Why do we use the height (9 ft) and not the slanted side to find the area?

Sentence starters (tap to use):

✍️ We use the height because it is ___ to the base.Usamos la altura porque es ___ a la base.

✍️ The slanted side is not the height because ___.El lado inclinado no es la altura porque ___.

Stretch further:

➕ The area would ___ because the formula only depends on ___ and ___.

➕ Tilting the shape changes the slanted side but not the ___, so ___.

WORD BANK:

baseheightareaparallelogramformula

90s

👂 Listen For

Students connect 'height' to the perpendicular (straight-up) distance from base to top, and recognize the slanted side is longer and would overstate the area.

Extend: If the client tilted the patio to make it more slanted but kept the base at 14 ft and the height at 9 ft, would the area change? Justify your answer.

🔍

Lesson Phase

EXPLORE & PRACTICE

⏱ ~18 min

Reveal Math Grade 6 Visual Model 6.G.1

🎯 I can find the area of a parallelogram using base × height.

📐 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

Plot the vertices of a parallelogram with base 14 and height 9. Place points at (0, 0), (14, 0), (16, 9), and (2, 9) to visualize the patio.

baseheight149126rectanglerearrange

✍️ Explore Discourse

If you cut a triangle from one side of the parallelogram and move it to the other side, what shape do you get? How does this help you find the area?

The area of the parallelogram equals base x height = ___ x ___ = ___ square feet, which is the same as a ___ with the same base and height.

Reveal Math Grade 6 Whiteboard CFU 6.G.1

🎯 I can find the area of a parallelogram using base × height.

📐 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 parallelogram using base × height.

📐 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

On the grid you cut a triangle off one end of the parallelogram and slid it to the other side. What shape did you make, and why does that prove the area is base x height?

Sentence starters (tap to use):

✍️ When I move the triangle, I get a ___.Cuando muevo el triángulo, obtengo un ___.

✍️ Area equals base times ___, so 14 times 9 equals ___.El área es la base por ___, entonces 14 por 9 es ___.

✍️ It is like a rectangle because ___.Es como un rectángulo porque ___.

Stretch further:

➕ This claim is wrong because ___ only works when ___.

➕ A counterexample is ___, which shows that ___.

WORD BANK:

rearrangerectanglebaseheightarea

90s

👂 Listen For

A strong answer names a rectangle, states the area is 14 x 9 = 126 sq ft, and explains the rearranged rectangle has the same base and height as the parallelogram.

Extend: A classmate says any quadrilateral's area is base x height. Critique this claim using what you know about parallelograms versus other four-sided shapes.

Reveal Math Grade 6 Practice A 6.G.1

🎯 I can find the area of a parallelogram using base × height.

📐 ARCHITECTURE FIRM

Practice Check A

📝 QUICK CHECK

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

⏱️ Time: 2 min

What is the area of a parallelogram with base 10 cm and height 7 cm?

✍️ Show Your Work

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

Teacher reveal: A = b × h = 10 × 7 = 70 square centimeters.

Reveal Math Grade 6 Practice B 6.G.1

🎯 I can find the area of a parallelogram using base × height.

📐 ARCHITECTURE FIRM

Practice Check B

📝 QUICK CHECK

❓ Ask: Partner discussion first, then vote.

⏱️ Time: 2 min

A parallelogram has an area of 54 sq ft and a base of 9 ft. What is the height?

✍️ Show Your Work

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

Teacher reveal: A = b × h → 54 = 9 × h → h = 54 ÷ 9 = 6 ft.

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

🎯 I can find the area of a parallelogram using base × height.

📐 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

Sort each parallelogram by whether its area is greater than 50 sq units or 50 or less.

Card Bank — cut or drag these cards:

⠿b = 12, h = 5 → A = 60

⠿b = 7, h = 6 → A = 42

⠿b = 10, h = 8 → A = 80

⠿b = 9, h = 4 → A = 36

⠿b = 11, h = 7 → A = 77

⠿b = 5, h = 10 → A = 50

Area > 50 sq units

Area ≤ 50 sq units

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 base and height b = 11 m, slant side = 8 m, h = 6 m

2 Write the formula A = b × h

3 Substitute values A = 11 × 8

4 Calculate A = 88 sq m

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: "Area of a parallelogram = base × height, where the height is the straight-up (perpendicular) distance, NOT the slanted side." — and it works because ___.

Frame 2 Because / But / So

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

Frame 3 Catch the Mistake

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

Frame 4 Prove It

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

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

✍️ TWR · WRITE 3 SENTENCES · 7 MIN

Sentence kernelArea of a parallelogram = base × height, where the height is the straight-up (perpendicular) distance, NOT the slanted side.

because

Give a reason

Area of a parallelogram = base × height, where the height is the straight-up (perpendicular) distance, NOT the slanted side. because ___

but

Name a tricky part

Area of a parallelogram = base × height, where the height is the straight-up (perpendicular) distance, NOT the slanted side. but ___

so

State what it means

Area of a parallelogram = base × height, where the height is the straight-up (perpendicular) distance, NOT the slanted side. so ___

Reveal Math Grade 6 Sentence Expansion 6.G.1

🌱 TWR · GROW THE KERNEL · 6 MIN

Sentence kernelToday we used Parallelogram.

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 parallelogram using base × height.

📐 ARCHITECTURE FIRM

Student Workspace

📊 FILL THE TABLE

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

⏱️ Time: 5 min

Plot the vertices of a parallelogram with base 14 and height 9. Place points at (0, 0), (14, 0), (16, 9), and (2, 9) to visualize the patio.

Column A	Column B

✏️ 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

What is the area of a parallelogram with base 10 cm and height 7 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.1

🎯 I can find the area of a parallelogram using base × height.

📐 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 parallelogram using base × height.

📐 ARCHITECTURE FIRM

Real-World Connection

🌍 Math in the Wild

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

A landscape architect is tiling a parallelogram-shaped courtyard. The courtyard has a base of 18 feet and a height of 10 feet. Each tile covers 2 square feet.

180areabaseheight181090tilesparallelogram

✍️ Connection Reasoning

How many tiles does the architect need?

The courtyard's area is ___ sq ft because A = ___ x ___ . She needs ___ tiles because ___ / 2 = ___.

Reveal Math Grade 6 Discuss Connect 6.G.1

🎯 I can find the area of a parallelogram using base × height.

📐 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 landscape architect tiles an 18 ft by 10 ft parallelogram courtyard and each tile covers 2 sq ft. Talk through how you find the number of tiles.

Sentence starters (tap to use):

✍️ First I find the area: 18 times 10 equals ___ square feet.Primero hallo el área: 18 por 10 es ___ pies cuadrados.

✍️ Then I divide by 2 because ___, so she needs ___ tiles.Luego divido entre 2 porque ___, entonces necesita ___ baldosas.

Stretch further:

➕ A rule for boxes is ___ because ___.

➕ For this courtyard she needs ___ boxes, since ___.

WORD BANK:

areabaseheightparallelogramtiles

90s

👂 Listen For

Students compute area = 180 sq ft, then divide 180 / 2 = 90 tiles, and explain why dividing by the tile size gives the count.

Extend: Tiles come in boxes of 12. Generalize a rule for finding how many full boxes the architect must buy for any courtyard area, and apply it here.

✅

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 parallelogram has a base of 13 inches and a height of 5 inches. What is its 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 parallelogram using base × height.

📐 ARCHITECTURE FIRM

Bonus Exit Check

📝 QUICK CHECK

❓ Ask: Optional for early finishers.

⏱️ Time: 2 min

What is the area of a parallelogram with base 9 cm and height 5 cm?

✍️ Show Your Work

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

Teacher reveal: A = b × h = 9 × 5 = 45 square centimeters.

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 connect 'height' to the perpendicular (straight-up) distance from base to top, and recognize the slanted side is longer and would overstate the area.

• A strong answer names a rectangle, states the area is 14 x 9 = 126 sq ft, and explains the rearranged rectangle has the same base and height as the parallelogram.

• Students compute area = 180 sq ft, then divide 180 / 2 = 90 tiles, and explain why dividing by the tile size gives the count.

• 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 Parallelograms is skipping the key idea: "Area of a parallelogram = base × height, where the height is the straight-up (perpendicular) distance, NOT the slanted side." — 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: 70 sq cm — A = b × h = 10 × 7 = 70 square centimeters.

✓ Practice 2: 6 ft — A = b × h → 54 = 9 × h → h = 54 ÷ 9 = 6 ft.

✓ Practice 3: 45 sq cm — A = b × h = 9 × 5 = 45 square centimeters.

✓ Practice 4: The perpendicular distance between the base and the opposite side — The height is always the perpendicular (straight up-and-down) distance between the base and the opposite side, not the slanted side.

✓ Exit ticket: 65 sq in — A = b x h = 13 x 5 = 65 square inches.