OAT Lesson 6: Explore Multiplication Strategies with Rectangles

Last updated almost 3 years ago

16 Nsɛmmisa

Develop Understanding

Today's Learning Goal: (G3, U4, L7)

Use area diagrams to explore strategies based on properties of multiplication

Today's Materials:

Laptop
Laptop charger
Pen/Pencil/Paper/Expo Marker (optional)

Please complete the Jump Start (activator). You have 5 minutes before we review. This is independent it should be silent.

Reminders:

1. Ready for class

2. No cellphones

3. Volume must be low.

4. Read and follow all directions

5.) Take your bag off and immediately begin the Activator.

JUMP START: How Many Do You See: Squares - ( 5min)

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OAT Lesson 6: Explore Multiplication Strategies with Rectangles

Last updated almost 3 years ago

16 Nsɛmmisa

Develop Understanding

Today's Learning Goal: (G3, U4, L7)

Use area diagrams to explore strategies based on properties of multiplication

Today's Materials:

Laptop
Laptop charger
Pen/Pencil/Paper/Expo Marker (optional)

Please complete the Jump Start (activator). You have 5 minutes before we review. This is independent it should be silent.

Reminders:

1. Ready for class

2. No cellphones

3. Volume must be low.

4. Read and follow all directions

5.) Take your bag off and immediately begin the Activator.

JUMP START: How Many Do You See: Squares - ( 5min)

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How many do you see? How do you see them?
a.)
b.)
c.)

Launch: Strategies with Rectangles) - (10 min)

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I do (question 2)

We do (question 3)

You do (question 4)

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Represent each diagram with expression. Then find the value of the expression.

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Represent each diagram with an expression. Then find the value of the expression.

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Represent each diagram with an expression. Then find the value of the expression.

Activity 1: From Diagrams to Expressions - (20 minutes)

Given the diagrams below:

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How are Andre and Elena’s strategies alike? How are they different?

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Here is another rectangle. Its area can be found by finding.

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Activity 2: From Expressions to Diagrams-(15 min)

Here are some rectangles and expressions that show how three students saw the area of the rectangles.

For each rectangle:

Name the two factors that can be multiplied to find its area.
Mark or shade each rectangle to show how each student saw the area. Be prepared to explain your reasoning.

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Lesson Synthesis: - (5 min)

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Today, we used diagrams to find the area of rectangles with certain side lengths. We decomposed the rectangles in different ways and wrote different expressions.

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What were some strategies for decomposing the rectangles to find their areas?

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How might these strategies help us multiply two numbers?

Cool Down: Mark or Shade Parts to Find Area - (5 min)

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Here is a rectangle whose area can be found by finding.
Mark or shade the rectangle to show that we can write.
2 x (3 x 7) or (6 x 5) + (6 x 2)

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What is the value of
? Explain or show your reasoning by drawing a representation.

Closure Questions:

How do you feel about today's material?
What's the difference between an expression and an equation?
Name the four representations we've seen in class so far?

OAT Lesson 6: Explore Multiplication Strategies with Rectangles

JUMP START: How Many Do You See: Squares - ( 5min)

OAT Lesson 6: Explore Multiplication Strategies with Rectangles

JUMP START: How Many Do You See: Squares - ( 5min)

How many do you see? How do you see them?a.)b.)c.)

How many do you see? How do you see them?

Launch: Strategies with Rectangles) - (10 min)

I do (question 2)

We do (question 3)

You do (question 4)

Represent each diagram with expression. Then find the value of the expression.

Represent each diagram with an expression. Then find the value of the expression.

Represent each diagram with an expression. Then find the value of the expression.

Activity 1: From Diagrams to Expressions - (20 minutes)

How are Andre and Elena’s strategies alike? How are they different?

Here is another rectangle. Its area can be found by finding.

Activity 2: From Expressions to Diagrams-(15 min)

Here are some rectangles and expressions that show how three students saw the area of the rectangles.

For each rectangle:

Lesson Synthesis: - (5 min)

What were some strategies for decomposing the rectangles to find their areas?

How might these strategies help us multiply two numbers?

Cool Down: Mark or Shade Parts to Find Area - (5 min)

Here is a rectangle whose area can be found by finding. Mark or shade the rectangle to show that we can write. 2 x (3 x 7) or (6 x 5) + (6 x 2)

What is the value of ? Explain or show your reasoning by drawing a representation.

Closure Questions:

How many do you see? How do you see them?a.)b.)c.)

How many do you see? How do you see them?

Launch: Strategies with Rectangles) - (10 min)

I do (question 2)

We do (question 3)

You do (question 4)

Represent each diagram with expression. Then find the value of the expression.

Represent each diagram with an expression. Then find the value of the expression.

Represent each diagram with an expression. Then find the value of the expression.

Activity 1: From Diagrams to Expressions - (20 minutes)

How are Andre and Elena’s strategies alike? How are they different?

How are the numbers in Andre’s expressions related to his diagram?

How are the numbers in Elena’s expressions related to her diagram?

Here is another rectangle. Its area can be found by finding.

Mark or shade the rectangle in a way that would help you find its area.

Write one or more expressions that can represent your work on the diagram and show how you find the area.

Activity 2: From Expressions to Diagrams-(15 min)

Here are some rectangles and expressions that show how three students saw the area of the rectangles.

For each rectangle:

Lesson Synthesis: - (5 min)

What were some strategies for decomposing the rectangles to find their areas?

How might these strategies help us multiply two numbers?

Cool Down: Mark or Shade Parts to Find Area - (5 min)

Here is a rectangle whose area can be found by finding. Mark or shade the rectangle to show that we can write. 2 x (3 x 7) or (6 x 5) + (6 x 2)

What is the value of ? Explain or show your reasoning by drawing a representation.

Closure Questions:

How are the numbers in Andre’s expressions related to his diagram?

How are the numbers in Elena’s expressions related to her diagram?

Mark or shade the rectangle in a way that would help you find its area.

Write one or more expressions that can represent your work on the diagram and show how you find the area.

How many do you see? How do you see them?
a.)
b.)
c.)

Here is a rectangle whose area can be found by finding.
Mark or shade the rectangle to show that we can write.
2 x (3 x 7) or (6 x 5) + (6 x 2)

What is the value of
? Explain or show your reasoning by drawing a representation.

How many do you see? How do you see them?
a.)
b.)
c.)

Here is a rectangle whose area can be found by finding.
Mark or shade the rectangle to show that we can write.
2 x (3 x 7) or (6 x 5) + (6 x 2)

What is the value of
? Explain or show your reasoning by drawing a representation.