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OAT Lesson 6: Explore Multiplication Strategies with Rectangles

Last updated over 2 years ago
16 questions
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)

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

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

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

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

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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:

  • 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)

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)

Required
4

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)

Required
4

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?