Thinking Rationally about Fractions through the use of Pattern Blocks

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Thinking Rationally about Fractions through the
use of Pattern Blocks

• Joe Hill

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Purpose

• Some lessons build understanding.
• Some lessons build skills which are applied to
  understanding.
• Some lessons build speed in applying skills to
  understanding.
• The purpose of this lesson is to build
  understanding.

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Meet the Pattern Blocks
This is a yellow hexagon...
Its value is 1
4
Meet the Pattern Blocks
This is a red trapezoid...

• Its value is

5
Meet the Pattern Blocks
This is a blue rhombus...

• Its value is

6
Meet the Pattern Blocks
This is a green triangle...

• Its value is

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Review

• Yellow Hexagon

Red Trapezoid
1
Green Triangle
Blue Rhombus
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Multiple Pieces
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Equivalence
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Equivalence
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Equivalence
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Equivalence
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Equivalence
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Equivalence
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Addition
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Addition
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Addition
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Addition
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Addition
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Subtraction
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Subtraction
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Subtraction
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Subtraction
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Multiplication
Read the x as of
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Multiplication
Read the x as of
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Multiplication
Read the x as of
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Multiplication
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Multiplication
Read the x as of
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Division

• What does 36 4 mean?
• It means how many 4s does it take to make 36.
• What does 81 3 mean?
• It means how many 3s does it take to make 81.
• What does Hokie Cav mean?
• It means many Cavs does it take to make a Hokie.

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Division
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Division
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Division
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Division
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Division
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Division
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Understand fractions better?

• Hope so!