Explore A - Lesson 5.6 Partial Partitions: Area Models

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Part 1

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5.6 one-fourth square.JPG

What portion of the whole is shaded?

How many areas is this square partitioned into?

  • 4

Are these equal areas?

  • yes

How many of the equal shares are shaded?

  • one

What unit fraction would name the shaded area?

  • LaTeX: \frac{1}{4}14

Why is the numerator 1?

  • 1 of the parts is being considered.

Why is the denominator 4?

The whole has 4 equal sized parts.

How many of the shaded squares would it take to cover the whole?

  • four

Part 2

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5.6 square not split equally.JPG

Into how many areas is this square partitioned?

  • 3

Are these equal areas?

  • no

How many of the areas are shaded?

  • one

Does the shaded area show a fraction of the square?

  • yes

Is the fraction LaTeX: \frac{1}{3}13 of the whole?

  • no, it takes more than three of the shaded squares to cover the whole.

How many of the shaded squares would it take to cover the whole?

  • four

What unit fraction would name the shaded area?

  • LaTeX: \frac{1}{4}14

Why would the unit fraction beLaTeX: \frac{1}{4}14 and not LaTeX: \frac{1}{3}13if the shape isn't divided into four pieces?

Part 3

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(5.6 3 shapes split into parts.JPG

Look at the square on the left.

Into how many areas is this square partitioned?

  • 4

Are these equal areas?

  • no

How many of the areas are shaded?

  • one

Does the shaded area show a fraction of the square?

  • yes

Is the fraction LaTeX: \frac{1}{4}14 of the whole?

  • yes, it takes four of the shaded squares to cover the whole.

 

Part 4

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5.6 3 shapes split into parts.JPG

Look at the circle on the right

Into how many areas is this circle partitioned?

  • 5

Are these equal areas?

  • no

How many of the areas are shaded?

  • one

Does the shaded area show a fraction of the circle?

  • yes

Is the fraction LaTeX: \frac{1}{5}15 of the whole?

  • no, it takes less than five of the shaded regions to cover the whole.

How many of the shaded regions would it take to cover the whole?

  • 4

What would be the unit fraction to represent the shaded region?

  • LaTeX: \frac{1}{4}14
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