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Using the Hundredths Squares and Unit Square to Understand Percent Problems

Using the Hundredths Squares and Unit Square to Understand Percent Problems. The square on the left is called a Unit Square. It can represent any number. The square on the right is called a hundredths square? Why?. Place your communicator on top of the Unit Square-Hundredths Square template.

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Using the Hundredths Squares and Unit Square to Understand Percent Problems

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  1. Using the Hundredths Squares and Unit Square to Understand Percent Problems

  2. The square on the left is called a Unit Square. It can represent any number. • The square on the right is called a hundredths square? Why?

  3. Place your communicator on top of the Unit Square-Hundredths Square template. • Trace the unit square on the left. • Slide the communicator to the right and compare the hundredths square to the unit square. What does the hundredths square do to the unit square?

  4. Unit Square – Hundredths Square • Let the Unit Square represent 100 100

  5. Using the Hundredths Square • Shade in 1 small square. What does 1 small square represent? • How many names does this square have? 1%, 1 out of 100, 1/100, 0.01

  6. Using the Hundredths Square • What statement can we make about this one square? 1 is 1% of 100

  7. What if I shade in more than 1 square? • If 1 square is 1%, what is another name for 5 squares? 5 out of 100, 5/100, 1/20, .05 • What statement can you write? 5 is 5% of 100

  8. What if I shade in more than 1 square? • If 1 square is 1%, what is another name for 10 squares? 10 out of 100, 10/100, 1/10, .10 • What statement can you write? 10 is 10% of 100

  9. What if I shade in more than 1 square? • If 1 square is 1%, what is another name for 25 squares? 25 out of 100, 25/100, 1/4, .25 • What statement can you write? 25 is 25% of 100

  10. What if I shade in more than 1 square? • If 1 square is 1%, what is another name for 50 squares? 50 out of 100, 50/100, 1/2, .50 • What statement can you write? 50 is 50% of 100

  11. What if I shade in more than 1 square? • If 1 square is 1%, what is another name for 75 squares? 75 out of 100, 75/100, 3/4, .75 • What statement can you write? 75 is 75% of 100

  12. How much do I shade? • What will you shade in if you are asked to shade in 20% of the hundredths square? • How many ways can you describe what you have shaded in? 20 out of 100, 20/100, 1/5, .20 • Do these names make sense to you?

  13. Thinking about the squares • 20 squares was 20% of the whole board. • Another way to describe this is to say 20 squares is 20% of the 100 squares. • What statement could you make about 55 squares? 55 is 55% of 100

  14. Let’s think beyond a unit of 100 ? 200 Let the unit square represent 200

  15. Let’s Change the Unit Square 200 • Suppose we had 200 pieces of candy in the unit box. How many pieces of candy will be in each small square? • If 1 square is 1%, what is 1% of 200? • If 5 squares is 5%, what is 5% of 200? • If 10 squares is 10%, what is 10% of 200?

  16. With the whole board representing 200 • Shade in 20 squares. • Write a statement about the 20 squares. 40 is 20% of 200 200 • Explain why this makes sense.

  17. What proportion does this visual illustrate? 200

  18. On the hundredths square shade in 1 square or 1% Let the unit square represent 1200 400 150 50 Try these combinations: • Write a statement about 1% of the unit square. • On the hundredths square shade in • 60% • 75% • 90% • Write a statement about each percent.

  19. Using the Hundredths Squares and Unit Square to Understand Percent Problems

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