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Pre-Algebra

Pre-Algebra. August 24, 2011 Please get ready for class by getting your agenda and class materials out. Write the following in your agenda: Topic: Compare and Order Fractions, Decimals, and Percents

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Pre-Algebra

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  1. Pre-Algebra August 24, 2011 Please get ready for class by getting your agenda and class materials out. Write the following in your agenda: Topic:Compare and Order Fractions, Decimals, and Percents Learning Objective: Students will express fractions and decimals as percents and percents as fractions and decimals when comparing and ordering the numbers

  2. Compare and OrderPowers Essential Question: How many grains of rice will the Raja place on the last square of the chess board?

  3. Compare and OrderPowers The Rajah’s Rice A mathematical Folktale from India

  4. Compare and OrderPowers

  5. Compare and OrderPowers The table below shows how to read and write powers.

  6. Compare and OrderPowers

  7. Compare and OrderPowers Student Practice: Following the pattern given before, write the pattern for powers of 2 and 3.

  8. Compare and OrderPowers

  9. Compare and OrderPowers

  10. Compare and OrderPowers Based on the pattern above: Write a rule for Powers with a zero exponent. Write the rule for Powers with a negative exponent.

  11. Compare and OrderPowers Write a rule for Powers with a zero exponent. Any nonzero number to the zero power is 1. Write the rule for Powers with a negative exponent. Any nonzero number to the negative ‘n’ power is divided by the number to the nth power.

  12. Compare and OrderPowers Evaluate Powers Evaluate 35 35 = 3 ∙ 3 ∙ 3 ∙ 3 ∙ 3 Definition of exponents = 243 Simplify. Check using a calculator. 35 = 243 Evaluate 5−2 5−2 = Definition of negative exponents = Simplify.

  13. Compare and OrderPowers Student Practice On whiteboards, evaluate the following Powers: • 153 2. 25 ● 52 3,375 800 3. 5-4

  14. Compare and OrderPowers Ordering Powers Order the powers from least to greatest. 4-2 , 42 , 40 4-2, 40, 42 Student Practice: Without evaluating the powers, order 2-3 , 24 , and 20 from least to greatest. 2-3 , 20, 24

  15. Compare and OrderPowers Hands on Lab Computers use several base systems, including binary, base 8, and base 16. Most people have 10 fingers, which is most likely why we use the decimal system. Count on your fingers without using your thumbs. This is how the base 8 system would work. Complete the hands-on lab pages in your handout. You may work with a partner. The Hands-on Lab will be turned in at the end of the class period.

  16. Compare and Order Fractions, Decimals and Percents Skill and concept check: Complete questions 1-3 in your handout independently. When finished, compare your answer with your partner.

  17. Compare and Order Fractions, Decimals and Percents 1) Write a fraction, a percent, and a decimal to represent the shaded portion of the rectangle at right. fraction _____________ percent ____52%______ decimal ___.52________

  18. Compare and Order Fractions, Decimals and Percents • Kristen and Ashley are changing 0.7 to a percent. Who is correct and explain why. Kristen says 0.7 would be written as 7% Ashley says 0.7 would be written as 70% Ashley is correct. The decimal point is moved to the right two decimal places to write as a percent.

  19. Compare and Order Fractions, Decimals and Percents

  20. Compare and Order Fractions, Decimals and Percents Closure Explain the relationship between fractions, decimals and percents. Fractions, decimals and percents are different ways to write the same number and can be used interchangeably.

  21. TOTD Work with a partner. Pretend your partner was absent for this lesson. On a piece of paper, write a percent and a decimal using different numbers. Teach your partner how to write a percent as a decimal and how to write a decimal as a percent. Explain and show how to place the decimal point. Paper will be given to Mrs. Klavers upon leaving the room. Good job!!!!

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