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Week 5, Day 3 – Wednesday October 10, 2012

Week 5, Day 3 – Wednesday October 10, 2012. Homework #19 : “Prime or Composite?” Worksheet and “Exploring Divisibility” Worksheet {Front and Back} *Note: Last chance to take online practice test. Warm Up :

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Week 5, Day 3 – Wednesday October 10, 2012

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  1. Week 5, Day 3 – Wednesday October 10, 2012 Homework #19: “Prime or Composite?” Worksheet and “Exploring Divisibility” Worksheet {Front and Back} *Note: Last chance to take online practice test Warm Up: Use long division to find the decimal expansion of each number below. For example, to write the decimal expansion of , divide 7 by 11. a.) b.) c.) Which are decimals that repeat? Circle them.

  2. Week 5, Day 3 – Wednesday October 10, 2012 Homework #19: “Prime or Composite?” Worksheet and “Exploring Divisibility” Worksheet {Front and Back} Warm Up Answer:

  3. Week 5, Day 3 – Wednesday October 10, 2012 Goals for Today • Hands-On Lab: Explore Rational Numbers • Vocabulary: • - Terminating decimal • - Repeating decimal • - Rational number California Common Core Standard The Number System 2d: Convert a rational number to a decimal using long division; know that the decimal form of a rational number terminates in 0s or eventually repeats.

  4. Activity 1: #1. Find the decimal expansion of each rational number • Guided Example #1: • Guided Example #2:

  5. Activity 1: #1. Find decimal expansion of each rational number • Now you try in partners! Use scratch paper.

  6. Activity 1: #2. Write each rational number and its decimal expansion on an index card as shown below.

  7. Activity 1: #3. Make Piles Terminating Repeating Neither

  8. Activity 1: #4. Which rational numbers are in each stack? List the rational number in the correct column below.

  9. Week 5, Day 3 – Wednesday October 10, 2012 Activity 1: Think and Discuss 1. When you use long division to write a decimal expansion, how can you tell that the decimal terminates? How can you tell that the decimal repeats? If the division ends or terminates, because the remainder is zero, then the decimal is a terminating decimal. If the division leads to a repeating block of one or more digits (where all digits are not zeros) after the decimal point, then the decimal is a repeating decimal.

  10. Week 5, Day 3 – Wednesday October 10, 2012 Activity 1: Think and Discuss 2. What do you notice about your stacks of index cards? Are there any cards in the stack for decimals that neither terminate nor repeat? • There are no cards in the stack for decimals that neither terminate nor repeat. 3. What can you say about the decimal expansion of any rational number? • The decimal expansion of any rational number either terminates or repeats.

  11. Rational Number • Let’s revisit the original question: What is a rational number? • What are examples of numbers that are not rational?

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