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Unit 3

Unit 3. Proportionality: Ratios and Rates. Objective. Students will show that they are ready to move onto this unit by being able to say the following: I can simplify Fractions! I can write equivalent fractions. Are you Ready.

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Unit 3

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  1. Unit 3 Proportionality: Ratios and Rates

  2. Objective • Students will show that they are ready to move onto this unit by being able to say the following: • I can simplify Fractions! • I can write equivalent fractions

  3. Are you Ready • Before we can start with this unit, we must first review Fractions! • Simplifying Fractions • Equivalent Fractions

  4. Simplifying Fractions • Please simplify this fraction: 15 24 How did you go about it?

  5. 15 24 List all the factor of both the numerator and denominator. 15- 1, 3, 5, 15 24- 1, 2, 3, 4, 6, 8, 12, 24 Circle the GCF (greatest common factor) Divide the numerator and denominator by the GCF 15 3 = 5 24 3 = 8

  6. Can you do these! • Write in simplest form! 6445 9 10 72

  7. Equivalent Fractions • Write me an equivalent Fraction: 6 8 What did you do to find this:

  8. 6 8 In order to find equivalent fractions multiply the numerator and denominator by the same number. 6x 2 = 12 8 x 2 = 16 Or you can divide the numerator and denominator by the same number. 6 2 = 3 8 2 = 4

  9. Can you do them? • Write equivalent Fractions: 1252 15 6 7

  10. Vocabulary • Review Words: • Colon : • Product-answer to a multiplication problem • Quotient – answer to a division problem • Quantity- amount of something. • Unit: the measurement of an amount. • Divide • Multiply

  11. New Vocabulary • Ratio: a comparison oftwo quantities. It shows how many times as great one quantity is to another. • Equivalent Ratios: are ratios that name the same comparison • Rate: comparison of two quantities that have different units. • Unit Rate: is a rate in which the second quantity is one unit. • When the first quantity in the unit rate is an amount of money, the unit rate is sometimes called the unit price or unit cost.

  12. Tomorrow • We will be starting with Ratios: • Advanced Math Class Textbook pages 399-403 • Regular Math Textbook pages 402-406

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