Proportionality: Ratios and Rates 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 Before we can start with this unit, we must first review Fractions! Simplifying Fractions Equivalent Fractions

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

15 24 List all the factor of both the numerator and denominator 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

Can you do these! Write in simplest form! 6 4 45 9 10 72

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

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

Can you do them? Write equivalent Fractions: 12 5 2 15 6 7

Vocabulary Quotient – answer to a division problem 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

New Vocabulary Ratio: a comparison of two 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.

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