Presentation on theme: "Proportionality: Ratios and Rates"— Presentation transcript:
1 Proportionality: Ratios and Rates Unit 3Proportionality:Ratios and Rates
2 ObjectiveStudents 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 ReadyBefore we can start with this unit, we must first review Fractions!Simplifying FractionsEquivalent Fractions
4 Simplifying Fractions Please simplify this fraction:1524How did you go about it?
5 15 24 List all the factor of both the numerator and denominator 15 24 List all the factor of both the numerator and denominator , 3, 5, , 2, 3, 4, 6, 8, 12, 24 Circle the GCF (greatest common factor) Divide the numerator and denominator by the GCF 15 3 = = 8
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. 6 x 2 = 12 8 x 2 = 16 Or you can divide the numerator and denominator by the same number. 6 2 = = 4
10 Vocabulary Quotient – answer to a division problem Review Words:Colon :Product-answer to a multiplication problemQuotient – answer to a division problemQuantity- amount of something.Unit: the measurement of an amount.DivideMultiply
11 New VocabularyRatio: 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 comparisonRate: 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 pagesRegular Math Textbook pages