Daily Review 1. Using the distributive property rewrite the sum of 42 + 24 as a multiple of a sum whose addends have no common factors of the following number. 2. Using the distributive property rewrite the sum of 88+44 as a multiple of a sum whose addends have no common factors of the following number. Homework Check 5. 27 girls 6. A 7. 12 8. D Equivalent Ratio Review • The table shows the number of chairs and tables needed for a banquet. How many tables are needed for 48 chairs. Tables and Chairs Tables 2 3 4 x Chairs 16 24 32 48 GPS: MCC6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. MCC6.RP.3:Use rate and ratio to solve real world problems . a. Make table of equivalent ratios with whole numbers Essential Questions • What information do I get when I compare two numbers using a ratio? • What are equivalent ratios? Can I give examples of equivalent ratios? • What kinds of problems can I solve by using ratios? Add to Vocabulary Sheet Term Definition Example equivalent ratios Two equal ratios 8 4 = 6 3 cross products The products of the numerator of one ratio and the denominator of the other ratio 8 4 = 6 3 cross multiply One way to tell if two ratio or rates are equivalent. 8 4 = 6 3 proportion Two equal ratios 2 12 = 3 Variable Represents unknown “number” a–z a=12 Shadow Problem If Fabian is 6 feet tall and his shadow is 9 feet long, how tall is the flag pole if it has a 32 foot shadow? What is It? How can it be written? Two equal ratios Proportion How is it solved? By cross multiplying and solving for the variable In fraction form, however, it can be written using the word (to) and a colon (:) What are some examples? Solving ratio word problems using a proportion • A recipe uses 6 cups of flour for every 3 cups of sugar. If I want to make a recipe using 10 cups of flour. How many cups of sugar should I use? • Jordan’s store sold mp3 players and headphones in the ratio 3:7.His store sold 9 mp3 players yesterday. How many headphones were sold? • If Fabian is 6 feet tall and his shadow is 9 feet long, how tall is the flag pole if it has a 32 foot shadow? Independent Practice • Pairs – Complete proportion handout examples What is? Summarizing • What is a proportion? • What is a variable? • What is the inverse operation (undo) for multiplication? • How do we solve proportions?