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Homework: handout 1-9 Daily Review: 1. The number 108 can be expressed as the sum 100+8. Which shows how to use the distributive property to rewrite that sum as a multiple of a sum whose addends have no common factors? a. 2(50+4) b. 4(25+2) c. 5(20+1) d. 8(12+1) 2. Which of the following is equivalent to 33 + 77? a. 7 (3+11) b. 3(11+7) c. (3x11) x (7x11) d. 11 (3+7) GPS: MCC6.RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. Essential Questions β’ What information do I get when I compare two numbers using a ratio? β’ What kinds of problems can I solve by using ratios? Think-Pair-Share 1. How many boys are in the room? 2. How many girls are in the room? 3. What is the ratio of boys to girls? *Express your answer in three different ways? Unit 2 Important Terms Vocabulary Definition Rational Number A number that can be expressed as the ratio of π two integers in the form , π where b is not equal to 0. Ratio A comparison of two numbers using division Quantity The βamountβ of something Example A ratio can be expressed three ways: β’ Using the fraction bar as in 2 3 β’ Using a colon symbol as in 2:3 β’ Using the word βtoβ as in 2 to 3. *** always simplify your answer if needed by dividing by the GCF Guided Practice Write each ratio using the other two ways: 1. The ratio of 4 inches to 20 feet. 2. The ratio of 26 students: 1 class 3. The ratio of 2 πππ¦π 3 πππππ Independent Practice *model ratios using tangrams *express 3 different ways *write your answer as a sentence 1. What is the ratio of tan tangrams to yellow tangrams? 2. What is the ratio of red tangrams to total tangrams? 3. What is the ratio of orange tangrams to blue tangrams? 4. What is the ratio of orange tangrams to total tangrams? Create 2 of your own ratio questions using the tangrams and let your partner answer your questions. Extending and Refining The students in Mr. Hillβs class played games at recess. β’ 6 boys played soccer β’ 4 girls played soccer β’ 2 boys jumped rope β’ 8 girls jumped rope Afterward, Mr. Hill asked the students to compare the boys and girls playing different games. β’ Mika said, β βFour more girls jumped rope than played soccer.β β’ Chaska said, β βFor every girl that played soccer, two girls jumped rope.β Mr. Hill said, βMika compared the girls by looking at the difference and Chaska compared the girls using a ratio.β 1. Compare the number of boys who played soccer and jumped rope using the difference. Write your answer as a sentence as Mika did. 2. Compare the number of boys who played soccer and jumped rope using a ratio. Write your answer as a sentence as Chaska did. 3. Compare the number of girls who played soccer to the number of boys who played soccer using a ratio. Write your answer as a sentence as Chaska did. Summarizing What is the ratio of cats to dogs in a neighborhood that has 9 dogs and 3 cats? Express 3 different ways.