EXT 3-6 Sampler

58 Grade6 Ratio Lesson17, 6ETeacherGuide 53 Objective12: To compare twonumbers ormeasurements as a ratio. Materials: Shapes cut frompaper or interlocking cubes or counters of different colors, 6-sideddice, pennies and dimes (orMaster 7) Vocabulary: ratio Ratio Display a set of twodifferent objects, e.g., 5 red squares and3blue squares. Here is a set of figures.Tellmeeverythingyouknow about them. (There are5 red squares and3blue squares; 8 squares in all; 2more red thanblue, 2 less blue than red, ⅝are red,⅜areblue.) Anotherwayof comparing the squares isbydivision oras a ratio.A ratio is a comparisonof twonumbers using thedivision symbol.The ratioof red toblue is 5 to3or ⁄.The ratioof blue to red is3 to5or ⁄. Writeon theboard: ratioof red toblue is 5 to3or 5_ 3 _ or 5:3 ratioof blue to red is 3 to5or 3_ 5 _ or 3:5 Find the ratioof red squares toall the squares and the ratioof theblue squares toall the squares.Howmany squares are there inall? (8) Writeon theboard: ratioof t r o e t d al = 5 8 ratioof t b o l t u a e l = 3 8 Repeatwithother examples, including comparing 2pennies to3dimes to illustrate that ratiosmust compare likequantities and shouldbe expressed in lowest terms. (2¢ to30¢ is the ratio 1⁄15) Writeon theboard: = = 1 15 2pennies 3dimes 2pennies 30pennies BBB RRRRR Together, read the example at the topof thepage.Have students complete thepageon their own. One-MinuteRatios Eachpair or small groupneeds two 6-sideddice. Player 1 throws the two dice anduses the2digits rolled towrite a ratio.When the teacher says “begin,” all playershave15 seconds towrite asmany equivalent ratios as possible. Theplayerwith the greatest number of correct ratioswins the round. The first player towin 3 roundswins the game. Skill Builders 12-5 53 ©Math TeachersPress, Inc.,Reproduction by anymeans is strictly prohibited. Write the ratio of the twomeasurements in three different ways. Write the ratio using a colon. Simplify if necessary. Ratio 5. 1 inch to 12 inches _____ _____ _____ 8. 1 cup to 4 cups _____ _____ _____ 6. 1 foot to 3 feet _____ _____ _____ 9. 1 cm to 100 cm _____ _____ _____ 7. 16 ounce to 1 ounce _____ _____ _____ 10. 1000 g to 1 g _____ _____ _____ 11. The length of a rectangle is 8 units. Thewidth is 2 units. What is the ratio of the length to thewidth? ________ 13. A recipe calls for 1 part fruit juice and 2 parts ginger ale. What is the ratio of fruit juice to ginger ale? ________ 12. Amanworks 6 days aweek. What is the ratio of the days worked to the days in aweek? ________ 14. A person paddles a canoe 6miles in 2 hours. What is the ratio of the distance traveled to the time? ________ The ratio of circles to triangles is 6 to 4 or 6:4. = The ratio of circles to all shapes is 6 to 10 or 6:10. = Write a ratio in fractional form. Simplify the fraction if possible. 1. Ratio of to ______________ 2. Ratio of to ______________ Write a ratio in simplest fractional form to compare the shaded shapes to all the shapes. 3. ______________ 4. ______________ 1 to 12 1:12 1 12 1 to3 16 to 1 1000 to 1 1 to 100 1 to4 1:3 16:1 1000:1 1:100 1:4 4:1 1:2 6:7 3:1 2 7 4 1 1 1 1 3 16 1 1000 1 1 100 1 4 1 2 6.RP.1, 6.RP.3 A ratiomay bewritten in differentways.