MATH 612—RR Competency Practice
Fractions and Proportions: K - 8 Learning and Teacher Practices
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The ratio of circles to triangles is 2 to 3. a. Sketch three different ratio pictures to show this relationship. b. Write two fraction statements about this relationship. Maria wants to make packages with 3 fiction and 4 nonfiction books each. She has 9 fiction books. How many nonfiction books will she need? Use a table of equivalent ratios to answer the question. Write the ratio of triangles to rectangles as a fraction in simplest form. Show your work. Use a sketch to illustrate the given information and the solutions (don’t use algebra). The ratio of apples to oranges in a gift box is 3 to 2, and there are 18 apples. How many oranges are there? 5. In each case, determine unit rates to complete the question. a. Jessica purchased 2.3 pounds of tofu for $6.87. What is the unit rate (price per pound) for tofu? How much tofu can Sally purchase for $10.00? b. If sliced Swiss cheese is $5.32 for 1.2 pounds, how many pounds of cheese can you buy for $9.50? c. If Lakeside Farm cheese costs $1.19 for each .25 pounds, how many pounds of cheese can be purchased for $5? 6. The table shows the numbers of students and teachers (to the nearest thousand) in grades K–12 in public schools in several states. The student/teacher ratio for each state is the number of students divided by the number of teachers. Student/
Number of Number of Teacher State Teachers Students Ratio Alabama 59,100 744,600 Florida 146,700 2,625,900 Hawaii 10,900 180,300 Iowa 34,700 479,300 Maine 16,800 193,000 Missouri 65,600 912,500 Oregon 26,500 546,60 Wyoming 6,400 84,900 a. Which state has the best (lowest) student to teacher ratio? b. Which state has the poorest (highest) student to teacher ratio? MATH 612—RR Competency Practice
Fractions and Proportions: K - 8 Learning and Teacher Practices
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Which package in each of the following pairs is the better buy? a. Betty Crocker Complete Buttermilk Mix: small size, 40 ounces at $4.35, or large size, 56 ounces at $5.05 b. Bisquick Variety Baking Mix: small size, 20 ounces at $2.47, or large size, 32 ounces at $3.47 c. Plastic tape: small roll, 15.2 yards for 69 cents, or large roll, 23.6 yards for $1.60 George can mow three lawns in two hours and John can mow five lawns three and half hours. How many lawns can they mow altogether in five hours? (Assuming all lawns area the same size in a cookie cutter neighborhood) Represent the ratio indicated by the following line using a series of images such as the tile images at the beginning of the reading. 10. An adult’s heart beats about 2,100 times every 30 minutes and a baby’s heart beats about 2,600 times every 20 minutes. How many more beats does a baby’s heart beat in 60 minutes than an adult’s heart? Use unit rates, not algebra to determine the answer. MATH 612—RR Competency Practice
Fractions and Proportions: K - 8 Learning and Teacher Practices
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