Performance Stations in Math
Ratio & Proportion

by
Liliane Gauthier
Teacher / Educational Consultant

1. Ratio & Proportion

R-1, R-2, R-3
R-5, R-6, R-7

Materials:
colored cubes

 1. Three classes have the same ratio of girls to boys. In Elisa's class there are 6 girls and 5 boys. Bert's class has 15 boys. Karen's class has 12 girls. a) Use colored blocks to show the ratio of girls to boys in Elaine's class. b) Using the same color of blocks for boys and girls as above set up an equivalent ratio to help you determine the number of boys and girls in Bert's class. c) Determine how many boys and girls in Karen's class. d) Use a drawing to record each solution. e) Write the ratio using a colon beside each drawing. f) What is the ratio in lowest terms? 2. A recipe calls for 250 mL of sugar, 500mL of oatmeal and 750 mL of flour. a) Write the amounts as a ratio. b) Rename the ratio in lowest terms using blocks and draw to record your answer. 3. Use the colored cubes to show a ratio of 4:8:6 three different ways. Draw to record and write each as a ratio. 4. Choose a ratio. Show the ratio three different ways using the blocks. Draw to record and write each as a ratio. 5. In your own words define the term equivalent ratio.

2. Ratio & Proportion

R-1, R-4, R-6

Materials:
Gulliver's Travels book or movie (optional)
measuring tape

 Have you read, or heard of, the book by Jonathan Swift called Gulliver's Travels? Gulliver, a ship captain, suffers a shipwreck, and finds himself in the Land of Lulliput. Here, he finds that the heights of the people, plants and animals are in a 1:12 ratio to the heights of the people, plants and animals in his world. 1. Use the measuring tape to measure yourself. Then complete this chart.You choose the last three!
Body PartActual Length Length in Lulliput
length of middle finger

 2. Each day the Emperor of Lulliput gave Gulliver the food and drink necessary for 1728 Lilliputians. a) How did the Emperor's mathematicians arrive at that number? b) Explain why this should be about the right amount.

3. Ratio & Proportion

R-6, R-9

Materials:
ruler
calculator

 1 Choose 5 any places on the map and record. 2 Pretend that you are a sales representative and you need to visit each one of these places. Make a schedule of the order in which you will visit each place. Try as much as possible to save on distance. 3 Calculate the distance by highway by reading the map. 4 Calculate the distance as the crow flies by measuring and using the scale factor. 5 Suppose you need to spend about 2 hours in each place. Taking into account eating and sleeping time and the fact that you average 100km/h on the road, how many days will you need to make the rounds. Write your schedule starting at 9:00 Monday morning.

4. Ratio & Proportion

R-17, R-18, R-19
R-20, R-21

Materials:
one six-sided die
20x20 grid paper

 1 Roll a six-sided die 20 times and record the numbers by using a tally. 2 Write the number of times you rolled each number as a fraction of the total number of rolls. Reduce to simplest term. 3 Write each of the above as decimals. 4 Calculate the percent of tosses that were a 1, 2, 3, 4, 5 or 6. 5 Use a grid and six different colors to graph the results.

5. Ratio & Proportion

R-24 b,c
N-1, N-20

Materials: