SCO A5: Students will be expected to explore the concepts of ratio and rate informally.
Student Activities A5.1: Use concrete materials and pictures to model situations in which there are six of one thing for every two of another thing.
Student Activities A5.2: Fill in the blanks below in as many ways as possible to create a true statement about mathematical situations: Statement: For every _____ ______, there are _____ _______. (For example: For every one dozen donuts, there are 12 donuts.)
Student Activities A5.3: Make one drawing that shows BOTH of the following: For every one pencil, there are three pieces of paper. For every three pencils, there are nine pieces of paper. What would you say for every five pencils?
Student Activities A5.4: Sports Ratios: For every 5 players on the starting lineup in basketball, there are 9 players in baseball. Work with a partner to create at least 5 sports ratios. Be creative. Choose your favourite ratio and create a poster. Label it properly and add illustrations.
Student Activities A5.5: The yellow block is _______ times the size of the blue block, or the blue block is one- _______ the size of the yellow block. Place two different pattern blocks side by side and state their ratio in two ways. Follow the example above.
Student Activities A5.6: Show how can you give the length of an object in centimetres if you know its length in millimetres. Would it be possible to give the length in centimetres if you knew the length in metres? Which of these tasks did you find easier? Why?
Student Activities A5.7: Give as many ratios as you can for the set of objects given below:
Student Activities A5.8: The ratio of pens to pencils in a box is 4:3. Fill in the blanks. The number of pens is ______ times the number of pencils; the number of pencils is _______ times the number of pens.
Student Activities A5.9: Find sets of two rectangles in the Fraction Factory that are in the ratio 1:2. Find sets of two rectangles that are in the ratio 3:1. Find sets of two rectangles that are in the ratio 3:2.
Student Activities A5.10: A rate is a special kind of ratio that involves the comparison of two quantities or amounts that have different units. Many everyday examples of rates can be found at the grocery store. For example, you might buy 6 oranges for $2.00. Can you think of any other examples of rates in the grocery store? Can you think of any other rates used in a different context? Describe three situations that depict or show a rate of 3:1.