1. Proportional Reasoning
Ratios and Unit Rates

2. Ratios and Rates
1. At Meredith middle school, there are 754 students and 29 teachers teaching at one time. Write this relationship in simplest form.

3. Ratios and Rates
2. What is this kind of ratio called?

4. Ratios and Rates
3. What other ways, besides a ratio, can we use to show or express relationships like this one?

5. 4. Step 1: Calculate the unit rate for 1 US dollar Step 2: Create a table of similar rates and ratios to show your understanding of proportional reasoning. Step 3: Graph the ratios from your table. Step 4: Write an equation that shows the relationship of dollars(d) to pesos (p).

6. 5. Is the last problem an example of a directly proportional relationship. Explain.

7. Ratios and Rates
6. Grandma’s famous chocolate chip cookie recipe calls for 3 cups of sugar for every 2 cups of chocolate chips.
What is the unit rate?
Create a table showing other possible ratios from this recipe.
Graph the relationship between sugar and chocolate chips.
Write an equation that shows the relationship of sugar(s) to chocolate chips (c).

8. Using rates and ratios to make comparisons and decisions.

9. Using rates and ratios to make comparisons and decisions.
8. During Thanksgiving, I will travel 198 miles in about three hours. Express this ratio as a unit rate/speed.
I will use about 8.5 gallons of gasoline. Express this situation as a unit rate to show me my gas mileage.
(Hint: gas mileage = miles per gallon)

10. 9. Using the graph below, calculate the unit rate of a gallon of gas.

11. 10. Level 2 thinker: Can show one strategy for comparing these three amounts. Level 3/4 thinker: Can show two strategies for solving a problem like the one above.