Objective: Learn to use a table to find equivalent ratios and rates. Using Tables to find Equivalent Ratios and Rates and Create Proportions Objective: Learn to use a table to find equivalent ratios and rates.

To create a table of equivalent ratios or rates… Do you remember how to find equivalent ratios and rates? Use the same method you used to create equivalent ratios to make the tables. Multiply or divide the numerator and denominator of a known ratio or rate by the same number. Now we create a table… The we use the table to find 4 equivalent ratios. The equivalent ratios are: 3 = 6 3 = 9 3 = 12 3 = 15 4 8 4 12 4 16 4 20 3 6 9 12 15 4

Your example: Complete the table to create five ratios equivalent to 4 9. Write the 4 equivalent ratios. 4 8 12 16 20 9

Creating Proportions A proportion is a statement that shows two ratios are equal, or proportional. Proportions can be written in word or numbers. For example: 1 = 3 or “One is to two as three is to six.” 2 6 Complete the table to create three proportions equivalent to 2 5 2 5

Homework: Use multiplication to complete the table to find five equivalent ratios. 2. Use multiplication to complete the table to find five equivalent ratios. For each ratio, make a table and create 4 equal ratios. Use the ratios to write 4 proportions. 9 20 4. 3 11 5. 7 21 5 10 15 20 25 30 8 7 14 21 28 35 42 9