2.2 Equivalent Ratios Mme DiMarco

Learning Goal: How to write equivalent ratios Learning Goal

 A ratio of 4:3 means that for every 4 triangles, there are 3 squares  A ratio of 8:6 means that for every 8 triangles there are 6 squares  The ratios 4:3 and 8:6 are equivalent ratios Connect

 Equivalent Ratios: ratios that express the same relationship but use different values.  Example: 4:3 is the same as 8:6  An equivalent ratio can be formed by multiplying or dividing the terms of a ratio by the same number. Equivalent Ratios

 Find 5 equivalent ratios for 3:4 Challenge

 Find 5 equivalent ratios for 3:4  6:8  9:12  12:16  15:20  18:24 Answer

 A ratio is in its simplest form, when its terms have no common factors (when we can no longer reduce the terms by dividing by a common factor)  Example: 1:2 is the simplest form of 10:20 Simplest Form

 To find the simplest form 1.Find the GCF of both terms in the ratio 2.Divide both terms of the ratio by the GCF Example: write 24:16 in simplest form 1.GCF of 24 and 16: ÷ 8 : 16 ÷ 8 = 3 : 2 Finding the Simplest Form

 Page 52 #1 – 5 Homework