Solving Equivalent Ratio Problems

Warmup

Activity #1

Find Equivalent Ratios to a Given Ratio.

• Check the “Pattern 1” box to see the ratio of red to blue beads. Note that the ratio is in the simplest form. The beads are also represented on a line. Now, we want to find an equivalent ratio using the orange and green beads down below.
• Check the “Pattern 2” box. A ratio of 1:1 is displayed. To choose another ratio that is equivalent to 1:2, use located at the bottom right corner.
• As soon as you get an equivalent ratio, you are greeted with a smile.
• Use the same at the top right to change the original ratio and follow the steps again. Have fun!

• Answer the following questions.

Activity #2

Find Equivalent Ratios to a Given Ratio on a Graph.

• Move the “reveal“ slider in the applet below to the right to see the ratios that are equivalent to 1 : 2. At the end of the bar, a striaght line links all the points in the graph.​
• Now, use the two other sliders to change the ratio and repeat the step above. When equivalent ratios are graphed, they form a straight line through the origin. The applet demonstrates that fact.

Do you agree that all points on the line will be equivalent ratios? Explain why you think so.

Activity #3

Create Equivalent Ratios from a Diagram.

• Follow the instructions in the box below.

Quiz Time

https://www.ixl.com/math/grade-6/equivalent-ratios-word-problems