Representing Percentages in Different Ways

Student Summary

Tables and tape diagrams can also help us make sense of percentages.

Consider two problems that we solved earlier using a double number line diagram: 

  • What is 30% of 50 pounds? Here is a tape diagram that shows that 30% of 50 pounds is 15 pounds.

    A tape diagram divided into 10 parts, each labeled 5. The entire diagram is labeled 100 %. The first three parts are labeled 30 %. The first three parts are colored light blue, the rest are colored white.

  • Mai spent 90 minutes reading on Monday. This is 125% as much time she spent reading on Sunday. How long did she read on Sunday? 

    In other words: If 90 is 125% of a number, what is 100% of that number? A table can help us reason about problems like this.

    Here is one that shows that 100% of that number must be 72.

Visual / Anchor Chart

Standards

Addressing
6.RP.3.c

6.RP.A.3.c

Building Toward
6.RP.3.c

6.RP.A.3.c

6.RP.3.c

6.RP.A.3.c