11.2 Compare Fractions Using Benchmarks

11.2 Compare Fractions Using Benchmarks

I can use benchmarks to compare two fractions and

record the comparison with the symbols < or >.

So what is a benchmark?

• A known size or amount that helps you understand a different size or amount is a benchmark.

• Common benchmarks are 0, 1/2 , 1,

  and 1 1/2.

• We use benchmarks in other measuring, like meters, yards, pounds, and so on.

Spark your learning

Abbot and Rowan go to the Climb-a-thon. They both climb ropes that are the same length. Abbot climbed 5/8 of the rope and Rowan climbed 4/10 of the rope. Who climbs higher than halfway up the rope?

Open Ended

Who do you think climbed higher, Abbot with 5/8 of the rope, or Rowan with 4/10 of the rope? Why?

Build Understanding

The owner of a yogurt shop brings 1-gallon buckets of yogurt to the Climb-a-thon. At the end of the day, one bucket is 2/5 full and a second bucket is 3/4 full. Which bucket is less than 1/2 full?

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Multiple Choice

Which bucket is less than 1/2 full?

• the bucket that is 3/4 full

• the bucket that is 2/5 full

Step it out

Compare 1 3/8 and 1 2/3.

Multiple Choice

1 3/8 ___ 1 2/3

• <

• >

• =