FIFTH GRADE > 5.NBT.4 > TEACHER GUIDE

## TEACHER GUIDE TO CLARIFICATION

###### 5.NBT.4

Understand the place value system

5.NBT.4 Use place value understanding to round decimals to any place.

###### Place Value UNDERSTANDING to Round

This standard refers to rounding. Students should go beyond simply applying an algorithm or procedure for rounding. The expectation is that students have a deep understanding of place value and number sense and can explain and reason about the answers they get when they round. Students should have numerous experiences using a number line to support their work with rounding. When rounding a decimal to a given place, students may identify the two possible answers, and use their understanding of place value to compare the given number to the possible answers.

Example: Round 14.235 to the nearest tenth.

Students recognize that the possible answer must be in tenths thus, it is either 14.2 or 14.3. They then identify that 14.235 is closer to 14.2 (14.20) than to 14.3 (14.30).

Students should use benchmark numbers to support rounding. Benchmarks numbers are convenient. 0, 0.5, 1, and 1.5 are examples of benchmark numbers.

Which benchmark number is the best estimate of the shaded amount? Explain your thinking.

Understanding the size of decimals here is an important reasoning skill and students will need opportunities to practice this.

Kansas Association of Teachers of Mathematics (KATM) Flipbooks.

Questions or to send feedback: melisa@ksu.edu. Retrieved from Math Flipbooks.

You learned rounding using an algorithm

Let’s round to the hundreds place

Put your pencil point under the digit in the hundreds place.

Look to the right.

Is the digit 5 or more? This will let you know if you should Increases by 1 OR stay the same.

What happens to everything to the left of the hundreds place?

Those digits always remain the same.

What happens to everything to the right of the hundreds place?

Those digits become zero.

Students now need to understanding rounding

Students who have place value understanding are quick to round and can identify when they make an error when computing. Students need opportunities to see amounts as values on a number line so the algorithm will make sense.

###### Coherence and Connections: Need to Know

Grade Below

Grade Level

Grade Above

4.NBT.4

5.NBT.4

5.NBT.1

5.NBT.3

5.NBT.3a

5.NBT.3b

Evidence

Statement Key

Evidence Statement Text

Clarifications

**MP**

5.C.3

Reason about the place value system itself.

Content Scope: Knowledge and skills articulated in 5.NBT.A

i) Tasks do not involve reasoning about place value in service of some other goal (e.g., to multiply multi-digit numbers). Rather, tasks involve reasoning directly about the place value system, in ways consistent with the indicated content scope.

3,7,6

5.NBT.4

Use place value understanding to round decimals to any place.

i) Tasks have “thin context” or no context.

2

PARCC Mathematics Evidence Tables. (2013, April).

Retrieved from:http://www.parcconline.org/assessments/test-design/mathematics/math-test-specifications-documents

###### HOT Questions

Circle all the numbers which when rounded to the nearest tenth place is 4.5

4.41 4.53 4.46 4.519 4.489

4.49 4.59 4.51 4.059 4.479

If a 5-digit number was rounded to 50.89, what would have been the lowest and highest values for the number, when rounded to the nearest hundred place?

Lowest 5-digit number _______________

Highest 5-digit number _______________

Explain your thinking.

Is 3.462 closer to 3 or to 4?

Is it closer to 3.4 or to 3.5?

Is it closer to 3.46 or to 3.47?

The class was asked to round 19.684 to the nearest tenth. Joey raised his hand and answered 19.6. Heather answered 19.7. And Patrick answered 19.68. Who do you think is correct? Why? What do you think the other students did to get their answers?

__________________________________________________________________________________________________________

__________________________________________________________________________________________________________

__________________________________________________________________________________________________________

###### Additional Resources

Illustrative Mathematics

https://www.illustrativemathematics.org/illustrations/1804

Inside Mathematics

http://www.insidemathematics.org/assets/common-core-math-tasks/decimals.pdf

Howard County Wiki

https://grade5commoncoremath.wikispaces.hcpss.org/Assessing+5.NBT.4

PARCC sample EOY TEST