CCSS.Math.Content.5.NBT.A

CCSS.Math.Content.5.NBT.A is a cluster heading. These are the individual standards under it.

• CCSS.Math.Content.5.NBT.A.1

  Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represen...

• CCSS.Math.Content.5.NBT.A.2

  Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point whe...

• CCSS.Math.Content.5.NBT.A.3

  Read, write, and compare decimals to thousandths.

• CCSS.Math.Content.5.NBT.A.3a

  Read and write decimals to thousandths using base-ten numerals, number names, and expanded form, e.g., 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/...

• CCSS.Math.Content.5.NBT.A.3b

  Compare two decimals to thousandths based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

• CCSS.Math.Content.5.NBT.A.4

  Use place value understanding to round decimals to any place.

01

What Students Need to Do

Students use place value to explain how a digit’s value changes across whole numbers and decimals. They read, write, compare, and round decimals through thousandths, including using powers of 10.

02

What Mastery Looks Like

Students explain that moving one place left multiplies a digit’s value by 10, while moving right divides it by 10. They read, write, compare, and round decimals through thousandths and use powers of 10 to describe place-value shifts.

03

Common Misconceptions

Students may treat each digit as having the same value, or think moving right makes a digit ten times greater. They may compare decimals by length rather than place value, or round using the wrong neighboring place.

04

How to Assess It

Give students 4.306 and ask them to write it in expanded form, compare it with 4.36, and round it to the nearest tenth.

1. 01

   Give pairs place-value mats and digit cards, then have them build decimals and shift one digit left or right while stating its new value.

2. 02

   Ask students to explain in writing why 3.40 is greater than 3.399, using place-value names and a comparison symbol.

3. 03

   Play Decimal War with number cards, where students build decimals through thousandths and earn a point for correctly comparing both numbers.

4. 04

   Use grocery prices and measurement data to have students compare decimals and round each amount to a requested place.

• CCSS.Math.Content.1.NBT.B

  Understand place value.

• CCSS.Math.Content.2.NBT.A

  Understand place value.

• CCSS.Math.Content.4.NBT.A

  Generalize place value understanding for multi-digit whole numbers.

• CCSS.Math.Content.3.NBT.A

  Use place value understanding and properties of operations to perform multi-digit arithmetic.