Year 2 Mathematics · AC9M2N02

Year 2 Place Value: Partition, Regroup and Rename Numbers

Students use hundreds, tens and ones to partition two- and three-digit numbers, then regroup and rename the same value in different equivalent ways

Ready to project and teach

Learning goalsSay it simply

Place value tells us what each digit is worth because of its position. Students connect written digits to grouped materials, partition numbers into hundreds, tens and ones, and then rename the same number using different groupings without changing its value.

  • Read a two- or three-digit number and explain the value of each digit.
  • Partition a number in standard form, such as 245 = 200 + 40 + 5.
  • Regroup one hundred as 10 tens and one ten as 10 ones.
  • Rename a number in equivalent ways, such as 245 = 24 tens + 5 ones.
  • Explain the role of zero as a placeholder, for example in 305 or 420.
Key conceptTeach from the board

Partition 384

384 has 3 hundreds, 8 tens and 4 ones, so 384 = 300 + 80 + 4.

Rename 384 using tens and ones

3 hundreds can be regrouped as 30 tens. Then 30 tens + 8 tens = 38 tens, so 384 = 38 tens + 4 ones.

Rename 62 for calculation

62 can be written as 6 tens + 2 ones or as 5 tens + 12 ones. The grouping changes, but both representations equal 62.

Explain the zero in 407

407 has 4 hundreds, 0 tens and 7 ones. The zero keeps the hundreds and ones in their correct place-value positions.

Clean visual examplesOne-page board

Clean one-page examples

AC9M2N02 - Year 2 Place Value: Partition, Regroup and Rename Numbers
Example 1

Support: keep base-ten materials visible and use place-value mats labelled hundreds, tens and ones.

Example 2

Core: move between materials, numerals, expanded notation and renamed forms.

Example 3

Extension: challenge students to find three or more different equivalent regroupings and justify each one.

Example 4

: compare the digits of a number with materials grouped into hundreds, tens and ones, and explain the meaning of each digit in the materials.

Curriculum examplesCurriculum examples

Content description: partition, rearrange, regroup and rename two- and three-digit numbers using standard and non-standard groupings; recognise the role of a zero digit in place value notation.

  • E1: compare the digits of a number with materials grouped into hundreds, tens and ones, and explain the meaning of each digit in the materials.
  • E2: rename numbers in different ways using place-value knowledge; for example, rename 245 as 24 tens and 5 ones or as 2 hundreds and 45 ones.
Questions and answersWith answers

Key idea: A number can be partitioned in standard and non-standard ways. Regrouping changes the parts but not the total value.

Remember

  • Partition three-digit numbers
  • Regroup tens and ones
  • Use non-standard groupings
  • Explain zero
  • Keep value after renaming

Quick questions

  • Rename 246 in two ways.
  • What does the 0 mean in 509?
  • Is 300 + 40 + 12 equal to 352? Explain.
  • Write 470 as hundreds, tens and ones.

If an answer is uncertain, return to the model and explain what each part represents before calculating or drawing a conclusion.

Practice and reviewReady for practice
  • Reading digits instead of values: in 352, the 5 represents 5 tens or 50, not simply 5.
  • Changing the total while regrouping: require students to prove that the old and new representations are equal.
  • Thinking there is only one correct partition: show several valid representations of the same number.
  • Ignoring zero: compare 305 and 35 to show why zero matters in positional notation.
  • Writing 24 tens as 24: connect the language “24 tens” to its value of 240 before adding the ones.

Use the topic guide for planning, present the static Teacher Slides for explicit instruction, then choose the worksheet, supported Practice or independent Test. If a student can perform a regrouping but cannot explain why the value is unchanged, return to physical materials and equivalent trades.

Curriculum alignmentStart here

Place value tells us what each digit is worth because of its position. Students connect written digits to grouped materials, partition numbers into hundreds, tens and ones, and then rename the same number using different groupings without changing its value.

  • Read a two- or three-digit number and explain the value of each digit.
  • Partition a number in standard form, such as 245 = 200 + 40 + 5.
  • Regroup one hundred as 10 tens and one ten as 10 ones.
  • Rename a number in equivalent ways, such as 245 = 24 tens + 5 ones.
  • Explain the role of zero as a placeholder, for example in 305 or 420.
Related resourcesKeep teaching
Teach & ExplainTeaching slides and samples

Teach this topic step by step

Explore optional teaching slide packs for classroom lessons and explanations at home.

Browse Teach & Explain · Browse Print & Go

Teachers: follow SkillrHub on TPT, then email us to request a free sample before buying. Include the year, subject and topic or curriculum code.

Request a free sample

After trying the sample, honest feedback is welcome. A TPT review is optional, where available, and does not need to be positive.