Partition for Calculation
Split into Hundreds, Tens and Ones
Partition each number. Example: 347 = 300 + 40 + 7.
More Partitioning Practice
Partition each number into hundreds and the rest.
Two-Digit Partitioning
Partition each two-digit number into tens and ones.
Match Partitions to Numbers
Draw a line to match each partition to the correct number.
Match More Partitions
Draw a line to match.
Match Expanded Form to Numbers
Match.
Which Partition Is Correct?
Circle the correct partition for each number.
362
509
741
198
More Correct Partitions
Circle the correct partition.
425
603
890
217
Pick the Right Expanded Form
Circle the correct expanded form.
546
308
971
452
Write the Partition
Write each number in expanded form.
472 = ___ + ___ + ___
815 = ___ + ___ + ___
263 = ___ + ___ + ___
907 = ___ + ___
More Expanded Form
Write each number in expanded form.
684 = ___
150 = ___
739 = ___
402 = ___
Count Hundreds, Tens, Ones
Each apple = 100, each star = 10, each heart = 1. Write the total.
More Place Value Counting
Each flower = 100, each fish = 10, each butterfly = 1. Write the total.
Sort: Two-Digit or Three-Digit?
Sort each number.
Partition in Different Ways
Split each number a different way. Example: 347 = 340 + 7 or 300 + 47.
More Non-Standard Partitions
Split each number — not the usual way!
Partition with Multiples of 10
Split each number into a multiple of 10 and the rest.
Which Partition Helps?
Which partition would be most helpful for the calculation?
365 + 20 = ? Partition 365 as...
248 + 50 = ? Partition 248 as...
473 − 70 = ? Partition 473 as...
586 − 6 = ? Partition 586 as...
Pick the Best Partition
Which partition makes the calculation easiest?
327 + 40 = ? Partition 327 as...
594 − 90 = ? Partition 594 as...
461 + 8 = ? Partition 461 as...
835 − 5 = ? Partition 835 as...
Which Is NOT a Correct Partition?
Circle the partition that does NOT equal the number.
456
329
781
Both Ways Are Right
Both partitions equal the same number. What is it?
300 + 40 + 5 = 340 + 5 = ?
200 + 60 + 8 = 260 + 8 = ?
500 + 30 + 1 = 530 + 1 = ?
Match Helpful Partitions
Match each problem to the most helpful partition.
Partition Two Ways
Write each number in two different ways.
358: Way 1: 300 + 50 + 8 Way 2: ___
472: Way 1: 400 + 70 + 2 Way 2: ___
619: Way 1: 600 + 10 + 9 Way 2: ___
845: Way 1: 800 + 40 + 5 Way 2: ___
More Two-Way Partitions
Write each number in two different ways.
263: Standard: ___ Non-standard: ___
591: Standard: ___ Non-standard: ___
724: Standard: ___ Non-standard: ___
Sort: Standard or Non-Standard?
Sort each partition.
Partition and Calculate
Partition the numbers to help you add or subtract. Show your working.
245 + 130 = ? Partition: 245 = 200 + 40 + 5, 130 = 100 + 30 Answer: ___
368 + 220 = ? Partition and solve: ___
475 − 150 = ? Partition and solve: ___
693 − 280 = ? Partition and solve: ___
More Partition Calculations
Use partitioning to solve.
356 + 230 = ? Working: ___
582 − 160 = ? Working: ___
427 + 350 = ? Working: ___
814 − 400 = ? Working: ___
Build Numbers from Parts
Add the parts together to find the total.
Partition to Solve
Use partitioning to work out the answer.
356 + 30 = ?
482 − 200 = ?
615 + 70 = ?
947 − 40 = ?
Quick Partition Mental Maths
Use partitioning in your head.
250 + 130 = ?
460 − 230 = ?
375 + 200 = ?
690 − 350 = ?
Word Problems with Partitioning
Solve by partitioning.
A farmer has 365 sheep. He buys 230 more. How many now?
A school has 548 students. 120 are away. How many at school?
Mia saved $275. She earned $150 more. How much does she have?
Partition Challenge
Can you partition each number in three different ways?
456: 1. 400 + 50 + 6 2. ___ 3. ___
789: 1. 700 + 80 + 9 2. ___ 3. ___
Home Activity: Partition Practice
Practise splitting numbers at home!
- 1Pick any three-digit number. Split it into hundreds, tens and ones.
- 2Now split the same number a different way (e.g. 347 = 340 + 7).
- 3Use partitioning to add the cost of two items at the shops.
- 4Find a three-digit page number in a book. How many ways can you partition it?
Partition Two-Digit Numbers — Fast Round
Split each number quickly!
Partition Hundreds — Fast Round
Split each number into hundreds and the rest.
Partition to Thousands — Extended
Split each 4-digit number.
Match Non-Standard Partitions — Set A
Match each number to its non-standard partition.
Match Non-Standard Partitions — Set B
Match each partition to the number.
Which Partition Is Standard?
Circle the STANDARD (hundreds + tens + ones) partition.
463
718
592
Standard or Non-Standard?
Circle 'Standard' or 'Non-standard' for each partition.
345 = 300 + 40 + 5
345 = 340 + 5
345 = 300 + 45
345 = 345 + 0
Partition Three Ways
Write each number in three different ways.
624: 1. 600 + 20 + 4 2. ___ 3. ___
871: 1. 800 + 70 + 1 2. ___ 3. ___
Match the Partition to the Calculation
Choose the best partition to help each calculation.
284 + 30: Partition 284 as ___ to make it easy.
563 − 60: Partition 563 as ___ to make it easy.
492 + 8: Partition 492 as ___ to make it easy.
735 − 5: Partition 735 as ___ to make it easy.
Partition and Solve — Set A
Use partitioning to solve.
143 + 250 = ? Partition: 143 = 100 + 40 + 3, 250 = 200 + 50 Answer: ___
476 + 320 = ? Working: ___
689 − 340 = ? Working: ___
Partition and Solve — Set B
Use partitioning to solve.
534 + 245 = ? Partition: ___ Answer: ___
867 − 250 = ? Partition: ___ Answer: ___
721 + 168 = ? Partition: ___ Answer: ___
Sort: Which Partition Helps Most?
Sort each problem by which partition is most helpful.
Complete the Partition
Circle what goes in the blank.
347 = 300 + ___ + 7
529 = 500 + 20 + ___
864 = ___ + 60 + 4
718 = 700 + ___ + 8
Partition to Add — Which Is Easiest?
Circle the best partition strategy.
To calculate 256 + 43, the best partition is...
To calculate 487 + 200, the best partition is...
Partition Number Bonds to 100
Write the missing number.
40 + ___ = 100
73 + ___ = 100
58 + ___ = 100
___ + 36 = 100
Partition Number Bonds to 1,000
Write the missing number.
400 + ___ = 1,000
750 + ___ = 1,000
325 + ___ = 1,000
___ + 480 = 1,000
Partition with Objects — Hundreds
Count: each apple = 100, each fish = 10, each star = 1. Write the total and partition.
Partition with Objects — More
Each flower = 100, each butterfly = 10, each heart = 1. Write total and partition.
Partition Patterns — Adding Tens
Each number is partitioned as (hundreds) + (tens) + (ones). Fill the next term.
Match Partitions — 4-Digit Numbers
Match each number to its expanded form.
Word Problems with Partitioning — Set A
Use partitioning to solve each word problem.
A playground has 246 students. 130 more arrive. How many now? Partition: ___ Answer: ___
A library had 583 books. 250 were borrowed. How many left? Partition: ___ Answer: ___
Word Problems with Partitioning — Set B
Partition to solve.
Mia saved $374. She spent $140. How much left? Working: ___
A bag has 428 marbles. 200 are blue. 120 are red. The rest are green. How many green? Working: ___
Tally the Ways to Partition 100
Count tallies showing how many times students used each strategy.
| Item | Tally | Total |
|---|---|---|
H + T + O | ||
Multiple of 10 + ones | ||
50 + 50 |
Favourite Partition Strategy
This graph shows which strategy students prefer.
| Standard H+T+O | |
| Non-standard | |
| Both equally |
Which strategy is most popular?
How many students prefer standard partitioning?
How many students were asked altogether?
Investigate: How Many Ways?
Investigate how many ways you can partition the number 500.
List at least 5 ways to partition 500: 1. 400 + 100 2. ___ 3. ___ 4. ___ 5. ___
Could you find even more? How many ways do you think there are? ___
Reflect on Partitioning
Write your thoughts.
Why is partitioning useful in maths? ___
Give an example of when you would use partitioning in real life: ___
Partition to Solve Money Problems
Use partitioning to add or subtract money.
$4.36 + $2.50 = ? Partition: $4.36 = $4 + 30c + 6c, $2.50 = $2 + 50c Answer: ___
$7.85 − $3.20 = ? Partition and solve: ___
Create Partition Puzzles
Write a partition for each mystery number.
My number has 5 hundreds, 6 tens and 2 ones. It is: ___
My number has 3 hundreds and 0 tens and 9 ones. It is: ___
My number in expanded form is 700 + 40. It is: ___
Make your own: My number has ___ hundreds, ___ tens and ___ ones. It is ___.
Partition for Subtraction
Use partitioning to find the missing part.
Build the Number
Which parts make the number?
413 = ?
760 = ?
809 = ?
537 = ?
Partition to Help Add
Use partitioning to add these numbers.
246 + 300 = ? Partition: ___ Answer: ___
382 + 200 = ? Partition: ___ Answer: ___
517 + 400 = ? Partition: ___ Answer: ___
Hundreds with Ten Frames
How many are filled? Multiply by 10 to find the total.
Partition Sequence
Each number follows a partition rule. Fill in the missing number.
Partition and Estimate
Estimate by rounding to nearest 10, then partition to find the exact answer.
324 + 215: Estimate: ___ + ___ = ___ Exact: ___
567 − 234: Estimate: ___ − ___ = ___ Exact: ___
Home Activity: Partition Games
Play partition games at home!
- 1Pick a 3-digit page number in a book. Can you partition it 4 different ways?
- 2Write a number. Challenge a family member to find 3 ways to partition it.
- 3Use base-10 blocks or coins to model a 3-digit number.
- 4Race: who can partition 10 different numbers fastest?
Partition 2-Digit Numbers
Partition each 2-digit number into tens and ones.
Partition 3-Digit Numbers — Set A
Partition each number into hundreds, tens and ones.
Partition 3-Digit Numbers — Set B
Non-standard partitioning. Fill in the missing part.
Partition Counting — Hundreds
Count by hundreds.
Partition Counting — Tens within Hundreds
Count by tens within the hundreds.
Which Partition Is Non-Standard?
Circle the non-standard partition.
374 can be partitioned as...
520 can be partitioned as...
Which is NOT a valid partition of 649?
Partition to Help Subtract
Which partition helps most?
To solve 472 − 200, partition 472 as...
To solve 635 − 30, partition 635 as...
Match: 3-Digit to Its Partition
Match each number to its correct standard partition.
Match: Non-Standard Partitions
Match each number to a valid non-standard partition.
Count Objects by Hundreds
Each sun represents 100. Count and write the total.
Count Tens with Objects
Each moon represents 10. Count and write the total.
Sort: Standard or Non-Standard?
Sort each partition.
Sort: Partition of 500 or Not?
Sort — which are valid partitions of 500?
Partition to Add Hundreds
Use partitioning to solve.
312 + 200 = ? Partition 312 = ___ + ___ Add 200 to the hundreds: ___ Answer: ___
457 + 300 = ? Partition 457 = ___ + ___ Answer: ___
Partition to Subtract Hundreds
Use partitioning to solve.
685 − 400 = ? Partition 685 = ___ + ___ Subtract 400 from hundreds: ___ Answer: ___
923 − 500 = ? Partition 923 = ___ + ___ Answer: ___
Find Pairs That Make 200
Write pairs of numbers that add to 200.
100 + ___ = 200
150 + ___ = 200
75 + ___ = 200
Write your own pair: ___ + ___ = 200
Find Pairs That Make 1,000
Write pairs of numbers that add to 1,000.
600 + ___ = 1,000
350 + ___ = 1,000
425 + ___ = 1,000
Write your own: ___ + ___ = 1,000
Partition Challenge
Partition each number in 3 different ways.
420: 1. ___ 2. ___ 3. ___
750: 1. ___ 2. ___ 3. ___
900: 1. ___ 2. ___ 3. ___
Write the Number from Clues
Use the clues to find the number.
I have 4 hundreds, 3 tens and 7 ones. I am: ___
I have 6 hundreds and 0 tens and 5 ones. I am: ___
I have 5 hundreds and 8 tens and 0 ones. I am: ___
I equal 200 + 60. I am: ___
Partitioning Word Problem
Use partitioning to solve this problem.
A school collected 365 cans in week 1 and 240 cans in week 2. How many altogether? Partition week 2: 200 + 40 Add to week 1: 365 + 200 = ___ Then add 40: ___
Partitioning Reflection
Write your thoughts about partitioning.
What is the difference between standard and non-standard partitioning? ___
Give an example of when non-standard partitioning is more helpful: ___
Which Answer Is Correct?
Use partitioning to choose the correct answer.
265 + 300 = ?
748 − 200 = ?
430 + 250 = ?
920 − 400 = ?
Partition Then Add
First partition 47 as 40 + 7, then use it to solve.
135 + 47 = ? (add 40 then 7)
253 + 47 = ? (add 40 then 7)
461 + 47 = ? (add 40 then 7)
Tally: Partition Methods Used
Record which partition method each student used.
| Item | Tally | Total |
|---|---|---|
H + T + O | ||
H + (TO) | ||
Non-standard |
Partition Scores
This graph shows how many students got each number of partitions correct.
| All 5 correct | |
| 3-4 correct | |
| 1-2 correct | |
| None correct |
How many students got all 5 correct?
How many students scored at least 3?
How many students were tested?
Partition the Biggest 3-Digit Number
Investigate 999.
Standard partition of 999: ___
List 4 non-standard partitions of 999: 1. ___ 2. ___ 3. ___ 4. ___
Why can a number be partitioned in so many ways? ___
Ten Frames — Partitioned View
How many are filled in each frame?
Home Activity: Coin Partitioning
Use coins to practise partitioning!
- 1Use $1, 10c and 1c coins to make different amounts. How many ways can you make $1.56?
- 2Take a number between 200 and 500. Write 5 different partitions.
- 3Ask a family member to give you a 3-digit number. Race to partition it in 3 ways.
- 4Partition the total of your shopping receipt using hundreds, tens and ones.
Partition True or False
Circle True or False for each partition statement.
423 = 400 + 20 + 3
756 = 700 + 56
819 = 800 + 10 + 9
542 = 500 + 40 + 2
Bridging Through Tens
Fill in the missing steps when bridging through a ten.
Non-Standard Partition Set C
Complete each non-standard partition.
Match Equivalent Partitions
Draw a line to match partitions that equal the same number.
Partition to Subtract — Two Steps
Use partitioning to subtract in two steps.
352 − 47 = 352 − 40 − 7 = ___ − 7 = ___
674 − 56 = 674 − 50 − 6 = ___ − 6 = ___
Explain why splitting the subtracted number makes this easier:
Partition to Add — Two Steps
Partition one addend then add in two hops.
237 + 48 = 237 + 40 + 8 = ___ + 8 = ___
465 + 37 = 465 + 30 + 7 = ___ + 7 = ___
Which step was hardest? Why?
Make 1,000 Challenge
Find two numbers that sum to 1,000 using partitioning.
600 + ___ = 1,000
750 + ___ = 1,000
Create your own pair that makes 1,000:
How did you use partitioning to find the missing part?
Sort: Non-Standard or Standard?
Sort these partitions into the correct column.
Partition Strategy Tally
Tally how many times each strategy was used.
| Item | Tally | Total |
|---|---|---|
Bridge through 10 | ||
H + T + O split | ||
Non-standard split | ||
Round and adjust |
Favourite Partition Method
This graph shows students' favourite partition method.
| Standard H+T+O | |
| Non-standard | |
| Jump strategy | |
| Number line |
How many students chose a jump strategy?
How many students were surveyed in total?
Which method was least popular?
Home Activity: Partition Kitchen
Use partitioning in the kitchen!
- 1Help measure 450 mL of water. Partition it into 400 mL + 50 mL.
- 2Count items in your pantry. Partition the total in 2 different ways.
- 3If you have 234 g of flour, write 3 different partitions.
- 4Help estimate the total cost of 3 grocery items by partitioning each price.
Partition Larger Numbers
Circle the correct partition for each 4-digit number.
1,234 = ___
5,678 = ___
Which is non-standard? 3,450 = 3000 + 400 + 50 or 3000 + 450?
Partitioning Patterns
Complete each partition sequence.
Partition 4-Digit Numbers
Partition each 4-digit number in standard form.
Match 4-Digit Partition
Match each 4-digit number to its standard partition.
Partition to Add 4-Digit Numbers
Use partition to solve these additions.
1,234 + 2,345 = ___ Show using partition:
4,506 + 1,392 = ___ Show using partition:
Sort 4-Digit Partitions: Standard or Non-Standard?
Sort each partition.
Home Activity: 4-Digit Number Partition Challenge
Practise partitioning 4-digit numbers!
- 1Find 5 four-digit numbers in a newspaper or book. Partition each in standard form.
- 2Partition the same number 3 different ways (standard and non-standard).
- 3Use partitioning to add two 4-digit numbers mentally.
- 4Make a set of partition cards: write a 4-digit number on one card and its partition on another. Play memory.