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Part-Whole Models
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Foundational Skills
Identify parts and wholes
\[ 8 = 5 + 3 \text{ → } 5 \text{ is a…} \]
Recognise whether a number is a part or the whole.
Understand parts combine to make whole
\[ 4 + 6 = \square \]
Adding the two parts gives the whole.
Check if a part-whole model is correct
\[ 9 = 4 + 6 \text{ ?} \]
Verify whether the parts add up to the whole.
Part-Whole Within 10
Find the whole (within 10)
\[ 3 + 5 = \square \]
Add two parts to find the whole (sum ≤ 10).
Find a missing part (within 10)
\[ 8 = 5 + \square \]
Subtract to find the missing part.
Complete number bonds to 10
\[ 10 = 7 + \square \]
Find the complement to make 10.
Part-Whole Within 20
Find the whole (within 20)
\[ 8 + 7 = \square \]
Add two parts to find a whole up to 20.
Find a missing part (within 20)
\[ 15 = 9 + \square \]
Subtract to find the missing part (up to 20).
Complete number bonds to 20
\[ 20 = 13 + \square \]
Find the complement to make 20.
Teen number partitioning
\[ 17 = 10 + \square \]
Partition teen numbers into 10 and ones.
Part-Whole to 100 (Multiples of 10)
Find the whole (multiples of 10)
\[ 30 + 50 = \square \]
Add two multiples of 10 to find the whole.
Find a missing part (multiples of 10)
\[ 90 = 40 + \square \]
Subtract one multiple of 10 from another.
Number bonds to 100
\[ 100 = 60 + \square \]
Find the complement to 100 (multiples of 10).
Part-Whole to 100
Find the whole (two-digit)
\[ 36 + 42 = \square \]
Add two two-digit numbers to find the whole.
Find a missing part (two-digit)
\[ 85 = 47 + \square \]
Subtract a two-digit number to find the part.
Flexible partitioning
\[ 47 = 30 + \square \]
Partition numbers in non-standard ways.
Bridging 100
\[ 65 + 45 = \square \]
Add two numbers that sum to just over 100.
Part-Whole with Larger Numbers
Three-digit numbers
\[ 450 = 280 + \square \]
Work with three-digit numbers.
Four-digit numbers
\[ 2400 + 3500 = \square \]
Work with four-digit numbers.
Part-Whole for Problem Solving
Single-step addition problems
\[ \text{24 red + 35 blue} = \square \]
Solve addition word problems.
Single-step subtraction problems
\[ \text{56 total, 34 girls} = \square \text{ boys} \]
Solve subtraction word problems.
Comparison problems
\[ \text{47 = 29 more than } \square \]
Solve comparison problems using part-whole.
Two-step problems
\[ \text{25 + 18 + 32} = \square \]
Solve problems requiring multiple operations.
Extensions
Part-whole with three parts
\[ 60 = 15 + 25 + \square \]
Work with models that have three parts.
Part-whole with decimals
\[ 5.0 = 3.2 + \square \]
Apply part-whole models to decimal numbers.
Part-whole with fractions
\[ 1 = \frac{3}{4} + \square \]
Apply part-whole models to fractions.
Part-whole with mixed operations
\[ a = 12+15, \; b = a – 8 \]
Chain multiple part-whole models.
Timer (Optional)
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