Curriculum placement
Grade 4. This describes the skill, not a learner estimate.
Multiplying with partial products
Multiply multidigit values using partial products
Problem types
- Judge products of a three-digit number and a one-digit number
- Multiply by one digit
- Multiply with an area model
- Find the tens partial product
- Multiply two multidigit numbers
- Facts through 12
- Complete an area model
- Where an area-model part comes from
- Partial products by place
Builds on
- Multiplying by a multiple of 10
- Properties of addition and multiplication
- Area of a rectangle · Earlier idea
Splitting a rectangle into parts shows a product as a sum of partial products.
- Number bonds to 10 · Earlier idea
Breaking a factor into parts, like 23 into 20 and 3, gives the partial products an area model adds up.
Leads to
- Converting to a smaller unit
- The standard multiplication algorithm
- Adding, subtracting, and multiplying polynomials · Extend the idea
The area model that splits 23 × 14 into partial products also multiplies (x + 3)(x + 4) term by term.
Related skills
- Reading a numerical expression · Shared foundations
Open the interactive map to explore lessons and skill connections.