Grade 4 Maths · Multi-digit multiplication
Break a big build into smaller rectangles, multiply each part, and add them up — the same way an area model splits a wall into blocks.
Section 1 · Area model
By the end of this section I can break a two-digit by two-digit product into four smaller areas and add them — so I can reason about any rectangular build without a calculator.
Tick each one when you can do it without help.
A wall that is 23 blocks long and 14 blocks tall is just a rectangle. Split each side into tens and ones and you get four smaller rectangles — each one easy to multiply.
For 23 × 14, write 23 = 20 + 3 and 14 = 10 + 4. Each region holds one partial product.
Interactive · area model builder
Check yourself
Use an area model for 31 × 12. Split 31 into 30 + 1 and 12 into 10 + 2. What is the total?
A floor is 24 blocks by 13 blocks. Use an area model to find how many blocks fill it.
A column of blocks only needs two regions: tens and ones. This is the simplest area model and a good warm-up for bigger walls.
Check yourself
A chest holds 53 stacks, and each stack has 8 items. Use a tens-and-ones area model to find the total.
A beacon gives a bonus for 34 blocks, each worth 9 points. How many points total?
Section 2 · Partial products
By the end of this section I can record partial products as equations and apply the method to Minecraft word problems.
Tick each one when you can do it without help.
The area model shows the same four products as a list of equations. Writing them out keeps your work tidy and easy to check.
Check yourself
Use partial products to compute 42 × 18. Multiply 42 by the tens of 18, then by the ones, then add.
Compute 35 × 26 using partial products.
Stacks, walls and floors all become multiplication. Read carefully, decide the two factors, then use partial products.
Check yourself
You have 24 stacks, each holding 64 blocks. How many blocks is that in total?
A wall is 16 blocks long and 12 blocks tall. How many blocks fill the wall?
Same Grade 4 Math outcomes, rebuilt around whatever your child is into this week - dinosaurs, Minecraft, horses, you name it.
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