- 1. The Foundation: Times Tables and Vocabulary
Recall multiplication facts up to 12×12 fluently, use the terms factor, product, multiple, multiplier, and multiplicand accurately, identify factor pairs for numbers up to 144, and locate products on a multiplication grid.
- 2. The Power of Properties: Commutativity and Associativity
Apply the commutative and associative properties of multiplication to rearrange and regroup factors, simplify calculations using friendly number pairs, and show that different-looking multiplication facts are equivalent.
- 3. Column Multiplication: Putting It All Together
Multiply 2-digit and 3-digit numbers by 1-digit and 2-digit numbers using column multiplication, regroup (carry) correctly, and use placeholder zeros when multiplying by tens.
- 4. Extending to Decimals: Multiplying Decimals
Multiply decimals by integers and by decimals using the remove-and-adjust method, use column multiplication for larger calculations, and correctly position the decimal point in products.
- 5. Visualising Multiplication — Grids and Area Models
Use the grid method to multiply 2-digit numbers, connect it to the distributive property and column multiplication, draw area models, and apply the grid method to decimals.
- 6. Division — Concepts and Short Division
Understand division as sharing, grouping, and the inverse of multiplication; use dividend, divisor, quotient, and remainder; perform short division with remainders and decimals.
- 7. Division — Representing and Inverses
Represent division in multiple ways (sharing, grouping, repeated subtraction), use function machines to model division as the inverse of multiplication, complete function machines with missing inputs/outputs/operations, and combine two operations into a single equivalent operation.
- 8. Clever Division — Decomposing and Dividing Decimals
Use decomposition to divide numbers mentally by breaking them into factors; divide decimals by integers using place value understanding and the "remove and adjust" method.
- 9. Factors and Common Factors
Find factor pairs of numbers, list factors in order, identify common factors, and find the highest common factor (HCF).
- 10. Multiplicative Reasoning
Identify multiplicative relationships, find the multiplier that connects two numbers, use function machines, and apply multiplicative reasoning to solve problems.
- 11. Word Problems — Multiplication and Division
Identify clue words for operations, solve one-step and two-step word problems, interpret remainders in context, and apply multiplication and division to money and measurement.
- 12. Applying to Geometry — Area and Volume
Calculate area of rectangles and rectilinear shapes, volume of cuboids, using multiplication. Apply correct units (cm², m², cm³, m³).
