Any of the multiplication results we get leading up to an overall multiplication result is a partial product.

Explain how to multiply a 3-digit number by a 2-digit number

Maths

Explain how to use long multiplication to multiply two 2-digit numbers regrouping ones to tens

Explain how to use long multiplication to multiply two 2-digit numbers with regrouping

Explain how to use long multiplication to multiply a 3-digit by a 2-digit number

Explain how to use long multiplication to multiply a 4-digit by a 2-digit number

Explain how to use the associative law to multiply efficiently

Explain when it is efficient to use factorising or long multiplication to multiply by 2-digits

Dividing numbers with up to 4 digits by multiples of 10

Using short and long division to divide by a 2-digit divisor

Dividing by a 2-digit divisor including using long division

Solve problems with 4-digit dividends using factors and long division

Dividing by a 2-digit divisor with a remainder

Use long division with fraction remainders

Use long division with decimal remainders

Solve problems involving remainders in context

In this unit pupils will learn to multiply a 3-digit by a 2-digit number They will use accurately short and long division and use a ratio chart to solve short and long division. In the future unit pupils will add, subtract, divide and multiply with integers, decimals, positive and negative values.

In the prior unit pupils will multiply a 3-digit number by a single-digit number using expanded and short multiplication. In this unit pupils will learn why the product stays the same when one factor is doubled and the other is halved and explain the effect on the product when scaling the factors by the same amount. 

In this unit pupils will extend their understanding of formal calculation strategies to multiply and divide by 2-digit numbers, explaining when other strategies are more efficient.

Multiplying and dividing by 2-digit numbers

Look at the grid model for 31 × 29 shown. 29 has been partitioned into …

Look at the part–part-whole model. The multiplication expression is:

Which of these part-part-whole models represents 315 × 12

Which of these part-part-whole models represents 55 × 13

Calculate 45 × 32 = {{ }} Use a grid model to show your thinking.

Calculate 145 × 33 = {{ }} Use a grid model to show your thinking.

Calculate the product using short multiplication 42 × 6 = {{ }}

Calculate the product short multiplication 223 × 5 = {{ }}

Sofia has £99 and Lucas has seven times this amount. How much money does Lucas have? £{{ }}

Explain how to multiply a 3-digit number by a 2-digit number

Lesson outcome