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

The process of unitising and exchanging between place values is known as regrouping.

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

Maths

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

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 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

Identify the expression needed to solve this problem: An event sells 427 tickets for £17 each. How much money do they make on these tickets?

Select the correct long multiplication layout for 343 × 27

Complete the long multiplication algorithm to find the product of 162 and 32

Look at the long multiplication below. How many tens have been regrouped? {{ }} tens

There are 231 torch handlers for each leg of the relay. If there are 33 legs of the relay, how many torch handlers are involved in total?

Sam shuffles some cards and arranges them into a long multiplication algorithm. Use this to calculate the product.

Match the square numbers to the correct expression.

Select the correct long multiplication layout for 43 × 27

Look at the long multiplication below, how many tens have been regrouped? {{ }} tens

Identify the expression needed to solve: In the Olympic gift shop, Sam and Andeep are organising t-shirts. Each display rack holds 29 t-shirts, and there are 37 display racks in the shop. 

In the Olympic gift shop, Sam and Andeep are organising t-shirts. Each display rack holds 25 t-shirts and there are 39 display racks in the shop. How many t-shirts are there altogether? {{ }} t-shirts

There are 46 torch handlers for each leg of a relay. If there are 68 legs of the relay, how many torch handlers are involved in total? {{ }} torch handlers

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

Lesson outcome