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

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

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 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

When using the long multiplication layout the __________ number usually goes at the top.

Look at the long multiplication layout below. What are the highlighted numbers in the box known as?

Look at the long multiplication. Complete it to calculate the product.

Match the expressions to the correct amount of regrouping.

Use long multiplication to calculate. A football match is selling tickets at £24  It sells 24 tickets on Monday. How much money was made on Monday? £{{ }}

Use long multiplication to calculate.  A football match is selling tickets at £24  It sells 116 tickets on Monday. How much money was made altogether? £{{ }}

Look at the grid model for 31 × 33 shown. 33 has been partitioned into…

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

Which of these part-part-whole models represents 552 × 17

Calculate 245 × 3 = {{ }} using short multiplication.

Calculate 645 × 7 = {{ }} using short multiplication.

Class 6 at Oak Academy has 227 sheets of stickers. Each page has 5 stickers. How many stickers do they have altogether? {{ }} stickers

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

Lesson outcome