Estimate means to find a value that is close enough to the right answer, usually with some thought or calculation involved.

Long division is a method used for dividing large numbers by breaking the number down into smaller groups.

A remainder is an amount left after a division.

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

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 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

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

Match the multiplication equations to related division facts.

Which part of the equation is written above the division frame?

What is the missing digit in this short division?

Which of the following is a reasonable estimate for the following equation. 576 ÷ 12 = 

Calculate the equation using long division. 576÷ 12 = {{ }}

The result after division has taken place.

Use 27 × 3 = 81 to calculate 27 × 6 = {{ }}

Which expression could help to solve this problem?

Which expressions could you use to solve this problem? Some tomatoes have a total mass of 1.44 kg. Each tomato has a mass of 80 g. How many tomatoes are there altogether?   

Sam’s mum takes part in an 2.7 km swimming race. She swims 60 m in one minute. How long will it take her to complete the race? {{ }} minutes.

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

Lesson outcome