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.

Dividing by a 2-digit divisor including using long division

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

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

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

Use the multiplication facts in the table to derive 40 × 13 = {{ }}

Use the multiplication facts in the table to derive 15 x 13 = {{ }}

If I know 17 × 5 = 85, I also know that 17 × 50 = {{ }}

Which of the following is a reasonable estimate for the following equation 918 ÷ 17 =

Calculate the equation using long division. 918 ÷ 17 = {{ }}

Match the multiplication equations to related division facts.

Match the division expressions to their quotients.

Complete the following equation using short division. 672 ÷ 12 = {{ }}

What is the missing working from this algorithm?

Which of the following is a reasonable estimate for the following equation 432 ÷ 12 =

Calculate the equation using long division.    432 ÷ 12 = ___

Dividing by a 2-digit divisor including using long division

Lesson outcome