A remainder is an amount left after a division.

A decimal number has a decimal point followed by digits that show the fractional part.

Equivalent refers to when two or more things have the same value.

Use long division with decimal remainders

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

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

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 different ways to represent a division remainder with their example. 

283 ÷ 4 = 70 $$ {3} \over{4}$$ Simplified Fraction

Select the answer which would be best to use for the following question: 
283 flamingos need to be shared between 4 different zoos, how many flamingos would there be at each zoo?

Select the answer which would be best to use for the following question:
It costs £283 per week to feed 4 sea lions at the zoo. 
How much does it cost to feed one sea lion each week?

Select the answer which would be best to use: Some bears have cooked potatoes as part of their diet.
283 potatoes are shared equally between 4 bears, how many potatoes does each each bear have?

Buddy’s dog food costs £561 per year. 
Buddy eats one bag of food each month. 
How much does one of Buddy’s food bags cost? Give your answer as a decimal in pounds. £{{ }} per bag.

Pratchett the tortoise walks 3.675km in June. 
How far did he walk each day? Give your answer as a decimal, in metres. {{ }} m per day.

Use the multiplication facts to derive 31 × 16 = {{ }}

Match the fractions with an equivalent fraction.

Match the fractions with an equivalent decimal.

Match the division equations to their simplified fraction remainders.

Which of these correctly show the result with a simplified fraction remainder?

In June, one giraffe at the zoo ate 1,370kg of acacia leaves. How many kg did the giraffe eat each day? Which of these correctly show the result with a simplified fraction remainder?

Use long division with decimal remainders

Lesson outcome