National curriculum content
- Solve problems which require answers to be rounded to specified degrees of accuracy
- Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts
- Decimal and fraction equivalents
- Fractions as division
- Understand percentages
- Fractions to percentages
- Equivalent fractions, decimals and percentages
- Order fractions, decimals and percentages
- Percentage of an amount- one step
- Percentage of an amount- multi-step
- Percentages- missing values
What we want children to know
- They will use ‘number of parts per hundred’ alongside the % symbol.
- How to convert fractions to equivalent fractions where the denominator is 100 in order to find the percentage equivalent.
- Use their knowledge of common equivalent fractions and decimals to find the equivalent percentage.
- Convert between fractions, decimals and percentages to enable them to order and compare them.
- Use known fractional equivalences to find percentages of amounts.
- Find multiples of 10% and other known percentages.
- Explore different methods of finding certain percentages e.g. Finding 20% by dividing by 10 and multiplying by 2 or by dividing by 5. They also explore finding 5% by finding half of 10%. Using these methods, children build up to find percentages such as 35%.
- Use their understanding of percentages to find the missing whole or a missing percentage when the other values are given.
What skills we want children to develop
Use knowledge to solve reasoning and problem solving questions such as:
Fill in the missing values to make this statement correct.
Can you find more than one way?
Make up an example/Give further examples
How many ways can you find 45% of 60?
Use similar strategies to find 60% of 45.
What do you notice? Does this always happen? Can you find more examples?
50% of 40 = ____% of 80
___% of 40 = 1% of 400
10% of 500 = ____% of 100
Put the following amounts in order, starting with the largest.
23%, 5/8, 3/5, 0.8
- What does the word ‘percent’ mean?
- How can you convert tenths to hundredths?
- Why is it easy to convert fiftieths to hundredths?
- What other fractions are easy to convert to percentages?
- How does converting a decimal to a fraction help us to convert it to a percentage?
- How do you convert a percentage to a decimal?
- Can you use a hundred square to represent your conversions?
- Do you prefer to convert your numbers to decimals, fractions or percentages? Why?
- Why do we divide a quantity by 2 in order to find 50%?
- How do you calculate 10% of a number mentally?
- What’s the same and what’s different about 10% of 300 and 10% of 30?
- Is dividing by 10 and multiplying by 5 the most efficient way to find 50%? Explain why.
- Is dividing by 10 and multiplying by 9 the most efficient way to find 90%? Explain why.
- How many ways can you think of to calculate 60% of a number?
- If we know a percentage, can we work out the whole?
- If we know the whole and the amount, can we find what percentage has been calculated?