Decimals and Percentages
Term 2 starting in week 6 :: Estimated time: 3 weeks
- Decimals up to 2 d.p.
- Decimals as fractions (1)
- Decimals as fractions (2)
- Understand thousandths
- Thousandths as decimals
- Rounding decimals
- Order and compare decimals
- Understand percentages
- Percentages as fractions and decimals
- Equivalent F.D.P.
This page should remember your ticks from one visit to the next for a period of time. It does this by using Local Storage so the information is saved only on the computer you are working on right now.
Activities for pupils
Here are some related resources in alphabetical order. Some may only be appropriate for high-attaining learners while others will be useful for those in need of support. Click anywhere in the grey area to access the resource.
Place Value Chart This is a visual aid designed to be projected onto a whiteboard for whole class exposition about place value.
Place Value Enjoy this exercise to show you understand place value for decimals and numbers of any size.
The Value of Places Test your understanding of place value by comparing the values of digits in different positions within numbers.
Decimals Line A number line showing tenths and hundredths with draggable arrows. This is a visual aid designed to be projected onto a whiteboard for whole class exposition
Visualise Percentages If you can picture in your mind what a percentage looks like you may be better able to preform mental calculations.
Ordering Fractions Arrange the fractions and decimals in order from smallest to largest.
Fraction Order Video See a number of examples of putting decimals and fractions in order of size.
Fractions Decimals Percentages Revise the methods for converting fractions to decimals and percentages.
Fraction Decimal Pairs The traditional pairs or Pelmanism game adapted to test knowledge of simple fractions and their equivalent decimals.
Fraction Percentage Pairs The traditional pairs or Pelmanism game adapted to test knowledge of simple fractions and their equivalent percentages.
Fractions, Decimals, Percentages An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.
Click on a topic below for suggested lesson Starters, resources and activities from Transum.
- Decimals Working with decimals, for most pupils, presents little difficulty if the pupils have confidence working with whole numbers. The topic of decimals provides an extension to the place value system with the addition of tenths, hundredths, thousandths etc. For many pen and paper multiplication and division calculations the decimal numbers can be considered as whole numbers then the answers adjusted accordingly. So 2.4 x 2.34 can be considered as 24 x 234 ÷ 1000. The numbers are multiplied by ten and one hundred respectively then the answer needs to be divided by the ten and one hundred to compensate. Pupils should use their understanding of place value to round decimal numbers. They should also use decimal numbers in the context of measures and money. This topic also contains activities which encourage pupils to investigate and explore the properties of decimal numbers and gain a better understanding of them.
- Fractions A fraction is a part of a number. Fractions are either vulgar or decimal. Vulgar fractions can be proper, improper or mixed. Equivalent fractions have the same value. Pupils, at all stages of their learning, should practise using fractions. From dealing with halves, the most basic fraction, to manipulating algebraic fractions containing surds, this topic is always relevant. Proficiency also depends on reasonable numeracy skills particularly the multiplication tables and finding the lowest common multiple of two numbers. Pupils also need to be able to convert vulgar fractions to decimals and percentages and vice versa. Be wary of teaching the 'rules' for manipulation fractions by rote. Pupils need to understand the reason why and the time-honoured key to understanding starts with the imaginary pizza and the much-used fraction wall.
- Percentages Percentages provide a useful and common way to express a part of a quantity. The word is derived from the Latin per centum meaning “by the hundred”. Although percentages are usually used to express numbers between zero and one, any ratio can be expressed as a percentage. Pupils begin working with common percentages such as 50%, 25% and 10% and practise estimating percentages to get a better understanding of the concept. They then learn how to convert percentages to decimals and vulgar fractions and vice versa. More advanced problem solving may include percentage change and how it is applied in real life to discounts and interest. A study of the use of percentages in the media can provide many discussion points and can provide a stimulus for classroom display work.
Lesson Starters
Here are some suggestions for whole-class, projectable resources which can be used at the beginnings of each lesson in this block.
1st Lesson
Book Worm
Work out the distance the book worm needs to eat through to get to the back cover of the last book.
2nd Lesson
Fraction Order
Arrange the fractions and decimals in order from smallest to largest.
3rd Lesson
Fractions Decimals Percentages
Convert fractions to decimals, decimals to percentages and percentages to fractions.
4th Lesson
Loopy Lake
Match the fractions to their decimal equivalents and join them with lines that do not cross.
5th Lesson
Noodlewhack
Divide one whole number by another on your calculator. If the answer has one digit repeated but no other digits you have a Noodlewhack.
6th Lesson
All for 100
Can you write an ex
Some of the Starters above are to reinforce concepts learnt, others are to introduce new ideas while others are on unrelated topics designed for retrieval practice or and opportunity to develop problem-solving skills.
