Decimals
Term 2 starting in week 5 :: Estimated time: 2 weeks
- Decimals up to 2 decimal places (review)
- Understand thousandths (review)
- Three decimal places
- Multiply by 10, IOO and 1,000
- Divide by 10, 100 and 1,000
- Multiply decimals by integers
- Divide decimals by integers
- Division to solve problems
- Decimals as fractions
- Fractions to decimals (1)
- Fractions to decimals (2)
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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.
Equivalent Fractions Video Learn about equivalent fractions and how to express fractions in their lowest terms.
Place Value Revise the concept of place value for whole numbers and decimals. This video is to help you do the online, self-marking exercise.
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
Equivalent Fractions Practise finding equivalent fractions numerically and in fraction diagrams.
Equivalent Fraction Pairs The traditional pairs or Pelmanism game adapted to test knowledge of equivalent fractions.
Fraction Spinners Know the properties of the fractions randomly produced by the two spinners.
Visualise Percentages If you can picture in your mind what a percentage looks like you may be better able to preform mental calculations.
Numbers in Words Find the five lettered mathematical words by matching numbers with their equivalent in words.
Fraction Dissect Draw lines to dissect the rectangles to make the given fractions.
Decimal Multiplication and Division Video See the most efficient pencil-and-paper methods for multiplying and dividing decimal numbers.
Decimal Times Practise mental and written methods for multiplying and dividing decimal numbers.
Candles on Cakes Drag candles on to the place-value birthday cakes to make the numbers given by clues and puzzles.
Know Your Place Without a calculator perform some calculations requiring a knowledge of place value.
Particular Pipes Construct the pipes using a set number of pieces with lengths given as fractions, decimals or percentages.
Mileometer Practise converting between miles and kilometres with this self marking quiz.
Fractions, Decimals, Percentages An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.
Measuring Units Check your knowledge of the units used for measuring with this self-marking quiz about metric and imperial units.
Sorting Units Order the ten containers according to their value (money, length and weight)
Metric Units Pairs Find the matching pairs of equivalent metric units in this interactive online game.
One Minute Maths A challenge to mentally add numbers together without making the classic place value mistakes.
Fractions Decimals Percentages Video A reminder of the quick methods of converting between fractions, decimals and percentages.
If Then What? Deduce multiplication and division results from a related calculation.
Thai Restaurant Calculate the restaurant bills for each of the tables in the Thai Restaurant.
Powten Practise multiplying and dividing by powers of ten without using a calculator.
Quick Can you multiply a number by 1001 in your head? This exercise provides practice in this and other similar challenges.
Imperial Units Learn about common imperial units and how they relate to other units of measurement.
Imperial Units Pairs Find the matching pairs of equivalent imperial units in this interactive online game.
Converting Standard Units Converting measurements of length, mass, volume and time from one unit of measure to another.
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.
- Mensuration Mensuration is the branch of Mathematics dealing with measurement of angles, length, area, and volume. It is linked closely to the topic of Estimation and related to the topics of Angles, Shape and Shave (3D). It is essential for pupils to have an understanding of the units used to measure which include both the more common metric units and the Imperial units still in common usage. We have found a good teaching strategy is to ask each of the pupils to "Bring to the next Maths lesson some visual aid which will help the rest of the class remember the size of a unit of measurement". See Memorable Measures below for the printable resources. This activity provides an association with a unit, a visual aid and a known person which is a great memory enhancer.
- 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.
- Place Value Positional notation or place-value notation is a method of representing or encoding numbers. Positional notation is distinguished from other notations (such as Roman numerals) for its use of the same symbol for the different orders of magnitude (for example, the "ones place", "tens place", "hundreds place"). This greatly simplified arithmetic and led to the quick spread of the notation across the world.
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
Divided Age
How old is a person if when her age is divided by certain numbers, the calculator display ending are as shown.
2nd Lesson
Book Worm
Work out the distance the book worm needs to eat through to get to the back cover of the last book.
3rd Lesson
Calc-A-Hundred
A game for two players requiring a calculator and thinking skills.
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
Refreshing Revision
It is called Refreshing Revision because every time you refresh the page you get different revision questions.
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.
