Transum Maths Software

Decimals

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Decimals. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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Decimals Starters:

Book Worm: Work out the distance the book worm needs to eat through to get to the back cover of the last book.

Calc-A-Hundred: A game for two players requiring a calculator and thinking skills.

Divided Age: How old is a person if when her age is divided by certain numbers, the calculator display ending are as shown.

Fraction Order: Arrange the fractions and decimals in order from smallest to largest.

Fractions Decimals Percentages: Convert fractions to decimals, decimals to percentages and percentages to fractions.

Loopy Lake: Match the fractions to their decimal equivalents and join them with lines that do not cross.

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.

Top Transfer: Beginning with 100 on your calculator, what is the largest and smallest totals you can end up with after travelling through each of the possible routes.

 

Small images of these Starters | | |  Complete Index of Starters

Featured Activity

Car Park Puzzle

Car Park Puzzle

Can you get your car out of the very crowded car park by moving other cars forwards or backwards? There are five levels of increasing difficulty and the interactive interface makes this a fun problem solving exercise.

 

Curriculum for Decimals:

Year 5

Pupils should be taught to read and write decimal numbers as fractions [for example, 0.71 = 71100] more...

Pupils should be taught to recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents more...

Pupils should be taught to read, write, order and compare numbers with up to three decimal places more...

Pupils should be taught to solve problems which require knowing percentage and decimal equivalents of ½, ¼, ⅕, ⅖, ⅘ and those fractions with a denominator of a multiple of 10 or 25 more...

Year 6

Pupils should be taught to solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate more...

Pupils should be taught to associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction more...

Pupils should be taught to identify the value of each digit in numbers given to three decimal places and multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places more...

Pupils should be taught to multiply one-digit numbers with up to two decimal places by whole numbers more...

Pupils should be taught to recall and use equivalences between simple fractions, decimals and percentages, including in different contexts. more...

Years 7 to 9

Pupils should be taught to order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥ more...

Pupils should be taught to use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative more...

Pupils should be taught to work interchangeably with terminating decimals and their corresponding fractions (such as 3.5 and 72 or 0.375 and 38 ) more...

Pupils should be taught to use standard units of mass, length, time, money and other measures, including with decimal quantities more...

Years 10 and 11

Pupils should be taught to {change recurring decimals into their corresponding fractions and vice versa} more...

Feedback:

Comment recorded on the 2 May 'Starter of the Day' page by Angela Lowry, :

"I think these are great! So useful and handy, the children love them.
Could we have some on angles too please?"

Comment recorded on the 28 May 'Starter of the Day' page by L Smith, Colwyn Bay:

"An absolutely brilliant resource. Only recently been discovered but is used daily with all my classes. It is particularly useful when things can be saved for further use. Thank you!"

Comment recorded on the 24 May 'Starter of the Day' page by Ruth Seward, Hagley Park Sports College:

"Find the starters wonderful; students enjoy them and often want to use the idea generated by the starter in other parts of the lesson. Keep up the good work"

Comment recorded on the 19 June 'Starter of the Day' page by Nikki Jordan, Braunton School, Devon:

"Excellent. Thank you very much for a fabulous set of starters. I use the 'weekenders' if the daily ones are not quite what I want. Brilliant and much appreciated."

Comment recorded on the 25 June 'Starter of the Day' page by Inger.kisby@herts and essex.herts.sch.uk, :

"We all love your starters. It is so good to have such a collection. We use them for all age groups and abilities. Have particularly enjoyed KIM's game, as we have not used that for Mathematics before. Keep up the good work and thank you very much
Best wishes from Inger Kisby"

Comment recorded on the 10 September 'Starter of the Day' page by Carol, Sheffield PArk Academy:

"3 NQTs in the department, I'm new subject leader in this new academy - Starters R Great!! Lovely resource for stimulating learning and getting eveyone off to a good start. Thank you!!"

Comment recorded on the 18 September 'Starter of the Day' page by Mrs. Peacock, Downe House School and Kennet School:

"My year 8's absolutely loved the "Separated Twins" starter. I set it as an optional piece of work for my year 11's over a weekend and one girl came up with 3 independant solutions."

Comment recorded on the 3 October 'Starter of the Day' page by S Mirza, Park High School, Colne:

"Very good starters, help pupils settle very well in maths classroom."

Comment recorded on the 3 October 'Starter of the Day' page by Mrs Johnstone, 7Je:

"I think this is a brilliant website as all the students enjoy doing the puzzles and it is a brilliant way to start a lesson."

Comment recorded on the 17 November 'Starter of the Day' page by Amy Thay, Coventry:

"Thank you so much for your wonderful site. I have so much material to use in class and inspire me to try something a little different more often. I am going to show my maths department your website and encourage them to use it too. How lovely that you have compiled such a great resource to help teachers and pupils.
Thanks again"

Notes:

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 รท 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.

Decimals Teacher Resources:

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

Fractions Decimals Percentages: Revise the methods for converting fractions to decimals and percentages.

Decimals Activities:

Decimal Plus: Practise mental and written methods for adding and subtracting decimal numbers.

Decimal Times: Practise mental and written methods for multiplying and dividing decimal numbers.

Fraction Decimal Pairs: The traditional pairs or Pelmanism game adapted to test knowledge of simple fractions and their equivalent decimals.

Fraction Line: Arrange the fractions in order from smallest to largest.

Fraction Order: Arrange the fractions and decimals in order from smallest to largest.

Fractions, Decimals, Percentages: An exercise on converting fractions to decimals, decimals to percentages and percentages to fractions.

Inequalities: Check that you know what inequality signs mean and how they are used to compare two quantities. Includes negative numbers, decimals, fractions and metric measures.

Reading Scales: A self marking exercise on the reading of scales of different types.

Recurring Decimals: Change recurring decimals into their corresponding fractions and vica versa.

Rounding SF: A self marking exercise requiring students to round numbers to a given number of significant figures.

Think of a Number: Ten students think of a number then perform various operations on that number. You have to find what the original numbers were.

Finally there is Topic Test, a set of 10 randomly chosen, multiple choice questions suggested by people from around the world.

Decimals Investigations:

Decimal Products: Find two decimal numbers that add up to exactly one. What is the product of these two decimals?

Decimals Videos:

Line up the dot: A cartoon illustrated rap song explaining addition and subtraction of decimals.

Multiplying and Dividing Decimals: A straight forward, no nonsense demonstration of the methods of multiplying and dividing decimals.

Decimals Worksheets/Printables:

Divided Age Worksheet: Additional questions for the 6th December Starter of the Day about the decimal part of quotients.

Take Sides Questions: Thirty pairs of numbers or calculations. Which one of the pair is the largest?

Decimals External Links:

Links to other websites containing resources for Decimals are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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Recently Updated

Fractions by Wholes

Fractions by Wholes

An exercise on multiplying and dividing proper fractions and mixed numbers by whole numbers. So far this activity has been accessed 50 times and 4 people have earned a Transum Trophy for completing it.

 

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