Transum Maths Software

Percentages

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 Percentages. 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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Percentages Starters:

Estimating Percentages: Estimate the percentages of full circles and rectangles the sectors represent.

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

High Interest: Finding a good personal loan requires an ability to calculate percentage and this page provides some practice.

In Your Head 1: Here are the simple percentage calculations everyone should be able to do in their heads.

Odd Percent Out: A number of simple percentage calculations are given. The answers are in pairs. Which is the odd one out?

PercenTable: Complete the table by calculating common percentages without using a calculator.

Quick Percentages: Simple percentage questions appear on screen then fade every 8 seconds. This Starter is customisable.

Scaramouche: Can you work out from the five clues given what the mystery number is?

Sid's Schemes: Work out which is the best scheme for Sid to choose for his summer bonus. One scheme involves a common misconception about percentages.

Structured Settlement: Without a calculator match a a pie slice to a calculation to an answer.

 

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

Featured Activity

Triangle Solver

Triangle Solver

This simple calculator will work out the lengths of the sides and the size of the angles of any triangle given thee particular pieces of information.

 

Curriculum for Percentages:

Year 5

Pupils should be taught to recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal 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 of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison 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 solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics more...

Pupils should be taught to define percentage as ‘number of parts per hundred’, interpret percentages and percentage changes as a fraction or a decimal, interpret these multiplicatively, express one quantity as a percentage of another, compare two quantities using percentages, and work with percentages greater than 100% more...

Pupils should be taught to interpret fractions and percentages as operators more...

Years 10 and 11

Pupils should be taught to set up, solve and interpret the answers in growth and decay problems, including compound interest {and work with general iterative processes} more...

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Comment recorded on the 5 April 'Starter of the Day' page by Mr Stoner, St George's College of Technology:

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"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
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Comment recorded on the 11 January 'Starter of the Day' page by S Johnson, The King John School:

"We recently had an afternoon on accelerated learning.This linked really well and prompted a discussion about learning styles and short term memory."

Comment recorded on the 10 April 'Starter of the Day' page by Mike Sendrove, Salt Grammar School, UK.:

"A really useful set of resources - thanks. Is the collection available on CD? Are solutions available?"

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

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Thanks again"

Notes:

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.

Percentages Teacher Resources:

Compound Interest Calculator: A customised online calculator for quickly finding the solutions to compound interest problems.

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

Percentages: Practise calculating simple percentages in your head with this animated visual aid.

Percentages Activities:

Estimating Percentages: Estimate the percentages represented by the diagrams.

Express as a Percentage: This self-marking quiz requires you to work out what one quantity is as a percentage of a second quantity.

Fraction Percentage: Match the fraction with the equivalent percentage. A drag and drop self marking exercise.

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.

Interest: Practise using the formulas for simple interest and compound interest.

Percentage Change: Test your understanding of using percentages with this self marking quiz about percentage change.

Percentages: A multi-level quiz on finding percentages. The lower level questions can be done mentally while the highest level questions require a calculator.

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

Percentages Videos:

Percentages: A short silly animated music video.

What Are Percentages?: A light-hearted look at percentages from Math Antics.

Percentages Worksheets/Printables:

Test Scores To Percentages: A printable conversion table for teachers needing to convert a lot of test scores to percentages.

Percentages External Links:

Links to other websites containing resources for Percentages 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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Masad

Masad

For each pair of numbers subtract the sum from the product then divide the result by 20 without a calculator. So far this activity has been accessed 4983 times and 3 people have earned a Transum Trophy for completing it.

 

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