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: 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.

Double or Half?: At ten percent change per day is doubling achieved faster than halving?

Grandmother: How far would grandma have travelled after a suitably large number of days given her walking regime?

Hundred and Fifty Percent: Divide 110 into two parts so that the larger part is 150% of the smaller part.

Rich or Poor?: An interesting outcome of percentage increase and decrease

Square Root of 1%: What is the square root of one percent?

#### Percentages Quiz

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

Transum.org/go/?to=percentagesquiz

### 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...

### Exam-Style Questions:

There are almost a thousand exam-style questions unique to the Transum website.

### Feedback:

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"

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"Really good site. Lots of good ideas for starters. Use it most of the time in KS3."

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"I have used your starters for 3 years now and would not have a lesson without one! Fantastic way to engage the pupils at the start of a lesson."

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"A Maths colleague introduced me to your web site and I love to use it. The questions are so varied I can use them with all of my classes, I even let year 13 have a go at some of them. I like being able to access Starters for the whole month so I can use favourites with classes I see at different times of the week. Thanks."

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"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!!"

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I rate this site as a 5!"

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Thanks"

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To the creator of this website and all of those teachers who have contributed to it, I would like to say a big THANK YOU!!! :)."

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Thanks for such a great resource!"

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

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Comment recorded on the 19 October 'Starter of the Day' page by E Pollard, Huddersfield:

"I used this with my bottom set in year 9. To engage them I used their name and favorite football team (or pop group) instead of the school name. For homework, I asked each student to find a definition for the key words they had been given (once they had fun trying to guess the answer) and they presented their findings to the rest of the class the following day. They felt really special because the key words came from their own personal information."

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

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I love you website I use it every maths lesson I have with every year group! I don't know were I would turn to with out you!"

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Keep it up and thank you!"

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Comment recorded on the 26 March 'Starter of the Day' page by Julie Reakes, The English College, Dubai:

"It's great to have a starter that's timed and focuses the attention of everyone fully. I told them in advance I would do 10 then record their percentages."

### 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:

Visualise Percentages: If you can picture in your mind what a percentage looks like you may be better able to preform mental calculations.

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

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

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

### Percentages Activities:

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

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.

Particular Pipes: Construct the pipes using a set number of pieces with lengths given as fractions, decimals or percentages.

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

Express Percentage Puzzle: Drag the numbers into the percentage statements to make them true.

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

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

Estimating Percentages: Estimate the percentages represented by the diagrams.

Percentage Switch: Practise percentage increase and decrease calculations by completing this table.

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

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

### Percentages Videos:

Transum's Percentages Video

Express as a Percentage: Here are some examples showing how to express one quantity as a percentage of another.

Percentage Change Video: When you have mastered working out percentages you can then apply that skill to calculating percentage increase, decrease and reverse percentages.

Fractions Decimals Percentages Video: A reminder of the quick methods of converting between fractions, decimals and percentages.

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.

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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### Other

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#### Interest

Practise using the formulas for simple interest and compound interest.

Transum.org/go/?to=interest

### Teaching Notes:

Many Transum activities have notes for teachers suggesting teaching methods and highlighting common misconceptions. There are also solutions to puzzles, exercises and activities available on the web pages when you are signed in to your Transum subscription account. If you do not yet have an account and you are a teacher, tutor or parent you can apply for one by completing the form on the Sign Up page.

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Wednesday, July 29, 2020

"HELP! How do you convert a fraction to a percentage? Do you multiply by 100 or do you multiply by 100% ? Textbooks differ and I have been having a conversation which is leaving me undecided. You can see the discussion here"

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