Fractions, Decimals and Percentages
Starter Activity - Write 50% in as many different ways as you can.
Write 1/4 in as many different ways as you can.
Write 0.2 in as many different ways as you can.
Question - What does 3/8 actually mean?
1. Understanding fractions
http://www.nationalstemcentre.org.uk/dl/5672f9c342c5ac2b6c126a6a52f3886a3a80752c/31171-1.06%20Fractions%20%28General%29.pdf - A snap style activity which allows students to understand equivelent fractions.
2. Converting fractions to decimals
3. Converting decimals to fractions
Question - What does 23% mean? (Aim is to discuss number of parts per hundred)
4. Converting percentages to fractions
We have already looked at converting fractions to decimals so students need to make the link that to get from a percentage to a decimal they should go from a percentage to a fraction to a decimal.
5. Converting percentages to decimals
6. Finding a fraction, decimal or percentage of an amount
http://www.tes.co.uk/teaching-resource/FDP-rich-task-6256970/ - Comparing discounts when booking a holiday and finding the cheapest price. (35% off, 3/5 off and 3 for the price of 2.)
Question - Is 40% of 32 the same as 32% of 40? (Resource is below)
7. Percentage increase and decrease
8. Simple Interest
http://www.bbc.co.uk/bitesize/standard/maths_i/numbers/interest/revision/1/ - A link to the bitesize website which explains how to calculate simple interest also involves interactive questions. (It could be a good homework activity)
General resources for converting between FDP
http://www.nationalstemcentre.org.uk/dl/8081560d789fc8df47187de7d72c0aae372b6c6b/33303-FractionsDecimalsandPercentages-Whodunnit.pdf - An activity which allows students to convert between FDP in a crime scene style activity.
http://www.tes.co.uk/TaxonomySearchResults.aspx?area=resources&keywords=tarsia+FDP - link to tarsia jigsaws on tes
http://www.tes.co.uk/teaching-resource/FDP-6386936/ - A powerpoint where students must determine what quantity is biggest or which quantity is the odd one out
http://www.tes.co.uk/teaching-resource/Who-Wants-to-be-a-Millionaire-FDP-6305118/ - Who wants to be a millionaire quiz
http://nrich.maths.org/content/id/5567/preview/ - A more extended task with a problem solving theme. Involves percentages.
Fractions
1. Understanding Fractions
Page 6 of the first pack allows students to visualise fractions in different ways.
Worksheets - Number
1. Understanding Fractions
Fraction Pies pdf - Allows students to shade a fraction of a pie. Also involves some simple percentages.
Arithmetic: Decimals, Fractions and Percentages
Arithmetic: Decimals, fractions and percentages. Covers the majority of the topic. Lots of questions on converting between the 3 forms. Builds up nicely and does each conversion separately.
40% of 70 = 70% of 40
Worksheets and prompts to discuss the question.
Using Percentages to Increase Quantities N7
7. Percentage increase and decrease.
A card sort activity allowing students to show the increase or decrease from one value to another. This is one of the standards unit resources.