# 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.