Exploring fractions and misconceptions. May 2011. Kindly contributed by Helen Holt, Lincoln College. Search for Helen on www.skillsworkshop.org Visit the download page for this resource to find detailed teaching notes, curriculum links and related resources. Curriculum links
May 2011. Kindly contributed by Helen Holt, Lincoln College.
Search for Helen on www.skillsworkshop.org
Visit the download page for this resource to find detailed teaching notes, curriculum links and related resources.
For underpinning the following Functional Maths coverage & range statements:
Entry 3 Understand and use simple fractions
Level 2 (Level 1) Understand and use equivalences between (common) fractions, decimals and percentages
Also covers many Adult Numeracy curriculum elements including
N2/E3.1 Read, write and understand common fractions
N2/E3.2 Recognise and use equivalent forms
N2/L1.1 Read, write, order and compare in words and figures common fractions and mixed numbers
N2/L1.3 Recognise equivalencies between common fractions, decimals and percentages and use these to find parts of whole number quantities
N2/L2.1 Use fractions to order and compare amounts or quantities
N2/L2.2 Identify equivalencies between fractions, decimals & percentages
Slides 8-9: You may want to provide printed grids for students to fill in or re-usable laminated grids and cards. A completed grid is provided on slide 16 – this can be copied into a Word document etc. as needed.
Slides 12-14 are for general discussion – not necessarily all at the same time! Adapt to suit your own learner group.
Functional MathsExploring Fractions and Misconceptions.
A fraction describes part of a whole when the whole is cut into equal parts.
This pizza has been cut into three equal parts. We call these thirds. A third is written as:
Think about two slices. Two slices is two thirds:
A same value can be written in different
forms. For example:
½ 0.5 50%
Is the same as:
Is the same as:
To convert a fraction into a decimal, divide the top of the fraction by the bottom of the fraction:
e.g. ½ = 1÷2 = 0.5
To convert a decimal into a percentage, multiply by 100:
e.g. 0.5 x 100 = 50%
Place the fraction, decimal and % cards into the correct blank spaces on the grid.
When might we use fractions:
When telling the time (e.g. ¼ past).
In shop sales (e.g. a 1/3 off, ½ price).
When measuring (e.g. ½ a metre).
When dividing (e.g. 1 pizza divided between 6 people).
In recipes (e.g. half a dozen).
When might we use decimals:
When working with money.
To show probability, or the likelihood of something happening.
To show how many whole and part numbers there are to a value (e.g. 3.25 means 3 whole numbers and one quarter of a whole number).
When might we use %:
Shops use percentages in sales.
Banks use them for loan rates, mortgages, savings accounts..
Weather forecasts use them to tell
us the chances of rain.
To calculate VAT and income tax.
When working in business we may choose between fractions, decimals and %s to make a sale item look more appealing to customers. For example, 20% off may sound more appealing than 1/5 off a sale item, even though they are really the same amount!
Take a look at this article. Notice how fractions are used to explain and analyse the results of the survey.