Here are suggested activities linked to your weekly overview for Week 7 (25.05.20). This week's focus is Fractions. You should have a little bit of knowledge about fractions from P3/4 and your mental maths tables. Spend some time watching the videos and looking through the PPTs which will help you through this area of Numeracy. For the lessons, you’ll have a few worksheets you can complete linked to your Numeracy group. Please make sure you choose the correct activity. You do not need to do all the worksheets for all the groups...just your group. Remember to check out Studyladder too where you will find a Fractions POD to work on. If you need any help or further explanations... please email your teacher. We are only too happy to help.
Numeracy Lesson 1 – Introduction to Fractions
What is a fraction?
A fraction represents part of a whole. When something is broken up into a number of parts, the fraction shows how many of those parts you have.
Pictures of Fractions
Sometimes the best way to learn about fractions is through a picture. See the pictures below to see how the whole of a circle can be broken up into different fractions. The first picture shows the whole and then the other pictures show fractions of that whole.
Numerator and Denominator
When writing a fraction there are two main parts: the numerator and the denominator. The numerator is how many parts you have. The denominator is how many parts the whole was divided into.
Fractions are written with the numerator over the denominator and a line in between them. Have a look at the following videos and PPTs which explain a little more about talking about fractions of things.
If you think you’ve got this…why don’t you try playing the following games to help you practice and then try your worksheets for today if you can.
Numeracy Lesson 2 – Finding a Fraction of a Number
Yesterday we spent some time looking at what fractions were and shading some fractions. Today we’d like you to find fractions of numbers. You were practising this a few weeks ago in your weekly tables. You need to remember:
D for Denominator = D for dividing
To find a fraction of a particular number, you divide by the bottom number. Have a little watch at the following video. It goes into finding ¾ etc. of a number, but in P5, we just need to focus on finding ½, ¼ etc.
So it’s really easy:
1/5 of numbers means to divide by 5, so… 1/5 of 25 = 25 divided by 5 = 5 etc.
1/3 of number is dividing by 3, so… 1/3 of 24 = 24 divided by 3 = 8
Why don't you practice these tables here (Please only choose numbers with a 1 on the top (Numerator))?
If you want to find more than 1/3 of something, e.g. 2/3 why don’t you have a read here which explains this a little further. You can have a try at this at the bottom of Worksheet 2 and you’ll need this skill to complete the Fraction Avenue Extension Activity too.
A step further is to find the fraction of larger numbers by doing a written division sum. This may be important in real life when you need to find the fraction of the cost of something. Why don’t you practice your written division by having a go at some of these? Use your workbook and give them a go.
Numeracy Lesson 3 – Equivalent Fractions
Sometimes fractions may look different and have different numbers, but they are equivalent or have the same value.
One of the simplest examples of equivalent fractions is the number 1. If the numerator and the denominator are the same, then the fraction has the same equivalent value as 1.
When fractions have different numbers in them, but have the same value, they are called equivalent fractions. This means that they are EQUAL!
Let's take a look at a simple example of equivalent fractions: the fractions ½ and 2/4. These fractions have the same value, but use different numbers. You can see from the picture below that they both have the same value.
How can you find equivalent fractions?
Equivalent fractions can be found by multiplying or dividing both the numerator and the denominator by the same number.
Watch the following videos which explain Equivalent fractions a little more. (Please ignore the American video where they refer to quarters as ‘fourths’. We’d prefer you to use quarters)
Maybe you have some Lego or blocks at home. These can help you lots with your fractions and especially with your equivalent fractions. Have a watch of this video to see how.
Why don’t you have a go at the following worksheets taking your time and working carefully. You can do it!
Use this link to an interactive fraction wall to help you with the worksheets https://www.visnos.com/demos/fraction-wall , or you could print off the fraction wall and colour it in or you could make your own fraction wall from Lego.
If you think you’ve mastered equivalent fractions, have a go at playing this game. It’s a good one and makes you think about your fractions. Don’t forget to use your fraction wall to help you if you wish.
Lesson 4 – Making 1 whole thing or subtracting from 1 whole
We would also like you to think about making 1 whole thing and taking fractions away from 1 whole thing. It may be useful to use a fraction wall to help you do this. There is a picture of one below and a link to an interactive one.
So, if I had 6/11 and I wanted to make 1 whole thing. How many more ‘elevenths’ would I need?
Well, how many ‘elevenths’ make one whole thing…that would be 11. If I already have 6 of them, then I need another 5 and the answer would be 5/11 (5 elevenths).
If I was trying to subtract from 1 then you need to think about your bottom number again – it’s called the denominator which basically means, it’s the boss!
1 – 5/7 =? If I started with 1 whole thing and wanted to take away 5/7 (5 sevenths). Well how many sevenths would make a whole thing? That would be 7. If I take 5 of them away, then I am left with 2 and my answer is 2/7 (2 sevenths). Why don’t you practice by playing the following game and then trying your worksheets for today? Always try to visualize you fractions in pizzas…..YUM!