Week 1 (22.02.21) – Fractions
Over the next couple of weeks in Maths, we will be taking our knowledge of fractions to the next level and learning about some different types of fractions that you may not have heard of before. This week, we will also look at how we can multiply a fraction by a whole number.
Lesson 1 – Converting Improper Fractions to Mixed Numbers
Have a look at the Bitesize lesson I have linked below. It will explain to you how we can convert improper fractions to mixed numbers.
An improper fraction is a fraction where the numerator (the top number) is bigger than the denominator (the bottom number). For example: 10/3 or 15/4
A mixed number is made up of a whole number and a fraction. For example: 3 1/2 or 5 3/4
Watch the videos on the Bitesize lesson and then have a go at one (or both!) of the worksheets at the bottom of the page. If you feel as though you need some more practise, I have put an extra worksheet onto our website that you could try. There are lots and lots of questions on these worksheets. Please don’t complete all of the questions, just have a go at a few until you feel confident! I have also put a picture below which shows you a handy trick for changing from an improper fraction to a mixed number, so have a look at that before you try any worksheet.
Lesson 2 – Converting Mixed Numbers to Improper Fractions
Watch this handy video to see how we can change from a mixed number to an improper fraction (the opposite way to our work yesterday). Then, have a go at the worksheet which I’ve uploaded the answers for. Like yesterday, please don’t try and finish all the questions on the worksheets, just have a go at some until you’re happy with the method. See the picture below which shows you a way you can think about these questions before trying any of the work.
Lesson 3 – Multiplying a fraction by a whole number
Read through the BBC Bitesize guide to see how to multiply a fraction by an integer (a whole number).
See the picture below which shows you the method I use to complete questions like these. Then, have a go at the questions posted on the guide and you could try the quiz at the bottom. (If your answer is an improper fraction, change it into a mixed number to keep the skills you learnt from lesson1 ticking over!) Alternatively, you could have a go at some of the questions on the worksheet I’ve uploaded.
Lesson 4 – Multiplying a mixed number by a whole number
We’re moving our learning on one step further today and we’re going to have a go at multiplying a mixed number by an integer. There are a couple of ways we can do this- watch the lady in the video explain how. Then, choose your favourite method and have a go at the quiz on the BBC Bitesize guide. I’ve also uploaded a worksheet for you so you can test your knowledge and understanding this way if you’d prefer. I’ve put another picture below which just sums up the two methods we can use when solving questions like these.
(Please note- this is a really tricky concept with lots of different steps. If you’re finding this too challenging, have a bit more practise at yesterday’s learning of just multiplying a fraction by a whole number.)
Lesson 5 – Consolidation
Today’s lesson is just about practising all the skills we have learnt this week: converting between mixed numbers and improper fractions, multiplying a fraction by a whole number and multiplying a mixed number by an integer. Please look back at the videos I have linked earlier in the week if you are feeling uncertain about any of these concepts.
I have created a Kahoot quiz for you to have a go at to test your understanding of all of the different things you have learnt. You can play it by following the link below. Like the Kahoot quizzes we set before the half term, you only need one device to complete the quiz on. Make sure you have a pencil and paper at the ready to do any working out. There is no time limit on the questions, so don’t rush- it’s much better for you to take your time with your working out and challenge yourself to get as many answers correct as possible. Good luck!