fractions of quantities, basic fractions.pptx

learn about fractions and its quantities

1. Find a unit fraction of a quantity using representations Find unit and non-unit fractions of whole numbers exploring parts and wholes

2. I can use representations to find a unit fraction of a quantity.

3. A representation is a way of showing an idea or concept. One concept can be be shown by multiple representations .

4. In this lesson, you will meet: Jun Lucas Showing a unit fraction of an amount

5. How can we describe this bar model? Showing a unit fraction of an amount 1 The whole has been divided into ___ equal parts. Each part is _________ - __________ of the whole. The whole has been divided into 4 equal parts. Each part is one - quarter of the whole.

6. How can we describe this bar model? Showing a unit fraction of an amount The whole has been divided into ___ equal parts. Each part is _________ - __________ of the whole. 1 6 one sixth

7. How could you share these oranges into equal parts? Showing a unit fraction of an amount We could share them into two equal parts. The whole has been divided into ___ equal parts. 2 Each part is one- __________ of the whole. half

8. How could you share these oranges into equal parts? Showing a unit fraction of an amount We could share them into two equal parts. We could also share them into three equal parts. The whole has been divided into ___ equal parts. 3 Each part is one- __________ of the whole. third

9. How could you share these oranges into equal parts? Showing a unit fraction of an amount What about four equal parts? The whole has been divided into ___ equal parts. Each part is one- __________ of the whole. The whole has been divided into 4 equal parts. Each part is one- quarter of the whole.

10. How could you share these oranges into equal parts? Showing a unit fraction of an amount Any other ways? What about six equal parts? The whole has been divided into ___ equal parts. 6 Each part is one- __________ of the whole. sixth

11. How could you share these oranges into equal parts? Showing a unit fraction of an amount Yes! We could also do 12 equal parts. The whole has been divided into ___ equal parts. Each part is one- __________ of the whole. The whole has been divided into 12 equal parts. Each part is one- twelfth of the whole.

12. What fraction of the whole is shaded? Showing a unit fraction of an amount 1 The whole has been divided into 9 equal parts. Each part is one-ninth.

13. Show one-third of the whole. Showing a unit fraction of an amount Each part represents one-third so you could have picked any of them.

14. Showing a unit fraction of an amount The whole has been divided into ___ equal parts. 2 Each part is one- __________ of the whole. half 3 third 6 sixth 9 ninth 1) How many different ways can you complete the stem sentence? Use counters or cubes to show the ways.

15. Showing a unit fraction of an amount 2) Shade or circle one-third of each of the following. a) b) c)

16. How could you describe this representation ? Finding the value of a unit fraction 12 2 2 2 2 2 2 Each part is one- __________ of the whole. One- __________ of ___ oranges is ___ oranges. Each part is one- sixth of the whole. One- __________ of ___ oranges is ___ oranges. Each part is one- sixth of the whole. One- sixth of ___ oranges is ___ oranges. Each part is one- sixth of the whole. One- sixth of 12 oranges is ___ oranges. Each part is one- sixth of the whole. One- sixth of 12 oranges is 2 oranges.

17. Can you hand me one-sixth of the oranges, please? Finding the value of a unit fraction Every two oranges are equivalent to one-sixth of the whole. Or you could have chosen this pair. So I could choose this pair of oranges. In fact, you could have chosen any pair!

18. Let’s look at another example. Finding the value of a unit fraction There are 12 oranges that make up the whole. Now the whole has been divided into 3 equal parts. 12 Each part has a value of 4 4 4 4

19. How could you describe this representation ? Finding the value of a unit fraction When ___ oranges are divided into ___ equal parts, there are ___ oranges in each part. 12 12 4 4 4 3 4

20. How could you describe this representation ? Finding the value of a unit fraction 12 3 3 3 3 When ___ oranges are divided into ___ equal parts, there are ___ oranges in each part. 12 4 3

21. How could you describe this representation ? Finding the value of a unit fraction 12 3 3 3 3 Each part is one- __________ of the whole. One- __________ of ___ oranges is ___ oranges. Each part is one- quarter of the whole. One- __________ of ___ oranges is ___ oranges. Each part is one- quarter of the whole. One- quarter of ___ oranges is ___ oranges. Each part is one- quarter of the whole. One- quarter of 12 oranges is ___ oranges. Each part is one- quarter of the whole. One- quarter of 12 oranges is 3 oranges.

22. Finding the value of a unit fraction One third of the whole equals 4 Tick the representation that represents this. 3 3 3 3 12 12 4 4 4 12 3 3 3

23. Tick the statement that matches the representation . Finding the value of a unit fraction One-quarter of 20 is equal to 5 One-fifth of 20 is equal to 4 One-twentieth of 4 is equal to 5 5 5 5 5 20

24. Finding the value of a unit fraction Complete the stem sentences for each image. 24 3 3 3 3 3 3 3 3 When 9 strawberries are divided into 3 equal parts, there are 3 strawberries in each part. Each part is one- third of the whole. One- third of 9 strawberries is 3 strawberries. When 10 counters are divided into 5 equal parts, there are 2 counters in each part. Each part is one- fifth of the whole. One- fifth of 10 counters is 2 counters. When 24 is divided into 8 equal parts, there is 3 in each part. Each part is one- eighth of the whole. One- eighth of 24 is 3 .

25. Finding the value of a unit fraction 2) Tick the statements that are true? Draw a bar model for each one. One-third of 15 is 5 One-fifth of 15 is 3 One-seventh of 21 is 4 One-tenth of 100 is 10 One-ninth of 81 is 9 15 5 5 5 15 3 3 3 3 3 21 3 3 3 3 3 3 3 100 10 10 10 10 10 10 10 10 10 10 81 9 9 9 9 9 9 9 9 9