malt©2006 maths/fractions slide show : lesson 2 fractions lesson 2 understanding mixed numbers and...

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MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

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Page 1: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

Fractions Lesson 2Understanding mixed

numbersand improper fractions

Page 2: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

These numbers are called

fractions12 3

15

56

23

47

1222

Page 3: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

These numbers are called

Improper fractions3

2 2015

86

73 11

7

12 2

Page 4: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

What do you notice about

Improper fractions?3

2 2015

86

73 11

7

12 2

Page 5: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

All the improper fractions have the top number

bigger than the bottom number.

32 20

15

86

73 11

7

12 2

Page 6: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

That means that these improper fractions are

greater than 1.

32 20

15

86

73 11

7

12 2

Page 7: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

That means that these improper fractions are

greater than 1.

32

86

Page 8: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

Shout out

Improper fraction or fraction

when you see each number

Ready ?

Page 9: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

Shout out

Improper fraction or fraction

when you see each number

23

Page 10: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

Shout out

Improper fraction or fraction

when you see each number

24

Page 11: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

Shout out

Improper fraction or fraction

when you see each number

82

Page 12: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

Shout out

Improper fraction or fraction

when you see each number

25

Page 13: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

Shout out

Improper fraction or fraction

when you see each number

49

Page 14: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

Shout out

Improper fraction or fraction

when you see each number

11 3

Page 15: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

This is called a

mixed number

112

Page 16: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 1

Here are some

mixed numbers

325

146

8

13

49

1 22 5

Page 17: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

Shout out what the number is

Improper fraction or

mixed number

Page 18: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

improper fraction or mixed number

4

2

Page 19: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

improper fraction or mixed number

4

83

Page 20: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

improper fraction or mixed number

22

5

Page 21: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

improper fraction or mixed number

141

4

Page 22: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

So an improper fraction has a bigger number

at the top.

Page 23: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

Improper fractions can be written as

mixed numbers.

Page 24: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

This number can also be written as

112

32

Page 25: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

can you explain why?

112

32

Page 26: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

112

32

mixed number

Improper fraction

Page 27: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

214

94

mixed number

Improper fraction

Page 28: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

Try these with a

friend…..2 23

?3

Page 29: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

And this one….

1 34

?4

Page 30: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

And this one….

4 12

?2

Page 31: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

And this one….

2 45

?5

Page 32: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

And this one….

1 68

??

Page 33: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

And this one….

5 13

??

Page 34: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

here is the link

5 13

16 3

5 x 3 = 15 then add the 1

and you get 16 thirds

Page 35: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

here is the link

2 25

12 5

2 x 5= 10 then add the 2

and you get 12 fifths

Page 36: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

here is the link

4 56

29 6

4 x 6 = 24 then add the 5

and you get 29 sixths

Page 37: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

now try these in you jotter

WALT: to understand link between mixed numbers and improper fractions

33622

3 21342

4 456 62

4

1 3 2 4 7 2

1 2 5 6 3 5

23

23

29

23

23

25

35

14

23

23

25

23

(a) (b) (c) (d) (e) (f)

(g) (h) (i) (j) (k) (l)

(m)

(n) (o) (q)(p) (r)

Page 38: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

answers

21 6

83

73

18 4

29 6

26 4

53

11 3

20 9

14 3

23 3

12 5

85

94

17 3

20 3

17 5

17 3

(a) (b) (c) (d) (e) (f)

(g) (h) (i) (j) (k) (l)

(m)

(n) (o) (q)(p) (r)

Page 39: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

So an improper fraction can be

written as a mixed number.

Page 40: MALT©2006 Maths/Fractions Slide Show : Lesson 2 Fractions Lesson 2 Understanding mixed numbers and improper fractions

MALT©2006 Maths/Fractions Slide Show : Lesson 2

End of this lesson, any questions or comments?