MEP: Primary Project: Year 5 a P angle 2 angle 1 · 2016. 6. 8. · MEP: Primary Project: Year 5...

© CIMT, University of Exeter

MEP: Primary Project: Year 5m e p

LP 81/2

P

a

b

angle 2angle 1



✂ LP 81/3



LP 81/4

β α = 2 r. a. = r. a. = 1.5 r. a.12

γ

ε δ = 3 r. a. = 3.5 r. a.



LP 81/5



LP 81/6

a)

3 rig

ht a

ngle

scl

ockw

ise

WE

N S

b)

2 rig

ht a

ngle

san

ti-cl

ockw

ise

WE

N S

c)

half

a rig

ht a

ngle

cloc

kwis

e

WE

N S

d)

3 an

d a

half

right

ang

les

WE

N S

anti-

cloc

kwis

e



LP 81/8

c)d)

12

3

6

9

12

3

6

9

a)

b)

12

3

6

9

12

3

6

9



LP 82/2

D C

A B

α β

δ γ

a)

b)

c)

α

β γ

δ ε

φ



180

908070

60

50

40

3020

10

100 110120

130

140150

160170

90

0 180

170

160

150

140

130

120110

100 80 7060

50

4030

2010

0

Copy onto OHT and cut out for demonstration model ✂ LP 82/3i



✂ LP 82/3iiCopy onto OHT and cut out for pupil models.

180

908070

60

50

40

3020

10

100 110120

130

140150

160170

90

0 180

170

160

150

140

130

120110

100 80 7060

50

4030

2010

0 180

908070

60

50

40

3020

10

100 110120

130140

150160

170

90

0 180

170

160

150

140

130

120110

100 80 7060

5040

3020

100

180

908070

60

50

40

3020

10

100 110120

130

140150

160170

90

0 180

170

160

150

140

130

120110

100 80 7060

50

4030

2010

0 180

908070

60

50

40

3020

10

100 110120

130

140150

160170

90

0 180

170

160

150

140

130

120110

100 80 7060

50

4030

2010

0



LP 82/5

δ

C

D

c d

g

h

γA

a

b α

B β f

e

α ≈ β ≈ γ = δ = LP 82/4

BA a

b

αc

d

β

α ≈ β ≈



LP 82/7

a) 60°

A CBa e g

55°c) 20°b)

340° 240° 110°

g

d)

D

FE

r

s t

e) f)



LP 82/8

α ≈ β ≈

γ ≈

α + β + γ ≈

A

C

Bc

b a

α β

γ



LP 83/4

a) ab

O

β

=angle

=angleO

a

b

β

=angle

O

b

a

=angle

=angleOa

b

O a

b=angle

b)

c)

d)

e)

O

a b

O ab =angle

χχ

α

δδ

εε

f)

φφ

g) γγ



LP 83/6

acute angle

right angle

obtuse angle

whole angle

zero anglestraight angle

172 40'

89 2'

90 00' 01''

33 33' 33''

181 40'

2 11' 3''

reflex angle

72

110

180

90

300

0



LP 83/8

a

b

cd

e

12

9

8

76 5

4

3

2

1

10

11∠ a =

∠ b =

∠ c =

∠ d =

∠ e =



LP 83/9

W E

N

S

NE

SESW

NW

a) N and NE b) N and E

c) N and SE d) N and SW

e) NE and SE f) E and NW

g) W and SSW h) E and NNE



LP 84/2

O



LP 84/4a

0510

5 012346 0

N20

40

6080100

120

140

160

200

240280260

220

300

320340

S

EW



LP 84/4b

N

B



W E

N

S

a) b)

W E

N

S

Sketch Map

White Peak

Black Hill

N

North Ridge

A

LP 84/5



LP 84/6

a)

W E

N

S

b)

W E

N

S

c)

W E

N

S

– 135° – 45° + 90°

d)

W E

N

S

e)

W E

N

S

+ 225° – 270°



LP 84/8

12

6

39

1

2

4

57

8

10

11



LP 85/1

A

C

B

c

b

D

d

a

δ γ

β

α

α ≈

≈β

≈γ

≈δ

α + β + γ + δ ≈



LP 85/2

a)

WE

N S

b)

half

a rig

ht a

ngle

anti-

cloc

kwis

e

WE

N S

1 an

d a

half

right

ang

les

cloc

kwis

e

c)

WE

N S

d)

1 an

d a

quar

ter

right

ang

les

WE

N S

cloc

kwis

e

2 an

d a

half

right

ang

les

cloc

kwis

e



δ γ

βα

c)γ

α β

b)a)

α β

γδ

δ γ

βα

c)γ

α β

b)a)

α β

γδ

✂

1 sheet every 2 PsLP 86/1a



δ γ

βα

c)

c)γ

α β

b)a)

α β

γδ

LP 86/1b✂



LP 86/5

a) b) c) d) e)

f) g) h)



LP 86/7

a) mirror line

A

B

b) mirror line

A

B

C

c) mirror line

B

A



LP 86/8

a) b) c) d)

e) f) g) h)



LP 86/9

a)

A

b)

A

B

CD

c)

A

Bd)

D

CA

C

B

e)



LP 87/3

In

Out

LP 87/1

a) t

A B

CD

B' A'

D'C'b) t

A

B

CA'

B'

C'



LP 87/2a1 sheet per P, cut into 4: a), b), d), e)

✂

✂

✂✂✂✂



1 sheet per 5 Ps, cut into 4: c) LP 87/2b

✂

✂

✂

✂ ✂ ✂



LP 87/4



LP 87/5

y

xA B

CD



LP 87/6

y

xA B

CD

0 2 4 6 8–2–4–6–8

2

4

–2

–4

E A ( , ) B ( , ) C ( , )2 1D ( , ) E ( , )

A' ( , ) B' ( , ) C' ( , )D' ( , ) E' ( , )

A* ( , ) B* ( , ) C* ( , )D* ( , ) E* ( , )

A'' ( , ) B'' ( , ) C'' ( , )D'' ( , ) E'' ( , )



LP 87/7

a) b) c)

d) e) f)

g) h) i)



tA

B

C C'

B'

A'

LP 87/8



LP 88/1

Isosceles

Equilateral

RightAcute Obtuse

Triangles



Quadrilaterals

At least 1 line of symmetry

At least 2 lines of symmetry

4 lines of symmetry

LP 88/2



LP 88/4

y

x

LP 88/3

1 2 3 4 5 6 7

8 9 10 11 12 13 14



LP 88/5

F

A B

CD

E F'

A' B'

C'D'

E'



LP 88/6

A B

C

DE

A' B'

C'

D'E'

A'' B''

C''

D''E''



LP 88/7

y

x0 864– 8 –6 –4 –2

–2

2

4

2

10 12 14

6

8

10



LP 88/8

A

B

C

t1 t2

C' C''



LP 89/1

a) b) c)

d) e) f)



LP 89/2

t

A

t

e

t

A

B

t

A

B

C

D



Q

P e

R

LP 89/3



LP 89/5

Aa) b)

AB

c)

A B

C

1

11

3

1

31

2

2

2

2

11

6

2

22

13

3

21

2

LP 89/4



LP 89/6

DE

F

A

BC



LP 89/7

4 5

12

3

6



1 2 3 4

5

Shorter side 1 2 3 4 5 6 7 8 9 10

Longer side 2 4 6 8 10

Perimeter (units)

Area (unit squares)LP 89/8a



Shorter side 1 2 3 4 5 6 7 8 9 10


Perimeter (units)

Area (unit squares)

Shorter side 1 2 3 4 5 6 7 8 9 10


Perimeter (units)

Area (unit squares)

✂

1 sheet per 2 pupils. LP 89/8b



LP 89/9

A B

CD

E

F

G



LP 90/2

a) c)b)

LP 90/1



LP 90/3

a) mirror line

C

BA

DEF

b) mirror line

AB

C

c) mirror line

B

A

C

DE

F G



y

x

A B

CD

LP 90/4



LP 91/4



C

C

1

1

C

LP 91/5



LP 91/6a



LP 91/6b



A BC

D

EF

G

LP 91/7



LP 92/2

a)



LP 92/5

1 :

1000

Sca

le

b)a)

1 :

2000

Sca

le



LP 92/6

y

x

A B

CD

0 4 6 8

E

10– 8 – 6 – 4

2

–2

–2

–4

2

4

6

8

–6

–8



LP 92/7

a a a

aaa bb

cc b

c

a)

b)



y

x0 4 6 8 10– 8 – 6 – 4

2

–2

–2

–4

2

4

6

8

–6

–8

10

–10

–10LP 93/1i



LP 93/1ii

y

x0 4 6 8 10– 8 – 6 – 4

2

–2

–2

–4

2

4

6

8

–6

–8

10

–10

–10

y

x0 4 6 8 10– 8 – 6 – 4

2

–2

–2

–4

2

4

6

8

–6

–8

10

–10

–10

✂

1 sheet per 2 pupils



LP 93/2a

a)t



LP 93/2b

b) t



LP 93/3✂



LP 93/5

y

x

B

O 2 4–2– 4

–2

2D C

A

E



a)

y 01

1

x

b

A

B

C

D

E

A''

B''

C''

D''

E''

A'

D'

C'

B'

E'

LP 93/6a



LP 93/6b

b)

y 01

x

A

B

C

D

E

A'

D'

B'

–1–1

1

E'

C'

D''

C''

E''

B''

A''

A*

B*

E*

D*

C*



LP 94/1

R

EDCBA

F G H I

J K L M N

O P Q



LP 94/2

A B

CDA' B'

C'D'

D'' C''

B''A''≡



LP 94/2b



LP 94/4

y

x

A

DB

O 4 6 8– 8 – 6 – 4

2

–2

–2

–4

2

4

6

8

–6

C

E



LP 94/5

C

e f

O

D

E

A B

M



LP 94/6

i) ii)

22

3

iii) iv)

22

4

42

3

a)

ii) iii) iv)

e f g h

ii)i)b)



LP 95/1



LP 95/2

AB

C

DEF

G

H

I J



LP 95/3

y

0 2 x

A

BC

KI

–2

–2

2

4

6

–4–6

– 4

–6

4 6

J

L M

FGH

D

E



LP 96/4

LP 96/2

1 2 4 4 4 4 4 3 4 4 4 4 4



LP 96/5

LP 96/8

0

34

, ,– 12

44

, – 54

; ; ;



1 1 1 1

LP 96/6



LP 97/3

a)

b)

0 1 2

0 1 2



LP 97/6

75

55

45

35

25

15

LP 97/5



LP 97/8

LP 97/7

a)1

2+ = 1 + = 1 + = 1

1

3

2

3+ = 1

3

3

3

7+ = 1 + = 1 + = 1

2

9

4

5+ = 2

4

5

b) –1 =2

2–1 =

1

2–1 =

0

2–1 =

3

4

–2 =4

5–1 =

3

7–2 =

6

6–3 =

2

5

,– 66

32

, 43

, ,– 56

12

, – 23

0– 1 1 2



LP 98/1

1



LP 98/6

LP 98/2



0 1

0 1

0 1

24

14

34

28

18

38

48

58

68

78

116

216

316

416

516

616

716

816

916

1016

1116

1216

1316

1416

1516

LP 98/3



LP 98/4

0 1

0

0 1

1

512

13

16



LP 98/5

112

14

15

110

120

1 =2

2=

4=

5=

10=

20

1

4=

3

4=

1

5=

3

5=

4

5=

1

10=

3

10=

2

5=

7

10=

1

2=

9

10=



10 2 3 4 5

LP 99/2

LP 99/3

a) 23

56

b) 35

1120

e) 58

56

f) 710

310

g)– 710

310

– –

c) 610

25

d) 38

13

h) 34

12

– –



LP 99/4

a)3

4=

8=

12

6=

16=

15= =

b)6

5= =

20=

18= 1 +

12

5= 1

5

c)12

3= =

9= =

24 4

1=

12=



LP 100/3

a) 34

58

b) 45

810

e) 23

58

f) 14

15

g) 56

c) 79

23

d) 2350

410

h)79

4030

2520

LP 99/5

0– 1 1

1065

, ,4 45

,– 610

35

, ,– 15



LP 101/7

b) 1

c) d) 1

6 7 4 4 4 8 4 4 4 1

a) 1



0– 1 1 2 3

0 1

LP 102/6

LP 102/1

0– 1 1 2

A B C D



a)

b)

c)

1

1

1

35

i) + 210

= 35

ii) – 210

=

38

i) + = 58

ii) – =14

12

29

i) + = 89

ii) – =23

23

12

iii) + 410

=

38

iii) + 12

=

– 35

– 14

19

iii) + 23

=– 49

LP 103/6



LP 103/7

0– 1 1 2

, , , , , ,34

– 12

– 14

38

24

– 58

12



23

+ =57

a) 1 1

b)

0 1727

37

47

57

67 1

171

271

371

0 1323 1

131

0 1121

321

521

721

921

1121

1321

1521

1721

1921

23

+ =57

c) 23

= 46

= 69

=

57

= 1014

=

LP 104/9



LP 106/3

y

x0 1–1

1

–1



LP 106/7



LP 108/2

ii)i) iii)

a) b) c) e)d)

LP 106/8



a)13 + a = 1 b) 1 –b =

59

c)43 + c = 2

a = b = c =

d)25 + d = 1 e) 2 –e =

75

f)16 + f =

56

d = e = f =

g)34 – g =

12

h) h –3

10 =

25

i) i + 47 =

37

g = h = i =LP 107/2



a)12

+ a = 32

b)34 – b =

14

c)78 + c =

118

a = b = c =

d) d – 37 =

27

e) e + 79 = 1 f) 1 + f =

65

d = e = f =

g) 2 – g = 75

h) h – 56 = 1

g = h =

LP 107/4



1

1 LP 107/5



LP 109/5

a) 1 week = days, 1 day = week, 4 days = week

b) 4 m = cm, 1 cm = m, 27 cm = m

c) 2 h = min, 1 min = hour, 40 min = hour

d) 17 litres = cl, 17 cl = litre, 320 ml = litre



LP 109/6

a) 20 min = hour, 45 min = hour, 90 min = hours

b) hour = min,

c) 70 cm = m, 110 cm = m, 3 cm = m

d) m = cm

1

2hour = min,

2

5hour = min

61

60

m = cm,1

5m = cm,

9

4

3

50

e) 43 cl = litre, 350 g = kg, 11 m = km

f) km = mlitres = cl,5

4kg = g,

32

1000

42

1000

MEP: Primary Project: Year 5 a P angle 2 angle 1 · 2016. 6. 8. · MEP: Primary Project: Year 5...

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Transcript of MEP: Primary Project: Year 5 a P angle 2 angle 1 · 2016. 6. 8. · MEP: Primary Project: Year 5...