1. 26/12/2018

2. 26/12/2018
5 m
78 mm
49 mm
7.8 cm
52.6 cm
0.49 m
500 cm
780 cm
5 cm
49 cm
5.26 m
526 cm
4.9 cm
7.8 m
50 mm
526 mm
Write down the date and title.
STARTER:
Match up pairs of lengths
that are the same

3. 26/12/2018
5 m
78 mm
49 mm
7.8 cm
52.6 cm
0.49 m
500 cm
780 cm
5 cm
49 cm
5.26 m
526 cm
4.9 cm
7.8 m
50 mm
526 mm
Write down the date and title.
STARTER ANSWERS:
Mark them in green pen 

4. Write down the date and title.
26/12/2018
Write down the date and title.
STARTER:
Use your protractor to measure each of the angles. Glue in once finished.

5. Write down the date and title.
26/12/2018
Write down the date and title.
STARTER:
Mark your angles in green pen. Your allowed a tolerance of 3 degrees either side of your answer. 

6. Write down the Date and Title.
26/12/2018
Write down the Date and Title.
STARTER:
Write down the calculations and find the ink blot answers. +

7. 44 9.68 Write down the date and title. STARTER:
26/12/2018
Write down the date and title.
STARTER:
Mark your work in green pen.put a score out of 4 in your books.  44
9.68
36.4
23.08

8. What type of angles are these?
26/12/2018
What type of angles are these?

9. Write in your books 26/12/2018 A right angle, is exactly 90°.
An acute angle, is less than 90°.
Write in your books
An obtuse angle, is more than 90° but less than 180°.
A reflex angle, is more than 180° and less than 360°.
A right angle, is exactly 90°.

10. 26/12/2018
What type of angle are they? b) a) e)
Learning Check c) d)

11. Answers What type of angle are they? b) a) acute obtuse e) acute c) d)
26/12/2018
What type of angle are they? b) a)
acute
obtuse
Answers e)
acute c) d)
reflex
Right angle

12. Keywords – into the glossary at the back of your book.
26/12/2018
Keywords – into the glossary at the back of your book.
Angle: An angle is a measure of turn.
Degrees: A unit used to measure angles. Theres 360 in a full circle.
Protractor: A piece of equipment which measures angles.
Acute: A type of angle less than 90 degrees.
Obtuse: A type of angle between 90 degrees and 180 degrees.
Reflex: A type of angle above 180 degrees.
Right angle: A type of angle which is 90 degrees.

13. Estimating Angles Game
26/12/2018
Estimating Angles Game
On your boards write… 1) 2) 3) 4) 5) Down the left hand side.

14. 26/12/2018
Estimate the Angle 1

15. 26/12/2018
Estimate the Angle 2

16. 26/12/2018
Estimate the Angle 3

17. 26/12/2018
Estimate the Angle 4

18. 26/12/2018
Estimate the Angle 5

19. Estimate the Angle Swap your work with your partner.
26/12/2018
Swap your work with your partner.
They get the mark if they are within 10°
Estimate the Angle
1) 45° 2) 85° 3) 60° 4) 110° 5) 175°

20. Angle Properties 360° 180° 90° 26/12/2018
Match the angle to the diagram
360° 180° 90°
Quick sketch in books

21. Discuss with your partner how to calculate x
26/12/2018
Example
Discuss with your partner how to calculate x x°
75°

22. 26/12/2018
Example x°
75°
90° - 75° = 15°

23. Discuss with your partner how to calculate x
26/12/2018
Example
Discuss with your partner how to calculate x x°
13°
41°

24. 26/12/2018
Example x°
13°
41°
13° + 41° = 54° 90° - 54° = 36°

25. Questions 26/12/2018 1) 2) 3) 4) d c 21° 23° 52° b 23° a 11° 38° 34°
39°
18°
41° 6°
26°
21°
11° 9°

26. Answers 26/12/2018 1) 2) 3) 4) c = 31° d = 33° b = 56° a = 38° d c 21°
23°
52° b
23° a
11°
38°
34°
11°
b = 22°
e = 54°
a = 78°
c = 109°
d = 11°
52°
18°
41°
39° 6°
f = 119°
g = 64°
h = 94°
i = 146°
j = 124°
26°
21°
11° 9°

27. Example Think about what angle property we can use?
26/12/2018
Example
Discuss with your partner how to calculate x
24°
75°
Think about what angle property we can use? x°
111°
What would we need to do if it was 4x instead of x?

28. Example 111° + 75° + 24° = 210° 360° – 210° = 150° 26/12/2018 24° 75°

29. Angles around a point add up to 360°
26/12/2018
Example
Angle property!!
Angles around a point add up to 360°
24°
75°
150°
111°

30. What’s the same? What’s different?
26/12/2018
Discuss
What’s the same? What’s different?
All add up to 360? Does that make sense with our last angle property? Hopefylly say that vertically opposite angles are the same.

31. Vertically opposite angles are equal
26/12/2018
Example
Angle property!!
Vertically opposite angles are equal
What do you notice?

32. Example Discuss with your partner how to find angles x and y?
26/12/2018
Example
Discuss with your partner how to find angles x and y?
Which angle properties are we using?

33. Example Angle y =35° because angles on a straight line add up to 180°
26/12/2018
Example
Angle x = 145° because vertically opposite angles are equal.
Angle y =35° because angles on a straight line add up to 180°

34. Angles on a straight line add up to 180°
26/12/2018
Example
Angle property!!
Angles on a straight line add up to 180°
60°
120°
= 180
Angles on a straight line add to 180°

35. 26/12/2018
Questions
For these questions, we are using the vertically opposite angles property.

37. Answers 26/12/2018 c = 135° a = 45° b = 120° h = 40° i = 140° f = 130°
g = 50°
j = 60°
k = 120°
r = 46°
s = 134°
t = 134°
u = 123°
v = 57°
w = 57°
z = 156°
x = 24°
y = 24°

38. Start with Red or Amber, move up towards Green!! 10 minutes
26/12/2018
Questions
Start with Red or Amber, move up towards Green!! 10 minutes
Don’t forget to ask for the challenge!

39. Answers 26/12/2018 r = 12° s = 73° t = 95 ° u = 95° p =38 ° q = 52°
j = 32°
k = 66°
m = 37°
h = 44°
i = 75°
f = 35°
g = 81°
c = 62°
b = 153°
a = 134°

40. 26/12/2018
Extension

41. Answers 26/12/2018 e = 53° c = 62° a = 134° b = 153° d = 133° r = 12°
t = 95 °
u = 95°
j = 32°
k = 66°
m = 37°
p =38 °
q = 52°
r = 99°
f = 35°
g = 81°
h = 44°
i = 75°

42. Algebra! Work with your partner to find x
26/12/2018
Algebra!
What angle property are we looking at?
Work with your partner to find x
What do both of those expressions add together to make?
What can we form to find out what x is?

43. Worked example 26/12/2018 1)Angles on a straight line equal 180°
2) Form an equation first!
4x + x + 30 = 180
5x + 30 = 180
3) Solve the equation to find 𝑥
5x = 180
(-30) (-30)
5x = 150
(÷5) (÷5)
x = 30

44. 26/12/2018
Algebra
Work together to find 𝑥

45. Algebra Worked example 26/12/2018 Form the equation first!
4x + 3x + 5x
12x
Put what it is equal to!
12x = 360
(÷12) (÷12)
x = 30
Worked example

46. Questions Start on Red or Amber and work your way up!
3x + 40 3x 2x
Questions
Q10)
Q1)
Q2)
x + 60 3x 3x 4x 6x
Start on Red or Amber and work your way up!
Use a calculator to help you. 3x 2x
Q11)
Q3)
Q4) 4x 5x 5x 3x x
4x + 10
4x + 20
Q5)
Q6)
3x + 20 2x 3x
x + 20 4x
Q12) 2x
Q7)
Q8)
4x - 100
2x + 10 9x
4x - 20 5x
x + 30
10x + 60 2x
3x + 20

47. Answers Mark your work in Green pen!
Q9)
3x + 40
x = 40 3x 2x
Answers
Q10)
Q2)
Q1)
x = 18
x + 60 3x
x = 50 3x
x = 30 3x 4x 6x
Mark your work in Green pen!
Correct your work if you got any answers wrong. 2x
Q11)
Q3)
Q4)
x = 20
x = 30 4x 5x 5x 3x x
x = 30
4x + 10
4x + 20
Q5)
Q6)
x = 32
3x + 20 2x
x = 20 3x
x + 20 4x
Q12) 2x
Q7)
Q8)
4x - 100
x = 30
2x + 10
4x - 20
x = 10 9x
x = 10 5x
x + 30
10x + 60 2x
3x + 20

48. Extensions Extra challenge 1 Extra challenge 2 Calculate x Calculate x
26/12/2018
Extensions
Extra challenge 1
Calculate x
Extra challenge 2 Calculate x
100° x°
125° 5x 6x
5x + 20

49. Extensions Extra challenge 1 Extra challenge 2 Calculate x Calculate x
26/12/2018
Extensions
Extra challenge 1
Calculate x
100° + 125° = 225°
360° - 225° = 135°
Extra challenge 2
Calculate x
5x + 6x + 5x + 20 = 16x + 20
16x + 20 = 180
x = 10°
100° x°
125° 5x 6x
5x + 20

50. Write down four angle properties from our work on angles
26/12/2018
Answers
Property 2
Property 1
Write down four angle properties from our work on angles
Property 3
Property 4

51. Plenary 26/12/2018 Property 2 Property 1 Property 3 Property 4
Angles on a straight line add up to 180°
Angles in a right angle add up to 90°
60°
120°
Write down four angle properties from our work on angles
Property 3
Property 4
Angles around a point add up to 360°
When two straight lines cross, the opposite angles are equal