1. Get your calculator out!
Quadrilaterals
10/09/2019
Grade F/D
L.O.: To identify quadrilateral properties and find the sum of the angles.
Get your calculator out!

2. Activity 1 – Show me A question will appear on the board.
The answers are multiple choice. Write the answer on your whiteboard.
When I tell you to, show me the answer you have got.
If you don’t know show me a blank board.

3. How many lines of reflective symmetry does this shape have?Q1
How many lines of reflective symmetry does this shape have?
square 6 2 4

4. Q2
Name this shape
parallelogram
kite
rhombus

5. How many angles are equal?
trapezium
Trapezium 4 2

6. How many pairs of parallel sides does this shape have?Q4
How many pairs of parallel sides does this shape have?
parallelogram 2 1

7. How many lines of reflective symmetry does this rectangle have?Q5
How many lines of reflective symmetry does this rectangle have? 4 2

8. Name this shape parallelogram kite rhombus Q6
2 pairs of parallel sides and all sides equal.
parallelogram
kite
rhombus

9. How many lines of rotational symmetry does this shape have?Q7
How many lines of rotational symmetry does this shape have?
Order 2
rectangle 2 8 4

10. Q8
Name this shape
trapezium
parallelogram
kite

11. Q9
Name this shape
kite
quadrilateral
trapezium

12. Which shape is the odd one out?
Q10
Which shape is the odd one out?
A quadrilateral is a shape with four straight lines

13. Activity 2 – Quadrilateral investigation
Draw a quadrilateral (using a ruler) and label the angles A, B, C and D.
Cut out the quadrilateral and tear off each of the corners.
Arrange the torn-off corners so that the angles A, B, C and D meet around a common point.
What does this tell you about the angles in a quadrilateral?

14. Activity 3: THINK – PAIR - SHARE
What is the name of this shape?
How could you work out the missing angle a?
115 ̊
65 ̊ a
parallelogram
65°
360 - ( ) = 65° for the missing interior angle.
Not drawn to scale
Remember: The interior angles in a quadrilateral add up to 360°

15. How could you work out the missing angle e?
Activity 4: THINK – PAIR - SHARE
How could you work out the missing angle e?
120 ̊
80 ̊ e
65 ̊
Not drawn to scale
95°
360 - ( ) = 95° for the missing interior angle.
Remember: The interior angles in a quadrilateral add up to 360°

16. Activity 5 – Find the missing angles. Show your workings.
4 minutes
x = 104⁰
x = 77⁰
x = 99⁰
x = 64⁰

17. How can you prove to me that you have the correct answer?
ACTIVITY
Activity 6 – Card match
10 minutes
Work in pairs to match the quadrilateral to the correct angle measurements.
Have a go
I am confident
I want a challenge
Theta book one page 207
How can you prove to me that you have the correct answer?
Extension: Ask me for the BLUE sheet

18. x = 90° x = 135° x = 75° x = 110° x = 105° x = 60° x = 70° x x x x x x
85°
85°
55° x
105°
105° x
75°
75°
105° x
70°
70°
110° x
75°
GREEN PAPER
100° x
120°
95°
95° x
120°

19. x = 76° x = 68° x = 71° x = 94° x = 85° x = 78° x = 61° x = 80°
YELLOW PAPER

20. x = 86° y = 94° z = 94° x = 57° y = 122° x = 115° y = 65° z = 65°
80° y z
105° x
80°
RED PAPER z x
88° y
82°
108°

21. Extension 63° a = 159° b = 109° c = 100° d = 21° a 80° c e = 76° d
Not drawn to scale
63°
a = 159°
b = 109°
c = 100°
d = 21°
e = 76°
f = 110°
g = 70°
h = 204°
i = 64° a
80° c d
58° g
80° h i e
EXTENSION - BLUE PAPER f
70°
71° b
105°

22. Extension 105° 110° 𝟐𝒙 𝟐𝒙 𝟐𝒙 45° 𝒙 360° = 𝟐𝒙 + 𝒙 + 105 + 45
Not drawn to scale a)
105° b)
110° 𝟐𝒙
2 x 70° = 140° 𝟐𝒙 𝟐𝒙
2 x 50° = 100°
For each angle
45°
70° 𝒙
360° = 𝟐𝒙 + 𝒙
360° = 𝟑𝒙 + 210
360° = 210 ÷ 3
𝒙 = 70° c) 𝒙
50°
100° 𝒙
EXTENSION - BLUE PAPER 𝟐𝒙
30°
30°
2 x 100° = 200°

23. Activity 7
Do any of these sets of angles form the four interior angles of a quadrilateral?
135°, 75°, 60°, 80°
150°, 60°, 80°, 70°
85°, 85°, 120°, 60°
d) 80°, 90°, 90°, 110°
e) 95°, 95°, 60°, 110°
f) 102°, 138°, 90°, 30°
No = 350°
Yes = 360°
No = 370°
Yes = 360°

24. Work out the size of angle x
Plenary
Name this shape
Multiple choice
A: 75°
B: 85°
C: 95°
D: 105°
E: 285°
Work out the size of angle x

25. Plenary ANSWER So … 𝑥 = 360° - 285° 𝑥 = 75°
We have learnt that all the interior angles in a quadrilateral add up to 360°
360 - ( ) = 285° for the missing interior angle.
We also know that angles around a point add up to 360°
So …
𝑥 = 360° - 285°
𝑥 = 75°
Quadrilateral

26. Complete your Exit Ticket and hand it into me.

27. Self Assessment (SA) I am really pleased with...
Today I have tried to...
To progress I need to...
Today I have learnt that...
In these questions I have learnt that…
I have been able to…
But I got stuck on...
Self Assessment
(SA)
Before this lesson I could already...
Now I can also...
I was successful when I…
One thing I need to remember from today’s lesson is...
I did not know how to…
But now I can…
The most important thing I learned today is...
I can see the link between...

28. x x x x x x x x 85° 85° 55° 105° 105° 75° 75° 105° 70° 70° 110° 75°
GREEN PAPER
100° x
120°
95°
95° x
120°

29. x x x x x x x x 85° 85° 55° 105° 105° 75° 75° 105° 70° 70° 110° 75°
GREEN PAPER
100° x
120°
95°
95° x
120°

30. x = 76° x = 68° x = 71° x = 94° x = 85° x = 78° x = 61° x = 80°
YELLOW PAPER

31. x = 86° y = 94° z = 94° x = 57° y = 122° x = 115° y = 65° z = 65°
80° y z
105° x
80°
RED PAPER z x
88° y
82°
108°

32. z = y y z
80° y z
105° x
80°
RED PAPER z x
88° y
82°
108°

33. z = y y z
80° y z
105° x
80°
RED PAPER z x
88° y
82°
108°

34. Extension 63° a = b = c = d = a 80° c e = d f = g = h = 58° i = 80° g
Not drawn to scale
63°
a =
b =
c =
d =
e =
f =
g =
h =
i = a
80° c d
58° g
80° h i e
EXTENSION - BLUE PAPER f
70°
71° b
105°

35. Extension 105° 110° 𝟐𝒙 𝟐𝒙 𝟐𝒙 45° 𝒙 𝒙 𝒙 𝟐𝒙 30° 30° Not drawn to scaleb)
110° 𝟐𝒙 𝟐𝒙 𝟐𝒙
45° 𝒙 c) 𝒙 𝒙
EXTENSION - BLUE PAPER 𝟐𝒙
30°
30°