The document provides instructions and examples for calculating the midpoint between two points on a coordinate grid using the formula: Midpoint = (x1 + x2)/2, (y1 + y2)/2. It includes 20 examples of calculating the midpoint between two pairs of coordinates. It concludes by inviting feedback on the content via email.

1. Coordinates – Midpoint – Bingo Method
Students should choose nine answers from the grid and place them
randomly into a 3x3 square in their book.
You may want to pause your display and choose questions
according to difficulty during the game.
Depending on time, students could win with
a line, an X, or a ‘full house’ (all).

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Printing

3. 45 54 23
82 37 12
76 25 91

4. (6,5) (-1,-4) (-4.5,-2.5) (4,1)
(3.5,-1) (-4,3) (4,3) (-2.5,-1)
(0.5,-3.5) (1,3.5) (-3,-6) (4.5,6)
(2,-1) (3,4) (2,3.5) (3,-4.5)
Draw a 3x3 grid in your book.

5. What is the coordinate of the midpoint
of the line joining
(2,3) & (6,3)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
3 + 3
2
2 + 6
2
Midpoint = 4 , 3

6. What is the coordinate of the midpoint
of the line joining
(-4,4) & (6,3)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
4 + 3
2
−4 + 6
2
Midpoint = 1 , 3.5

7. What is the coordinate of the midpoint
of the line joining
(5,3) & (4,9)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
3 + 9
2
5 + 4
2
Midpoint = 4.5 , 6

8. What is the coordinate of the midpoint
of the line joining
(0,-3) & (8,5)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
−3 + 5
2
0 + 8
2
Midpoint = 4 , 1

9. What is the coordinate of the midpoint
of the line joining
(2,3) & (4,5)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
3 + 5
2
2 + 4
2
Midpoint = 3 , 4

10. What is the coordinate of the midpoint
of the line joining
(6,-5) & (0,-4)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
−5 + −4
2
6 + 0
2
Midpoint = 3 , −4.5

11. What is the coordinate of the midpoint
of the line joining
(9,1) & (3,9)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
1 + 9
2
9 + 3
2
Midpoint = 6 , 5

12. What is the coordinate of the midpoint
of the line joining
(7,5) & (-3,2)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
5 + 2
2
7 + −3
2
Midpoint = 2 , 3.5

13. What is the coordinate of the midpoint
of the line joining
(-4,-6) & (-2,-6)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
−6 + −6
2
−4 + −2
2
Midpoint = −3 , −6

14. What is the coordinate of the midpoint
of the line joining
(7,5) & (0,-7)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
5 + −7
2
7 + 0
2
Midpoint = 3.5 , −1

15. What is the coordinate of the midpoint
of the line joining
(-2,5) & (-6,1)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
5 + 1
2
−2 + −6
2
Midpoint = −4 , 3

16. What is the coordinate of the midpoint
of the line joining
(-3,-5) & (4,-2)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
−5 + −2
2
−3 + 4
2
Midpoint = 0.5 , −3.5

17. What is the coordinate of the midpoint
of the line joining
(4,-6) & (-9,4)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
−6 + 4
2
4 + −9
2
Midpoint = −2.5 , −1

18. What is the coordinate of the midpoint
of the line joining
(7,4) & (-3,-6)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
4 + −6
2
7 + −3
2
Midpoint = 2 , −1

19. What is the coordinate of the midpoint
of the line joining
(2,-2) & (-4,-6)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
−2 + −6
2
2 + −4
2
Midpoint = −1 , −4

20. What is the coordinate of the midpoint
of the line joining
(-3,-4) & (-6,-1)?
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
𝑦1 + 𝑦2
2
𝑥1 + 𝑥2
2
Midpoint =
𝑥1
+ 𝑥2
2
,
𝑦1
+ 𝑦2
2
−4 + −1
2
−3 + −6
2
Midpoint = −4.5 , −2.5

22. Questions?
Comments?
Suggestions?
…or have you found a mistake!?
Any feedback would be appreciated .
Please feel free to email:
tom@goteachmaths.co.uk