1. Vectors – Substitution – 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).

2. Printing To print handouts from slides -
Select the slide from the left. Then click:
File > Print > ‘Print Current Slide’
To print multiple slides -
Click on a section title to highlight all those slides,
or press ‘Ctrl’ at the same time as selecting slides to
highlight more than one. Then click:
File > Print > ‘Print Selection’
To print double-sided handouts -
Highlight both slides before using ‘Print Selection’.
Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

3. BINGO! 45 54 23 82 37 12 76 25 91
Substituting Vectors

4. Choose your numbers… 4 9 −9 −4 7 −2 −3 2 5 13 3 3 6 4 −5 6 4 8 −2 3
0 −4
−6 2
2 0
4 −1
1 3
3 −5
Draw a 3x3 grid in your book.

5. Work out a + b as a column vector.=

6. Work out a − b as a column vector.
= 4 −1

7. Work out b − a as a column vector.
= −3 2

8. Work out 2a + b as a column vector.
× 2
2a = 4 8
Work out 2a + b as a column vector.
2a + b = =

9. Work out 2a − b as a column vector.
× 2
2a =
Work out 2a − b as a column vector.
2a − b = 10−3 2−4
= 7 −2

10. Work out a + 2b as a column vector.
× 2
2b = 2 4
Work out a + 2b as a column vector.
a + 2b = =

11. Work out b − 2a as a column vector.
× 2
2a = 10 −4
Work out b − 2a as a column vector.
b − 2a = 4−10 −2−−4
= −6 2

12. Work out a + b as a column vector.=

13. Work out 2a + b as a column vector.
× 2
2a = −2 6
Work out 2a + b as a column vector.
2a + b = −2+5 6+−3 =

14. Work out a − b as a column vector.=

15. Work out 2a + 2b as a column vector.
× 2
× 2
2a = 8 −2
2b = −4 10
Work out 2a + 2b as a column vector.
2a + 2b = 8+−4 −2+10 =

16. Work out 2a − b as a column vector.
× 2
2a = −4 −8
Work out 2a − b as a column vector.
2a − b = −4−5 −8−−4
= −9 −4

17. Work out a + 2b as a column vector.
× 2
2b = −2 6
Work out a + 2b as a column vector.
a + 2b = −3+−2 0+6
= −5 6

18. Work out a − 2b as a column vector.
× 2
2b = 8 0
Work out a − 2b as a column vector.
a − 2b = 6−8 3−0
= −2 3

19. Work out 2b − a as a column vector.
× 2
2b = 8 −6
Work out 2b − a as a column vector.
2b − a = 8−5 −6−−1
= 3 −5

20. Work out a − 2b as a column vector.
× 2
2b = −4 2
Work out a − 2b as a column vector.
a − 2b = −4−−4 −2−2
= 0 −4

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