Darts based maths project

1. Darts Project

2. Learning Intentions– For the series of
lessons
 To improve mental maths skills
 To be able to use a compass, ruler and protractor in constructions
 To improve problem solving skills
 To develop independence, resilience, collaboration and written presentation
skills
At the end of the project I will assess you, and you will assess yourself against
all the objectives
Across Learning
 To create a new darts game and write clear instructions.
 To improve motor skills and concentration.
 Competing at darts both online and in the classroom.

3. What is Darts?Talking and Listening

4. Learning Outcomes for Lesson 1
 Mentally add and subtract numbers
Develop own strategies for solving a number problem
Present information and results in a clear and organised way
Give reasons for choice of presentation, explaining selected features
and showing insight into the problems structure

6. Double Ring
Triple Ring
Bull
Bull’s eye
Test your skills!
My maths -> games ->
mental games -> 3 dart
finish

7. What is the score?

8. I need you to get 23. Where
should you aim?
I need you to get 52. Where should you aim?

9. The smallest total that can be made with 1 dart is 1.
The largest total that can be made with 1 dart is 60.
Work out which scores between 1 and 60 cannot be scored with 1 dart
Discuss with your partner what strategy you are going to follow to work this out.
What will you need?
Tip – present your work as systematically
as you can.
Think about working it out in a logical
order.
In Pairs

10. Write down how you would make these totals
in a 3 dart finish
Use the notation D for double and T for triple
a) 124
b) 58
c) 105
d) 91
e) 145
Level 4
2nd level

11. A shanghai is when three darts land on the same number but one is a single,
one is a double and one is a treble.
Work out the shanghai for 1,2,3,4 and 5.
What do you notice about all your totals?
Why do you think this happens?
Level 5
For level 5 you must give reasons for your
answer
2nd level

12. A score of 10 can be made with lots of different 3 dart finishes.
Work out all the different 3 dart finishes (ending on a double for 2nd level) that
would make a score of 10.
Tip – present your work as systematically
as you can.
Think about working it out in a logical
order.
Level 6
1st level

13. A score of 15 can be made with lots of different 3 dart finishes.
Work out all the different 3 dart finishes (ending on a double for 2nd) that would
make a score of 15.
Tip – present your work as systematically
as you can.
Think about working it out in a logical
order.
Level 6
1st level

14. Some scores, such as 180 only have 1 three-dart finish.
Other scores, like 105, have lots of three dart finishes.
Which score between 4 and 180 has the greatest number of different three dart
finishes?
This is a long problem. Think about how you would
work out combinations systematically, in a logical
order.
Make sure you present your results clearly.
2nd level
Advanced level

15. 1st level
What are the highest possible
scores with
•1 dart?
•2 darts?
•3 darts?

16. 1st level
 With two darts it is possible to score 5 in six
different ways. These are 1+4, 2+3, 1+ d2, d1
+3 and 2+t1.
 With 2 darts it is possible to score 7 in nine
different ways. List them.

17. 1st level
 With one dart it is possible to score 8 in 2
different ways. Write down the 2 ways.
 What score is it possible to get in 3 different
ways with a dart?

18. 1st level
How many different ways is it
possible to score 6 with 3
darts?

19. 2nd level

20. 2nd level
The rules of darts require that a player must start
and finish with a double. List how a player might
achieve the following totals in the stated (minimum)
number of throws.
(a)301 in 6 throws
(b)501 in 9
(c)1001 in 7

21. 2nd level
With 3 darts all scores up to 160 are
obtainable (except 0,1,2 if all score) and
the maximum possible is 180. However,
there are some scores between 160 and
180 which cannot be made. What are
they?

22. 2nd level
There are 20 sectors on the board, so
any 5 adjacent sectors make up a quarter
of the board. Which quarter of the board
gives the highest total when the numbers
around its outside edge are added up?

23. Beginner Level
Pick up a dart board worksheet.
Colour in all the even numbers red
and the odd numbers blue.
How many even numbers are there
on the dart board?
How many odd numbers are there
on the dart board?

24. Pick up a dart board worksheet.
Imagine you are playing darts. You
score 28. Colour the areas in which
your dart has landed.
1st level

25. Pick up a dart board worksheet.
Imagine you are playing darts. You
score 36. Colour the areas in which
your dart has landed.
1st level

26. Pick up a dart board worksheet.
Imagine you are playing darts. You
score 21. Colour the areas in which
your dart has landed.
1st level

27. Pick up a dart board worksheet.
Colour in
 An odd number
 A multiple of 3
 A prime number
 A multiple of 2
 A multiple of 5
 A multiple of 7.
1st/2nd level

28. 1st level
What is the most direct way of
winning if you start with the score
101.
e.g. With how few shots can you
win?

29. 2nd level
What is the most direct way of
winning if you start with the score
201.
e.g. With how few shots can you
win?

30. 2nd level
What is the most direct way of
winning if you start with the score
301.
e.g. With how few shots can you
win?

31. 1st level
1.How many ways can you score 26
with 3 scoring darts

32. 2nd level
How many ways can you checkout
100 finishing on a double but not
using more than 3 darts.

33. 2nd level
Hitting three different green segments
of a darts board what is the highest
number you can achieve in three
darts?

34. 2nd level
Give two examples of checking out
82 with two darts. You must finish on
a double!

35. 2nd level
What is the sum or total of all the
scoring segments on a dart board?

36. 2nd level
If a player plays a game of 501 and
he averages 60 points per throw with
his 3 darts how many darts will it take
him to finish the game ? (whole
number only)

37. 2nd level
Hitting three different only red
segments and not counting the bull
what is the lowest number you can
hit?

38. What is the highest odd number you
can score with 3 darts?
What is the lowest odd number you
can score with 3 darts?
Bulls eye = 25
Beginner level

39. Beginner level
Start on 55
How many darts does it take to get
to 0? Show me 2 different ways.
You can decide whether you write it
down as a subtraction or an addition
sum.
Bulls eye = 25

40. Beginner level
1.If you added all the single
numbers together what would the
number be?
2. If you added all the double
numbers together, what would the
number be?
Bulls eye = 25

41. Beginner level
Can you score every number from 1
to 25 with a single dart? Prove that
your answer is correct.
Bulls eye = 25

42. Beginner level
How many different numbers can
you reach using 3 darts. Write them
down as addition sums before
stating the full answer.
Bulls eye = 25