Darts Project

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.

What is Darts?Talking and Listening

Learning Outcomes for Lesson 1 Mentally add and subtract numbers

Develop own strategies for solving a number problemPresent information and results in a clear and organised wayGive reasons for choice of presentation, explaining selected features and showing insight into the problems structure

Double Ring

Triple Ring

Bull

Bull’s eye

Test your skills!

My maths -> games -> mental games -> 3 dart

finish

What is the score?

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

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

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

Write down how you would make these totals in a 3 dart finish

Use the notation D for double and T for triple

a) 124b) 58c) 105d) 91e) 145

Level 4

2nd level

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

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

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

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

1st level

What are the highest possible scores with•1 dart?•2 darts?•3 darts?

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.

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?

1st level

How many different ways is it possible to score 6 with 3 darts?

2nd level

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

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?

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?

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?

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

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

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

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

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?

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?

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?

1st level

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

2nd level

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

2nd level

Hitting three different green segments of a darts board what is the highest number you can achieve in three darts?

2nd level

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

2nd level

What is the sum or total of all the scoring segments on a dart board?

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)

2nd level

Hitting three different only red segments and not counting the bull what is the lowest number you can hit?

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

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

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

Beginner level

Can you score every number from 1 to 25 with a single dart? Prove that your answer is correct.

Bulls eye = 25

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