Transum Maths Software

Combinations

There are 366 different Starters of The Day, many to choose from. You will find in the left column below some starters on the topic of Combinations. In the right column below are links to related online activities, videos and teacher resources.

A lesson starter does not have to be on the same topic as the main part of the lesson or the topic of the previous lesson. It is often very useful to revise or explore other concepts by using a starter based on a totally different area of Mathematics.

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Combinations Starters:

Bus Stop: How many different ways can four people stand in line?

How Many Squares? 2: How many squares can be found by joining four dots on the grid?

How Many Triangles? 1: How many Triangles can you find in the diagram?

How Many Triangles? 3: Find a systematic way of counting the number of triangles in the given diagram.

Ice Cream: How many different ice cream cones can be made by choosing two scoops from six flavours?

Noughts and Crosses: In how many different ways can the first X and O by placed on the grid?

Snowman and Woman: How many different ways can you spell out the word "Snowman" by moving from snowflake to snowflake.

Thai Baht: How many different ways can you make a given total with Thai coins?

Tran's Hats: In how many different ways might Tran decide to wear his hats in one week?

 

Small images of these Starters | | |  Complete Index of Starters

Featured Activity

Lemon Law

Lemon Law

A fascinating digit changing challenge. Change the numbers on the apples so that the number on the lemon is the given total. Can you figure out, by understanding place value, how this works?

 

Curriculum for Combinations:

Year 6

Pupils should be taught to enumerate possibilities of combinations of two variables. more...

Years 10 and 11

Pupils should be taught to apply systematic listing strategies, {including use of the product rule for counting} more...

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Notes:

"A combination is a way of selecting several things out of a larger group, where (unlike permutations) order does not matter. In smaller cases it is possible to count the number of combinations. For example given three fruit, say an apple, orange and pear, there are three combinations of two that can be drawn from this set: an apple and a pear; an apple and an orange; or a pear and an orange." - Wikipedia

Combinations Teacher Resources:

Ice-cream Combinations: How many two-scoop ice creams can you make from the given flavours?

Snake Sort: Sort the coloured snakes in a logical order. This activity introduces systematic listing.

Combinations Activities:

How Many Triangles?: A self marking step by step approach to calculating the number of triangles in a design.

Ice-cream Combinations: How many two-scoop ice creams can you make from the given flavours?

Misfits: A Misfit is a character with a head, body and legs. How many different Misfits can you create?

Six Keys: Use just six keys on your calculator to make a given total. How many different ways can it be done?

Snake Sort: Sort the coloured snakes in a logical order. This activity introduces systematic listing.

Striped Sweets: Colour the sweet wrappers so that no two are the same.

Systematic Listing: Apply systematic listing strategies to find the number of combinations and permutations of choices.

Take Baht: How many different ways can you make a given total with Thai coins?

Triplets: Find as many sets of three of the available numbers as possible which add up to the given total.

Xmas Tree Trim: Use the lights provided to decorate each of the Christmas trees so that no two trees are the same.

Combinations Investigations:

Egg boxes: In how many different ways can two eggs be arranged in an egg box?

House Painting: The houses in Mathsland are all three storeys tall. Each storey is painted using one colour. How many ways can the houses be painted.

Odd Dice: Take three dice. How many ways can they be turned so that they show only odd numbers on top?

Traffic Jams: How many ways can three cars be lined up in a traffic jam?

Transum Club: How many different colour schemes can you devise for the Transum Club Badge.

Combinations Videos:

Combinations and Permutations: Learn how to tell the difference between permutations and combinations and use the formulae to answer questions.

Permutations: A video lesson on Permutations, calculating them using the counting principle and the nPr formula.

The Counting Principle: The Counting Principle, Permutations, and Combinations. A fast paced, clearly illustrated video.

Combinations Worksheets/Printables:

Snowman Worksheet: This printable may help pupils work out how many different ways there are to spell snowman on the snow flake grid.

Combinations External Links:

Links to other websites containing resources for Combinations are provided for those logged into 'Transum Mathematics'. Subscribing also opens up the opportunity for you to add your own links to this panel. You can sign up using one of the buttons below:

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Recently Updated

Standard Form

Standard Form

Test your understanding of standard form (scientific notation) with this self-marking quiz. So far this activity has been accessed 12712 times and 5829 people have earned a Transum Trophy for completing it.

 

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