There are 366 different Starters of The Day, many to choose from. You will find below some starters on the topic of Combinations. 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:

How many different ways can four people stand in line?

How many squares can be found by joining four dots on the grid?

How many Triangles can you find in the diagram?

How many triangles are hidden in the pattern? What strategy might you use to count them all to ensure you don't miss any out?

Find a systematic way of counting the number of triangles in the given diagram.

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

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

How many different ways can you spell out the word snowman by moving from snowflake to snowflake.

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

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

## Exercises

#### 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?

#### Scouts in Boats

Arrange a rota for the Scouts to travel in boats so that they are with different people each day.

#### 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

Learn how to be systematic by colouring 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.

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