iMath Algebra: Sequences and functions

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The activities can be used either by individual pupils, small groups or with the whole class using a projector or an interactive whiteboard. Select the pattern then use the slider to change the variables and record your results in a table.

Linear functions
	Four repeating shape patterns made from tables and chairs. Work out the rule that connects the number of chairs with the number of tables. Follow the number patterns and predict the next number. Work out a rules and explain why they work. Write the rules as a formulas.
Matchstick Polygons Matchstick Squares	Repeating shape patterns made from matchsticks. Follow the number patterns and predict the next number in the sequence. Matchstick Polygons How many matchsticks are needed to make 100 polygons? Work out a rule. Explain why your rule works and write it as a formula. Can you work out an overall rule that works for any repeating matchstick polygon pattern? Matchstick Squares Three different square matchstick patterns.
	Repeating shape patterns made from girders and bolts. How many girders and bolts are needed to make 100 sections? Work out a rule. Explain why your rule works and write it as a formula.
First-time gardeners Regular gardeners Expert gardeners	Repeating shape patterns made from pink and yellow flowers. Work out the rule that connects the number of pink flowers with the number of yellow flowers. Follow the number patterns and predict the next number. Work out a rule and explain why it works. Write the rule as a formula. The flower patterns come in three levels of difficulty: First-time gardeners Regular gardeners Expert gardeners
	Use Elephant Wallpaper to investigate number sequences and nth terms. A small piece of 'wallpaper' is shown, the aim is to decide what colour the elephant is at selected coordinates. Use the sliders to determine the coordinates. Click on the elephant of your choice then the 'final answer' button. A much larger piece of wallpaper is revealed showing the elephant in question. The levels become progressively more difficult. Experts can start at a higher level. The levels relate to those on the Elephant Wallpaper game and so can be used to practise for the game.

Quadratic functions
	Repeating shape patterns made from floor tiles. Work out the rule that connects the number of red, blue and yellow tiles with the width of the pattern. Follow the number patterns and predict the next number. Work out a rule and explain why it works. Write the rule as a formula.