Describe the sequences of matchstick patterns with a formula. This exercise will help you interpret mathematical relationships both algebraically and geometrically.

For example, given the rule “Add 3” and the starting number 0, and given the rule “Add 6” and the starting number 0, generate terms in the resulting sequences, and observe that the terms in …

The unit investigates patterns made using matches and tiles. The relation between the number of the term of a pattern and the number of matches that that term has, is explored with a view to …

It is how we write down relationships, and gives us the rules so we can transform them and employ them in problem solving. The activity below employs various visual patterns, …

When we find a rule for the n th term of a sequence, it is called a general rule. We can use it to find the value of any term in the sequence, as long as we know its position.

In order to discover a general rule that can be represented in various ways, the relationship between the number of matches for a term and the number of terms in a pattern are investigated.

A matchstick graph is a simple graph which has a graph embedding that is planar, for which all distances between vertices have unit distance, and which is non-degenerate (so no vertices …

Using algebra to describe patterns mathematically. This activity employs various visual patterns, constructed with matchsticks. Drag the matches around to study each pattern and work out its …

Use the function rule to predict geometric paterns with matchsticks. Here is an example. Mia made this sequence of shapes with matchsticks: If Mia followed this sequence, how many …

We can figure it out two ways. Work out a formula for the number of horizontal matches and multiply by 2, since the number of vertical matches is the same and the number of horizontal …