Investigations 8 Easy Steps

1. Situation
You will normally be given a description of what’s going on, for example, a pattern that you can continue.

2. Generate data
You have to continue the pattern.

3. Organise the data
You usually put your data into a table.

4. Analyse the data
Determine how the pattern is growing. If it's a sequence, you should begin by looking at first differences. If that doesn’t work, compare the numbers to sequences you know. You may have to manipulate the numbers (add 1 or 2 to them, subtract 1 or 2, double them, etc.)

5. Find a rule / formula / expression for the nth term.
Use your knowledge of sequences to find a formula (a common first difference is the coefficient in a linear sequence, etc.)

6. Test the rule
Use the pattern and the rule to get the same value for the next term.

7. Prove the rule
Use algebra or some other means to show the rule works for all values of n.

8. Extension
Think of ways you can explore further.

G6 Investigations Booklet

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Algebra 2 Test Review

Refer to these solutions only after completing the assignment.

More Practise

Problem 9 does not have the correct solution listed. See Solutions for explanation.


Sample whatever you'd like. Pages 7 and 8 are particularly good.

Give this problem a go if you dare!

Seven Dwarfs


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