9.0.1 What to Expect in this Unit

This unit should take around eight hours to complete. In this unit you will learn about:

  • Recognizing patterns.
  • Word formula.
  • Direct and inverse proportion.
  • Greater than or less than.
  • Unsolved problems in mathematics.

In Section 9.1 you will look at two examples of patterns and think about how you can continue them and describe them. Continuing with patterns in Section 9.2, we will see how when a pattern exists between different quantities we can use this to continue the pattern with word formulas.    

In Section 9.3 you will use formulas to perform calculations and in Section 9.4 apply this to some situations using spreadsheets. 

  • > greater than.
  • ≥ greater than or equal to.
  • < less than.
  • ≤ less than or equal to.

Once you have started to feel more comfortable with using formulas, in Section 9.5 we turn back to writing your own and techniques to rearrange formula. Section 9.6 looks at two important relationships between numbers that occur in everyday life (direct and inverse proportions), and in Section 9.7 we turn to inequalities (greater than or less than, for example).

Finally, in Sections 9.8 and 9.9 we will explore an unsolved math problem—between 2000 and 2002, a $1 million prize was offered for its solution!—and patterns seen in nature.

This unit will also help you to consolidate some of the problem solving strategies you learned in Units 6 and 7, and it introduces more notation to help you express ideas clearly and concisely.

Practice Quiz

If you would like to check your understanding of patterns and formulas before you start, give the Unit 9 pre quiz a try, then use the feedback to help you plan your study.

The quiz does not check all the topics in the unit, but it should give you some idea of the areas you may need to spend most time on. Remember, it doesn’t matter if you get some or even all of the questions wrong – it just indicates how much time you may need for this unit!

Click here for the pre quiz. [Tip: hold Ctrl and click a link to open it in a new tab. (Hide tip)]

9.1 Exploring Patterns and Processes