Teaching mathematics
Teaching mathematics

Start this free course now. Just create an account and sign in. Enrol and complete the course for a free statement of participation or digital badge if available.

Week 5: Introducing functions and graphs


A toaster
Figure 1 A toaster

Last week, you took the perspective of algebra as generalised arithmetic: reasoned about calculating with numbers and indeterminate quantities and used symbols to express those calculations and make comparisons between them.

This week looks at teaching algebra in the middle years from the perspective of functional thinking. This means focusing on various kinds of relationships: the idea of inputs and outputs (such as bread and toast), the idea of variables changing together, and the ideas of representing relationships with tables, algebraic symbols and graphs.

Take your learning further

Making the decision to study can be a big step, which is why you'll want a trusted University. The Open University has 50 years’ experience delivering flexible learning and 170,000 students are studying with us right now. Take a look at all Open University courses.

If you are new to University-level study, we offer two introductory routes to our qualifications. You could either choose to start with an Access module, or a module which allows you to count your previous learning towards an Open University qualification. Read our guide on Where to take your learning next for more information.

Not ready for formal University study? Then browse over 1000 free courses on OpenLearn and sign up to our newsletter to hear about new free courses as they are released.

Every year, thousands of students decide to study with The Open University. With over 120 qualifications, we’ve got the right course for you.

Request an Open University prospectus371