Functions & Graphs - Stage 3
This collection of resources support the teaching of Equations and Formulae.
Here are some of the favourite activities selected by the NRICH team.
- Route to Infinity Can you describe this route to infinity? Where will the arrows take you next?
- Coordinate Patterns This task requires learners to explain and help others, asking and answering questions.
- Reflecting Lines Investigate what happens to the equations of different lines when you reflect them in one of the axes. Try to predict what will happen. Explain your findings.
- Translating Lines Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
These are just a few of the activities on Functions and Graphs that you can find on the NRICH curriculum pages.
The activities below, taken from the STEM Learning website, complement the NRICH activities above.
Graphs
Graphs pack one mainly concerns linear graphs.
SMILE card 0183 (pdf pages 4 and 5) is an investigation into the relationship between coordinates of points on straight lines. Students list the coordinates, construct a mapping diagram and and then find the rule for points on a number of given lines.
SMILE card 0215 (pdf pages 6 and 7) is an investigation where students plot integer values of the coordinates and then plot intermetiate values including fractions and decimals.
Intermediate 1
The relevant section is Chapter 11 - Graphs which begins on pdf page 203.
There are some questions suitable for group discussion about straight lines and their equations. Then students have sets of questions to help them find the equation of each straight line. Then there are questions about the relationship between the equation of a line and the gradient and intercept.
Graphs, Equations and Inequalities
This MEP text book for year 9 students covers graphs, equations and inequalities.
It contains a number of exercises that look at linear inequalities on a number line, solving linear inequalities, a recap of the equation of a straight line, graphs of quadratic functions, plotting quadratics using a table, translating quadratic graphs, reflecting quadratic graphs, graphs of cubic and reciprocal functions, solving non-linear equations graphically and by trial and improvement, solving quadratic inequalities using a graph and equations of perpendicular lines.
Graphs
The Instant Maths Ideas collection contains a range of rich starting points for mathematics exploration.
This pack includes ideas on Co-ordinates and straight-lines graphs- such as open-ended questions, "people maths", battleships and dissection puzzles.
