List

Functions & Graphs: Age 11-14

This is part of our Secondary Curriculum collection of favourite rich tasks arranged by topic.

Scroll down to see the complete collection, or explore our subcollections on Perimeter and Area in two dimensions, and Surface Area and Volume in three dimensions.

Treasure Hunt
problem
Favourite

Treasure Hunt

Age
7 to 14
Challenge level
filled star empty star empty star
Can you find a reliable strategy for choosing coordinates that will locate the treasure in the minimum number of guesses?
Diamond Collector
game
Favourite

Diamond Collector

Collect as many diamonds as you can by drawing three straight lines.

How far does it move?
problem
Favourite

How far does it move?

Age
11 to 14
Challenge level
filled star empty star empty star

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects the distance it travels at each stage.

Parallel lines
problem
Favourite

Parallel lines

Age
11 to 14
Challenge level
filled star empty star empty star
How does the position of the line affect the equation of the line? What can you say about the equations of parallel lines?
Reflecting Lines
problem
Favourite

Reflecting Lines

Age
11 to 14
Challenge level
filled star empty star empty star
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
problem
Favourite

Translating Lines

Age
11 to 14
Challenge level
filled star empty star empty star
Investigate what happens to the equation of different lines when you translate them. Try to predict what will happen. Explain your findings.
How steep is the slope?
problem
Favourite

How steep is the slope?

Age
11 to 14
Challenge level
filled star empty star empty star

On the grid provided, we can draw lines with different gradients. How many different gradients can you find? Can you arrange them in order of steepness?

Speeding up, slowing down
problem
Favourite

Speeding up, slowing down

Age
11 to 14
Challenge level
filled star filled star empty star

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its speed at each stage.

Route to infinity
problem
Favourite

Route to infinity

Age
11 to 14
Challenge level
filled star filled star empty star
Can you describe this route to infinity? Where will the arrows take you next?
Fill Me Up
problem
Favourite

Fill Me Up

Age
11 to 14
Challenge level
filled star filled star empty star

Can you sketch graphs to show how the height of water changes in different containers as they are filled?

Up and across
problem
Favourite

Up and across

Age
11 to 14
Challenge level
filled star filled star filled star

Experiment with the interactivity of "rolling" regular polygons, and explore how the different positions of the dot affects its vertical and horizontal movement at each stage.



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Functions & Graphs - Stage 3 STEM footer
 

You may also be interested in this collection of activities from the STEM Learning website, that complement the NRICH activities above.