This is the students’ version of the page. Log in above for the teachers’ version.
Skill isolation: identifying the angle between a line and a plane
Click through this applet to see how we can define the angle between a line and a plane.
You can click and drag to rotate the view.
Any points in blue can be moved around.
Skill isolation: identifying the face and line segment that make a given angle
Look at the diagram and fill in the blanks given underneath it. You may need to click and drag the shape to rotate it to get a better view of the marked angle. (Note that any points labelled on the diagram are either vertices or midpoints of an edge.)
Reveal the answer by clicking on the question text.
Click the “New angle” button to generate a new question.
Rotate the shape by clicking and dragging the mouse. Hold down shift and drag to translate the shape. Scroll up or down on the applet to zoom in or out.
Trigonometry with right-angled triangles in 3D shapes
Teachers: log in to access the following:
- Slides in PPTX (with click-to-reveal answers)
- Slides in PDF (one slide per page, suitable for importing into IWB software)
- Worksheet (with space for student work)
- Handout (slides with exercises only; 4 per page for reduced printing)
Teachers: log in to access these.
Interactive GeoGebra activity
Rotate the cuboid by clicking and dragging the mouse. Hold down shift and drag to translate the cuboid. Scroll up or down on the applet to zoom in or out.
- G22a – The sine rule
- G22b – The cosine rule
- Trigonometry assorted problems – requiring knowledge of G20a, G20b, G20c, G22a, G22b, and G23a