MYP 4Year 10Term 2–3
Trigonometry
Geometry
Statement of inquiry
How accurately can we know a length, an angle or a direction, and what does that uncertainty do to everything we calculate from it?
Assessed against
The MYP criteria this unit is marked against.
- Communicating
- Applying Mathematics in Real-life Contexts
What this unit covers
The sub-topics taught, in the order the department teaches them.
- Right-angled trigonometry & Pythagoras in 3D
- Volume & surface area (cones, cylinders, pyramids)
- Bearings
- Significant figures
- Bounds
- Absolute & percentage error
- Error in compound calculations
15 objectives
Learning objectives
What students should be able to do by the end of this unit.
Area, Volume and Surface Area
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- Calculate the area of compound shapes built from rectangles, triangles, parallelograms, trapezia and circles.
- Calculate the volume of prisms, including cylinders.
- Calculate the volume of pyramids and cones using $V = \tfrac{1}{3} \times \text{base area} \times h$.
- Calculate the surface area of prisms and cylinders, including curved surfaces.
- Rearrange a mensuration formula to make a chosen variable the subject.
Right-angle and Non-right-angle Trigonometry
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- Use SOH-CAH-TOA to find missing sides and angles in right-angled triangles.
- Apply Pythagoras' theorem and right-angle trigonometry inside 3D solids (space diagonals, slant heights).
- Apply the sine rule to find missing sides and angles in non-right-angled triangles.EXT
- Apply the cosine rule to find missing sides and angles in non-right-angled triangles.EXT
- Apply the area-of-a-triangle formula $\tfrac{1}{2}ab\sin C$.EXT
Bearings and Accuracy
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- Read and draw bearings as three-figure angles measured clockwise from north.
- Solve navigation and surveying problems using bearings together with right-angle and non-right-angle trigonometry.
- Round answers to a given number of decimal places or significant figures and decide on an appropriate level of accuracy.
- Calculate the percentage error between an approximate and an exact value, using the absolute-value convention.
- Combine $\pm$ measurement errors through sums and products, and discuss the effect on the final answer.EXT
Review pack
Curated revision materials parents and students can download.
A review pack for this unit is being prepared.
MYP framing
- Focus ATLs
- Thinking
- Communication
- Key concepts
- Approximation
- Quantity
- Space
- Global context
- Scientific & Technical Innovation