MYP 3Year 9Term 1
9.1 Surds and Pythagoras
Surds simplification & operations · Pythagoras' theorem and applications
Number
11 objectives
Learning objectives
What students should be able to do by the end of this unit.
Surds
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- Differentiate between rational and irrational numbers.
- Understand the concept of surds and their approximate values.
- Simplify surds by extracting the largest square factor.
- Multiply and divide surds, and add/subtract like surds.
- Rationalise a denominator of the form 1/√a.
Pythagoras' Theorem
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- Apply Pythagoras' theorem to find a missing side in a right-angled triangle.
- Use the converse of Pythagoras' theorem to test whether a triangle is right-angled.
- Use Pythagoras' theorem to find distances between two points in 2D.
- Use Pythagoras' theorem to find lengths in 3D solids (space diagonals, slant heights).
- Give Pythagoras answers in surd form where appropriate.
- Apply Pythagoras' theorem to practical problems (ladders, ziplines, triangles in real contexts).
Review pack
Curated revision materials parents and students can download.
A review pack for this unit is being prepared.