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Ecolint Campus des NationsMathematics
MYP 3Year 9Term 1–2

Architecture

Geometry
Statement of inquiry

Mathematics may be an essential tool to model real-life structures consisting of complex shapes and forms.

Assessed against

The MYP criteria this unit is marked against.

  • Knowing and Understanding
  • Investigating Patterns
  • Communicating
  • Applying Mathematics in Real-life Contexts
What each criterion means →

What this unit covers

The sub-topics taught, in the order the department teaches them.

  • Surds
  • Pythagoras
  • Significant figures
  • 3D Trigonometry
  • 3D Shapes: Volume, Surface Area
29 objectives

Learning objectives

What students should be able to do by the end of this unit.

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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).

Mensuration

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  • Use vocabulary for 3D shapes: vertex, edge, face.
  • Classify 3D shapes and identify their properties.
  • Draw and interpret nets of 3D solids.
  • Calculate the volume of prisms (including cylinders).
  • Calculate the volume of pyramids and cones (V = ⅓ × base area × height).
  • Calculate the volume of a sphere (V = ⁴⁄₃ π r³).
  • Calculate the surface area of prisms and cylinders.
  • Calculate the surface area of a sphere (SA = 4πr²).
  • Convert between units of capacity, area and volume.
  • Substitute values into mensuration formulae.
  • Rearrange mensuration formulae to make a different variable the subject.

Trigonometric Ratios

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  • Identify and name the sides of a right-angled triangle (opposite, adjacent, hypotenuse).
  • Define the sine, cosine and tangent ratios (SOH CAH TOA).
  • Use trigonometric ratios to find a missing side in a right-angled triangle.
  • Use inverse trigonometric ratios to find a missing angle in a right-angled triangle.
  • Use exact values of sin, cos and tan at 30°, 45° and 60°.
  • Apply right-angle trigonometry to angles of elevation and depression.
  • Apply right-angle trigonometry to problems set inside 3D solids.
Review pack

Curated revision materials parents and students can download.

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MYP framing

Focus ATLs
  • Communication – I. Communication skills
  • Thinking – VIII. Critical thinking skills
Key concepts
  • Form is the shape and underlying structure of an entity or piece of work, including its organization, essential nature and external appearance.
Global context
  • Scientific and technical innovation
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