Curriculum

Geometry & Trigonometry Topics

Lessons, worked examples, and practice questions for MYP Geometry & Trigonometry.

Standard & Extended

Triangle Properties & Pythagoras

Analyzing congruent and similar triangles. Applying the Pythagorean theorem in both 2D layouts and 3D geometric spaces.

  • Pythagorean Theorem
  • Similarity & Ratios
  • 3D Pythagoras
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Standard & Extended

Trigonometric Ratios

Standard right-angled triangle trigonometry (SOH CAH TOA). Finding unknown sides, angles of elevation, and angles of depression.

  • SOH CAH TOA
  • Elevation & Depression
  • Unknown Sides & Angles
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Extended

Sine & Cosine Rules

Solving oblique (non-right-angled) triangles using the Sine Rule, Cosine Rule, and the trigonometric area formula.

  • Sine Rule
  • Cosine Rule
  • Trig Area Formula
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Extended

Radians & Unit Circle

Introducing radian angle measure, the unit circle definition of trig functions, arc length, and sector area calculations.

  • Radian Measures
  • Unit Circle
  • Sector & Arc Area
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Standard & Extended

Circle Geometry

Circle theorems, chord properties, tangents, intersecting chords, angles subtended at center vs circumference, cyclic quadrilaterals.

  • Circle Theorems
  • Cyclic Quadrilaterals
  • Tangents & Chords
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Standard & Extended

Perimeter, Area & Volume

Calculating perimeter and area of 2D composite shapes, and surface area and volume of 3D prisms, pyramids, cylinders, cones, and spheres.

  • Composite Area
  • Surface Area
  • 3D Volume
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Extended

Vectors

2D vectors, column vector notation, adding/subtracting vectors, scalar multiplication, unit vectors, and finding the scalar (dot) product.

  • 2D Vectors
  • Vector Arithmetic
  • Scalar Product
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Standard & Extended

Transformations & Coordinates

Applying reflections, rotations, translations, and dilations on the Cartesian coordinate grid. Finding distances and midpoints.

  • Translations & Rotations
  • Dilations
  • Coordinate Geometry
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IB MYP Framework

Inquiry Concepts in MYP Geometry & Trigonometry

MYP Mathematics uses key and related concepts to promote deep conceptual understanding and transfer learning.

Key Concept: Space

Understanding geometric properties, measurements, and transformations in 2D and 3D space, and the use of coordinate systems to describe position.

Key Concept: Relationships

Exploring connections between angles, sides, and trigonometric ratios within triangles and circles, and how these relationships define geometric structures.

Real-World Context

Architecture and engineering design, navigation and surveying, cartography, computer graphics, and physics (force vectors).

FAQs

Frequently Asked Questions

What is the focus of the MYP Geometry & Trigonometry branch?
This branch focuses on developing spatial reasoning, understanding properties of shapes, applying trigonometric principles to solve problems involving angles and distances, and using vectors for magnitude and direction.
How does MYP Geometry & Trigonometry transition to DP Mathematics?
Sine and Cosine rules, circle theorems, and vectors support DP trigonometry, complex numbers, and vector calculus.
Are geometric proofs emphasized in MYP Geometry?
While formal two-column proofs are less emphasized than in traditional geometry, students are expected to justify their reasoning and demonstrate understanding of geometric properties and theorems through problem-solving.