IB Middle Years Programme · Mathematics MYP Year 1

Geometry – Properties of Shape

Cover illustration for Geometry – Properties of Shape (Mathematics MYP Year 1).
MYP · Mathematics MYP Year 1

Geometry – Properties of Shape

22 min readFoundationalCore geometry unit — assessed through MYP Criterion A (Knowing & Understanding) and Criterion D (Applying) tasks; typically 15–20% of a Year 1 geometry unit test and a recurring skill in later units on Pythagoras and transformations.

Geometry in Year 1 isn't about spotting a shape by eye — it's about proving what you see with the right vocabulary. Every mark scheme here rewards precision: '4 cm equals 4 cm, so two sides match' beats 'it looks isosceles' every single time. Learn the definitions cold, and the describe/explain questions answer themselves.

Overview

This topic builds the vocabulary that every later geometry unit depends on — Pythagoras, transformations, and trigonometry all assume you can already classify a triangle, name a circle's parts, and justify an angle using a rule rather than a protractor guess. The exam questions almost never ask you to just calculate; they ask you to describe or explain, which means naming the property and quoting the evidence for it.

  • Triangles and polygons: classification by sides and angles, plus interior angle sum rules.
  • Symmetry and tessellation: how shapes reflect, rotate, and tile a plane with no gaps.
  • Congruence and similarity: same shape same size vs same shape different size — and how to prove either.
  • Circle properties: the vocabulary (radius, chord, tangent, sector...) that every circle question is built from.
  • Angle rules: the small set of 180°/360° facts that justify almost every angle calculation you'll ever do.
  • Lines and angles: what happens when a line crosses two parallel lines — corresponding, alternate, co-interior.

The shape of the chapter

Command terms that drive this topic

Command termWhat it demandsAOMark-earning move
Identify / NameState the single correct classification word — no working needed.Knowing1 mark for the exact term (e.g. 'isosceles'); a description here earns nothing extra.
DescribeState the specific property AND connect it to the given numbers/diagram.Knowing & UnderstandingUsually 1–2 marks: one for the rule, one for linking it to the actual values given.
ExplainGive a reason that shows WHY, using a geometric fact (angle sum, side equality, parallel lines).UnderstandingBare assertion without the underlying rule caps the mark.
CalculateShow the numeric working, not just the final number.ApplyingMethod marks are awarded for the correct equation set up, even if arithmetic slips.
Give an example ofProduce your own valid instance that satisfies the rule.ApplyingMark lost if your invented numbers don't actually satisfy the underlying rule (e.g. angles not summing to 180°).
CompareState a similarity AND a difference between two things.UnderstandingOne-sided answers (only similarity, or only difference) lose half the marks available.

Key point

Every 'describe' or 'explain' answer in this topic needs a NUMBER or NAMED RULE as evidence — 'two sides equal 4 cm' or 'angles on a straight line sum to 180°' — never just 'it looks like it'.

Overview

Geometry – Properties of Shape — Lesson Notes | Mathematics MYP Year 1