Video lecture (English) of C10 Plane Geometry
C10 Plane Geometry
What’s on the Specification
| M5.1 | Use conventional terms and notation: points, lines, line segments, vertices, edges, planes, parallel lines, perpendicular lines, right angles, subtended angles, polygons, regular polygons and polygons with reflection and/or rotational symmetries. |
| M5.2 | Recall and use the properties of angles at a point, angles on a straight line, perpendicular lines and opposite angles at a vertex.
Understand and use the angle properties of parallel lines, intersecting lines, triangles and quadrilaterals. Calculate and use the sum of the interior angles, and the sum of the exterior angles, of polygons. |
| M5.3 | Derive and apply the properties and definitions of special types of quadrilaterals, including square, rectangle, parallelogram, trapezium, kite and rhombus.
Derive and apply the properties and definitions of various types of triangle and other plane figures using appropriate language. |
| M5.4 | Understand and use the basic congruence criteria for triangles (SSS, SAS, ASA, RHS). |
| M5.5 | Apply angle facts, triangle congruence, similarity, and properties of quadrilaterals to results about angles and sides. |
| M5.6 | Identify, describe and construct congruent and similar shapes, including on coordinate axes, by considering rotation, reflection, translation and enlargement (including fractional and negative scale factors).
Describe the changes and invariance achieved by combinations of rotations, reflections and translations. Describe translations as 2‑dimensional vectors. |
| M5.7 | Know and use the formula for Pythagoras’ theorem: $a^{2}+b^{2}=c^{2}$
Use Pythagoras’ theorem in both 2 and 3 dimensions. |
| M5.8 | Identify and use conventional circle terms: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment (including the use of the terms minor and major for arcs, sectors and segments). |
Learning Objectives
- Recall and apply properties of angles, lines, triangles, quadrilaterals, and other polygons.
- Understand and apply congruence criteria (SSS, SAS, ASA, RHS) and similarity for triangles.
- Apply Pythagoras’ Theorem in 2D geometric problems.
- Know and use key circle terminology and apply fundamental circle theorems.
- Apply the Sine Rule and Cosine Rule to solve for unknown sides and angles in triangles and calculate their areas.
- Understand and describe geometric transformations: rotation, reflection, translation, and enlargement.
Suggested Time
| Task | No. of Questions | Suggested Time |
|---|---|---|
| Examples | 13 | 150 min |
| Quiz | 12 | 30 min |
| Practice A | 30 | 75 min |
| Practice B | 20 | 75 min |
| Total | 75 | approx. 5-6 hrs |
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