- 1. The Building Blocks of Geometry
Define and identify points (0D), lines (1D), rays, and line segments, and understand the difference between abstract geometric ideas and physical drawings.
- 2. Measuring and Estimating Length
Estimate lengths visually, and measure or draw line segments accurately using millimeters (mm) and centimeters (cm).
- 3. Angle Labelling Conventions & Classification
Classify angles (acute, obtuse, reflex, right) using mathematical inequalities, and confidently name angles using the 3-letter convention and Greek letters.
- 4. Estimating Angles and the Blank Protractor
Estimate angle sizes visually and understand the scale of a semi-circular protractor using benchmark angles like 90°, 45°, and 135°.
- 5. Measuring & Drawing Angles (Acute & Obtuse)
Use a numbered protractor to accurately measure and draw acute and obtuse angles by correctly choosing between the inner and outer scales.
- 6. Mastering Reflex Angles
Measure and draw reflex angles (angles between 180° and 360°) by calculating the difference from a full 360° turn using a standard semi-circular protractor.
- 7. Intro to the Compass & Circular Arcs
Handle a compass steadily; construct exact circles and arcs given a radius by setting the tool accurately against a ruler.
- 8. Composite Construction (Hexagons & Equilateral Triangles)
Construct a regular hexagon and an equilateral triangle using overlapping circles and arcs without a protractor.
- 9. Triangle Construction 1 (SSS & The Triangle Inequality)
Construct triangles given SSS (Side-Side-Side) using a compass and ruler, and discover the Triangle Inequality Theorem by investigating impossible triangles.
- 10. Triangle Construction 2 (SAS & ASA)
Construct triangles using SAS and ASA initial conditions, utilizing the Sketch → Accurate method and measuring the missing side or angle for immediate feedback.
- 11. Construction 1 - Perpendicular Bisector
Construct a perpendicular bisector of a line segment using only a compass and a straightedge, and understand why the compass radius must be set to more than half the line's length.
- 12. Construction 2 - Angle Bisector
Construct an angle bisector using a compass and straightedge to perfectly divide any angle into two equal smaller angles.
- 13. Construction 3 - Perpendicular from a Point ON a Line
Construct a perpendicular line passing perfectly through a specific point resting on a given line segment.
- 14. Introduction to Loci (Points & Lines)
Define a locus and construct the locus of points that are a fixed distance from a single point and a fixed distance from a straight line segment.
- 15. Equidistant Loci & Compound Problems
Construct loci equidistant from two points and two lines, and solve compound loci problems by shading overlapping regions.
