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Grade 10 Core Mathematics — Measurements and Geometry
Plan schemes for the Measurements and Geometry strand in Grade 10 Core Mathematics.
Sub-strands
- Similarity and Enlargement
- Determine the centre of enlargement and the linear scale factor for similar figures.
- Construct the image of an object under an enlargement given the centre and the linear scale factor.
- Determine the area and volume scale factor of different figures and solids.
- Reflection and Congruence
- Identify lines of symmetry in plane figures.
- Determine the properties of reflection in different situations.
- Draw an image given an object and a mirror line on a plane surface and Cartesian plane.
- Rotation
- Determine the properties of rotation in different situations.
- Rotate an object, given the centre and angle of rotation on a plane surface and the Cartesian plane.
- Determine the centre and angle of rotation given an object and its image.
- Trigonometry 1
- Determine the trigonometric ratios of acute angles from mathematical tables and calculators.
- Relate sines and cosines of complementary angles.
- Relate the sine, cosine and tangent of acute angles.
- Area of Polygons
- Derive the formula for the area of a triangle given two sides and an included angle.
- Work out the area of a triangle given two sides and an included angle.
- Determine the area of a triangle using Heron’s formula.
- Area of a Part of a Circle
- Determine the area of an annulus in different situations.
- Work out the area of a sector of a circle in real-life situations.
- Determine the area of an annular sector in different situations.
- Surface Area and Volume of Solids
- Determine the surface area of prisms, pyramids, cones, frustums, and spheres.
- Calculate the surface area of composite solids.
- Calculate the volume of prisms, pyramids, cones, frustums, and spheres.
- Vectors I
- Explain vector and scalar quantities with illustrations.
- Use vector notations in different ways.
- Represent vectors geometrically in different situations.
- Linear Motion
- Explain the terms distance, displacement, speed, velocity and acceleration in real life situations.
- Determine velocity and acceleration in different situations.
- Draw a displacement-time graph of different situations.