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Grade 10 Essential Mathematics — Measurements and Geometry
Plan schemes for the Measurements and Geometry strand in Grade 10 Essential 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 scale factor of different figures.
- Reflection
- Identify and construct reflection images of figures.
- State and use the properties of reflection.
- Locate the mirror line given an object and its image.
- Trigonometry
- Define the trigonometric ratios sine, cosine and tangent of an acute angle.
- Determine trigonometric ratios from mathematical tables and calculators.
- Apply trigonometric ratios to solve right-angled triangles.
- Area of Polygons
- Apply formulae for the area of triangles and quadrilaterals.
- Determine the area of regular and irregular polygons.
- Solve problems involving area of polygons.
- Area of a Part of a Circle
- Identify sectors and segments of a circle.
- Calculate the area of a sector of a circle.
- Calculate the area of a segment of a circle.
- Surface Area of Solids
- Identify nets of prisms, pyramids, cylinders, cones and related solids.
- Calculate the surface area of prisms, pyramids, cylinders, cones and spheres.
- Apply surface area formulae in packaging, painting and other real-life situations.
- Volume and Capacity
- Distinguish volume and capacity in different situations.
- Calculate the volume of prisms, pyramids, cylinders, cones and spheres.
- Relate volume and capacity using appropriate units.
- Commercial Arithmetic I
- Calculate percentages in commercial situations.
- Work out profit, loss, discount and commission.
- Calculate simple interest in different situations.