Gr 8 (Geometry)

Geometry of Straight Lines:

• Angle relationships: Recognize and describe angles formed by perpendicular, intersecting, and parallel lines.

• Problem-solving: Solve geometric problems using angle relationships.

Geometry of 2D Shapes:

• Classifying triangles: Identify and define equilateral, isosceles, and right-angled triangles.

• Properties: Investigate the angles in triangles, including the sum of interior angles, angles in equilateral triangles, and sides/base angles of isosceles triangles.

• Constructions: Provide learners with accurately constructed triangles to investigate properties.

• Classifying quadrilaterals: Identify and define parallelograms, rectangles, squares, rhombuses, trapeziums, and kites.

• Properties: Investigate sides and angles in quadrilaterals, including the sum of interior angles and properties of parallelograms.

• Constructions: Provide learners with accurately constructed quadrilaterals to investigate properties.

• Problem-solving: Solve geometric problems involving unknown sides and angles in triangles and quadrilaterals.

• Similar and congruent shapes: Identify and describe the properties of congruent and similar shapes.

• Problem-solving:  Solve geometric problems involving unknown sides and angles using the properties of similar and congruent shapes.

GEOMETRY OF STRAIGHT LINES 

Angle relationships 

• Recognise and describe pairs of angles formed by: 

‒ Perpendicular lines 

‒ Intersecting lines parallel lines cut by a transversal 

Solving problems 

• Solve geometric problems using the relationships between pairs of angles described above 

 GEOMETRY OF 2D SHAPES 

Classifying 2D shapes 

• Identify and write clear definitions of triangles in terms of their sides and angles, distinguishing between: 

‒ Equilateral triangles
‒ Isosceles triangles
‒ Right-angled triangles 

Constructions 

PROVIDE LEARNERS WITH ACCURATELY CONSTRUCTED 

FIGURES TO INVESTIGATE THE PROPERTIES OF TRIANGLES 

Investigating properties of geometric figures 

• Investigate the angles in a triangle, focusing on: 

‒ The sum of the interior angles of triangles
‒ The size of angles in an equilateral triangle
‒ The sides and base angles of an isosceles triangle 

Classifying 2D shapes 

• Identify and write clear definitions of quadrilaterals in terms of their sides and angles, distinguishing between: 

‒ Parallelogram 

‒ Rectangle
‒ Square
‒ Rhombus
‒ Trapezium
‒ Kite 

Constructions 

PROVIDE LEARNERS WITH ACCURATELY CONSTRUCTED 

FIGURES TO INVESTIGATE THE PROPERTIES OF QUADRILATERALS 

Investigating properties of geometric figures 

• Investigate sides and angles in quadrilaterals, focusing on: 

‒ The sum of the interior angles of quadrilaterals
‒ The sides and opposite angles of parallelograms 

Solving problems 

• Solve geometric problems involving unknown sides and angles in triangles and quadrilaterals, using known properties and  definitions 

Similar and congruent 2D shapes 

• Identify and describe the properties of congruent shapes
• Identify and describe the properties of similar shapes 

Solving problems 

• Solve geometric problems involving unknown sides and angles in triangles and quadrilaterals, using known properties and definitions