About this topic
Before you begin
Calculate triangle areas and cuboid volumes, then use angle sums and quadrilateral properties to justify unknown angles.
Learning goals
- Identify a triangle's base and perpendicular height
- Calculate the area of a triangle
- Calculate the area of a composite plane figure
- Find the volume of a solid built from unit cubes
- Construct geometric figures from stated conditions
- Calculate the volume of a cube or cuboid
- Calculate the volume of liquid in a rectangular tank
- Relate cubic centimetres to millilitres and litres
- Apply the sum of parts of a right angle
- Apply the sum of angles on a straight line
- Apply the sum of angles around a point
- Deduce all unknown angles at two intersecting lines
- Connect triangle, rectangle and square facts to deduce angles in a drawn composite figure
- Apply the sum of the three interior triangle angles
- Deduce every missing angle from the equal sides of an isosceles triangle
- Deduce all three angles from an equilateral triangle
- Deduce missing angles in a right-angled triangle
- Use the guaranteed side and angle properties of an isosceles triangle
- Use the guaranteed side and angle properties of an equilateral triangle
- Use perpendicular sides and complementary angles of a right-angled triangle
- Connect parallelogram and connected shape facts to deduce angles using existing lines
- Connect rhombus and connected shape facts to deduce angles using existing lines
- Connect trapezium and connected shape facts to deduce angles using existing lines
- Deduce every missing angle in a parallelogram
- Deduce every missing angle in a rhombus
- Deduce missing angles on both nonparallel sides of a trapezium
- Use all guaranteed side and angle relations of a parallelogram
- Use all guaranteed side and angle relations of a rhombus
- Identify a trapezium's parallel pair and corresponding angle sums
Syllabus statements covered
- Concepts of base and height of a triangle
- Area of triangle
- Finding the area of composite figures made up of rectangles, squares and triangles
- Building solids with unit cubes
- Measuring volume in cubic units, cm³/m³, excluding conversion between cm³ and m³
- Drawing cubes and cuboids on isometric grid
- Volume of a cube/cuboid
- Finding the volume of liquid in a rectangular tank
- Relationship between ℓ (or ml) with cm³
- Angles on a straight line
- Angles at a point
- Vertically opposite angles
- Finding unknown angles
- Properties of
- Isosceles triangle
- Equilateral triangle
- Right-angled triangle
- Angle sum of a triangle
- Finding unknown angles without additional construction of lines
- Properties of
- Parallelogram
- Rhombus
- Trapezium
- Finding unknown angles without additional construction of lines
Choose a lesson
Work through them in order.
- Not startedTriangle base, height and areaNextFind a perpendicular height and connect triangle area with half a parallelogram.
- Not startedUnit cubes and volumeNextCount three-dimensional space in equal cubes and read a layered cube drawing.
- Not startedCuboids and liquid volumeNextUse complete layers to derive cuboid volume and measure liquid in a rectangular tank.
- Not startedAngles on lines and at a pointNextFind missing angles using turns, intersecting lines, equal parts and overlapping openings, and explain which facts make each method valid.
- Not startedTriangle angle propertiesNextUse the angle sum and equal-side markings to justify unknown triangle angles.
- Not startedParallel quadrilaterals and their anglesNextUse marked parallel sides and named quadrilateral properties to justify unknown angles.