Measurement and shapes
Build and connect the representations and methods in measurement and shapes.
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Before you begin
Build and connect the representations and methods in measurement and shapes.
Learning goals
- Identify a triangle's base and perpendicular height
- Calculate the area of a triangle
- Calculate the area of a composite plane figure
- Calculate the exposed boundary of a composite plane figure
- Calculate the volume of a cube or cuboid
- Calculate the volume of liquid in a rectangular tank
- Relate cubic centimetres to millilitres and litres
- 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
- Use right corners and angle partitions between connected rectangles or squares
Syllabus statements covered
- concepts of base and height of a triangle
- area of triangle
- finding the area and perimeter of composite figures made up of squares, rectangles and triangles
- volume of a cube/cuboid
- finding the volume of liquid in a rectangular tank excluding conversion between cm³ and m³
- relationship between ℓ (or ml) with cm³
- properties of • isosceles triangle • equilateral triangle • right-angled triangle
- angle sum of a triangle
- finding unknown angles, without additional construction of lines, in composite geometric figures involving • square • rectangle • triangle
Lessons
Work through them in order.
About lesson progress
Lesson marks record what you have studied. Checks show understanding separately. Guest marks come from this device.
- Triangle base, height and areaFind a perpendicular height and connect triangle area with half a parallelogram.
- Cuboids and liquid volumeUse complete layers to derive cuboid volume and measure liquid in a rectangular tank.
- Triangle angle propertiesUse the angle sum and equal-side markings to justify unknown triangle angles.
- Angles between rectangles and squaresUse right corners and distinguish separate gaps from overlapping corner parts.