Mathematics Grade 5 Term 3 Lecture Notes

Practice flashcards covering properties of 3D shapes, the data cycle, length conversions, and calculations for perimeter, area, and volume.

3-D Shape

A shape that stands out and has three dimensions: length, width, and height.

Face

The flat or curved surface of a shape.

Edge

The line where two faces meet.

Vertex / Vertices

The sharp corner or point where edges meet.

Prism

A 3-D object with 2 identical, parallel faces (bases) connected by rectangular flat faces.

Pyramid

A 3-D object with a polygon base where all other faces are triangles that go up and meet at a single point.

Cube

A type of prism with 6 identical square faces, 12 straight edges, 8 vertices, and only right angles.

Rectangular Prism

A type of prism with 12 straight edges, 8 vertices, and right angles, having rectangular faces (usually 4 rectangles and 2 squares, or 6 rectangles where opposite faces are identical).

Sphere

A 3-D object with 1 curved surface and no vertices.

Cylinder

A 3-D object with 2 flat circular faces and 1 curved surface.

Cone

A 3-D object with 1 flat circular face and 1 curved surface that meets at a point.

Data Cycle

The process of answering a question by collecting, organising, representing, and analysing data (information).

Tally Marks

A quick way to keep count grouped in fives (e.g., 卌) to make them easy to count.

Pictograph

A visual representation of data that uses pictures and always includes a key (e.g., 1 picture = $5$ cars).

Bar Graph

A visual representation that uses rectangular bars of different heights to show data.

Pie Chart

A circular chart divided into slices where the bigger the slice, the larger the amount of data.

Mode

The item or score that appears the most often in a data set.

Probability

The chance of an event happening.

Ruler

An instrument for measuring small things in $\text{mm}$ and $\text{cm}$.

Tape measure / Metre stick

Instruments for measuring medium things in $\text{cm}$ and $\text{m}$ (e.g., a desk or a room).

Trundle wheel

An instrument for measuring long distances in $\text{m}$ or $\text{km}$ (e.g., a sports field).

Metric Conversion: $\frac{1}{2}\,\text{km}$

$$500\,\text{m}$$

Metric Conversion: $\frac{1}{4}\,\text{km}$

$$250\,\text{m}$$

Metric Conversion: $\frac{1}{2}\,\text{m}$

$$50\,\text{cm}$$

Metric Conversion: $\frac{1}{2}\,\text{cm}$

$$5\,\text{mm}$$

Perimeter

The total distance or path around the outside of a 2-D shape, calculated by adding the lengths of all outside edges together.

Area

The amount of flat space a 2-D shape covers, measured in square units such as $\text{cm}^2$.

Volume/Capacity

The amount of space inside a 3-D object, measured by packing it with smaller blocks to understand cubic units.

Cube: 8 vertices, 12 edges, 6 faces.

Rectangular Prism: 8 vertices, 12 edges, 6 faces.

Sphere: 0 vertices, 0 edges, 1 face.

Cylinder: 0 vertices, 0 edges, 3 faces.

Cone: 1 vertex, 1 edge, 2 faces.

Prism: 6 vertices (for a triangular prism), 9 edges (for a triangular prism), 5 faces (for a triangular prism).

Pyramid: 5 vertices (for a square pyramid), 8 edges (for a square pyramid), 5 faces (for a square pyramid).