Mathematics / Year 8 / Measurement and Geometry / Using units of measurement

View on Australian Curriculum website Australian Curriculum, Assessment and Reporting Authority
Curriculum content descriptions

Find perimeters and areas of parallelograms, trapeziums, rhombuses and kites (ACMMG196)

Elaborations
  • establishing and using formulas for areas such as trapeziums, rhombuses and kites
General capabilities
  • Numeracy Numeracy
ScOT terms

Area,  Quadrilaterals,  Perimeter

Refine results by

Year level 7-8
Resource type
Learning area Mathematics
Interactive resource

Exploring area and perimeter

Build a compound shape on a grid from shapes such as rectangles, semicircles and squares. Notice that the total area of the compound shape equals the sum of the areas of all of the component shapes. Build a rectangle to produce a given area and perimeter. Identify shapes used to form a compound shape. Calculate the area ...

Interactive Resource

Renovate, Calculate!

A student resource that explores the use of mathematics in the trades. Highly interactive investigations into ratio, areas of special quadrilaterals and right-angled trigonometry.

Interactive Resource

Area of a parallelogram

This is a Geogebra activity used to teach the area of a parallelogram. Suitable for use with an interactive whiteboard (IWB).

Interactive Resource

The Mathematical Toolkit

A 2D Shapes tool that can be used to create geometric objects such as quadrilaterals, circles, triangles, lines, arcs, rays, segments and vectors on a coordinate grid. Plot and label the vertices to reveal the internal angles, side lengths, area and perimeter, then manipulate the shapes on a grid to transform their shape ...

Teacher resource

TIMES Module 11: Measurement and Geometry: area, volume and surface area - teacher guide

This is a 15-page guide for teachers containing explanations of the derivation of formulas for the areas of parallelograms, trapeziums, rhombuses and kites. Formulas for the volumes and surface areas of prisms and cylinders are obtained. Applications of these formulas are given. A history of the development of these concepts ...

Interactive resource

Area of triangles

Find the area of different types of triangles on a grid. Explore how the formula works. First, estimate the area of a chosen triangle on a grid. Next, work out the correct formula by assembling a series of triangles and rectangles. Then, compare the actual area of the triangle with your original estimate. Practise applying ...

Interactive resource

Compound shapes

Select from three levels of complexity for working with polygons. Estimate the area of a randomly-generated polygon. Try counting squares on a grid to help your estimate. Cut the shape into rectangles and triangles. Use a formula to calculate the exact area for each of the simple shapes. Then find the total area for the ...

Interactive resource

Exploring diameter and circumference

Explore the constant value of 'pi' by investigating the relationship between circumference and diameter. Unroll the circumference of a circle to form a straight line. See how many times the diameter can be placed beside it. Notice the relationship between the circumference and diameter applies no matter what size the circle ...

Interactive resource

Area of triangles: triangles without vertical or horizontal sides

Find the area of triangles that do not have vertical or horizontal sides. Explore how the formula works. First, estimate the area of a chosen triangle on a grid. Next, work out the correct formula by assembling a series of triangles and rectangles. Then, compare the actual area of the triangle with your original estimate. ...

Interactive resource

Area of triangles: height intersects with the base outside the triangle

Find the area of triangles with vertical or horizontal sides. In this type of triangle, the base may be chosen so that the height intersects with the base outside the triangle. Explore how the formula for finding the area of a triangle works. First, estimate the area of a chosen triangle on a grid. Next, work out the correct ...

Interactive resource

Area of triangles: height intersects with the base inside the triangle

Find the area of triangles that have vertical or horizontal sides. In this type of triangle, the height intersects with the base inside the triangle. Explore how the formula for finding the area of a triangle works. First, estimate the area of a chosen triangle on a grid. Next, work out the correct formula by assembling ...

Interactive resource

Exploring quadrilaterals

Examine the sides and angles of a four-sided shape. Identify its geometric properties such as the number of sides of equal length. Classify the shape as a parallelogram, rhombus, square, rectangle, kite or trapezium. Notice that some quadrilaterals can be classified in different ways.

Assessment resource

Area of triangles: assessment

Test your understanding of how to use the formula for calculating the area of triangles. Find the area of nine different triangles on a grid. First, predict the area of a chosen triangle on a grid. Find the base and height measurements of the triangle using an animation. Then, substitute the base and height measurements ...

Interactive Resource

Surface area and volume

This is an interactive resource about investigating the surface areas and volumes of rectangular and triangular prisms. The resource can be used in one of two modes. In the Explore mode, the student can vary the height, width and depth of the prism, and the surface area and volume are calculated automatically. In the Compute ...

Interactive resource

Exploring the Pythagorean theorem

Adjust the dimensions of a right-angled triangle. Calculate the area of squares bordering each side of the triangle. Notice that the area of the square bordering the hypotenuse is equal to the sum of the areas of the squares bordering the other two sides. Watch a video showing how Pythagoras's theorem is used to determine ...

Interactive resource

Area of triangles: triangles with a right angle

Find the area of right-angled triangles. Explore how the formula works. First, estimate the area of a chosen triangle on a grid. Next, work out the correct formula by assembling a series of triangles and rectangles. Then, compare the actual area of the triangle with your original estimate. Practise applying the formula ...

Interactive resource

EagleCat: scale it

Explore changes in area when a shape is acted on by a scale factor. Examine changes in volume when an object is acted on by a scale factor. Analyse the changes using whole numbers.

Teacher resource

Turn up the volume - unit of work

In this unit of work students explore and explain the connections between the surface area and volume of different shapes and how each attribute is measured.

Interactive resource

Compound shapes: large shapes

Estimate the area of a highly complex polygon. Try counting squares on a grid to help your estimate. Cut the shape into rectangles and triangles. Use a formula to calculate the exact area for each of the simple shapes. Then find the total area for the original polygon. Try dividing the shape again into fewer pieces. This ...

Interactive resource

Compound shapes: small shapes

Estimate the area of a simple polygon. Try counting squares on a grid to help your estimate. Cut the shape into rectangles and triangles. Use a formula to calculate the exact area for each of the simple shapes. Then find the total area for the original polygon. Try dividing the shape again into fewer pieces. This learning ...