Mathematics / Year 7 / Measurement and Geometry / Geometric reasoning

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Curriculum content descriptions

Demonstrate that the angle sum of a triangle is 180° and use this to find the angle sum of a quadrilateral (ACMMG166)

Elaborations
  • using concrete materials and digital technologies to investigate the angle sum of a triangle and quadrilateral
General capabilities
  • Numeracy Numeracy
ScOT terms

Polygons,  Adjacent angles

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3 direct matches to ACMMG166 | 17 other related resources
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Interactive activities that guide students to consider the use and presentation of geometric reasoning.

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The geometer's warehouse

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This web-based, multimedia resource focuses on the geometry of the Stage 4 and Stage 5 Mathematics syllabus. It comprises 70 dynamic html worksheets, each exploring a different outcome in Stage 4 and Stage 5 geometry.

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Geometric reasoning including parallel lines and angle sum of a triangle

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This is a website designed for both teachers and students that addresses geometry from the Australian Curriculum for year 9 students. It contains material on geometry and includes information regarding parallel lines and the angle sum of triangles. There are pages for both teachers and students. The student pages contain ...

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Volume and mathematical modelling video

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Use this video as a springboard to explore volume of composite shapes, adjusting numbers to make calculations friendlier and draw on reasoning and mathematical modelling.

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Examples of Pythagoras' Theorem Part 1

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An animated tutorial demonstrating the application of Pythagoras' theorem through some worked examples, followed by a interactive quiz.

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Numeracy wrap: Parallelogram peculiarities

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Interactive activities that guide students to investigate properties of parallelograms.

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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.

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Examples of Pythagoras' Theorem Part 2

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An animated tutorial demonstrating the application of Pythagoras' theorem through some worked examples, followed by a interactive quiz.

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The amazing 'angle-a-tron'

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Lost your protractor? Well, find out how to make an 'angle-a-tron'. This might just be the coolest mathematical tool you've ever used. Measure all sorts of angles. It's easy with an angle-a-tron!

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Do you know how to work out the area of a square, a rectangle or a triangle? Learn the simple maths formulas needed from this video. What would be the area of a rectangle with a height of 5cm and a length of 3cm?

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MathXplosion, Ep 34: Kite symmetry

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Unfurl the secret of symmetry used in kites to make them fly! A kite in geometry looks a lot like a kite in the sky. We see that a kite is a special quadrilateral in which one of its two diagonals (long and short) is also its axis of symmetry, and if you fold the kite along that diagonal, the two halves will match up exactly ...

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Modelling climate changes

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There is a saying: 'climate is what you expect and weather is what you get'. |Understanding climate change is very difficult for most people, especially when the weather we experience is different from the information we are given by scientists about the climate changing. The difference is that weather reflects short-term ...

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Types of triangles

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What is the difference between equilateral, isosceles and scalene triangles? See if you can find and classify triangles based on the definitions given in this maths video.

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Area of a square and a triangle

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Do you know the formula for working out the area of a square? How about a triangle? Watch this short maths video to learn the formulas for both.

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Area of a parallelogram

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

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Numeracy wrap: It's what's inside that counts

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interactive activities that guide students to explore the interior and exterior angle sums of polygons.

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The Mathematical Toolkit

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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 ...

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Are plants mathematicians?

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Ever noticed that plants are examples of Fibonacci numbers? Watch Vi Hart draw examples of flower petals and leaf growth that follow this pattern. See how plants seem to use Phi (.), the golden ratio. Find out how to make your own 'angle-a-tron' to create interesting petal designs. This is the second in a series of two.

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Numeracy wrap: Race across transversals

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Interactive activities that guide students to explore angles in parallel lines.

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Using Pythagoras' Theorem (Simulation)

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An interactive simulation in which students use Pythagoras' theorem can be used to find distances.

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