Mathematics / Year 7 / Space

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Curriculum content descriptions

classify triangles, quadrilaterals and other polygons according to their side and angle properties; identify and reason about relationships (AC9M7SP02)

Elaborations
  • using strips of paper with parallel sides to make triangles and quadrilaterals, and contrasting the rigidity of triangles with the flexibility of quadrilaterals
  • constructing triangles with \(3\) given side lengths and discussing the question, “Can any \(3\) lengths be used to form the sides of a triangle?”
  • identifying and communicating about side and angle properties of scalene, isosceles, equilateral, right-angled, acute and obtuse triangles using geometric conventions
  • describing, comparing and contrasting squares, rectangles, rhombuses, parallelograms, kites and trapeziums, explaining the relationships between these shapes
General capabilities
  • Critical and creative thinking Critical and Creative Thinking
  • Numeracy Numeracy
ScOT terms

Shapes (Geometry),  Polygons,  Triangles (Shapes),  Quadrilaterals

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3 direct matches to AC9M7SP02 | 17 other related resources
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Making triangles

  • TLF-IDA004917

In this lesson, students study the concept of triangle inequality, which determines if three positive numbers can serve as the side lengths of a triangle. Students experiment with various combinations of three natural numbers. They investigate whether these numbers can form a triangle and classify and construct the corresponding ...

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MathXplosion, Ep 10: What is the strongest shape?

  • TLF-IDM024946

Are triangles really the strongest shapes ever? If so, why? Learn how and why right-angled and equilateral triangles have been used in engineering, architecture and design through the ages.

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Interactive

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

  • TLF-IDM016261

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

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Transformations of the plane

  • TLF-IDM012842

This is a website designed for both teachers and students that introduces some transformations of the plane using coordinates in the Cartesian plane. In particular, transformations, translations, reflections in an axis and rotations of multiples of 90 degrees are discussed. Coordinates are used to describe these transformations. ...

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Video

Volume and mathematical modelling video

  • TLF-IDA003095

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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Video

The amazing 'angle-a-tron'

  • TLF-IDM017689

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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MathXplosion, Ep 50: How to use a tetrahedron to solve the tree problem

  • TLF-IDM024991

How can you place four trees exactly the same distance apart from one other? By making a model! By using miniature trees to make a model of the problem, it becomes clear that a 2D solution is impossible. We learn how objects can help us visualise the problem situation, which in this case requires a 3D solution: a tetrahedron.

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Video

MathXplosion, Ep 34: Kite symmetry

  • TLF-IDM025006

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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MathXplosion, Ep 33: On the grid

  • TLF-IDM025009

Explore graphs, grids and mapping with a focus on reading and writing location data using coordinate geometry. Grids and maps illustrate the concepts of parallel/perpendicular lines (axes or labelled number lines), ordered pairs and intersection points.

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Video

Comparing fuel consumption

  • TLF-IDM021132

Is it more fuel efficient to drive or fly between two places? Watch this clip and learn how to calculate the answer. What are the various factors that need to be taken into account? This video was made using the American measurement of gallons per hour, American firgures for the average number of passengers in a car and ...

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Area of a square and a triangle

  • TLF-IDM020294

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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Interactive

Syllabus bites – speedy sliding

  • TLF-IDM021848

This is the first in a series of Syllabus bites related to transformations on the Cartesian plane aimed at Stage 4 Mathematics. Students find the coordinates of image points after translation. In doing so, they develop fluency in using coordinates and familiarity with the Cartesian plane, providing a basis for the investigations ...

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Interactive

Syllabus bites – flipping and sliding

  • TLF-IDM016436

This is the third in a series of Syllabus bites related to transformations on the Cartesian plane. Students further their understanding of translation and reflection and explore relationships between these two transformations.

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Interactive

Numeracy wrap: Tell me why

  • TLF-IDM016554

Interactive activities that guide students to consider the use and presentation of geometric reasoning.

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Syllabus bites – mixing it up

  • TLF-IDM016282

The fifth in a series of Syllabus bites related to transformations on the Cartesian plane. This bite covers combinations (composition) of transformations.

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Are plants mathematicians?

  • TLF-IDM017685

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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Interactive

Syllabus bites – turbo turning

  • TLF-IDM016297

The fourth in a series of Syllabus bites related to transformations on the Cartesian plane. This Bite covers rotation of points.

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Video

Maths inside bees and beehives

  • TLF-IDM021608

Bees are necessary for assisting many plants to produce the food we eat, including meat and milk. Colony collapse disorder, which describes the disappearance of beehives, could have catastrophic effects on food production. Australian scientists are applying their maths and science knowledge to build up a picture of a healthy ...

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Video

Working out the areas

  • TLF-IDM020280

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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Video

What are pixels?

  • TLF-IDM020591

Meet Kevin Systrom and Piper Hanson as they explain how digital images work. What are pixels, those tiny dots of light, made from? How are colours created and represented? What does Kevin say about the way mathematical functions are used to create different image filters. What is the difference between image resolution ...

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