Mathematics / Year 7 / Measurement and Geometry / Geometric reasoning

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

Interactive

The geometer's warehouse

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.

Interactive

Numeracy wrap: Tell me why

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

Online

Geometric reasoning including parallel lines and angle sum of a triangle

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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7Sp02A Properties of geometric figures - Ochre Education

This five lesson unit of work focuses on the properties of geometric figures. Students extend their knowledge of polygons to further classify triangles, quadrilaterals, and polygons and their knowledge of angle properties of these shapes. The unit includes a slide show for structuring presentation of the unit, student tasks ...

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The Geometry and Algebra of Honeycomb - Calculate

This integrated unit of work explores the amazing structures of honeycomb by examining the properties of regular and irregular polygons and polyhedra. Students then move on to solve problems using geometric and algebraic reasoning.

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Work sample Year 7 Mathematics: Geometric reasoning

This work sample demonstrates evidence of student learning in relation to aspects of the achievement standards for Year 7 Mathematics. The primary purpose for the work sample is to demonstrate the standard, so the focus is on what is evident in the sample not how it was created. The sample is an authentic representation ...

Online

Angles and parallel lines: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Angles and parallel lines. Students identify corresponding, alternate and co-interior angles on parallel lines crossed by a transversal (a line that intersects two or more parallel lines).

Video

Modelling climate changes

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 ...

Video

Types of triangles

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.

Interactive

Numeracy wrap: Parallelogram peculiarities

Interactive activities that guide students to investigate properties of parallelograms.

Online

reSolve: Mechanical Linkages: Angles and Lines

This sequence of lessons explores the geometry of angles using real world contexts including the dynamics of folding and joints. Students investigate side lengths and angles, supported by using physical models and computer simulation. There are opportunities to develop geometric language and to highlight how mathematical ...

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Making triangles

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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7M03A Area - Ochre Education

This five lesson unit of work focuses on the area of shapes. Students establish and use the formulas for the area of rectangles, parallelograms, and triangles, including applications to find areas of L-shapes and other compound shapes and surface areas of rectangular and triangular prisms and cubes. The unit includes a ...

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7M02A Angle relationships - Ochre Education

This seven lesson unit of work focuses on angle relationships. Students explore geometric notation and conventions, identify types of angles and use related angle facts to solve problems, identify interior and exterior corresponding and alternate angles formed when lines are crossed by a transversal, use these principles ...

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Angles and Parallel Lines

In this lesson, students engage in activities to explore angles between parallel lines in a navigational context. They measure angles using traditional hand and finger techniques, construct parallel and perpendicular lines and establish laws of angle properties using algebraic formulas.

Online

Shapes and objects: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Shapes and objects. Students build on their knowledge of two-dimensional shapes. They classify triangles according to their side length (scalene, isosceles, equilateral) and their angle properties (right, acute, obtuse). Students identify and describe different quadrilaterals ...

Video

Volume and mathematical modelling video

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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Using algebra tiles to solve equations

In this lesson, students use algebra tiles to solve one-variable linear equations involving multiplication and division, applying these skills in real-world contexts to enhance their understanding.

Downloadable

Measurement: Foundation to Year 9

This comprehensive resource describes the progression of measurement ideas. The resource demonstrates examples of relevant teaching strategies, investigations, activity plans and connected concepts in measurement including teaching and cultural implications.

Online

Area and perimeter: Year 7 – planning tool

This planning resource for Year 7 is for the topic of Area and perimeter. Students should be familiar with the concept of area and how to find the area of a rectangle. They will extend this knowledge to find the formulas for the areas of other shapes, such as a parallelogram and triangles.