Please note: This site contains links to websites not controlled by the Australian Government or ESA. Read more in the Terms of Use.
reSolve: Mechanical linkages – quadrilaterals
This unit is part of the reSolve ‘Mechanical Linkages and Deductive Geometry’. This unit focuses on investigating geometry, starting with real-life objects, then making working models and finally using pre-prepared dynamic geometry software. This unit uses the properties of quadrilaterals, especially rhombuses and parallelograms, to explain how these tools and objects move. The lessons are independent of each other and can be taught in any combination.
Additional details |
|
| Year level(s) | Year 8 |
|---|---|
| Audience | Teacher |
| Purpose | Content knowledge, Teaching resource, Student task |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Explicit teaching |
| Keywords | congruent, quadrilateral, side, angle, triangle, transformation, plane shape |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Numeracy |
| Strand and focus | Space |
| Topics | Angles and geometric reasoning |
| AC: Mathematics (V9.0) content descriptions |
AC9M8SP01
Identify the conditions for congruence and similarity of triangles and explain the conditions for other sets of common shapes to be congruent or similar, including those formed by transformations
AC9M8SP02
Establish properties of quadrilaterals using congruent triangles and angle properties, and solve related problems explaining reasoning |
| Numeracy progression |
Understanding geometric properties (P6, P7)
Proportional thinking (P6) |
Copyright details |
|
| Organisation | reSolve Maths by Inquiry |
| Copyright | © Australian Government Department of Education,Skills and Employment 2021. Creative Commons BY-NC-SA 4.0. |
Related resources
-
Pythagoras’ theorem (8 lessons)
In this sequence of 8 lessons, students explore Pythagoras’ theorem by finding side lengths, perimeters, and areas of right-angled triangles and composite shapes.
Resource details -
Geometric reasoning (7 lessons)
In this sequence of 7 lessons, students use angle and side conditions to identify similar shapes, apply scale factors, and solve problems involving transformations and enlargements.
Resource details -
Measurement using polygons and circles (10 lessons)
In this sequence of 10 lessons, students calculate perimeters and areas of polygons, circles, sectors and composite shapes using algebraic and numerical methods
Resource details -
Reflections and coordinates inquiry
This prompt explores the effect of reflection in a given line on a Cartesian plane.
Resource details -
Pyramid inquiry
Using rules to determine the area, perimeter and height of pyramids, while also becoming aware of the features of pyramids.
Resource details -
2-dimensional shapes inquiry
Investigate the relationship between the features of circles and 2D shapes. Using formulas to solve problems involving circumference and area.
Resource details -
Pythagorean theorem and irrational numbers
A series of lessons and activities that includes an introduction and exploration of the Pythagorean theorem and its applications. Part of the Illustrative Math curriculum from GeoGebra.
Resource details -
Pythagorean theorem and Bhaskara
A visual demonstration of Bhaskara’s proof for the Pythagorean theorem.
Resource details