Please note: This site contains links to websites not controlled by the Australian Government or ESA. More information here.
Parallel lines and the angle sum of a triangle
From the AMSI ‘Supporting Australian Mathematics Project’, this resource gives detailed explanations for teachers and students of the curriculum content, worked examples and assessment questions.
Additional details |
|
| Year level(s) | Year 7 |
|---|---|
| Audience | Teacher |
| Purpose | Content knowledge, Teaching resource, Student task |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Explicit teaching |
| Keywords | angles, parallel, co-interior, alternate, triangle, interior |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Numeracy |
| Strand and focus | Space |
| Topics | Angles and geometric reasoning |
| AC: Mathematics (V9.0) content descriptions |
AC9M7M04
Identify corresponding, alternate and co-interior relationships between angles formed when parallel lines are crossed by a transversal; use them to solve problems and explain reasons
AC9M7M05
Demonstrate that the interior angle sum of a triangle in the plane is 180° and apply this to determine the interior angle sum of other shapes and the size of unknown angles |
| Numeracy progression |
Understanding geometric properties (P6)
|
Copyright details |
|
| Organisation | AMSI |
| Copyright | © The University of Melbourne. Creative Commons BY-NC-ND 3.0. |
Related resources
-
Combined transformations inquiry
Investigating combinations of translations, reflections and rotations and describing on the Cartesian plane using coordinates. Identify line and rotational symmetries.
Resource details -
Drawing triangles
Students are given certain measurements and see how many different triangles they can draw.
Resource details -
Triangles with three common measures
Students complete a series of problems to compare different triangles by looking at sides and angles.
Resource details -
Alternate interior angles
Students complete a series of problems to explore why some angles are always equal.
Resource details -
True meaning of π (pi)
This activity gives a visual representation of the relationship between the circumference and diameter of a circle.
Resource details -
Using the properties of a circle to solve problems
This resource describes how the formulas for the surface area and volume of a cylinder are derived, shows a worked example and sets problems for students to work through.
Resource details -
Circles
This resource, focusing on the features of a circle and finding the area of a circle, gives detailed explanations of the curriculum content, worked examples and assessment questions.
Resource details -
Protractor quiz
Students are given an angle to measure using an interactive protractor. This quiz can help students distinguish the difference between the upper and lower scale.
Resource details