Angles and parallel lines
In this lesson, students will engage in various activities to explore angles between parallel lines in a navigational context. They will measure angles using traditional hand and finger techniques, construct parallel and perpendicular lines and establish laws of angle properties using algebraic formulas.
This lesson is based on activities from the Stellar navigation and mathematics resource from Ngarrngga. The project aims to empower all teachers to integrate Aboriginal and Torres Strait Islander histories and cultures in their teaching. Find more resources at https://www.ngarrngga.org/.
Additional details |
|
| Year level(s) | Year 7 |
|---|---|
| Audience | Teacher |
| Purpose | Teaching resource |
| Format | Web page |
| Teaching strategies and pedagogical approaches | Mathematics investigation, Concrete Representational Abstract model, Explicit teaching, Culturally responsive pedagogies, Setting goals |
| Keywords | geometrical reasoning, angles, navigation, Maths Hub lesson plan |
Curriculum alignment |
|
| Curriculum connections | Critical and creative thinking, Aboriginal and Torres Strait Islander Histories and Culture |
| Strand and focus | Measurement |
| Topics | Algebraic expressions, 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 |
Copyright details |
|
| Organisation | Commonwealth of Australia |
| Copyright | © 2024 Commonwealth of Australia. Creative Commons BY 4.0. |
Related resources
-
Sum of interior angles in a polygon
A series of student-based discovery activities that explore the sum of the interior angles of a polygon by deconstructing the polygons into triangles.
Resource details -
Classifying triangles
An explanation of how to classify triangles by looking at their angles and lengths of sides. The resource includes explanations, videos, worked examples and questions.
Resource details -
Supplementary angles
In this activity students are shown what constitutes a supplementary angle and answer a series of questions to demonstrate their understanding.
Resource details -
Alternate interior angles assessment activity
In this activity students identify and find the size of alternate angles.
Resource details -
Parallel lines and angles in a triangle
In this activity students find the missing angle in a triangle and identify angles on parallel lines.
Resource details -
Alternate interior angles: Preparation
This is the first of a series of lessons that explore angles and parallel lines using dynamic geometry.
Resource details -
Parallel lines and the angle sum of a triangle
This resource focuses on drawing representations of solid objects, and gives detailed explanations of the curriculum content with worked examples and assessment questions.
Resource details -
Factors and prime factors inquiry
The process of making connections between factors and prime factors.
Resource details