Angles in Parallel Lines
Students are required to know the terminology associated with parallel lines and the angles contained within them. Students are expected to be able to know and use angle relations in parallel lines to deduce unknown angles. This resource package contains a variety of activities in a range of contexts designed for students to discover the facts and practise the necessary skills.
Visit the secondary mathematics webpage to access all list.
Focus Year 10/11 Shape and Space Lead-in
This text covers a variety of activities. The section appropriate to this topic is It All Fits (page 38) which begins with a nice idea in which students tear paper in order to explore which angles are equal in size when two parallel lines meet a transversal.
Shape, Space and Measures 3
Parallel lines (page 8) begins by requiring students to explain the properties of parallel lines and covers vertically opposite angles, alternate angles and angles in a polygon. There are a number of activities and a variety of questions for students to answer.
Year Nine Geometrical Reasoning Mini-pack
This resource has an emphasis on reasoning rather than content requiring students to explore mathematical proofs of the angle facts before moving on to apply these facts to solve problems.
The resource uses a number of powerful visualisations containing language designed to establish familiar definitions and properties into a logical hierarchy.
Angles, Bearings and Maps
Angles, Bearings and Maps contains examples and questions which can be used to help students identify equivalent angles by colouring in same sized angles the same colour. The examples are useful to show that answers need to be given with reasons.
The activities file contains the activity Independent Angles, a good activity requiring students to identify which angles are equal in size. Flight paths is a more challenging exercise which could be used as extension work.
Overhead Slides: 11.3 This sheet could be used for student notes or as part of a revision booklet.
Angles and Triangles
This resource consists of two interactive excel programs.
Angle Facts presents students with questions relating to angles on a straight line, angles at a point, and angles in triangles and rectangles. The sheet on angles and parallel lines does not use the words "corresponding" or "alternate" but the F or Z shape can be shown on the diagram. There are three interactive sheets on angles in scalene, isosceles and equilateral triangles. There are a further thirteen sheets of questions suitable for duplication for classroom use.
Triangles: What Type, Angles, Area The first two sheets show a triangle on a coordinate grid. Students can calculate the length of sides, the angles and the area of each triangle. Alternatively, students can click to reveal the lengths and angles and state the type of triangle. The third sheet shows a triangle, the size of angles can be revealed and students say whether the triangle is scalene, equilateral or isosceles. There are a further eight sheets of questions on similar topics suitable for duplication for classroom use.
ST(P) Mathematics
This text covers a variety of topics. The activities approriate to this section are in Chapter 15 Parralel lines and angles which begins on page 209 (p.218 of the pdf) with a step-by-step introduction to angles in parallel lines. The chapter contains explanations and exercises with questions in diagrammatic and worded forms. The topics covered are: corresponding angles, alternate angles and interior angles.
