Shape and Space · JHS1 Mathematics

Lesson notes

Learning Objectives

Indicator: B7.3.1.1.3 - Use adjacent, supplementary and vertically opposite angles to solve problems

By the end of the lesson, learners can:

Identify adjacent, supplementary, and vertically opposite angles in given diagrams.
Use the property that adjacent angles on a straight line sum to 180° to find unknown angles.
Use the property that vertically opposite angles are equal to find unknown angles.
Apply a combination of adjacent, supplementary, and vertically opposite angle properties to solve multi-step problems.
Justify each step taken when solving for unknown angles, stating which property was used.

Sign in with your phone number to read the full note and download the GES plan - free.

Sign in with phone number

Curriculum details

Strand: Geometry and Measurement (Strand 3)
Sub-strand: Shape and Space (3.1)
Content standard: B7.3.1.1 - Demonstrate understanding of angles including adjacent, vertically opposite, complementary, supplementary and use them to solve problems.
Indicator: B7.3.1.1.3 - Use adjacent, supplementary and vertically opposite angles to solve problems
Suggested placement: Term 2, Week 10 (Week 22 of the year)
Our suggestion, laid out in curriculum order across three terms of twelve weeks. NaCCA does not fix the week, so follow your school's scheme of learning.
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 49
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1 Determine the angle(s) marked with letters in the adjacent and/or supplementary

Wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical... — A wide black-and-white mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, open white space around the main marks. Visible labels, values, and notation include: supplementary; 130°; 77°; 3X/2x.

angles below.
E.g.2 Identify each pair of angles as adjacent, vertically opposite, complementary or supplementary.

Six small line-angle diagrams labelled a through f compare adjacent and vertically opposite angles. The marked... — Six small line-angle diagrams labelled a through f compare adjacent and vertically opposite angles. The marked examples include angles 1 to 6, angles 11 and 12, a 55-degree and 35-degree pair, and a 40-degree and 140-degree pair.

E.g.3 Use the figure at the right to identify and label the following angles
i. two acute vertical angles.

Wide black-and-white mathematical teaching visual is organised as a labelled teaching diagram with vertical... — A wide black-and-white mathematical teaching visual is organised as a labelled teaching diagram with vertical divisions. Visible labels, values, and notation include: I. two acute vertical angles.; ii. two obtuse vertical angles.; iii. a pair of adjacent angles; iv. a pair of complementary; angles.; v. an angle supplementary to; LFGE; F; E.

ii. two obtuse vertical angles.
iii. a pair of adjacent angles
iv. a pair of complementary angles.
v. an angle supplementary to ∠ FGE
E.g. 4 Use adjacent, vertically opposite, complementary or supplementary to solve problems. Determine the angle(s) marked with letters.