JHS1 Mathematics · Term 2 Week 10: Shape and Space

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.

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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

Figure from the jhs1 mathematics curriculum, printed page 49

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

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

Figure from the jhs1 mathematics curriculum, printed page 50

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.