Shape and Space · JHS1 Mathematics

Lesson notes

Learning Objectives

Indicator: B7.3.1.2.5 - Construct angles of 60˚ and 30˚

By the end of the lesson, learners can:

Use a pair of compasses and a ruler to construct an angle of 60˚ at a given point on a line segment
Verify a constructed 60˚ angle using a protractor and state whether their construction is accurate
Bisect a constructed 60˚ angle using a compass and ruler to obtain an angle of 30˚
Explain clearly that an angle of 30˚ is obtained by bisecting an angle of 60˚
Follow the correct sequence of steps and handle geometric instruments with care and precision

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Curriculum details

Strand: Geometry and Measurement (Strand 3)
Sub-strand: Shape and Space (3.1)
Content standard: B7.3.1.2 - Demonstrate how to construct a perpendicular to a line from a given point, bisect a line, bisect angles, and construct angles of the following sizes: 30˚, 45˚, 60˚, 75˚
Indicator: B7.3.1.2.5 - Construct angles of 60˚ and 30˚
Suggested placement: Term 2, Week 12 (Week 24 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.
Source document note: The official curriculum document has a fault in this entry, so the curriculum text above is transcribed exactly as printed:

indicator text - p.56: the code is printed '7.3.1.2.5:' with no grade token
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 56
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g.1: Use a pair of compasses and a ruler to:
a) Construct an angle of 60˚ at a point on a given line segment (∠AOD = 60˚) and verify with the protractor:

Wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions,... — A wide colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, coloured regions. Visible labels, values, and notation include: Draw a 60° angle.; draw ray; of angle; reference line; starting "dor; (for vertex); • point to locate; 60° mark.

E.g.2 Construct an angle of 30˚ by bisecting an angle whose measure is 60˚(i.e. bisect ∠AOB = 60˚ to obtain ∠AOC = ∠COB = 30˚: line ⃒OC is the angle bisector)