JHS1 Mathematics · Term 2 Week 11: Shape and Space

Lesson notes

Learning Objectives

Indicator: B7.3.1.2.2 - Construct the perpendicular bisector of a line segment

By the end of the lesson, learners can:

State the meaning of a perpendicular bisector of a line segment.
Use a ruler and a pair of compasses to construct the perpendicular bisector of a given line segment of any length.
Locate the midpoint of a line segment accurately using construction, and verify the result by measuring with a ruler.
Check that every constructed perpendicular bisector meets the original segment at a right angle (90°) and divides it into two equal parts.
Apply the construction of a perpendicular bisector to solve simple problems involving finding the middle of a distance.

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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: B7.3.1.2.2 - Construct the perpendicular bisector of a line segment
Suggested placement: Term 2, Week 11 (Week 23 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. 52
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 construct a perpendicular bisector of a given line segment. (The line segment CD is a perpendicular bisector of AB)

Figure from the jhs1 mathematics curriculum, printed page 52

E.g. 2: Draw and bisect the following lines
(i) ⃗ AB = 8cm
(ii) AB ⃗ =5.5cm