JHS3 Mathematics · Term 2, Week 12

Shapes and Space

Lesson notes

Learning Objectives

Indicator: B9.3.1.2.2 - Construct parallelograms (i.e. square, rectangle, rhombus) under given conditions.

By the end of the lesson, learners can:

Construct a square given the length of its side, using a ruler and a pair of compasses only.
Construct a square given the length of its diagonal, using a ruler and a pair of compasses only.
Construct a rectangle given the length of its side and its diagonal, using a ruler and a pair of compasses only.
Construct a parallelogram given the lengths of two adjacent sides and the included angle, using a ruler, a pair of compasses and a protractor.
Determine whether a given construction satisfies the conditions for a square, rectangle or rhombus by measuring its sides and angles.

Curriculum details

Strand: Geometry and Measurement (Strand 3)
Sub-strand: Shapes and Space (3.1)
Content standard: B9.3.1.2 - Construct inscribed and circumscribed triangles and parallelograms with given dimensions.
Indicator: B9.3.1.2.2 - Construct parallelograms (i.e. square, rectangle, rhombus) under given conditions.
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.
Curriculum reference: Mathematics, Common Core Programme (JHS1-JHS3), 2023, p. 201
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

Nearly square colour mathematical teaching visual is organised as a labelled teaching diagram with coloured regions.... — A nearly square colour mathematical teaching visual is organised as a labelled teaching diagram with coloured regions. The nearly square colour labelled teaching diagram is arranged with coloured regions.

E.g.1: Perform geometric construction of a square with a given side.

Nearly square colour mathematical teaching visual is organised as a table with horizontal divisions, vertical... — A nearly square colour mathematical teaching visual is organised as a table with horizontal divisions, vertical divisions, coloured regions. Visible labels, values, and notation include: SL; IR; 5 cm.

E.g.2: Construct a square ABCD with ⃗ AB =6.5cm. Measure and record the diagonal of the square.
E.g.3: Perform geometric construction of a square with a given diagonal.

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: Construct the square ABCD with AC= 10cm. What; is the length of the sides?; A.

E.g.4: Perform geometric construction of a rectangle with given side.

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: Construct rectangle ABCD suchthat A3-6cm and BC-4.2cm1; 1.2cm; 6cm.

E.g.5: Perform geometric construction of a rectangle with a given side and diagonal.

E.g.6: Perform geometric construction of a parallelogram with given sides and given angle(s).

Wide black-and-white mathematical teaching visual is organised as a labelled teaching diagram with horizontal... — A wide black-and-white mathematical teaching visual is organised as a labelled teaching diagram with horizontal divisions, open white space around the main marks. Visible labels, values, and notation include: L; 7cm; DX; 5 cm; 45°; A; B; K; XC.

E.g.7: Perform geometric construction of regular compound plane shapes with given sides and angles.

Nearly square black-and-white mathematical teaching visual is organised as a worked calculation with horizontal... — A nearly square black-and-white mathematical teaching visual is organised as a worked calculation with horizontal divisions, open white space around the main marks. Visible labels, values, and notation include: ABCD is a parallelogram such that <DAB=60°; <CBA = 120°, AB=6cm. AEF is an isosceles; triangle, such that AE=FE= 15cm, B is the midpoint; of AF=12cm.; 15cm; 4cm; (60; 6cm; 120; B.

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