Lines and Shapes · B5 Mathematics

Lesson notes

Learning Objectives

Indicator: B5.3.1.1.2 - Use paper folding with cut-out squares and rectangles to investigate sides, angles, and diagonals properties

By the end of the lesson, learners can:

Fold cut-out squares and rectangles to verify that opposite sides are congruent and parallel.
Use folding to demonstrate that all angles in squares and rectangles are right angles (90 degrees).
Investigate diagonals of squares and rectangles by folding, and state whether diagonals bisect each other, are congruent, and meet at right angles.
Complete a comparison table showing which properties hold for squares and which hold for rectangles.
Justify their conclusions about sides, angles, and diagonals using evidence from their own paper-folding investigations.

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Curriculum details

Strand: Geometry and Measurement (Strand 3)
Sub-strand: Lines and Shapes (3.1)
Content standard: B5.3.1.1 - Identify and sort quadrilaterals, including rectangles, squares, trapezoids, parallelograms, and rhombuses, according to their attributes
Indicator: B5.3.1.1.2 - Use paper folding with cut-out squares and rectangles to investigate sides, angles, and diagonals properties
Suggested placement: Term 3, Week 2 (Week 26 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 Curriculum for Primary Schools (Basic 4-6), 2019, p. 95
Transcribed from the official NaCCA publication. Check this page against the source.

Exemplars (from the NaCCA curriculum)

E.g. 1 Give learners foldable cut-out 2D squares and rectangles to investigate the properties in terms of sides, angles, and diagonals and complete the table Properties Rectangle Square Sides All sides are congruent No Yes Opposite sides are congruent Opposite sides are parallel Angle Opposite angles are congruent All angles are right angles Diagonals Diagonals bisect each other Diagonals are congruent Diagonals meet at right angles