BC Education - Mathematics 8 Appendix F Number(Patterns and Relations)

Technology Education IRP Appendix F: Illustrative Examples
Mathematics 8

SHAPE AND SPACE (3-D Objects and 2-D Shapes)

In order to prepare students to link angle measures and the properties of parallel lines to the classification and properties of quadrilaterals, it is expected that students will:

Prescribed Learning Outcomes Illustrative Examples

identify, investigate, and classify quadrilaterals, regular polygons, and circles according to their properties

Investigate and describe the properties of intersections of diagonals of any quadrilaterals.

Where possible, use computer software.

Identify, compare, and debate the merits of shape in present and past architectural construction methods and decoration features (e.g., golden rectangle).

Given a variety of cutout polygons and circles, find several ways to sort the figures and identify the characteristics of the subsets for each different way (the polygons should be regular and irregular with different numbers of sides and the quadrilaterals should include irregular shapes, trapezoids, parallelograms, rectangles, rhombuses, squares, and kites).

Take all the quadrilaterals from the above set. Sort them in different ways (e.g., number of parallel sides, number of right angles, number of congruent sides, number of congruent angles). Use sets of nesting boxes to show how the different kinds of quadrilaterals are related.

Draw five different rectangles. Devise a numerical measure of squareness that would allow you to rank your rectangles from the one most like a square to the one least like a square. Justify your choice.

Find two different nets for a cylinder.

Use toothpicks and molding clay to build prisms and pyramids with various polygons for bases.

Suggested Extensions

build 3-D objects from a variety of representations (e.g., nets, skeletons)

Raymond cut this net for a cube from grid paper. How many different nets can you cut that make cubes?

Revised: September 1, 2001

BC Ministry of Education Home Page

identify, investigate, and classify quadrilaterals, regular polygons, and circles according to their properties		Investigate and describe the properties of intersections of diagonals of any quadrilaterals. Where possible, use computer software.
		Identify, compare, and debate the merits of shape in present and past architectural construction methods and decoration features (e.g., golden rectangle).
		Given a variety of cutout polygons and circles, find several ways to sort the figures and identify the characteristics of the subsets for each different way (the polygons should be regular and irregular with different numbers of sides and the quadrilaterals should include irregular shapes, trapezoids, parallelograms, rectangles, rhombuses, squares, and kites).
		Take all the quadrilaterals from the above set. Sort them in different ways (e.g., number of parallel sides, number of right angles, number of congruent sides, number of congruent angles). Use sets of nesting boxes to show how the different kinds of quadrilaterals are related.
		Draw five different rectangles. Devise a numerical measure of squareness that would allow you to rank your rectangles from the one most like a square to the one least like a square. Justify your choice.
		Find two different nets for a cylinder.
		Use toothpicks and molding clay to build prisms and pyramids with various polygons for bases.
Suggested Extensions
build 3-D objects from a variety of representations (e.g., nets, skeletons)		Raymond cut this net for a cube from grid paper. How many different nets can you cut that make cubes?