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

Technology Education IRP Appendix F: Illustrative Examples
Mathematics 8

SHAPE AND SPACE (Measurement)

In order to prepare students to apply indirect measurement procedures to solve problems generalize measurement patterns and procedures, and solve problems involving area and perimeter, it is expected that students will:

Prescribed Learning Outcomes Illustrative Examples

use the Pythagorean relationship to calculate the measure of the third side of a right triangle, given the other two sides in 2-D applications

*Tara is investigating the relationship among the three sides of a right triangle. She drew a right triangle in the middle of a sheet of paper and then constructed a square on each side of the triangle. Then she tried to cut the two smaller squares and fit them on the largest square. Try Tara's investigation, using right triangles with different shapes. Write a brief paragraph stating your findings.

Jamie wants to walk from one corner of the rectangular playground to the opposite corner. The playground is 30 m by 50 m. What is the length of the shortest route he can take? Explain.

A 5.0 m ladder leans against a wall and is planted on the ground 4.2 m out from the base of the wall. How far up the wall does the ladder reach?

describe patterns and generalize the relationships by determining the areas and perimeters of quadrilaterals and the areas and circumferences of circles

The dimensions of five decorative gardens are given below. Which garden has the greatest area?

square with sides 10.2 m

rectangle with length 15 m and width 6.9 m

parallelogram with base 14.6 m and height 7.2 m

trapezoid with bases 18.1 m and 10.4 m and height 7.1 m

a circle with radius of 3.7 m

Create a lake and island board by using the following directions:

a rectangular island A with an area of about 100 cm²

a triangular island B with an area of about 18 cm²

an irregular-shaped island C with an area of about 50 cm²

a circular-shaped island D with an area of about 25 cm²

*You want to paint one wall of your room. The wall is 7.0 m long and 2.4 m high. It takes one small can of paint to cover 9 m², and the paint sells for $3.99 a can.

What would it cost you if you purchased only paint?

What else do you need to think of?

Make a plan for your trip to the store for supplies for this painting job.

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Revised: September 1, 2001

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use the Pythagorean relationship to calculate the measure of the third side of a right triangle, given the other two sides in 2-D applications		*Tara is investigating the relationship among the three sides of a right triangle. She drew a right triangle in the middle of a sheet of paper and then constructed a square on each side of the triangle. Then she tried to cut the two smaller squares and fit them on the largest square. Try Tara's investigation, using right triangles with different shapes. Write a brief paragraph stating your findings.
		Jamie wants to walk from one corner of the rectangular playground to the opposite corner. The playground is 30 m by 50 m. What is the length of the shortest route he can take? Explain.
		A 5.0 m ladder leans against a wall and is planted on the ground 4.2 m out from the base of the wall. How far up the wall does the ladder reach?
describe patterns and generalize the relationships by determining the areas and perimeters of quadrilaterals and the areas and circumferences of circles		The dimensions of five decorative gardens are given below. Which garden has the greatest area? square with sides 10.2 m rectangle with length 15 m and width 6.9 m parallelogram with base 14.6 m and height 7.2 m trapezoid with bases 18.1 m and 10.4 m and height 7.1 m a circle with radius of 3.7 m
		Create a lake and island board by using the following directions: a rectangular island A with an area of about 100 cm² a triangular island B with an area of about 18 cm² an irregular-shaped island C with an area of about 50 cm² a circular-shaped island D with an area of about 25 cm²
		*You want to paint one wall of your room. The wall is 7.0 m long and 2.4 m high. It takes one small can of paint to cover 9 m², and the paint sells for $3.99 a can. What would it cost you if you purchased only paint? What else do you need to think of? Make a plan for your trip to the store for supplies for this painting job.