Lesson Notes By Weeks and Term v5 - Grade 8
Measurement: area, surface area and volume (Grade 8) – Week 5 focus
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Measurement: area, surface area and volume (Grade 8) – Week 5 focus
Download the Lessonotes Mobile South Africa app for faster lesson access on Android and iPhone.
Subject: Mathematics
Class: Grade 8
Term: 3rd Term
Week: 5
Theme: General lesson support
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This week, we delve into the fascinating world of measurement, specifically focusing on area, surface area, and volume. These concepts are crucial for understanding the space around us and are used every day, from calculating the amount of paint needed for a wall to determining how much water a dam can hold. In South Africa, understanding these measurements is vital for various sectors like construction, agriculture, and manufacturing. Imagine planning a vegetable garden in your backyard; you'd need to calculate the area to know how many seedlings to buy.
2.1 Area Area is the amount of two-dimensional space a shape occupies. It is measured in square units.
Square: A square has four equal sides and four right angles.
Its area is calculated as: Area = side × side = s² Rectangle: A rectangle has two pairs of equal sides and four right angles.
Its area is calculated as: Area = length × width = l × w Triangle: A triangle is a three-sided shape.
Its area is calculated as: Area = ½ × base × height = ½ × b × h (where height is the perpendicular height to the base)
Circle: A circle is a round shape with all points equally distant from the centre.
Its area is calculated as: Area = π × radius² = πr² (where π (pi) ≈ 3.142 or 22/7) The radius (r) is the distance from the centre of the circle to any point on the circumference. The diameter (d) is the distance across the circle through the centre. d = 2r