Lesson Notes By Weeks and Term v4 - Basic 6

Lesson Video

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Performance objectives

• Identify and describe geometric shapes.
• Calculate perimeter and area of rectangles.
• Understand and calculate the volume of rectangular prisms.
• Use correct units for length, area, and volume.

Lesson summary

Let's re-examine the shape and the calculations. Shape dimensions: Bottom=12m, Left Side=9m, Top=7m, Right side (upper part)=a, Right side (lower part)=4m, Bottom side (left part)=b, Bottom side (right part)=7m. Wait, the diagram is confusingly labelled. Let me use a standard L-shape for clarity. Corrected Worked Example 3: Let's find the area of the shape where the outer dimensions are 12m wide and 9m tall. Top edge is 7m, rightmost edge is 4m. Missing horizontal side = 12m - 7m = 5m Missing vertical side = 9m - 4m = 5m

Lesson notes

Let's re-examine the shape and the calculations. Shape dimensions: Bottom=12m, Left Side=9m, Top=7m, Right side (upper part)=a, Right side (lower part)=4m, Bottom side (left part)=b, Bottom side (right part)=7m. Wait, the diagram is confusingly labelled. Let me use a standard L-shape for clarity.

Corrected Worked Example 3: Let's find the area of the shape where the outer dimensions are 12m wide and 9m tall. Top edge is 7m, rightmost edge is 4m. Missing horizontal side = 12m - 7m = 5m Missing vertical side = 9m - 4m = 5m

Method 1: Splitting Vertically Rectangle A (left): 9m (height) × 5m (width) = 45 m² Rectangle B (right): 4m (height) × 7m (width) = 28 m² Total Area = 45 m² + 28 m² = 73 m²

Method 2: Splitting Horizontally Rectangle C (top): 5m (height) × 7m (width) = 35 m² Rectangle D (bottom): 4m (height) × 12m (width) = 48 m² Total Area = 35 m² + 48 m² = 83 m²