Algebraic Area Problems and L-Shape Area Calculation
Solve algebraic area problems and learn how to calculate the area of an L-shape. Discover methods to find the perimeter and identify mistakes in expressions. Dive into interactive activities to enhance understanding.
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Presentation Transcript
Algebraic Area Problems The area of this shape is 74 cm2. What is its perimeter? How can you find the area of an L-shape? 2 ? + 5 ? + 2 ? + 3
Algebraic Area Problems The area of this shape is 74 cm2. What is its perimeter? Ellie attempted to find an expression for the area by splitting the area in this way. 2 ? + 5 ? + 2 ? + 3
Ellies Expression Ellie has made a mistake in her working out. 2 ? + 5 B In your pairs, go through her working line by line to find her error. ? + 2 A ? + 3 Can you correct it?
Algebraic Area Problems The area of this shape is 74 cm2. What is its perimeter? In your pairs, find an expression for the area of the L-shape by splitting this way. B 2 ? + 5 Finished? Do you get the same expression if you split the shape in a different way? ? + 2 A ? + 3 And another way?
Algebraic Area Problems The area of this shape is 74 cm2. What is its perimeter? The area should be ?2+ 8? + 9 B Any mistakes? 2 ? + 5 ? + 2 A ? + 3
Algebraic Area Problems The area of this shape is 74 cm2. What is its perimeter? On your whiteboards: Using the information in the question, turn your expression into an equation. 2 ? + 5 ? + 2 ? + 3
?2+ 8? + 9 = 74 How can you solve this? Try in your pairs and on your tables. ?2+ 8? 65 = 0 ? + 13 ? 5 = 0 ? = 13,? = 5 -65 8 Now let s go back to the original problem
Algebraic Area Problems The area of this shape is 74 cm2. What is its perimeter? ? = 13,? = 5 What is the perimeter of the shape? 2 ? + 5 ? + 2 ? + 3
Algebraic Area Problems In your pairs, split the shape in two different ways to solve the problem. Do you get the same answer? The area of this shape is 22 cm2. What is its perimeter? 4 ? +1 ? + 3 2? + 5
Algebraic Area Problems Now try this The surface area of this cuboid is 3600 cm2. What is its volume? ? + 15 ? ?
