GCSE Mathematics Targeting Grade C SSM 3.

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Presentation transcript:

GCSE Mathematics Targeting Grade C SSM 3

Can you: If not you need Calculate the area of a rectangle Calculate the area of a triangle Calculate the area of a composite shape Calculate the area of a trapezium Calculate the area of a cross-section of a prism Calculate surface area of a prism Try a test Practice 1: Remember the formula L x W Practice 2: Remember the formula ½ x b x h TAIL 1 Practice 3: Remember the formula ½ x (a + b) x h Practice 4: To calculate the area of a composite shape, divide the shapes into rectangles and/or triangles, find the area of each shape separately and add together Practice 5: Remember the cross-section is the face which stays the same wherever you cut the prism TAIL 2 If not you need

Practice 1: Find the area of the following rectangles 1. Remember the formula for area of a rectangle is length x width Practice 1: Find the area of the following rectangles 1. 2. A field is in the shape of a rectangle. It measures 94 metres by 221 metres. What is its area in square metres? 3. The driveway to a house has to be re-surfaced. The cost is £56 per square metre. What is the cost for a drive measuring 16 metres by 5 metres? Lesson

Practice 2: Find the area of the following triangles: Remember the formula for finding the area of a triangle is ½ x base x height Lesson

Practice 3: Find the area of the following trapezium: Remember the formula for finding the area of a trapezium is ½ x (a + b) x h Lesson

Practice 4: Find the area of the following composite shapes Divide the shapes into rectangles and/or triangles and find the areas of each shape separately then add the areas together Lesson

Are you ready for the answers? TAIL 1 Are you ready for the answers? 7.1 x 3.6 = 25.56 To 1 decimal place = 25.6 Area of rectangle is length x width Area = 2x × x = 2x² 2x² = 50 x² = 25 X = 5 Length is 2x so length = 2 × 5 = 10 Lesson

Practice 5: Find the area of the cross-section of the following shapes Remember a cross-section of a prism is the shape which stays the same if the shape is sliced through Lesson

Are you ready for the answers? TAIL 2 17 x 8 + 13 x 10 + 17 x 8 136 + 130 + 136 = 402cm² 3 x 9 + 3 x 4 27 + 12 = 39cm² 10 x 5 –(0.5 x (10 + 5) x 4) 50 – 30 = 20cm² 5.6 x 2.5 + 14 7.2 – 2.5 = 4.7 4.7 x 1.8 =8.46 14 + 8.46 = 22.46cm² Lesson