Areas of Flags 3.

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Presentation transcript:

Areas of Flags 3

Starter 10cm To the left is the flag of Jamaica. The area of yellow is 60cm2. Given that the areas of green and black are equal, calculate the heights of the triangles indicated on the diagram… 10cm 8cm 14cm

Areas of Flags 3 Learning Objectives All will be able to understand and use the formula for the area of a Trapezium (Level 6) Most will be able to use this formula alongside those for other shapes in answering questions based on flags (Level 6/7) Some will be able to include ratio and more advanced problem-solving skills in today’s questions (Level 7)

Area of the Parallelogram Areas of Flags 3 5cm 8cm 5cm 8cm 8cm 6cm 8cm 5cm 5cm Copy the original Trapezium Flip it Upside down Place it alongside the original one It is now just a parallelogram! Area of the Parallelogram B x H 13 x 6 78cm2 Area of the Trapezium 78 ÷ 2 = 39cm2

Areas of Flags 3 General Formula (a + b) x h 2 a a h h b b a and b are the parallel sides (a + b) x h 2 h is the perpendicular height

Areas of Flags 3 8cm Calculate the areas of each colour on the flag of Equatorial Guinea based on the information given. You may ignore the emblem in the centre It IS possible to find all the required lengths but it will require careful thought! 6cm 3cm

Plenary

Summary Area of a Rectangle Area of a Triangle Area of a Parallelogram We have seen how to calculate the Area of a Trapezium We have included this in our recent work on areas of flags Notice that all the shapes we have looked at so far are all effectively based on the area of a Rectangle Area of a Rectangle Area of a Triangle Area of a Parallelogram Area of a Trapezium