Milly Judd

9th August 13

Learner

Functional Skills Maths – Area of Shapes

Date

Learning to be covered:

FeedbackHi Milly,As discussed and explained in your work plan for EYMP3, this is the maths tasks that have been set for you to run alongside this unit work.As we discussed in our session we are looking at area as this was a big part of the test and an area that you struggle with, work through the learning area at the beginning this breaks down each part and gives you examples on how to achieve this, have a play and then start the activities underneath using your new knowledge and hopefully this will make this clearer for you As we discussed break this down and work out the area first and then the position.Have a read through and I am around until next Thursday so you can fire any additional questions to me before I go away. The extended sites are fantastic resources which I would also highly recommend having a look at...Good luckSam | UNITS | Our Learning Aims: To understand the meaning of the term ‘area’ and be able to calculate the area of different shapes using the correct formula.Introduction In this session I will be supporting you to learn and revise areas. We will look at what the term area means and the formulas used to calculate the areas of different shapes.Area is the mathematical term for the size of a 2D shape. For example, when you order a new carpet or flooring, you need to calculate the area of the floor so you know how much carpet you need to buy. These formulas can only be used for 2D shapes. You will need to know the correct formula for calculating the area of different shapes.Please use my guidance in this session to build your confidence with the areas of different shapes. | AreasWhen calculating an area, remember the units will always be written as: units2. For example, if you calculate the area is 10cm, this must be written as: 10cm2. It is important you always include the units in your answer. The ‘2’ means the units have been squared. This is the same as multiplying the units by same number of units.Units2 = units x unitsSquaresThe formula to calculate the area of a square is:Area = a2The letter ‘a’ refers to one side of the square. The sides of a square are always the same length, so if side a measures 5cm, this means all the sides measure 5cm. a = 5cmArea = 5cm x 5cm5 x 5 = 25Area = 25cm2TrianglesThe formula to calculate the area of a triangle is:Area = ½ x b x hThe letter ‘b’ refers to the base of the triangle and the letter ‘h’ refers to the height. ½ means once you have multiplied b x h you then need to multiply this figure by ½.h = 12cm b = 10cm

Area = ½ x 10cm x 12cm10cm x 12cm = 120cm½ x 120cm = 60cmMultiplying a figure by ½ is also the same as dividing a figure by 2. In this case 120 ÷ 2 = 60Area = 60cm2The height or ‘h’ of the triangle must always be perpendicular. This means the height and base must be at a right angle.All triangles have a right angle, but you may need to find it in order to calculate the area. However, the formula for calculating the area is always the same.For example:The black outline is the original triangle. The purple squares show the right angles and the red line shows the perpendicular line. To calculate the area you would need to use the measurement of the red line.RectanglesThe formula to calculate the area of a rectangle is:Area = w x hThe letter ‘w’ refers to the width and the letter ‘h’ refers to the height.h = 5cm w = 15cm

Area = 15cm x 5cm15cm x 5cm = 75cmArea = 75cm2CirclesThe formula to calculate the area of a circle is:Area = π x r2The π symbol refers to Pi. Pi is an endless sequence of numbers. All you need to remember is that π = 3.14 The letter ‘r’ refers to the radius of the circle. The radius is the measurement of the distance from the centre of the circle to the edge of the circle. r – 4cm

The line from the centre of the circle to the edge represents the radius of the