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Presentation transcript:

Welcome

Revision of skills

Perimeter The perimeter is the distance all the way around the edge of a shape. To calculate the perimeter, measure all the sides and add these measurements together. All the units must be the same. Find the perimeter of the 2 shapes below. 2.5m 180cm

Area The area of a shape is a measure of the surface covered by a given shape. Area is measured in square units e.g. square millimetres (mm²) square centimetres (cm²) square metres (m²) square kilometres (km²). Remember that all measurements should be in the same units when calculating the area. To calculate the area of a rectangle we use the formula: A = l x w

Find the Area of the 2 shapes below.

Volume Volume is a measurement of the space enclosed in a 3D shape and is measured in cubic units, e.g. mm³, cm³, m³. When calculating the volume of a shape, all the measurements must be in the same units. The formula for calculating the volume of a cuboid is: Volume = length x width x height.

Calculate the volume of the 2 shapes below

Scale Diagrams It is not possible to draw on paper the actual size of real life objects like airplanes, buildings or cars so we need scale drawings to represent these drawings. Scale diagrams use ratio to show this representation. If a diagram has a scale of 1:100, this means that for every 1 m, 1 cm or 1 mm, the actual size is 100 times bigger.

The scenario This task is about planning part of a kitchen. You work for a kitchen design company. A customer wants some new kitchen units along one wall. You have to make a scale drawing for the customer.

The customer’s kitchen wall is 3. 5m wide and 2. 75m high The customer’s kitchen wall is 3.5m wide and 2.75m high. You will draw a scale diagram where 4 centimetre squares represent 1 metre. Work out the scaled measurements for the plan. 3.5 x 4 = 14cm 2.75 x 4 = 11cm

Draw a scale diagram of the wall 1Metre 14cm:3.5m 11cm:2.75m

Customer’s instructions I want a space of at least 80cm at one end of the wall for my 2m tall freezer. I want units along the rest of the wall. The base units must have no spaces between them. Each wall unit must be exactly above a base unit. There must be a 50cm gap between the base and wall units.

Converting Measurements 75cm 50cm 58cm 1000mm = 1m = 100cm 500mm = ½m = 0.5m = 50cm 750mm = 0.75m = 75cm 580mm = 0.58m = 58cm 100cm 50cm 58cm

80 cm… 3 large 25cm squares plus 2 small 2.5cm How many Squares? 25cm = 10 little squares 1 little square = 25 ÷ 10 = 2.5cm 1Metre 25 cm 50 cm 0.5m 80 cm… 3 large 25cm squares plus 2 small 2.5cm 25 cm

Adding fridge base & walls units to scales 1Metre 3.5m 2.75m 75 cm Wall units 80 cm Fridge Base units 1m 50 cm

Calculate what one small square is… How long is: Calculate what one small square is…

Individual study/ assessment prep