MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Scales & Drawing Enlarge & Reduce Shapes Scale Drawing to find Length Making Basic Scale Drawings Scale Drawings using Protractor Scale Drawings with Bearings

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1.To be able to enlarge or reduce a shape by a given scale factor. 1. We are learning mathematically to enlarge or reduce various shapes. Scales & Drawing Enlargement & Reduction

Enlargement Enlarge this shape by a factor of 2. 1 cm 2 cm 2 cm 4 cm 1 → 2 → 2 4

Reduction Reduce this shape by a factor of a quarter. 8 cm 2 cm 6 cm 1.5 cm 8 → 6 → 2 1.5

27-Jan-16Created by Mr. Lafferty Maths Dept. Double the size of the shape. Half the size of the shape.

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 1 Ch9 (page 82) Scale Drawings

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Scales Scales Learning IntentionSuccess Criteria 1.To understand the term scale. 1. We are learning about scales on drawings. 2. Calculate the real-life distance given a scale factor.

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. In order to make sense of a map or scale diagram the scale must be known. Scales Scales For this scale model 1 cm represents 1.5 m This means for 1 cm on the drawing represents in real-life 1.5 m

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Scales Scales DrawingReal-Life 1 → → Are we expecting more or less 27-Jan-16 Make bigger fraction Working with scales is simply using proportion.

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. The scale of this drawing is 1cm = 5m What is the actual length of the tree ? Scales Scales

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Scales Scales DrawingReal-Life 1 → 5 7 → Are we expecting more or less 27-Jan-16 Make bigger fraction Working with scales is simply using proportion.

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. The scale of this drawing is 1cm = 54m What is the actual height of the Eiffel Tower in metres ? Scales Scales

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Scales Scales DrawingReal-Life 1 → 54 6 → Are we expecting more or less 27-Jan-16 Make bigger fraction Working with scales is simply using proportion.

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Problem The scaled drawing has a scale of 1cm = 2.5m XT measures 4cm of the drawing and represents a steel wire support for the flag pole. What is the real-life length of the wire. X T Scales

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Scales Scales DrawingReal-Life 1 → → Are we expecting more or less 27-Jan-16 Make bigger fraction Working with scales is simply using proportion.

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 2 Ch9 (page 84) Scale Drawings

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1. We are learning to draw a basic scale drawing given suitable information. 1. Using the scale to draw accurately a basic scale drawing. Scaled Drawings Scaled Drawings

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Problem A garden is rectangular in shape and has length 12m and breadth 8m. Make rough sketch of the garden. 12m 8m Scaled Drawings Scaled Drawings Draw an accurate scaled drawing of the garden Use a scale of 1cm represents 2m

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. 12m 8m Scaled Drawings Scaled Drawings Use a scale of 1cm represents 2m 12m 8m

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Problem A road junction is triangular in shape. A rough sketch is given below. 20m Scaled Drawings Scaled Drawings Draw an accurate scaled drawing of the junction Use a scale of 1cm represents 2m 12m

MTH 3-17b Scaled Drawings Scaled Drawings 27-Jan-16Created by Mr. Lafferty Maths Dept. Use a scale of 1cm represents 2m 20m 12m 20m 12m Find the real life length of the 3 rd side 2 x 11.6 = 23.2m

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 3 Ch9 (page 86) Scale Drawings

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Learning Intention Success Criteria 1. We are learning to solve real-life problems using scale drawings. 1. Interpret information in a problem to create a suitable scale drawing. 2. Apply a scale drawing methods to solve a given problem. Scales & Drawing

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Problem The sketch shows a flag-pole YT supported by a wire. The distance from X to Y is 6m and angle TXY = 55 o. 55 o X T Y 6m Make a scale drawing and work Out the real height of the pole. Use a scale of 1cm = 2m Scales & Drawing

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Scale Drawings 55 o X T Y 6m Solution Step 1:Draw line XY=3cm X Y Using a scale of 1cm = 2m Step 2:Draw a line straight up from Y. Step 3:Measure angle 55 o from X. Step 4:Draw line from X to vertical line and mark T at crossover point. T Step 5:Measure length YT. Step 6:Multiply length YT. by scale factor. 4.3cm

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. DrawingReal-Life 1 → → Are we expecting more or less 27-Jan-16 Make bigger fraction Scales & Drawing

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 4 Ch9 (page 89) Scale Drawings

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. St. Andrew’s Secondary Learning Intention Success Criteria 1.We are learning how to calculate a bearing and apply it to problems. 1. Remember the steps on how to work out a bearing. 2. Apply knowledge to problems. Scales & Drawing Bearings

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. 1. Measured from North. 2. In a clockwise direction. 3. Written as 3 figures. N S EW N S EW N S EW 060 o 145 o 230 o 315 o 60 o 145 o 230 o 315 o Bearings N S EW 090 o 360/000 o 270 o 180 o

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Bearings N S E W 090 o 360/000 o 270 o 180 o 020 o 080 o 110 o SE 135 o 160 o 210 o SW 225 o 250 o 290 o NW 315 o 350 o NE 045 o

MTH 3-17b N 27-Jan-16Created by Mr. Lafferty Maths Dept. Draw a bearing of 050 o. Drawing Bearings 050 o

MTH 3-17b N 27-Jan-16Created by Mr. Lafferty Maths Dept. Draw a bearing of 285 o. Drawing Bearings 285 o

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. At the beginning of an orienteering competition two runners set off in different directions. Runner 1 runs NE for 350m. Runner 2 runs on a bearing of 150 o for 200m. By making an accurate scale drawing, how far apart are the two runners. Scaled Drawings using Bearings 150 o 200m N 045 o 350m R 1 R 2

MTH 3-17b N 27-Jan-16Created by Mr. Lafferty Maths Dept. Make an accurate drawing of the plane journey 1cm represents 50m Scaled Drawings using Bearings 045 o S 9cm 7cm R 1 R 2 4cm 150 o

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. DrawingReal-Life 1 → 50 9 → Are we expecting more or less 27-Jan-16 Make bigger fraction Scales & Drawing

MTH 3-17b 27-Jan-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 5 Ch9 (page 91) Scale Drawings Have you updated your Learning book ?