Scales Drawing www mathsrevision com MTH 3 17

Scales & Drawing www. mathsrevision. com MTH 3 -17 b Enlarge & Reduce Shapes Scale Drawing to find Length Making Basic Scale Drawings using Protractor Scale Drawings with Bearings 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -17 b 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scales & Drawing Enlargement & Reduction www. mathsrevision. com MTH 3 -17 b Learning Intention Success Criteria 1. We are learning mathematically to enlarge or reduce various shapes. 10 -Mar-21 1. To be able to enlarge or reduce a shape by a given scale factor. Created by Mr. Lafferty Maths Dept.

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

Reduction 8 6 Reduce this shape by a factor of a quarter. → → 2 1. 5 8 cm 2 cm 6 cm 1. 5 cm

Double the size of the shape. Half the size of the shape. 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scale Drawings www. mathsrevision. com MTH 3 -17 b Now try TJ 3 b Ex 1 Ch 9 (page 82) 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -17 b 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scales MTH 3 -17 b www. mathsrevision. com Learning Intention 1. Success Criteria We are learning about scales on drawings. 1. To understand the term scale. 2. Calculate the real-life distance given a scale factor. 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scales MTH 3 -17 b www. mathsrevision. com In order to make sense of a map or scale diagram the scale must be known. 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 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scales MTH 3 -17 b www. mathsrevision. com Working with scales is simply using proportion. Are we Make bigger expecting fraction more or less Drawing 1 4 10 -Mar-21 → → Created by Mr. Lafferty Maths Dept. Real-Life 1. 5

Scales MTH 3 -17 b www. mathsrevision. com The scale of this drawing is 1 cm = 5 m What is the actual length of the tree ? 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scales MTH 3 -17 b www. mathsrevision. com Working with scales is simply using proportion. Are we Make bigger expecting fraction more or less Drawing 1 7 10 -Mar-21 → → Created by Mr. Lafferty Maths Dept. Real-Life 5

Scales MTH 3 -17 b www. mathsrevision. com The scale of this drawing is 1 cm = 54 m What is the actual height of the Eiffel Tower in metres ? 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scales MTH 3 -17 b www. mathsrevision. com Working with scales is simply using proportion. Are we Make bigger expecting fraction more or less Drawing 1 6 10 -Mar-21 → → Created by Mr. Lafferty Maths Dept. Real-Life 54

Scales www. mathsrevision. com MTH 3 -17 b Problem The scaled drawing has a scale of 1 cm = 2. 5 m XT measures 4 cm of the drawing and represents a steel wire support for the flag pole. What is the real-life length of the wire. T X 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scales MTH 3 -17 b www. mathsrevision. com Working with scales is simply using proportion. Are we Make bigger expecting fraction more or less Drawing 1 4 10 -Mar-21 → → Created by Mr. Lafferty Maths Dept. Real-Life 2. 5

Scale Drawings www. mathsrevision. com MTH 3 -17 b Now try TJ 3 b Ex 2 Ch 9 (page 84) 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -17 b 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scaled Drawings MTH 3 -17 b www. mathsrevision. com Learning Intention 1. 10 -Mar-21 Success Criteria We are learning to draw a basic scale drawing given suitable information. 1. Using the scale to draw accurately a basic scale drawing. Created by Mr. Lafferty Maths Dept.

Scaled Drawings MTH 3 -17 b www. mathsrevision. com Problem A garden is rectangular in shape and has length 12 m and breadth 8 m. Make rough sketch of the garden. Draw an accurate scaled drawing of the garden Use a scale of 1 cm represents 2 m 10 -Mar-21 Created by Mr. Lafferty Maths Dept. 12 m 8 m

Scaled Drawings MTH 3 -17 b www. mathsrevision. com Use a scale of 1 cm represents 2 m 12 m 8 m 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scaled Drawings MTH 3 -17 b www. mathsrevision. com Problem A road junction is triangular in shape. A rough sketch is given below. Draw an accurate scaled drawing of the junction Use a scale of 1 cm represents 2 m 10 -Mar-21 Created by Mr. Lafferty Maths Dept. 20 m 12 m

Scaled Drawings MTH 3 -17 b www. mathsrevision. com Use a scale of 1 cm represents 2 m Find the real life length of the 3 rd side 20 m 2 x 11. 6 = 23. 2 m 10 -Mar-21 Created by Mr. Lafferty Maths Dept. 12 m

Scale Drawings www. mathsrevision. com MTH 3 -17 b Now try TJ 3 b Ex 3 Ch 9 (page 86) 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -17 b 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scales & Drawing MTH 3 -17 b www. mathsrevision. com 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. 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scales & Drawing MTH 3 -17 b www. mathsrevision. com Problem The sketch shows a flag-pole YT supported by a wire. The distance from X to Y is 6 m and o angle TXY = 55. T Make a scale drawing and work Out the real height of the pole. Use a scale of 1 cm = 2 m 10 -Mar-21 Created by Mr. Lafferty Maths Dept. X 55 o 6 m Y

T Scale Drawings MTH 3 -17 b 55 o Y 6 m Solution Using a scale of 1 cm = 2 m Step 1: Draw line XY=3 cm www. mathsrevision. com X T Step 2: Draw a line straight up from Y. o Step 3: Measure angle 55 from X. Step 4: Draw line from X to vertical line and mark T at crossover point. Step 5: Measure length YT. Step 6: Multiply length YT. by scale factor. 10 -Mar-21 4. 3 cm X Created by Mr. Lafferty Maths Dept. Y

Scales & Drawing MTH 3 -17 b www. mathsrevision. com Are we Make bigger expecting fraction more or less Drawing 1 4. 3 10 -Mar-21 → → Created by Mr. Lafferty Maths Dept. Real-Life 2

Scale Drawings www. mathsrevision. com MTH 3 -17 b Now try TJ 3 b Ex 4 Ch 9 (page 89) 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Starter Questions www. mathsrevision. com MTH 3 -17 b 10 -Mar-21 Created by Mr. Lafferty Maths Dept.

Scales & Drawing Bearings St. Andrew’s Secondary MTH 3 -17 b Learning Intention Success Criteria 1. We are learning how to calculate a bearing and apply it to problems. 10 -Mar-21 1. Remember the steps on how to work out a bearing. 2. Apply knowledge to problems. Created by Mr. Lafferty Maths Dept.

Bearings 360/000 o N 1. Measured from North. 060 o MTH 3 -17 b 2. In a clockwise direction. 270 o 60 o W 090 o E 3. Written as 3 figures. S 180 o N 145 o W 10 -Mar-21 S N N E 145 o W 230 o S Maths Dept. Created by Mr. Lafferty 315 o E W 315 o S E

Bearings 360/000 o MTH 3 -17 b 350 o 315 o N 020 o NW 045 o NE 290 o 270 o 080 o W E 250 o 110 o SW 225 o SE 210 o S 160 o 180 o 10 -Mar-21 Created by Mr. Lafferty Maths Dept. 135 o 090 o

Drawing Bearings MTH 3 -17 b Draw a bearing of 050 o. www. mathsrevision. com N 10 -Mar-21 050 o Created by Mr. Lafferty Maths Dept.

Drawing Bearings MTH 3 -17 b Draw a bearing of 285 o. www. mathsrevision. com N 10 -Mar-21 285 o Created by Mr. Lafferty Maths Dept.

Scaled Drawings using Bearings www. mathsrevision. com MTH 3 -17 b At the beginning of an orienteering competition two runners set off in different directions. Runner 1 runs NE for 350 m. Runner 2 runs on a bearing of 150 o for 200 m. By making an accurate scale drawing, N how far apart are the two runners. 10 -Mar-21 R 1 045 o 350 m 150 o 200 m Created by Mr. Lafferty Maths Dept. R 2

Scaled Drawings using Bearings Make an accurate drawing of each runner’s journey www. mathsrevision. com MTH 3 -17 b 10 -Mar-21 N 1 cm represents 50 m R 1 7 cm 045 o S 9 cm 150 o 4 cm R 2 Created by Mr. Lafferty Maths Dept.

Scales & Drawing MTH 3 -17 b www. mathsrevision. com Are we Make bigger expecting fraction more or less Drawing 1 9 10 -Mar-21 → → Created by Mr. Lafferty Maths Dept. Real-Life 50

Have you updated your Learning book ? Scale Drawings www. mathsrevision. com MTH 3 -17 b Now try TJ 3 b Ex 5 Ch 9 (page 91) 10 -Mar-21 Created by Mr. Lafferty Maths Dept.