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Scaled Drawings. Working with Scales. Making Simple Scale Drawings. Harder Scale Drawings. Compass Points & 3 Figure Bearings. www.mathsrevision.com. Measuring 3 Figure Bearings. Starter Questions. www.mathsrevision.com. Scales. Learning Intention. Success Criteria.
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Scaled Drawings Working with Scales Making Simple Scale Drawings Harder Scale Drawings Compass Points & 3 Figure Bearings www.mathsrevision.com Measuring 3 Figure Bearings Created by Mr. Lafferty Maths Dept.
Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Scales Learning Intention Success Criteria • To understand the term scale. • 1. We are learning the term scale on a map. 2. Calculate the real life distances using a scaled. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Measuring & Scales Given that the scale of this drawing is 1cm = 35cm What is the actual length of the car in metres ? 350 cm 10 x 35 = www.mathsrevision.com 3.5 m ? m Created by Mr. Lafferty Maths Dept.
Measuring & Scales Given that the scale of this drawing is 1cm = 700cm What is the actual height of the wind turbine in metres ? www.mathsrevision.com ? m 6300 cm 9 x 700 = 63 m Created by Mr. Lafferty Maths Dept.
Scales The scale of this drawing is 1cm = 5m 6cm What is the actual length of the tree ? www.mathsrevision.com 30m 6 x 5 = Created by Mr. Lafferty Maths Dept.
Scales Now try TJ2b Ex 1 Ch6 (page 52) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Scaled Drawings Learning Intention Success Criteria 1. From information given make a scaled drawing. • 1. To draw a scale drawing given suitable information. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Scaled Drawings Problem A garden is rectangular in shape and has length 12m and breadth 8m. Make rough sketch of the garden. 12m Draw an accurate scaled drawing of the garden Use a scale of 1cm represents 2m www.mathsrevision.com 8m Created by Mr. Lafferty Maths Dept.
Scaled Drawings Use a scale of 1cm represents 2m 1cm represents 2m 12m 12m 8m www.mathsrevision.com 8m Created by Mr. Lafferty Maths Dept.
Scaled Drawings 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 1cm represents 2m www.mathsrevision.com 20m 12m Created by Mr. Lafferty Maths Dept.
Scaled Drawings Use a scale of 1cm represents 2m 1cm represents 2m Find the real life length of the 3rd side 20m 20m www.mathsrevision.com 12m 23.2m 2 x 11.6 = 12m Created by Mr. Lafferty Maths Dept.
Scaled Drawings Now try TJ2b Ex2 Ch6 (page 55) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Scales & Drawing Learning Intention Success Criteria 1. Interpret information in a problem to create a suitable scale drawing. • 1. We are learning to solve real-life problems using scale drawings. www.mathsrevision.com 2. Apply a scale drawing methods to solve a given problem. Created by Mr. Lafferty Maths Dept.
T X Y 55o Scales & Drawing Problem The sketch shows a flag-pole YT supported by a wire. The distance from X to Y is 6m and angle TXY = 55o. www.mathsrevision.com Make a scale drawing and work Out the real height of the pole. Use a scale of 1cm = 2m 6m Created by Mr. Lafferty Maths Dept.
T X Y 55o 6m Scale Drawings Solution Using a scale of 1cm = 2m T Step 1: Draw line XY=3cm Step 2: Draw a line straight up from Y. Step 3: Measure angle 55o from X. Step 4: Draw line from X to vertical line and mark T at crossover point. www.mathsrevision.com 4.3cm Step 5: Measure length YT. Step 6: Multiply length YT. by scale factor. X Y Created by Mr. Lafferty Maths Dept.
Scales & Drawing Are we expecting more or less Make bigger fraction Drawing Real-Life 1 → 2 www.mathsrevision.com 4.3 → 5-Jan-20 Created by Mr. Lafferty Maths Dept.
Scaled Drawings Now try TJ2b Ex3 Ch6 (page 58) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Bearings Learning Intention Success Criteria 1. Be able to make sense of a map. • To show how to write down directions using a map. • 2. To explain how to construct a scale drawing using bearings. • Write down accurate directions from a map. • 3. Construct and interpret an accurate scale drawing. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
360/000o N Half way between North and West Half way between North and East NW NE 270o 090o W E SW SE Half way between South and West Half way between South and East S 180o Compass Points Created by Mr. Lafferty Maths Dept.
Bearings 360/000o N N N N 60o 270o 090o W W W W E E E E S S S S 180o 145o 315o 230o 1.Measured from North. 060o 2.In a clockwise direction. 3.Written as 3 figures. 315o 230o 145o Created by Mr. Lafferty Maths Dept.
360/000o 350o 020o N 315o 045o NW NE 290o 080o 270o 090o W E 250o 110o SW SE 225o 210o 135o 160o S 180o Bearings Created by Mr. Lafferty Maths Dept.
Bearings Now try TJ2b Ex4 Ch6 (page 60) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Starter Questions • For west give it’s 3 figure bearing. • 3 + 4 x 9 • Write 10% as a fraction and decimal. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Bearings Learning Intention Success Criteria 1. Be able to measure a bearing. • We are learning to measure and construct a bearing. • Be able to construct a bearing. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Drawing Bearings Draw a bearing of 050o. N 050o www.mathsrevision.com Created by Mr. Lafferty Maths Dept.
Drawing Bearings Draw a bearing of 285o. N www.mathsrevision.com 350o Created by Mr. Lafferty Maths Dept.
Bearings Now try TJ2b Ex5 Ch6 (page 62) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.