1. 1-Aug-15Created by Mr. Lafferty Maths Dept. Enlarge & Reduce Shapes Revise Drawing Triangles Scales & Drawing www.mathsrevision.com Scales and Map Reading Bearings

2. 1-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

3. 1-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.To be able to draw scaled drawing of a shape either an enlargement or reduction. 1. We are learning to draw an enlarged or reduced drawing for various shapes. Scales & Drawing Enlargement & Reduction

4. 1-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Scales & Drawing Enlargement & Reduction Example : Enlarge the shape by a factor of 2. Simply double what you have in both directions 2 boxes wide 1 b o x d o w n 4 boxes wide 2 b o x e s w i d e Factor of 2

5. 1-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Scales & Drawing Enlargement & Reduction Example : Reduce the triangle by a factor of 4. Simply quarter what you have in both directions 12 4 3 1 Factor of 1/4

6. 1-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Scales & Drawing Enlargement & Reduction Example : Say whether the following is a enlargement or reduction. Find the missing by first working out scale factor value. 5 10 20 10 Factor of

7. 1-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 1 Ch37 (page 146) www.mathsrevision.com Scales & Drawing Enlargement & Reduction

8. 1-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

9. 1-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.Understand the steps for drawing SAS, ASA and SSS triangles. 1. To revise drawing SAS, ASA and SSS triangles Scales & Drawing Drawing SAS, ASA and SSS Triangles

10. 1-Aug-15 Created by Mr. Lafferty Maths Dept. Drawing SAS Triangles SAS Triangles Angle Side Side

11. 1-Aug-15 Created by Mr. Lafferty Maths Dept. Drawing SAS Triangles Toolkit required 1.Ruler 2.Protractor 3.Pencil & Paper

12. 1-Aug-15 Created by Mr. Lafferty Maths Dept. Drawing SAS Triangles Example : Draw to scale the triangle ABC with AB = 6cm and angle CAB = 30 o and AC = 5cm Step 1Draw line AB=6cm AB C Step 2Measure angle CAB from A Step 3Draw the line AC = 5cm through X. Label it C. Step 4Join C to B. Check angles add to 180 o A B C 30 o X

13. 1-Aug-15 Created by Mr. Lafferty Maths Dept. Drawing ASA Triangles ASA Triangles Side Angle Angle

14. 1-Aug-15 Created by Mr. Lafferty Maths Dept. Drawing ASA Triangles Toolkit required 1.Ruler 2.Protractor 3.Pencil & Paper

15. 1-Aug-15 Created by Mr. Lafferty Maths Dept. Drawing ASA Triangles Example : Draw to scale the triangle PQR with PQ = 8cm and angle RPQ = 30 o and angle RQP = 40 o Step 1Draw line PQ P Q R Step 2Measure Angle RPQ from P Step 3Measure angle RQP from Q Step 4Intersection point is R Check angles add to 180 o P Q R

16. 1-Aug-15 Created by Mr. Lafferty Maths Dept. Drawing SSS Triangles SSS Triangles Side Side Side

17. 1-Aug-15 Created by Mr. Lafferty Maths Dept. 2.Compass Drawing SSS Triangles Toolkit required 1.Ruler 3.Pencil & Paper

18. 1-Aug-15 Created by Mr. Lafferty Maths Dept. Drawing SSS Triangles Example : Draw to scale the triangle XYZ with XY = 3cm and XZ = 5cm and YZ = 4cm Step 1Draw line XY=3cm XY Z Step 2Use your compass to draw part of a circlecentre X radius XZ=5cm Step 3Use your compass to draw part of a circle centre Y radius YZ=4cm Step 4Intersection point is labelled Z Check angles add to 180 o X y Z Step 5Draw in line XZ and YZ to complete triangle

19. 1-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 2 Ch37 (page 146) www.mathsrevision.com Scales & Drawing Drawing SAS, ASA and SSS Triangles

20. 1-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

21. 1-Aug-15Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.To be able to : Bisect a line at right angles. Bisect an angle. Draw a 60 o angle. 1.We are learning how to bisect a line at right angles. How to bisect and angle. How to draw 60 o angle. Scales & Drawing Drawing Quadrilaterals & Polygons

22. 1-Aug-15 Created by Mr. Lafferty Maths Dept. Bisecting a line at right angles Toolkit required 1.Ruler 3.Pencil & Paper 2.Compass

23. 1-Aug-15 Created by Mr. Lafferty Maths Dept. We want to find the midpoint of PQ Step 1Set your compass to a size greater than half of PQ. P Q Step 2Draw an arc, centre P and another arc centre Q. Step 3Join the 2 points A and B where the arcs intersect. The line AB will bisect PQ, and does so at right angles. B Bisecting a line at right angles 2cut A

24. 1-Aug-15 Created by Mr. Lafferty Maths Dept. We want to cut ∠ PQR in half (Bisect it) Step 1With centre Q and using any radius, draw an arc, cutting PQ at M and QR at N. Q R Step 2With the same radius as above, draw an arc centre M and another, centre N. Where they meet call it T. Step 3Join QT. This line will cut ∠ PQR in half. Can you see QMTN is a rhombus ? N Bisecting an angle 2cut P M T

25. 1-Aug-15 Created by Mr. Lafferty Maths Dept. Step 1Draw a line PQ. P Q Step 2With radius PQ draw an arc centre P. Step 4The 2 arcs intersect at R. Join P to R. Angle RPQ is 60 o Drawing a 60 o angle R Step 3With radius PQ draw an arc centre Q. 60 o

26. 1-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 3 Ch37 (page 149) www.mathsrevision.com Scales & Drawing Drawing Quadrilaterals & Polygons

27. 1-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

28. 1-Aug-15Created by Mr. Lafferty Maths Dept. St. Andrew’s Secondary Learning Intention Success Criteria 1.Understand the term scaled drawings. 1. We are learning the term scaled drawing, read maps and interpret distance. 2. Interpret scaled drawing into real-life measurements. Scales & Drawing

29. 1-Aug-15Created by Mr. Lafferty Maths Dept. A scale of 1 cm = 2m This simply means for every 1cm measured on a drawing this represents 2m in real-life. Definition www.mathsrevision.com Scales & Drawing

30. 1-Aug-15Created by Mr. Lafferty Maths Dept. This line measures 3cm What is the distance in real-life Example www.mathsrevision.com 1cm = 50m This line measures 4cm What is the distance in real-life Example 1cm = 2miles Scales & Drawing 3 x 50 = 150m 4 x 2 = 8 miles

31. 1-Aug-15Created 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 1cm = 2.5m www.mathsrevision.com Scales & Drawing 4 x 2.5 = 10m

32. 1-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 4 Ch37 (page 150) www.mathsrevision.com Scales & Drawing

33. 1-Aug-15Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

34. 1-Aug-15Created by Mr. Lafferty Maths Dept. St. Andrew’s Secondary Learning Intention Success Criteria 1.We are learning how to calculate a bearing and it apply to problems. 1. Remember the steps on how to work out a bearing. 2. Apply knowledge to problems. Scales & Drawing Bearings

35. 1-Aug-15Created 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

36. 1-Aug-15Created by Mr. Lafferty Maths Dept. The bearing from A to B is 70 o. What is the bearing from B to A. Example www.mathsrevision.com Scales & Drawing Bearings 70 o North A B 70 o 70 o + 180 o = 250 o Bearing from B to A is :

37. 1-Aug-15Created by Mr. Lafferty Maths Dept. The bearing from X to Y is 30 o. What is the bearing from Y to X. Example www.mathsrevision.com Scales & Drawing Bearings 30 o North X Y 30 o 30 o + 180 o = 210 o Bearing from Y to X is :

38. 1-Aug-15Created by Mr. Lafferty Maths Dept. Now try Exercise 5 Ch37 (page 152) www.mathsrevision.com Scales & Drawing Bearings