Drawing Shapes

1. Drawing Shapes Names of Polygons Drawing Triangles - SAS Drawing Triangles - ASA www.mathsrevision.com Drawing Triangles - SSS Drawing Quadrilaterals & Polygons Created by Mr. Lafferty Maths Dept.

2. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

3. Recognising Polygons Learning Intention Success Criteria • To be able to name the most common polygons given a sketch or number of sides. • 1. We are learning to identify various polygons. www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

4. Triangle (3 sided) Square (4 sided) Parallelogram (4 sided) Rhombus (4 sided) Kite (4 sided) Trapezium (4 sided) www.mathsrevision.com Created by Mr. Lafferty Maths Dept. Undecagon

5. Pentagon (5 sided) Hexagon (6 sided) Heptagon (7 sided) MTH 3-16a www.mathsrevision.com Octagon (8 sided) Nonagon (9 sided) Decagon (10 sided) Created by Mr. Lafferty

6. Undecagon (11 sided) Dodecagon (12 sided) MTH 3-16a www.mathsrevision.com Created by Mr. Lafferty

7. Recognising Polygons Now try TJ3b Ex 1 Ch7 (page 66) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

8. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

10. Drawing SAS Triangles SAS Triangles Side Side Angle Created by Mr. Lafferty Maths Dept.

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

12. Drawing SAS Triangles C 30o B A Example : Draw to scale the triangle ABC with AB = 6cm and angle CAB = 30o and AC = 5cm Created by Mr. Lafferty Maths Dept.

13. Drawing SAS Triangles Step 1: Draw line AB = 6cm Step 4: Join B to C. C X B A Step 3: Draw the line AC = 5cm through X Step 2: Measure ∠ CAB from A

14. Drawing Shapes Drawing SAS Triangles Now try TJ3b Ex 2 Ch7 (page 68) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

15. Drawing ASA Triangles ASA Triangles Angle Angle Side Created by Mr. Lafferty Maths Dept.

16. Drawing ASA Triangles • Ruler 2. Protractor 3. Pencil & Paper Toolkit required Created by Mr. Lafferty Maths Dept.

17. Drawing ASA Triangles R Q P 30o 40o 8cm Example : Draw to scale the triangle PQR with PQ = 8cm angle RPQ = 30o and angle RQP = 40o Created by Mr. Lafferty Maths Dept.

18. Drawing ASA Triangles Step 1: Draw line PQ = 8cm Step 4: Intersection point is R R Q P Step 3: Measure ∠ RQPQ from Q Step 2: Measure ∠ RPQ from P

19. Drawing Shapes Drawing ASA Triangles Now try TJ3b Ex 3 Ch7 (page 69) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

20. Drawing SSS Triangles SSS Triangles Side Side Side Created by Mr. Lafferty Maths Dept.

21. Drawing SSS Triangles • Ruler 2. Compass 3. Pencil & Paper Toolkit required Created by Mr. Lafferty Maths Dept.

22. Drawing SSS Triangles Z Y X 5cm 4cm 3cm Example : Draw to scale the triangle XYZ with XY = 3cm and XZ = 5cm and YZ = 4cm Created by Mr. Lafferty Maths Dept.

23. Drawing SSS Triangles Step 1: Draw line XY = 3cm Step 4: Intersection point is labelled Z Z Step 5: Draw in line XZ and YZ to complete triangle Y X Step 3: Use a compass to draw part of a circle centre Y radius Z = 4cm Step 2: Use a compass to draw part of a circle centre X radius Z = 5cm

24. Drawing Shapes Drawing SSS Triangles Now try TJ3b Ex 4 Ch7 (page 70) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

25. Starter Questions www.mathsrevision.com Created by Mr. Lafferty Maths Dept.

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

27. Bisecting a line at right angles • Ruler 2. Compass 3. Pencil & Paper Toolkit required Created by Mr. Lafferty Maths Dept.

28. 2 cut Bisecting a line at right angles How to find the midpoint between to points XY using a pair of compasses. Created by Mr. Lafferty Maths Dept.

29. Bisecting a line at right-angles Step 1: Draw line XY = 4cm Step 2: Set your compass to a size greater than half of XY say (3cm). Draw an arc, centre P and another arc centre Q. A X Y Step 3: Join the 2 points A and B where the arcs intersect. This will be the MIDPOINT of XY. B

30. 2 cut Bisecting an angle How to bisect an angle using a compass. Created by Mr. Lafferty Maths Dept.

31. Step 1: With centre Q and using any radius say (3cm), draw an arc, cutting PQ at M and QR at N. What shape is QMTN ? Rhombus Bisecting an angle P M T xo xo Q R N Step 2: With the same radius as above, draw an arc centre M and another, centre N. Where they meet call it T. Step 3: Join QT. This line will cut ∠PQRin half.

32. Drawing a 60o angle How to draw a 60o angle using a compass. Created by Mr. Lafferty Maths Dept.

33. Step 4: The 2 arcs intersect at Z. Join X to Z. Drawing a 60o angle Step 1: Draw a line XY , say 5cm. Z If we connected YZ together what special shape would we get ? Equilateral Triangle 60o X Y Step 2: With radius XY draw an arc centre X. Step 3: With radius XY draw an arc centre Y.

34. Drawing Shapes Drawing Quadrilaterals & Polygons Now try TJ3b Ex 5 Ch7 (page 72) www.mathsrevision.com Created by Mr. Lafferty Maths Dept.