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22-Feb-16Created by Mr. Lafferty Maths Dept. Names of Polygons Drawing Triangles - SAS Drawing Shapes www.mathsrevision.com Drawing Triangles - ASA Drawing.

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Presentation on theme: "22-Feb-16Created by Mr. Lafferty Maths Dept. Names of Polygons Drawing Triangles - SAS Drawing Shapes www.mathsrevision.com Drawing Triangles - ASA Drawing."— Presentation transcript:

1 22-Feb-16Created by Mr. Lafferty Maths Dept. Names of Polygons Drawing Triangles - SAS Drawing Shapes www.mathsrevision.com Drawing Triangles - ASA Drawing Triangles - SSS Drawing Quadrilaterals & Polygons

2 MTH 3-16a 22-Feb-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

3 MTH 3-16a 22-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Learning Intention Success Criteria 1.To be able to name the most common polygons given a sketch or number of sides. 1. We are learning to identify various polygons. Recognising Polygons

4 22-Feb-16Created by Mr. Lafferty Maths Dept. www.mathsrevision.com Undecagon Parallelogram (4 sided)Square (4 sided)Triangle (3 sided) Trapezium (4 sided)Kite (4 sided)Rhombus (4 sided)

5 22-Feb-16Created by Mr. Lafferty www.mathsrevision.com Decagon (10 sided) Heptagon (7 sided)Hexagon (6 sided)Pentagon (5 sided) Octagon (8 sided)Nonagon (9 sided) MTH 3-16a

6 22-Feb-16Created by Mr. Lafferty www.mathsrevision.com Dodecagon (12 sided)Undecagon (11 sided) MTH 3-16a

7 22-Feb-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 1 Ch7 (page 66) www.mathsrevision.com Recognising Polygons

8 MTH 3-16a 22-Feb-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

9 MTH 3-16a 22-Feb-16Created 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 Drawing Shapes Drawing SAS, ASA and SSS Triangles

10 22-Feb-16 Created by Mr. Lafferty Maths Dept. Drawing SAS Triangles SAS Triangles Angle Side Side

11 22-Feb-16 Created by Mr. Lafferty Maths Dept. Drawing SAS Triangles Toolkit required 1.Ruler 2.Protractor 3.Pencil & Paper

12 22-Feb-16 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 A B C 30 o

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

14 MTH 3-16a 22-Feb-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 2 Ch7 (page 68) www.mathsrevision.com Drawing Shapes Drawing SAS Triangles

15 22-Feb-16 Created by Mr. Lafferty Maths Dept. Drawing ASA Triangles ASA Triangles Side Angle Angle

16 22-Feb-16 Created by Mr. Lafferty Maths Dept. Drawing ASA Triangles Toolkit required 1.Ruler 2.Protractor 3.Pencil & Paper

17 22-Feb-16 Created by Mr. Lafferty Maths Dept. Drawing ASA Triangles Example : Draw to scale the triangle PQR with PQ = 8cm angle RPQ = 30 o and angle RQP = 40 o P Q R 8cm 30 o 40 o

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

19 MTH 3-16a 22-Feb-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 3 Ch7 (page 69) www.mathsrevision.com Drawing Shapes Drawing ASA Triangles

20 22-Feb-16 Created by Mr. Lafferty Maths Dept. Drawing SSS Triangles SSS Triangles Side Side Side

21 22-Feb-16 Created by Mr. Lafferty Maths Dept. 2.Compass Drawing SSS Triangles Toolkit required 1.Ruler 3.Pencil & Paper

22 22-Feb-16 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 X Y Z 3cm 4cm5cm

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

24 MTH 3-16a 22-Feb-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 4 Ch7 (page 70) www.mathsrevision.com Drawing Shapes Drawing SSS Triangles

25 MTH 3-16a 22-Feb-16Created by Mr. Lafferty Maths Dept. Starter Questions Starter Questions www.mathsrevision.com

26 MTH 3-16a 22-Feb-16Created 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. Drawing Shapes Drawing Quadrilaterals & Polygons

27 22-Feb-16 Created by Mr. Lafferty Maths Dept. Bisecting a line at right angles Toolkit required 1.Ruler 3.Pencil & Paper 2.Compass

28 22-Feb-16 Created by Mr. Lafferty Maths Dept. How to find the midpoint between to points XY using a pair of compasses. Bisecting a line at right angles 2cut

29 Bisecting a line at right-angles YX Step 1: Draw line XY = 4cm B A 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. Step 3: Join the 2 points A and B where the arcs intersect. This will be the MIDPOINT of XY.

30 22-Feb-16 Created by Mr. Lafferty Maths Dept. How to bisect an angle using a compass. Bisecting an angle 2cut

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

32 22-Feb-16 Created by Mr. Lafferty Maths Dept. Drawing a 60 o angle How to draw a 60 o angle using a compass.

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

34 MTH 3-16a 22-Feb-16Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 5 Ch7 (page 72) www.mathsrevision.com Drawing Shapes Drawing Quadrilaterals & Polygons


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