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Symmetry

MTH 2-19a MTH 3-19a. Symmetry. Line Symmetry. Rotational (Order) Symmetry. Creating Rotational Symmetry. www.mathsrevision.com. Translational Symmetry. MTH 2-19a MTH 3-19a. Starter Questions. Q1. Calculate. Q2. If 1 bar of chocolate costs 65p. How much will

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Symmetry

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  1. MTH 2-19a MTH 3-19a Symmetry Line Symmetry Rotational (Order) Symmetry Creating Rotational Symmetry www.mathsrevision.com Translational Symmetry

  2. MTH 2-19a MTH 3-19a Starter Questions Q1. Calculate Q2. If 1 bar of chocolate costs 65p. How much will 1000 bars cost. Give your answer in £’s. Q3. Round to 1 decimal place www.mathsrevision.com Q4. Convert to 24 hrs clock

  3. MTH 2-19a MTH 3-19a Line Symmetry Learning Intention Success Criteria • Understand the term line symmetry. • To revise line symmetry. • Complete Drawings given the line of symmetry. www.mathsrevision.com

  4. MTH 2-19a MTH 3-19a Line Symmetry A line symmetry occurs in a shape if, when the shape is folded over the line the two pieces either side of the line, are exactly the same. www.mathsrevision.com

  5. MTH 2-19a MTH 3-19a Line SymmetryThe Square www.mathsrevision.com

  6. MTH 2-19a MTH 3-19a Line SymmetryThe rectangle www.mathsrevision.com

  7. MTH 2-19a MTH 3-19a Line SymmetryThe square www.mathsrevision.com

  8. MTH 2-19a MTH 3-19a Line SymmetryThe Rhombus www.mathsrevision.com

  9. MTH 2-19a MTH 3-19a Line SymmetryThe Parallelogram www.mathsrevision.com No lines of symmetry !

  10. MTH 2-19a MTH 3-19a Line SymmetryThe Equilateral Triangle www.mathsrevision.com

  11. MTH 2-19a MTH 3-19a Line SymmetryThe Trapezium 1 www.mathsrevision.com

  12. MTH 2-19a MTH 3-19a Line SymmetryThe Trapezium 2 No lines of symmetry ! www.mathsrevision.com

  13. MTH 2-19a MTH 3-19a Line SymmetryThe Hexagonal www.mathsrevision.com

  14. MTH 2-19a MTH 3-19a Line Symmetry Example : Complete the rest of the shape given the line of symmetry. www.mathsrevision.com

  15. Creating Half-TurnSymmetry MTH 2-19a MTH 3-19a Your turn ! Exercise 1 Page 81 www.mathsrevision.com

  16. MTH 2-19a MTH 3-19a Starter Questions Q1. Round the following to the first decimal place. (a) 153.37 (b) 261.55 Q2. What fraction is the green area. What fraction is the grey area. www.mathsrevision.com Q3. A pencil costs 22p. How much does a 1000 cost. Put your answer in £’s.

  17. MTH 2-19a MTH 3-19a Rotational Symmetry Learning Intention Success Criteria • Understand the terms rotational symmetry. • We are learning what rotational symmetry is for a shape. www.mathsrevision.com

  18. Rotational Symmetry MTH 2-19a MTH 3-19a 1. Draw this shape into your jotter. 2. Use the tracing paper to make a copy of this shape. 3. Turn the tracing paper through 180 degrees about the dot. www.mathsrevision.com This new shape has HALF - TURN symmetry This dot is called the centre of symmetry

  19. Rotation Symmetry Half Turn MTH 2-19a MTH 3-19a www.mathsrevision.com All these shapes have order 2

  20. Rotation Symmetry Order MTH 2-19a MTH 3-19a The order of symmetry is the number of times a shape looks the same in one complete turn. Has order 2 www.mathsrevision.com Has order 3 Has order 4

  21. Rotational Symmetry MTH 2-19a MTH 3-19a Your turn ! Exercise 2 Page 82 www.mathsrevision.com

  22. MTH 2-19a MTH 3-19a Starter Questions Q1. Calculate Q2. What is the time difference between 8.15am and 1:00pm P=20cm Q3. A=25cm2 www.mathsrevision.com 5cm Q4. Find the perimeter and area of the square. Q5. Find the order of rotational symmetry for the shape opposite. 6 5 1 4 3 2

  23. MTH 2-19a MTH 3-19a Creating Half-TurnSymmetry Learning Intention Success Criteria • Understand the terms half-turn symmetry. • We are learning how we can create half-turn symmetry for a shape. • Draw the other half of a shape such that it has half-turn symmetry. www.mathsrevision.com

  24. Creating Half-TurnSymmetry MTH 2-19a MTH 3-19a Task 1 Draw the complete shape you get after it has been rotated through 180 degrees about the point. Task 2 Do the same for this shape www.mathsrevision.com

  25. Creating Half-TurnSymmetry MTH 2-19a MTH 3-19a Task 3 Do the same for this shape www.mathsrevision.com If you find it difficult to work out the new shape 1. Try tracing the shape first 2. Then rotate tracing paper 180 deg about the point.

  26. Creating Half-TurnSymmetry MTH 2-19a MTH 3-19a Your turn ! Exercise 3 Page 85 www.mathsrevision.com

  27. MTH 2-19a MTH 3-19a Starter Questions Q1. Calculate Q2. What is the time difference between 8.15am and 1:00pm Q3. www.mathsrevision.com Q4. (-2) + (-3) Q5. How many lines of symmetry does regular hexagon have.

  28. MTH 2-19a MTH 3-19a Translational (slide)Symmetry Learning Intention Success Criteria • Understand the terms translational, slide congruent and tile. • We are learning the meaning of Translational (slide) symmetry using tile patterns. www.mathsrevision.com • Identify shapes that tile. • Construct a tile pattern • for shapes.

  29. Translational (slide)Symmetry MTH 2-19a MTH 3-19a Exactly the same shape and size ! www.mathsrevision.com A shape that tiles can be completely surrounded by congruent shapes WITHOUT leaving any gaps.

  30. Translational (slide)Symmetry MTH 2-19a MTH 3-19a Is this a tile pattern ? No because there are gaps www.mathsrevision.com

  31. Translational (slide)Symmetry MTH 2-19a MTH 3-19a Write down as many tile patterns as you can that you see every day. www.mathsrevision.com

  32. Translational (slide)Symmetry MTH 2-19a MTH 3-19a Your turn ! Exercise 4 Page 87 www.mathsrevision.com

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