MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry www.mathsrevision.com Creating Rotational Symmetry.

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Presentation transcript:

MTH 3-19a MTH 4-19a Symmetry Line Symmetry Rotation (Turn) Symmetry Translational Symmetry Creating Rotational Symmetry

MTH 3-19a MTH 4-19a 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 Q4.Convert to 24 hrs clock

MTH 3-19a MTH 4-19a Line Symmetry Learning Intention Success Criteria 1.Understand the term line symmetry. 1.We are learning how to recognise and create line symmetry. 2.Complete Drawings given the line of symmetry.

MTH 3-19a MTH 4-19a 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.

Line Symmetry How many lines of symmetry do these shapes have ? Square (4 lines) Equilateral Triangle (3 lines)

How many lines of symmetry do these shapes have ? Rectangle (2 lines) Isosceles Triangle (1 lines)

Line Symmetry How many lines of symmetry do these shapes have ? Kite (1 line)Rhombus (2 lines)

Line Symmetry How many lines of symmetry do these shapes have ? Parallelogram No lines of Symmetry

Line Symmetry How many lines of symmetry do these shapes have ? Trapezium 1 (1 line) Trapezium 2 No line of Symmetry

Line Symmetry How many lines of symmetry do these shapes have ? Hexagon (6 lines) (2 lines)

Line Symmetry Draw the other side of the shape so it has line symmetry.

Line Symmetry Draw the other side of the shape so it has line symmetry.

MTH 3-19a MTH 4-19a 8-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 1 Ch11 (page 105) Line Symmetry

MTH 3-19a MTH 4-19a Starter Questions Q1.Round the following to the first decimal place. Q2.What fraction is the green area. What fraction is the grey area. Q3.A pencil costs 22p. How much does a 1000 cost. Put your answer in £’s. (a) (b)261.55

MTH 3-19a MTH 4-19a Learning Intention Success Criteria 1.Understand the terms rotational symmetry. 1.We are learning what rotational symmetry and its order. Rotation (Turn) Symmetry 2. State the turn symmetry and order for shapes.

Rotation (Turn) Symmetry Draw the other side of the shape rotated through 180 o around the red point. This new shape has half-turn symmetry ORDER 2. Order 2 means it looks the same twice as it is rotated through 360 o.

Rotation (Turn) Symmetry State the turn symmetry for each and its order. Square ( ¼ turn symmetry) Order 4 Rectangle ( ½ turn symmetry) Order 2

MTH 3-19a MTH 4-19a 8-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 2 Ch11 (page 107) Rotation (Turn) Symmetry

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

MTH 3-19a MTH 4-19a Creating Half-Turn Symmetry Learning Intention Success Criteria 1.Understand the terms half- turn symmetry. 1.We are learning how we can create half-turn symmetry for a shape. 2.Draw the other half of a shape such that it has half-turn symmetry.

Creating Half -Turn Symmetry Draw the other side of the shape rotated through 180 o around the red point. The final shape depends on the centre of rotation.

Draw the other side of the shape rotated through 180 o around the red point.

MTH 3-19a MTH 4-19a 8-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 3 Ch11 (page 110) Creating Half-Turn Symmetry

MTH 3-19a MTH 4-19a Starter Questions Starter Questions Q1.Calculate Q4.(-2) + (-3) Q3. Q2.What is the time difference between 8.15am and 1:00pm Q5.How many lines of symmetry does regular hexagon have.

MTH 3-19a MTH 4-19a Translation (slide) Symmetry Learning Intention Success Criteria 1.Understand the terms translational, slide congruent and tile. 1.We are learning the meaning of Translational (slide) symmetry using tile patterns. 2.Identify shapes that tile. 3.Construct a tile pattern for shapes.

Translation (Slide) Symmetry A shape that tiles can be completely surrounded by congruent shapes WITHOUT leaving any gaps. Using Slide Symmetry Shape tiles DOES NOT tiles Gaps between shapes Gaps Gaps

How can you tell if the tiling is complete ?

Is this the complete tiling ? No ! Why ? Complete the tiling

MTH 3-19a MTH 4-19a Translation (slide) Symmetry Write down as many tile patterns as you can that you see every day.

MTH 3-19a MTH 4-19a 8-Dec-15Created by Mr. Lafferty Maths Dept. Now try TJ3b Ex 4 Ch11 (page 112) Translation (Slide) Symmetry Have you updated your Learning Log ?