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Notation for describing shapes
08/11/2018 Notation for describing shapes Use capital letters in the corners to label the vertices Use these letters to describe the shape Small lines on the sides of the shape mean those side lengths are equal Small arrows on the sides of the shape mean those sides are parallel A B This parallelogram can be described as shape ABCD D C
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We know what a shape is because of the properties is has
08/11/2018 Classifying shapes We know what a shape is because of the properties is has number of sides equal and/or parallel sides equal angles right angles diagonals that bisect each other diagonals that are at right angles line symmetry rotational symmetry
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08/11/2018 TRIANGLES
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08/11/2018 Types of triangles Right angled Isosceles Equilateral
Has a right angle Isosceles Two equal sides Two equal angles Equilateral All sides equal All angles equal Scalene No equal sides No equal angles No right angles
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08/11/2018 QUADRILATERALS
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Types of quadrilateral
08/11/2018 Types of quadrilateral Rectangle Parallelogram Trapezium Kite Square Rhombus Isosceles trapezium Delta / Arrowhead
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08/11/2018 POLYGONS
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08/11/2018 A polygon is a 2-D shape made when line segments enclose a region. A An end point is called a vertex. Together they are called vertices. B The line segments are called sides. E C D These two dimensions are length and width. A polygon has no thickness. 2-D stands for two-dimensional.
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08/11/2018 Task – Which of the following are polygons?
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08/11/2018 Types of polygons A regular polygon has equal sides and equal angles. An irregular polygon has unequal sides and unequal angles.
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08/11/2018 3 4 5 6 7 8 9 10 11 12 16 20 Equilateral Triangle Square
Regular shapes 3 4 5 6 Equilateral Triangle Square Pentagon Hexagon 7 8 9 10 Septagon/Heptagon Octagon Nonagon Decagon 11 12 16 20 Hendecagon Dodecagon Hexadecagon Icosagon
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08/11/2018 3D SHAPES
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FACE – the flat surfaces of a 3D shape
08/11/2018 3D shapes FACE – the flat surfaces of a 3D shape EDGE – where two faces meet each other. Looks like a line. VERTEX – Where two or more edges meet. Looks like a point How many faces does a cube have? 6 How many edges does a cube have? Face 12 How many vertices does a cube have? 8 Edge Vertex
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08/11/2018 3D shapes Match the words below to the pictures cylinder
sphere triangular prism cube cuboid tetrahedron cone square-based pyramid
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08/11/2018 Task – Write down the amount of faces, edges and vertices each shape on your sheet has. Extension – What shapes are each of the faces?
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08/11/2018 Solutions 1 2 Faces 6 Faces 7 Edges 10 Edges 15 Vertices 6
Pentagonal based pyramid Pentagonal based prism Faces 6 3 Edges 12 Vertices 8 Cuboid
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08/11/2018 PARTS OF A CIRCLE
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08/11/2018 Circles Circumference: the distance around the outside edge of a circle Radius: the distance from the centre to the circumference Diameter: the distance across the circle, passing through the centre
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08/11/2018 Circles Arc: a part of the circumference. Sector: when an arc is bounded by two radii
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08/11/2018 Circles Minor Segment Major Segment
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08/11/2018 LINE SYMMETRY
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08/11/2018 If you can draw a line through a shape so that one half is the mirror image of the other then the shape has reflection or line symmetry. The mirror line is called a line of symmetry. one line of symmetry four lines of symmetry no lines of symmetry
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On your mini whiteboards… Quick Questions!
08/11/2018 LINE SYMMETRY On your mini whiteboards… Quick Questions!
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What line(s) of symmetry does this shape have?
08/11/2018 What line(s) of symmetry does this shape have? Horizontal Line of Symmetry Vertical Line of Symmetry Diagonal Lines of Symmetry No Lines of Symmetry
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What line(s) of symmetry does this shape have?
08/11/2018 What line(s) of symmetry does this shape have? Horizontal Line of Symmetry Vertical Line of Symmetry Diagonal Lines of Symmetry No Lines of Symmetry
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What line(s) of symmetry does this shape have?
08/11/2018 What line(s) of symmetry does this shape have? Horizontal Line of Symmetry Vertical Line of Symmetry Diagonal Lines of Symmetry No Lines of Symmetry
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What line(s) of symmetry does this shape have?
08/11/2018 What line(s) of symmetry does this shape have? Horizontal Line of Symmetry Vertical Line of Symmetry Diagonal Lines of Symmetry No Lines of Symmetry
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What line(s) of symmetry does this shape have?
08/11/2018 What line(s) of symmetry does this shape have? Horizontal Line of Symmetry Vertical Line of Symmetry Diagonal Lines of Symmetry No Lines of Symmetry
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08/11/2018 The rectangle misconception…
A rectangle has only 2 lines of symmetry and not 4 like the square To see this consider the following: Half a rectangle Mirror Line A reflection in the diagonal would produce a kite!
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08/11/2018 Equilateral Triangle Square Regular Pentagon
Regular polygons have lines of symmetry equal to the number of sides/angles that they possess. Regular Hexagon Regular Octagon
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Number of Lines of Symmetry
08/11/2018 Task – Fill in the table for each triangle B D A C Type of Triangle Number of Lines of Symmetry A B C D
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08/11/2018 Solutions 4 3 6 5 8
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08/11/2018 ROTATION SYMMETRY
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08/11/2018 When a shape is rotated 360°, the order of rotational symmetry is the number of times it looks exactly as it did at the start 1 2 3 4 It has rotational symmetry order 5 5
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08/11/2018 The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 360 degrees. Order 1
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08/11/2018 The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 360 degrees. 2 1 Order 1 Order 2
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08/11/2018 The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 360 degrees. 2 1 Order 1 Order 2 3 2 1 Order 3
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08/11/2018 The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 360 degrees. 2 1 Order 1 Order 2 3 3 4 2 1 2 1 Order 4 Order 3
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08/11/2018 Task
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08/11/2018 Solutions 1 2 3 4 Order 6 Order 2 Order 3 Order 2 5 6 7 8
9 10 11 12 Order 4 Order 1 Order 6 Order 8
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