objective: to describe properties of solid shapes such as perpendicular and parallel lines, faces...
TRANSCRIPT
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Objective:
To describe properties of solid shapes
such as perpendicular and parallel lines, faces and edges
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PART 1SOLID SHAPES
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Two-dimensional Shapes (2D)
• These shapes are flat and can only be drawn on paper.
• They have two dimensions – length and width.
• They are sometimes called plane shapes.
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Three-dimensional Shapes (3D)
• These shapes are solid or hollow.
• They have three dimensions – length, width and height.
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Face
• Part of a shape that is flat.(Or curved)
• E.g. A cube has 6
of these.
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Edge• The line where two
faces meet.• E.g. A cube has 12 of
these.
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Vertex (Vertices)
• The place where three or more edges meet.
• This pyramid has 4 of these.
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Parallel• These type of lines
stay the same distance apart for their whole length. They do not need to be straight or the same length.
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Perpendicular• A line that is drawn in
a right angle to another line .
• In solid shapes edges could be at a right angle to one another.
• Faces could also be at right angles to one another.
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Cube• A three-dimensional
shape which has 6 square faces all the same size.
Some faces parallel
Some edges parallel
Some faces perpendicular
Some edges perpendicular
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Cuboid• A three-dimensional
shape which has 6 rectangular faces.
Some faces parallel
Some edges parallel
Some faces perpendicular
Some edges perpendicular
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Sphere• A perfectly round
three-dimensional shape, like a ball. It has only one curved face.
No perpendicular faces or edges
No parallel faces or edges
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Hemisphere• A three-dimensional
shape that is half a sphere.
No parallel faces or edges
No perpendicular faces or edges
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Cone• A three dimensional
shape with a circle at its base and a pointed vertex.
No perpendicular faces or edges
No parallel faces or edges
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Cylinder• A three-dimensional
shape with circular ends of equal size.
Some faces parallel
Some edges parallel
Some faces perpendicular
No edges perpendicular
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Pyramid• A three-dimensional
shape which has a polygon for its base and triangular faces which meet at one vertex.
•E.g. Triangular pyramid
• Square pyramid
• Hexagonal pyramid
• Pentagonal pyramid
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Square base pyramid
No faces perpendicular
Some edges perpendicular
No faces parallel
Some edges parallel
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Prism• A three dimensional
shape that has the same cross-section all along its length.
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Written task
CubeCuboid
ConeSquare based- Pyramid
SphereHemispere
SOME PERPENDICULAR FACES
NO PERPENDICULAR FACES
SOME PARALLEL FACES NO PARALLEL FACES
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Written task
CubeCuboid
Square-based pyramid
SphereHemisphere
Cone
SOME PERPENDICULAR EDGES
NO PERPENDICULAR EDGES
SOME PARALLEL EDGES NO PARALLEL EDGES
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PART 2
PLANE SHAPES
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PolygonsTwo-dimensional shapes
that have sides made from straight lines.
• E.g. triangles
squares
hexagons
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Quadrilaterals• Any two-dimensional
shapes with four straight sides.
• E.g. square
rhombus
rectangle
trapezium
kite
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Rectangle• A four sided two-
dimensional shape with two pairs of parallel sides that meet at right angles.
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Kite• A two-dimensional
shape with two shorter sides of equal length and two longer sides of equal length.
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Rhombus• A two-dimensional
four sided shape with opposite sides that are parallel and all the sides are the same length.
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Trapezium• A two-dimensional
shape with four sides.One pair of sides is parallel with one side longer than the other.
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Pentagon• A two-dimensional
shape with five straight sides and five angles.
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Hexagon• A two-dimensional
shape with 6 straight sides and 6 angles.
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Octagon• A two-dimensional
shape with 8 straight sides and 8 angles.
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What do we call a shape with:7 Sides?9 Sides?
10 Sides?
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Circle• A round flat two-
dimensional shape.
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Square• Two dimensional
shape with 4 sides of the same length and 4 90° angles.
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Triangle• Two-dimensional
shape with three straight sides and three angles.
• Can you name 4 different kinds?