week 14 - virtual experiment science and concept map

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  • 8/8/2019 WEEK 14 - VIRTUAL EXPERIMENT SCIENCE AND CONCEPT MAP

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    Shapes

    Introduction

    You need to know the properties of the different types of triangle and square. Circles alwayshave a radius, a diameter, and a circumference. You also need to know about other polygons

    such as hexagons and pentagons.

    The perimeter is the length of the sides of a shape, and the area is the surface area that it covers.

    You need to know how to work out how many lines of symmetry a 2D shape has.

    3D shapes have faces (sides), edges and vertices (corners). A net is what a 3D shape would look

    like if it were opened out flat.

    This section includes:

    Triangles

    Quadrilaterals

    Circles

    Polygons

    Perimeter and area

    Symmetry 3D shapes

    Nets of 3D shapes

    Triangles

    Triangles have three sides. There are many different types of triangles:

    Equilateral triangle

    3 equal sides

    3 equal angles of 60

    http://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read2.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read3.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read4.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read5.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read6.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read7.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read8.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read9.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read3.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read4.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read5.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read6.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read7.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read8.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read9.shtmlhttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space/shapes/read2.shtml
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    Isosceles triangle

    2 equal sides 2 equal angles

    Scalene triangle

    No equal sides No equal angles

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    Right-angled triangle

    One of its angles is a right angle (90)

    Quadrilaterals

    Quadrilaterals have four sides. Here are some special quadrilaterals:

    Square

    4 equal sides

    4 right angles

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    Rectangle

    2 pairs of equal sides 4 right angles

    Rhombus (squashed square)

    4 equal sides

    Opposite sides are parallel

    Opposite angles are equal

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    Parallelogram (squashed rectangle)

    2 pairs of equal sides Opposite sides are parallel

    Opposite angles are equal

    Trapezium

    One pair of parallel sides of different lengths

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    Kite

    2 pairs of equal sides next to each other No parallel sides.

    Triangles

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    Triangles have three sides. There are many different types of triangles:

    Equilateral triangle

    3 equal sides

    3 equal angles of 60

    Isosceles triangle

    2 equal sides

    2 equal angles

    Scalene triangle

    No equal sides

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    No equal angles

    Right-angled triangle

    One of its angles is a right angle (90)

    Polygons

    Polygons are shapes with many straight sides:

    Regular polygons have equal angles and sides of equal length.

    Irregular polygons have sides of different lengths.

    Here are some common polygons:

    Pentagons have 5 sides:

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    A regular pentagon

    Hexagons have 6 sides:

    A regular hexagon

    Heptagons have 7 sides:

    A regular heptagon

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    Octagons have 8 sides:

    A regular Octagon

    An irregular pentagon

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    Hexagons have 6 sides:

    An irregular hexagon

    Heptagons have 7 sides:

    An irregular heptagon

    Octagons have 8 sides:

    An irregular octagon

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    Perimeter and area

    What is perimeter?

    The perimeter is the distance all the way around the outside of a 2D shape.

    To work out the perimeter, add up the lengths of all the sides.

    The perimeter of this shape is 5 + 5 + 10 + 10 = 30 cm:

    What is area?

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    The area of a 2D shape is the amount of surface it covers. The units for area are cm2 (square centimetres), m2 (square metres) or km2 (square

    kilometres).

    To work out the area of a rectangle, multiply its length (the longer side) by its width (the

    shorter side):

    area = length width

    The area of this rectangle is 6 x 4 = 24 cm2:

    Symmetry A 2D shape is symmetrical if a line can be drawn through it so that either side of the line

    looks exactly the same. The line is called a line of symmetry.

    Square 4 lines of symmetry

    Equilateral triangle 3 lines of symmetry

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    Rectangle 2 lines of symmetry

    Isosceles triangle 1 line of symmetry

    Parallelogram 0 lines of symmetry

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    3D shapes 3D shapes have faces (sides), edges and vertices (corners).

    The exception is the sphere which has no edges or vertices.

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    Must do:-Which of the only shape has the only flat faces? Which of the shape have curved face?

    Should do:- Two of the shapes have 12 edges. Can you find these two shapes? You know youre

    scalene from your isosceles?

    Could do:-Which one of the shape has one vertex?

    Does This activity will sharpen up your shape knowledge.

    Maths > Shape and space > Shapes - Quiz

    A triangle with three equal sides is called

    an equilateral triangle

    an isosceles triangles

    http://www.bbc.co.uk/schools/ks2bitesize/mathshttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_spacehttp://www.bbc.co.uk/schools/ks2bitesize/mathshttp://www.bbc.co.uk/schools/ks2bitesize/maths/shape_space
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    a scalene triangle

    2. A triangle with two equal angles is called

    an equilateral triangle

    an isosceles triangle

    a scalene triangle

    3. Which of these shapes has no lines of symmetry?

    Square

    Rectangle

    Scalene triangle

    4. I have four equal sides and four right angles. What am I?

    Square

    Rectangle

    Rhombus

    5. I have two pairs of equal sides. My opposite sides are parallel. I have no right angles.

    What am I?

    Rectangle

    Kite

    Parallelogram

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    6. The distance halfway across a circle is called

    the circumference

    the radius

    the diameter

    7. A rectangle has sides of 6 cm and 2 cm. What is its perimeter?

    12 cm

    16 cm

    24 cm

    8. A 2D shape with 6 sides is called

    a quadrilateral

    a pentagon

    a hexagon

    9. How many vertices does a square-based pyramid have?

    8

    6

    5

    10. A square has sides of 5 cm. What is its area?

    25 square cm

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    20 square cm

    10 square cm

    Check Score