week 14 - virtual experiment science and concept map
TRANSCRIPT
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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
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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
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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
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