Parallel Lines
Parallel lines run alongside each other in pairs
They would never meet if they carried on.
They are always the same distance apart.
An easy way to remember whether lines are
parallel is Parallel has parallel l’s in.
Look at these shapes.
How many pairs of parallel lines can
you see in each shape?
PerpendicuLar
What angle is this?
PerpendicuLar lines are pairs
of lines that meet at a right
angle.
They are usually marked by
using the right-angle symbol
at the point where they
meet.
An easy way to remember
perpendicuLar lines is
it ends with an r for right angle.
It is in the shape of L
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.
The way we describe a shape is by listing its ‘properties’
• NUMBER OF SIDES
• For example, a pentagon has 5 sides.
• NUMBER OF EDGES (VERTICES)
A vertex is the same as a corner, it is where two sides meet.
For example, a pentagon has 5 vertices.
Properties of 2D shape
I am a
CIRCLE
I have 1
side.
I have 0
vertices.
I am a
triangle.
I have 3
sides.
I have 3
corners.
QUADRILATERALS
We all have 4 sides.
We have only straight sides and no curved sides
We are Closed shape
Remember just like a quad bike.
I am
Square..
I have 4
sides.
I have 4
corners.
All my sides
are equal
Opposite sides
are equal
I am a
Rectangle.
I have 4
sides.
I have 4
corners.
I have two short
sides and two long
sides.
Opposite sides
are equal
I am a
Parallelogram.
I have 4
sides.
I have 4
corners.
My opposite
sides are equal
My opposite
angles are equal
I am a
Kite.
I have 4
sides.
I have 4
corners.
2 pairs of equal
length sides
I am a
Rhombus.
I have 4
sides.
I have 4
corners.
All my sides
are equal
Opposite angles
are equal
Sides
Quadrilateral
Sides
1 pair of parallel
sides
2 pairs of parallel
sides and opposite
sides equal.
2 pairs of parallel sides
and 4 perpendicular
2 pairs of parallel
sides and 4
perpendicular.
2 pairs of parallel
sides.
No parallel or
perpendicular
I’m
pentagon
I have 5
sides.
I have 5
corners.
I’m
Hexagon
I have 6
sides.
I have 6
corners.
I’m
heptagon
I have 7
sides.
I have 7
corners.
I’m
Octagon
I have 8
sides.
I have 8
corners.
Polygon
Greek: Poly- "many“, -gon "angle"
Regular = sides/angles all equal
Which of these shapes are polygo
Which are regular?
Which are irregular?
Can you name them?
Irregular
Octagon
Irregular
Hexagon
Irregular
Hexagon
Regular
Pentagon
Regular
Decagon
1. 2.
3. 4.
5. 6. 7.
8.
9.
10.
11.
12.
Regular
Octagon Regular
Triangle
Regular
Hexagon
Irregular
Regular
Irregular
Regular
Irregular
Regular
Irregular
Regular
Irregular
Regular
Is this shape regular or irregular?
Regular or
Irregular Regular or
Irregular
Regular or
Irregular
Regular or
Irregular
Regular or
Irregular
Regular or
Irregular
Regular or
Irregular
Regular or
Irregular
Regular or
Irregular
Regular or
Irregular
1 2
3
4
1
2
3
4 Rectangle
1
3
4
1
2
3
4
2
5
5 Pentagon
1
3
4
1
2
3
4
2
5
5
Hexagon
6
6
Cube Cylinder
Square-based
pyramid
Cuboid
triangular-
based pyramid
Triangular-
based prism
hexagonal-
based prism
Pentagonal-
based prism
Square face Circular face
Square and
triangular face
Rectangle and
square face
Triangular
face
Triangle/
rectangle face
Pentagon and
square face
Hexagon and
square face
Faces, Edges and Vertices
Three dimensional
(3D) shapes are
defined by the
number of faces,
edges and vertices
(corners) that they
have.
VERTEX
(plural is vertices)
EDGE
TETRAHEDRON
FACE
TETRAHEDRON
A tetrahedron
or triangular
based pyramid
is a pyramid
with triangular
faces.
Faces
Edges
Vertices
4
6
4
Faces, Edges and Vertices
A square based pyramid
Faces
Edges
Vertices
5
8
5
Faces, Edges and Vertices
Three
dimensional (3D)
shapes are
defined by the
number of
faces, edges
and vertices
(corners) that
they have.
Find the number of faces, edges and vertices for each of
the 3D shapes shown below.
Pentagonal based pyramid
Faces
Edges
Vertices
6
10
6
Hexagonal based pyramid
Faces
Edges
Vertices
7
12
7
Rectangular based pyramid
Face= Base +1
Vertex= Base +1
Edge= Base x 2
Faces
Edges
Vertices
5
8
5
Find the number of faces, edges and vertices for each of
the 3D shapes shown below.
Cube
Hexagonal based prism
Faces
Edges
Vertices
6
12
8
Faces
Edges
Vertices
8
18
12
Pentagonal based prism
Faces
Edges
Vertices
7
15
10
Cuboid or rectangular based prism
Faces
Edges
Vertices
6
12
8
Triangular based prism
Faces
Edges
Vertices
5
9
6
Face= Base + 2
Vertex= Base x 2
Edge= Base x 3
What is
perimeter?
Perimeter is the distance
around a figure.
When would someone need to
find the perimeter of a
figure?
Count the number of sides around the rectangle
1 cm
Perimeter - Distance around the
outside of a shape
3 cm
2 cm
10 cm
3 cm
2 cm
3 cm
3 + 2 + 3 + 2 = 10 cm
Add the sides together
2 cm
What is Area???
Area is the amount of surface that
a figure covers. It is measured in
square units
When would someone need to
find area?
Count the number of squares
1
5
2
4
7
3
6
8 9
9 square units
Area -space inside a shape.
Area= 3 cm x 3 cm
It is made of 3 rows and 3 columns
Multiplyrowsby column
9 squarecm
3 cm
3 cm
Find the area and perimeter of this shape
Area =
1
5
2
4
7
3
6 8
9 11
10 12
Perimeter =
12 Sq cm
16 cm
4 2 2 2 2 4
+ + + + +
VOCABULARY
add up all the sides,
Or count the sides of grids
Use these two methods
To find the perimeter
count the space inside
Or multiply two sides
Use these two methods
To find the area
To the tune of Farmer in the Dell

1.pptx

  • 2.
    Parallel Lines Parallel linesrun alongside each other in pairs They would never meet if they carried on. They are always the same distance apart. An easy way to remember whether lines are parallel is Parallel has parallel l’s in.
  • 3.
    Look at theseshapes. How many pairs of parallel lines can you see in each shape?
  • 4.
    PerpendicuLar What angle isthis? PerpendicuLar lines are pairs of lines that meet at a right angle. They are usually marked by using the right-angle symbol at the point where they meet. An easy way to remember perpendicuLar lines is it ends with an r for right angle. It is in the shape of L
  • 5.
    Two-dimensional Shapes (2D) • Theseshapes are flat and can only be drawn on paper. • They have two dimensions – length and width. • They are sometimes called plane shapes.
  • 6.
    The way wedescribe a shape is by listing its ‘properties’ • NUMBER OF SIDES • For example, a pentagon has 5 sides. • NUMBER OF EDGES (VERTICES) A vertex is the same as a corner, it is where two sides meet. For example, a pentagon has 5 vertices. Properties of 2D shape
  • 7.
    I am a CIRCLE Ihave 1 side. I have 0 vertices.
  • 8.
    I am a triangle. Ihave 3 sides. I have 3 corners.
  • 9.
    QUADRILATERALS We all have4 sides. We have only straight sides and no curved sides We are Closed shape Remember just like a quad bike.
  • 11.
    I am Square.. I have4 sides. I have 4 corners. All my sides are equal Opposite sides are equal
  • 12.
    I am a Rectangle. Ihave 4 sides. I have 4 corners. I have two short sides and two long sides. Opposite sides are equal
  • 13.
    I am a Parallelogram. Ihave 4 sides. I have 4 corners. My opposite sides are equal My opposite angles are equal
  • 14.
    I am a Kite. Ihave 4 sides. I have 4 corners. 2 pairs of equal length sides
  • 15.
    I am a Rhombus. Ihave 4 sides. I have 4 corners. All my sides are equal Opposite angles are equal
  • 16.
    Sides Quadrilateral Sides 1 pair ofparallel sides 2 pairs of parallel sides and opposite sides equal. 2 pairs of parallel sides and 4 perpendicular 2 pairs of parallel sides and 4 perpendicular. 2 pairs of parallel sides. No parallel or perpendicular
  • 17.
  • 18.
  • 19.
  • 20.
  • 21.
    Polygon Greek: Poly- "many“,-gon "angle" Regular = sides/angles all equal Which of these shapes are polygo Which are regular? Which are irregular? Can you name them? Irregular Octagon Irregular Hexagon Irregular Hexagon Regular Pentagon Regular Decagon 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. Regular Octagon Regular Triangle Regular Hexagon
  • 22.
    Irregular Regular Irregular Regular Irregular Regular Irregular Regular Irregular Regular Is this shaperegular or irregular? Regular or Irregular Regular or Irregular Regular or Irregular Regular or Irregular Regular or Irregular Regular or Irregular Regular or Irregular Regular or Irregular Regular or Irregular Regular or Irregular
  • 23.
  • 24.
  • 25.
  • 26.
    Cube Cylinder Square-based pyramid Cuboid triangular- based pyramid Triangular- basedprism hexagonal- based prism Pentagonal- based prism Square face Circular face Square and triangular face Rectangle and square face Triangular face Triangle/ rectangle face Pentagon and square face Hexagon and square face
  • 27.
    Faces, Edges andVertices Three dimensional (3D) shapes are defined by the number of faces, edges and vertices (corners) that they have. VERTEX (plural is vertices) EDGE TETRAHEDRON FACE
  • 28.
    TETRAHEDRON A tetrahedron or triangular basedpyramid is a pyramid with triangular faces. Faces Edges Vertices 4 6 4 Faces, Edges and Vertices
  • 29.
    A square basedpyramid Faces Edges Vertices 5 8 5 Faces, Edges and Vertices Three dimensional (3D) shapes are defined by the number of faces, edges and vertices (corners) that they have.
  • 30.
    Find the numberof faces, edges and vertices for each of the 3D shapes shown below. Pentagonal based pyramid Faces Edges Vertices 6 10 6 Hexagonal based pyramid Faces Edges Vertices 7 12 7 Rectangular based pyramid Face= Base +1 Vertex= Base +1 Edge= Base x 2 Faces Edges Vertices 5 8 5
  • 31.
    Find the numberof faces, edges and vertices for each of the 3D shapes shown below. Cube Hexagonal based prism Faces Edges Vertices 6 12 8 Faces Edges Vertices 8 18 12 Pentagonal based prism Faces Edges Vertices 7 15 10 Cuboid or rectangular based prism Faces Edges Vertices 6 12 8 Triangular based prism Faces Edges Vertices 5 9 6 Face= Base + 2 Vertex= Base x 2 Edge= Base x 3
  • 32.
    What is perimeter? Perimeter isthe distance around a figure. When would someone need to find the perimeter of a figure?
  • 33.
    Count the numberof sides around the rectangle 1 cm Perimeter - Distance around the outside of a shape 3 cm 2 cm 10 cm
  • 34.
    3 cm 2 cm 3cm 3 + 2 + 3 + 2 = 10 cm Add the sides together 2 cm
  • 35.
    What is Area??? Areais the amount of surface that a figure covers. It is measured in square units When would someone need to find area?
  • 36.
    Count the numberof squares 1 5 2 4 7 3 6 8 9 9 square units Area -space inside a shape.
  • 37.
    Area= 3 cmx 3 cm It is made of 3 rows and 3 columns Multiplyrowsby column 9 squarecm 3 cm 3 cm
  • 38.
    Find the areaand perimeter of this shape Area = 1 5 2 4 7 3 6 8 9 11 10 12 Perimeter = 12 Sq cm 16 cm 4 2 2 2 2 4 + + + + +
  • 39.
  • 40.
    add up allthe sides, Or count the sides of grids Use these two methods To find the perimeter count the space inside Or multiply two sides Use these two methods To find the area To the tune of Farmer in the Dell