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Lesson Plan – Lesson 6 Surface Area. Starter Activity How many vertices, edges and faces?. 5-Sep-14. Can you name any of these solids?. Today we are learning. I am starting the lesson on level _____________________. By the end of this lesson I want to be able to _____________________. - PowerPoint PPT Presentation
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Lesson Plan – Lesson 6 Surface Area
Mental and Oral StarterPupils to say how many faces, vertices and edges each 3D shape has.
Main ActivityEach member of the group should select a 3D shape to work on and cut it out. Pupils to write down the number of faces, edges and vertices the shape has. Pupils then calculate the surface area of their chosen shape.They then glue the shape onto the group’s A3 paper and write down how they worked it out, checking that the rest of the group agree with their method. Pupils can use the nets provided to work out the surface area of some of the shapes. Support - provide 3D models for the pupils.
Plenary Pupils to reflect on the success criteria.
Objectives and Habits of Mind•To identify edges, faces and vertices (Level 3/ 4)•To find the surface area of a cube (Level 5)•To find the surface area of a cuboid (Level 6)•To find the surface area of 3D shapes from nets. (Level 7)•To work well in a group, listening attentively and taking on different roles when needed.•To negotiate and follow ground rules, to ensure fairness and cooperation when working with others.
Keywords Face, Surface Area, Vertex, Edge,
LO To find the surface area of 3D shapes
RAG
Key Words: Face, Edge, Vertex, Surface Area
Can you name any of these solids?
Starter ActivityHow many vertices, edges and faces?
21 Apr 2023
Level 3/4 5 6 7 /8ShapeSpaceMeasure
I can identify edges, faces and vertices
I can find the surface area of a cube
I can find the surface area of a cuboid.
I can calculate volumes and surface area of cylinders.
Today we are learning
I am starting the lesson on level _____________________
By the end of this lesson I want to be able to _____________________
Starter ActivityHow many vertices, edges and faces?
Starter ActivityHow many vertices, edges and faces?
How can we find the surface area of a cube of length 4cm?
Surface area of a cube
4
All six faces of a cube have the same area.
The area of each face is 4 × 4 = 16
Therefore,
Surface area of a cube = 16 x 6 = 96cm2
To find the surface area of a cuboid, we calculate the total area of all of the faces.
A cuboid has 6 faces.
The top and the bottom of the cuboid have the same area.
Surface area of a cuboid
The sides of the cuboid have the same area.
The front and the back of the cuboid have the same area.
Surface area of a cuboid =
6
84
2 × (8 × 4) Top and bottom
+ 2 × (6 × 8) Front and back
Surface area of a cuboid = (2×32) + (2×48) + (2×24)Surface area of a cuboid = (2×32) + (2×48) + (2×24)
Here is the net of a triangular based pyramid (tetrahedron.)
Working out surface are from nets.
What is its surface area?
6 cm
5.2 cm
Area of each face = ½bh
= ½ × 6 × 5.2
= 15.6 cm2
Surface area = 4 × 15.6
= 62.4 cm2
Here is the net of a triangular prism.
What is its surface area?
We can work out the area of each face and write it in the diagram of the net.
10 cm
12 cm
13 cm
20 cm
60 60200
260
260
Then add each area together to get the total surface area
= 60 + 60 + 200 + 260 + 260
= 840 cm2
Here is the net of a Surface area of a cylinder
5
3
?Circumference
To find the surface area find the area of the rectangle and the area of the circles and add them together.
The rectangles wraps around the circles so the length of the rectangle is the same as the circumference of the circles.
Today’s Task
In your groups
Each member of the group should select a 3D shape to work on and cut it out.
Write down the number of faces, edges and vertices the shape has.
Find the surface area of the shape.
Glue the shape onto the group’s A3 paper and write down how you worked it out. The rest of your group must agree with your method.
Cubes
4cm
3cm
4cm
6cm
4.5m
5m
3m
Triangular Prism
10cm6cm
4cm
5cm
30m
Square Based Pyramid
30m
2m
12m
Cuboid
Cylinder
37m
5m
2m
Cuboids
10cm
5cm
6cm
4cm
6m
3m
4m
12m
2m
30cm
30cm
Find the surface area of a ...........
Work out the area of each face.
Your working out will go in here.
Your answer in cm2
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