St George’s Day
April 2011. Kindly contributed by Mark Sergison, Dudley College.
Search for Mark on www.skillsworkshop.org
This PPT was originally written for a 2.5 hour revision class.
Alternative, shortened versions for 1hr and 1.5hr lessons are also available on
skillsworkshop.
Curriculum links
Covers many aspects of Level 1 and Level 2 Functional Mathematics and adult numeracy
including decimals, multiplication, and area of rectangles, triangles, circles and compound
shapes. Please refer to the download page for this resource on skillsworkshop.org for
detailed curriculum links and related resources.
The PPT includes mentions of other external sites / resources such as BBC Skillswise, BKSB
and BBC Bitesize. Direct links are not provided so the tutor should read through and
research these (or edit to include their own worksheets, etc.) before using this PPT.
St. George’s Day
Warm-up Quiz
The lengths of St. George’s swords were: 1.8m,
1.4m, 0.95m, 1.05m, 1.3m, 1.3m. What was the
mean length of his swords?
2. Out of 800 soldiers who went battle, only 176
would return without injury. What percentage
came back uninjured?
3. English troops outnumber the Welsh by 3:1. If
there are 9000 Welsh troops, how many English
will there be?
4. It took St. George 40mins to prepare, 1hr 20mins
to ride to battle & 1.25hrs to slay the dragon. The
total duration is?
1.
Answers
1. 1.3m
2. 22%
3. 27,000
4. 3 ¼ hrs
Lesson Objective
Calculate the area of shapes.
Lesson Outcomes
• Correctly multiply decimals to calculate the area of at least 5
rectangles (all).
• Correctly substitute numbers in a formula to calculate the area
of at least 5 circles (most).
• Correctly combine the areas of 2 shapes to calculate the area
of at least 5 compound shapes (some).
Area of Rectangles
Underpinning skill = multiply pairs of
numbers, particularly decimals:
a) 2.8 x 46 =
128.8
b) 115 x 2.7 =
310.5
3.1 x 4.9 =
15.19
c)
Applying this skill
• The shape of the jousting
field is rectangular. It
measures 9.8m wide and
22.5m long. What is its area?
220.5m²
Applying this skill
• The rectangular banquet hall
needs new floor wood
panels. It measures 28m long
and 9.42m wide. What is it’s
area?
263.76m²
Developing the skill.
• St. George wants a flag
made so he can wave it
after slaying the dragon.
He wants it to be 2.3m
long and 80cm high. What
will its area be?
1.84m² OR 18,400cm²
Developing the skill.
• A piece of fabric is needed to
depict the story of St. George
and the dragon. It is 45cm
long and 380mm wide. What
will its area be?
1710cm²
OR
171,000mm²
Independent activity
Confident?
• Try Skillswise worksheet 1
OR
Need a bit more Practice?
• Try bksb Exercise 2 sheet
Computer Activity
• Skillswise Area of
Rectangles quizzes.
• Make a note of your
scores on your lesson
session sheet.
When You Finish...
• Field with area of 60m². What could its dimensions be?
• What if its area was 24m²?
Formula
• The area for a rectangle can
be written as a formula:
Area of rectangle = LW
• The area of a circle is
calculated using this formula:
Area of circle = π r²
π = value of 3.14
r = radius
² = squared means the value
multiplied by itself
Area of circle
• What is the area of this cart’s
wheel? It has a radius of
5cm.
78.5cm²
Area of a circle
• Medieval plates have an
18cm diameter. What is
their area?
254.34cm²
Area of a Triangle - formula
Area of a triangle = ½ b h
• What is the area of one face
of the canopy roof? It has a
base of 5m and a height of
2.8m
7m²
Area of a triangle
• The boat needs a new sail.
The mast is 4.2m high and
the boom is 2.3m long. What
size material is needed to
create a sail for this boat?
4.83m²
15 min Break
Recap
• What is the formula for the area of a rectangle?
Area of Rectangle = L W
• What is the formula for the area of a circle?
Area of Circle = π r²
• What is the formula for the area of a triangle?
Area of Triangle = ½ b h
Compound Shapes
What is a
‘compound shape’?
Area of a compound shape
• This is the plan view of St.
George’s bedroom. What is
the area of the room?
11 cm
72cm²
2 cm
6 cm
8 cm
Area of Compound Shape
• This is the draw bridge
from the castle. What is
its area?
6.2m
4m
Area of rectangle
• 4 x 6.2 = 24.8
Area of circle
• r² = 2 x 2 = 4
• π r² = 3.14 x 4= 12.56
Area of semi-circle
• 12.56 ÷ 2 = 6.28
24.8 + 6.28 = 31.08m²
Independent Activity
Start
• Compound Shapes sheet.
Practical – use a ruler.
When You Finish...
• Perimeter & Area exercise
sheets. Applying all skills to
solve problems.
Computer Activity
• Bitesize – Area Test Bite
quiz.
• Make a note of your scores
on your lesson Area Session
sheet.
Lesson Objective
Calculate the area of shapes.
Lesson Outcomes
• Correctly multiply decimals to calculate the area of at least 5
rectangles (all).
• Correctly substitute numbers in a formula to calculate the area
of at least 5 circles (most).
• Correctly combine the areas of 2 shapes to calculate the area
of at least 5 compound shapes (some).