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

1.

2.

3.

4.

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?

Out of 800 soldiers who went battle, only 176 would return without injury. What percentage came back uninjured?

English troops outnumber the Welsh by 3:1.

If there are 9000 Welsh troops, how many English will there be?

It took St. George 40mins to prepare, 1hr 20mins to ride to battle & 1.25hrs

to slay the dragon. The total duration is?

Answers 1.

1.3m

2.

3.

4.

22% 27,000 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

c) 3.1 x 4.9 = 15.19

Applying this skill

• The shape of the jousting field is rectangular. It measures 9.8m

22.5m

wide and long. What is its area?

220.5m²

Applying this skill

• The rectangular banquet hall needs new floor wood panels. It measures 28m and 9.42m

long 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

• Confident?

Try Skillswise worksheet 1

OR

Independent activity

• 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 2.8m

of 5m and a height of 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 o f 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 6 cm 72cm² 8 cm

Area of Compound Shape

• This is the draw bridge from the castle. What is its area?

• Area of rectangle 4 x 6.2 = 24.8

6.2m

• • Area of circle r² = 2 x 2 = 4 π r² = 3.14 x 4= 12.56

4m • 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).