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L.O.: To calculate and compare areas of squares and rectangles using standard units. Success Criteria: I can calculate the perimeter of square and rectangles. I can calculate the area of squares and rectangles. I can compare areas of squares and rectangles using standard units.
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AFL q: Complete independently:
What is perimeter? How do we calculate the perimeter of a shape?
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What is area? The amount of space that a figure encloses
The number of square units that covers a shape or figure. It is two-dimensional It is always answered in square units
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Area of a square S is the side Area= side x side A= s x s
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Area of a rectangle b is the base(w is the width)
h is the height(l is the height) Area= base x height (length x width) A= b x h (l x w)
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Find the area of a square using the formula
To find the area of a square, multiply the side x side Area = side x side Area = 3 m x 3 m The area is 9 m2 3 m 3 m
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Find the area of the rectangle using the formula
To find the area of a rectangle, multiply the base x height. Area= base x height The base= 6 m The height=2 m Area=6 m x 2 m The area is 12 m2 2 m 6 m
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What is the area of this figure?
It is a square Formula for the area of a square is side x side Side= 17 m Area= 17 m x 17 m A= 289 m2 17 m. 17 m
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What is the area of this figure?
It is a rectangle Formula for the area of a rectangle is length x width Length= 8m Width= 3 m Area= 8 m x 3 m A=24 m2 8 m 3 m
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What is the area of this figure?
It is a square Formula for the area of a square is side x side Side= 12 cm Area= 12 cm x 12 cm A= 124cm2 12 cm 12 cm
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What is the area of this figure?
It is a rectangle Formula for the area of a rectangle is length x width Length= 13 cm Width= 4 cm Area= 13 cm x 4 cm A= 52 cm2 13 cm 4 cm
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What is the area of this figure?
7 cm It is a rectangle Formula for the area of a rectangle is length x width Length= 16 cm Width= 7 cm Area= 16 cm x 7 cm A= 112 cm2 16 cm
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Main task: Red: Page 65 independently. Extension: Think q.
Yellow/Blue: pg 65 q1-7 ws Green: Page 64 independently
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AFL q: Complete independently:
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Plenary: What is a polygon? What is a quadrilateral?
How would you find their area and perimeter?
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I can find the area of an regular compound shape.
L.O.: To estimate the area of irregular shapes using standard units Success Criteria: I can find the area of an regular compound shape. I can find the area and perimeter of a regular compound shape. I can find the area of an irregular shape using non-standard units.
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AFL q: Attempt independently:
L.O.: To estimate the area of irregular shapes using standard units AFL q: Attempt independently:
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Revision discussion: What is area?
What was the formula for finding the area of a square and a rectangle? Today we will be finding the area of irregular shapes. Open page 66: Let’s try q 4 and 5 together. Now work in pairs to complete q 6 and 7.
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Main task 1: Red: q1-6 & think q Yellow/Blue: q 1-6 independently
Green: Q1-3 ws 10-15 min.
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L.O.: To estimate the area of irregular shapes using standard units
Watch clip on how to calculate area of irregular shapes using square paper. cmKfU
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Irregular shapes main task 2: Page 66 Q 1-3
Red: Complete independently. Extension: Use square paper to estimate the area of their hand. Yellow/Blue: Attempt independently. Green: ws
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AFL q: Re-attempt independently:
Plenary: AFL q: Re-attempt independently:
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L. O. : To recognise and estimate volume and capacity using ccs and ml
Success Criteria: I understand that 1cm3 is the same as 1ml. I can find the volume and capacity of a container. I can estimate and order containers based on their capacity.
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L. O. : To recognise and estimate volume and capacity using ccs and ml
Starter: I have a swimming pool which has a capacity of 40,000 litres – it is half full, so has 20,000 litres of water in it. I put an elephant in the swimming pool whose volume is 5000 litres. What is the new volume in the swimming pool? How many elephants can I fit in the swimming pool before it overflows.
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40,000 20,000 Litres
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40,000 Litres 20,000
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Oh No Overflow!!!
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Challenge: What is the difference between volume and capacity?
TTYP: Mind-map: Volume Capacity Challenge: What is the difference between volume and capacity?
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The difference between volume and capacity:
Capacity: The amount of liquid a container is capable of holding. Volume: How much liquid is actually in a container.
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Length Length is measured in mm, cm, m or km. 1cm
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Area Area is measured in mm2 , cm2, m2 or km2 3cm 1cm2 8cm
Area = length x width Area = 8 x 3 = 24 cm2 1cm 1cm 1cm2
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Volume Volume = length x width x height Volume = 4 x 4 x 4 = 64cm3 1cm
Volume is measured in mm3, cm3, m3 or km3 Why do you think this is? Volume = length x width x height Volume = 4 x 4 x 4 = 64cm3 4cm 4cm 4cm 1cm 1cm 1cm 1cm3
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Find the volume of these cuboids
10cm 6cm 4cm 3cm 2cm 2cm V = l x w x h V = 6 x 3 x 2 = 36cm3 V = l x w x h V = 10 x 4 x 2 = 80cm3
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Find the volume of these shapes
8cm 4cm 5cm 5cm 5cm 2cm V = l x w x h V = 8 x 2 x 5 = 80cm3 V = l x w x h V = 5 x 4 x 5 = 100cm3
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INVESTIGATION: What could be the measurements of this cuboid?
The length, width and height of a cuboid are all whole numbers of cm. Its volume is 48cm3. How many different sets of dimensions can you find? 12 x 4 x 1 8 x 6 x 1 8 x 3 x 2 6 x 4 x 2 4 x 4 x 3 48 x 1 x 1 24 x 2 x 1 16 x 3 x 1 12 x 2 x 2
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What could be the measurements of this cuboid?
The length, width and height of a cuboid are all whole numbers of cm. Its volume is 72cm3. How many different sets of dimensions can you find? 12 x 3 x 2 9 x 8 x 1 9 x 4 x 2 8 x 3 x 3
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Main task: Red: Page 70 and 71 independently.
Extension: Following ppt slides. Blue: pg 70 and pg 71 (q 1-3) Yellow: Pg 70 Green: Pg 70 ws
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Ext: Find the missing lengths
?cm ?cm 2cm Volume =36cm3 Volume =70cm3 5cm 2cm V = l x w x h 36= l x 2 x 2 36 = l x 4 l =9cm V = l x w x h 70 = l x 2 x 5 70 = l x 10 l = 7cm 2cm
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Ext: Find the missing lengths
Volume =72cm3 ?cm ?cm 5cm Volume =140cm3 9cm 4cm 2cm V = l x w x h 140= l x 5 x 4 140 = l x 20 l =7cm V = l x w x h 72 = l x 2 x 9 72 = l x 18 l = 4cm
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Ext: Find the edge A cube has a volume of 64cm3.
What is the length of one edge? 4cm (4 x 4 x 4=64)
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Ext: Find the edge A cube has a volume of 125cm3
What is the length of one edge? 5cm (5 x 5x 5=125)
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Ext: Find the volume From the areas of the faces, work out the length, width & height. Then calculate the volume. 10 x 3 x 2 = 60cm3 30cm2 6cm2 20cm2
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Challenge: Find the volume
From the areas of the faces, work out the length, width & height. Then calculate the volume. 40cm2 8 x 5 x 4 = 160cm3 20cm2 32cm2
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Finding the volume of compound shapes.
Split up the shape first. 4cm 10cm 6cm 5cm 4cm V = l x w x h v= 10 x 4 x 4=160cm3 v= 10 x 5 x 6=300cm3 Total volume = = 460cm3 4cm 9cm 6cm 10cm
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Finding the volume of irregular shapes.
Part fill a measuring cylinder. Measure the water. Lower object into the water Measure new level. Volume = 70 – 50 = 20cm3 70cm3 50cm3
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Find the volume of this irregular shape.
83cm3 50cm3 Volume = 83 – 50 = 33cm3
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Find the volume of this irregular shape.
The container below is ⅓ filled with water. An object is lowered into the water and the container is now ½ full. What is the volume of the object? 6cm 5cm 10cm Volume = 150 – 100 = 50cm3
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Plenary: ty
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L.O.: To use knowledge of measurement to solve problems. 18.5.17
Success criteria: I understand length word problems only. I can use RUCSAC to solve some measures word problems. I can use RUCSAC to solve all measures word problems.
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Starter: AFL q: Complete independently.
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Warm-up: 10 min challenge! Page 72 textbook
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How do we solve word problems?
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Let’s try this one together…
Khaled wants to fill a bucket with water. A bucket holds 6 litres. A jug holds 500 millilitres. How many jugs of water does Khaled need to fill an empty bucket? How would I begin to solve this problem?
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Main task: Worksheet. Decide how confident you feel about measures (capacity, volume, length) and choose your own starting point.
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Challenge: Textbook: Page 69 Find the missing lengths and perimeters.
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Plenary: TTYP: Which do you think has the greater capacity, the water feature at the Grand mosque or the fountains at Emirates palace?
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