15.5.17 L.O.: To calculate and compare areas of squares and rectangles using standard units. Success Criteria: I can calculate the perimeter of square.

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Presentation transcript:

15.5.17 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.

AFL q: Complete independently: What is perimeter? How do we calculate the perimeter of a shape?

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

Area of a square S is the side Area= side x side A= s x s

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)

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

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

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

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

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

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

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

Main task: Red: Page 65 independently. Extension: Think q. Yellow/Blue: pg 65 q1-7 ws Green: Page 64 independently

AFL q: Complete independently:

Plenary: What is a polygon? What is a quadrilateral? How would you find their area and perimeter?

I can find the area of an regular compound shape. L.O.: To estimate the area of irregular shapes using standard units. 16.5.17 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.

AFL q: Attempt independently: L.O.: To estimate the area of irregular shapes using standard units. 16.5.17 AFL q: Attempt independently:

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.

Main task 1: Red: q1-6 & think q Yellow/Blue: q 1-6 independently Green: Q1-3 ws 10-15 min.

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. https://www.youtube.com/watch?v=x0NHC0 cmKfU

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

AFL q: Re-attempt independently: Plenary: 16.5.17 AFL q: Re-attempt independently:

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.

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.

40,000 20,000 Litres

40,000 Litres 20,000

Oh No Overflow!!!

Challenge: What is the difference between volume and capacity? TTYP: Mind-map: Volume Capacity Challenge: What is the difference between volume and capacity? https://www.youtube.com/watch?v=GKCE8ohIBqE

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.

Length Length is measured in mm, cm, m or km. 1cm

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

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

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

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

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

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

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

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

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

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)

Ext: Find the edge A cube has a volume of 125cm3 What is the length of one edge? 5cm (5 x 5x 5=125)

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

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

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 = 160 + 300 = 460cm3 4cm 9cm 6cm 10cm

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

Find the volume of this irregular shape. 83cm3 50cm3 Volume = 83 – 50 = 33cm3

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

Plenary: http://www.bbc.co.uk/education/clips/zyc87 ty

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.

Starter: AFL q: Complete independently.

Warm-up: 10 min challenge! Page 72 textbook

How do we solve word problems?

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?

Main task: Worksheet. Decide how confident you feel about measures (capacity, volume, length) and choose your own starting point.

Challenge: Textbook: Page 69 Find the missing lengths and perimeters.

Plenary: TTYP: Which do you think has the greater capacity, the water feature at the Grand mosque or the fountains at Emirates palace?