Correct the following equation so that it makes sense – you can add numbers and operators to it. Challenge: Make the equation make sense by re-arranging the digits – you cannot add anything new! How quickly can you find out what is unusual about this  paragraph? It looks so ordinary that you would think that nothing was wrong with it at all and, in fact, nothing is. But  it is unusual. Why? If you study it and think about it you may  find out, but I am not going to assist you in any way. 79 = 24

This week: Perimeter, Area, Volume Convert units of measure and calculate the area, perimeter and volume of common shapes Calculate perimeter and area of common 2D shapes Name units of measure for area, perimeter and volume Calculate volume of common 3D shapes Calculate area and circumference of circles using π Solve missing number area, perimeter and volume problems

Metric Imperial Length Weight Capacity

Perimeter, area and volume 1cm 1cm2 1cm3 Distance around the outside of a 2D shape Space inside a 2D shape Space inside a 3D shape

Perimeter and Area 3cm 5cm 5+3+5+3 = 16cm 5 x 3 = 15cm² Perimeter is the length around the outside of a shape. Area is the space inside a shape. 3cm 5cm The rectangle has a perimeter of: The rectangle has an area of: 5+3+5+3 = 16cm 5 x 3 = 15cm²

Calculate the perimeter and area of this rectangle… 4cm 6cm Perimeter = Area = 20cm 24cm²

Rectangle: Area = length × width 𝑨=𝒍𝒘 Formulae to remember: Triangle: Area = base × height ÷ 2 𝑨= 𝟏 𝟐 𝒃𝒉 Rectangle: Area = length × width 𝑨=𝒍𝒘 Find the area and perimeter of this rectangle: Area = 8 × 6 Area = 48cm² Perimeter = 8 + 6 + 8 + 6 Perimeter = 28cm Find the area and perimeter of this triangle: Area = 5 × 12 ÷ 2 Area = 60cm² ÷ 2 Area = 30cm² Perimeter = 5 + 13 + 12 Perimeter = 30cm 13cm 6cm 5cm 8cm 12cm

Exam Questions Answer: 35cm² Answer: Area = 88cm² Perimeter = 38cm 7cm Find the area of this triangle: Question 2 Find the perimeter and area of this rectangle: 7cm 11cm 10cm Answer: 35cm² 8cm Answer: Area = 88cm² Perimeter = 38cm

Find the missing lengths ?cm 6cm Area = 48cm² 7cm Area = 21cm² 8cm ?cm 6cm

Calculate the volume of a cuboid A cuboid is a prism, which means that it has the same cross-section all the way through. Find the area of the cross-section then multiply by the length: Volume = Height × Width × Length 𝑉=ℎ𝑤𝑙 Find the volume of this cuboid: Find the volume of this cuboid: Volume = 3 × 5 × 4 Volume = 60cm³ 3cm 8cm 4cm 6cm 5cm 5cm Answer: 240cm³

What is a prism? Hexagonal Prism Cylinder Triangular Prism A prism is a 3D shape that has the same cross-section all the way through. Triangular Prism Hexagonal Prism Cylinder Find the area of the cross-section then multiply by the length. Volume = Area of cross-section × length

Exam Questions Answer: 432cm³ 3cm 8cm 9cm 12cm 8cm Find the volume of this triangular prism: Find the volume of this cylinder: Volume = 𝜋× 3 2 ×8 Volume = 226.2cm³ 3cm 8cm 9cm 12cm 8cm Answer: 432cm³

Circumference Circumference = π × diameter circumference diameter

Examples Circumference = π × diameter Circumference: = π × 4 4cm = 12·57cm (2 d.p.) 8cm Circumference: = π × 16 = 50·27cm (2 d.p.)

Area Area = π × radius × radius = π × radius2 radius area

Example Area = π × radius × radius Area 7cm = π × 7 × 7 = π × 7 × 7 = 153·94cm² (2 d.p.) area 10cm Area = π × 5 × 5 = 78·54cm² (2 d.p.)

Find the circumference and area of this circle: Exam Question Find the circumference and area of this circle: Circumference = π × diameter Circumference = π × 9 = 28·27cm (2 d.p.) 9cm Area = π × radius × radius Area = π × 4·5 × 4·5 = 63·62cm² (2 d.p.)

Find the circumference and area of this circle: Exam Question Find the circumference and area of this circle: Circumference = π × diameter Circumference = π × 12 = 37·70cm (2 d.p.) 6 cm Area = π × radius × radius Area = π × 6 x 6 = 113·10cm² (2 d.p.)

What is the perimeter of this shape? 2.5cm 2.5cm 2 cm 7

What is the area of this shape? 12

3cm What is the area of this shape? 4cm 20