S2 (2.5) Length and Area.notebook March 08, 2017

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1 Daily Practice Q Q x 9 Q x 100 Q (Getting Colder!) Q3. Round 178 to the nearest 100 Q Q4. State all the factors of 18 and 12 Q Q5. 6 x 5-1 Q5. Round to the nearest unit Q1. Round 7166 to the nearest thousand Today we will be learning about units of measurement. Q (Moving the digits) Q3. 43 x 50 (Remember 43 x 50 is the same as 43 x 5 x 10) Q (Write as a chimney sum) Q (Getting warmer) Length (Metric Units) Unit of length What would you measure using it Today we will be continuing to learn about units of length and will be doing some measuring.

2 Length (Metric Units) State the unit of measurement that you would use to measure the following: 1. Distance from Edinburgh to Balerno 2. Your height 3. Length of a room 4. Width of a book 5. Distance from North Scotland to Southern England Pairs: 1. Rhys and Chloe 2. Nicole and Zoe 3. Rachel and Michael 4. Darren and Connor 5. Derek and Brooke 6. Angus and Charlie Daily Practice Q1. Round to the nearest hundred Q Q3. 15 x 60 Today we will be continuing to learn about length. Q Q (-3) Length Conversions (Metric) There are millimetres in 1 centimetre. There are centimetres in 1 metre. There are metres in 1 kilometre. Length Conversions Examples: 1. Convert 60mm to cm 2. Convert 170cm to metres To turn: mm to cm -> 10 cm to m -> 100 m to km -> 1000 cm to mm -> x 10 m to cm -> x 100 km to m -> x Convert 8500m to km

3 Daily Practice Q x 5 Q2. Simplify 8v + 2v + 3v - v Q3. How many millimetres are in a centimetre? Today we will be continuing to learn how to convert units of length. Q4. Round 81.5 to the nearest unit Q5. Multiply out 2(c + 4) How many millimetres are in 1 centimetre? Centimetres into Millimetres How many mm are in: (a) 2cm (b) 3cm (c) 4.5cm (d) 10cm (e) 7cm (f) 10.5cm (g) 23cm Millimetres into Centimetres (a) 10mm = cm (b) 20mm (c) 55mm (d) 120mm (e) 80mm (f) 150mm (g) 12mm (h) 550mm

4 Daily Practice Questions Mental Maths Today we will be continuing to practise length conversions. Metres into centimetres Centimetres into Metres x How many centimetres are in: (a) 2m (b) 4m (c) 5.5m (d) 10m How many metres are each of the following? (a) 200cm (b) 500cm (c) 450cm (d) 70cm (e) 17m (f) 11.5m (g) 85m (e) 1800cm (f) 140cm (g) 9000cm (h) 208cm Kilometres into Metres Metres into Kilometres x How many metres are in: (a) 3km (b) 7km (c) 56km (d) 2.5km How many kilometres is: (a) 3000m (b) 14000m (c) 3600m (d) 400m (e) 17km (f) 9.5km (g) 0.4km (h) 0.02km (e) m (f) 1950m (g) 320m (h) 2002m

5 Length Conversions Derek 152cm Are you a square or a rectangle? Questions: Convert the following (a) 300cm to metres (b) 4000m into kilometres (f) 304cm to metres (b) 8560m into kilometres Chloe 166cm Michael 148cm Rhys 148cm Nicole 152cm Douglas 154cm Darren 16 Rachel 155cm Connor 15 Measure the length from the longest finger on your left hand to the longest on your right. Then compare with your height. (c) 50mm into centimetres (c) 600mm into centimetres Zoe 153cm Brooke 161cm (d) 450cm into metres (d) 50cm into metres Tiegan Miss Deely 16 (e) 63mm into centimetres (e) 7mm into centimetres Length The Imperial system is an older system of measurement that is still in use in the UK. 2 x x x 1 5 x x x x Imperial Units of Length - Inches, feet, yards, miles. 1 foot = 12 inches 1 yard = 3 feet 1 mile = 1760 yards 5 x x x x x 4 Daily Practice Q1. 45 x 100 Q5. 34 x 20 Q x 5 Today we will be learning about perimeter. Q3. Write 0.04 as a fraction Q4. How many centimetres are in 3 metres?

6 Perimeter The perimeter of a shape is the total length around the outside of it. Examples: Calculate the perimeter (a) 2.2cm 5.8cm (b) Today we will be continuing to learn about perimeter. Example: Finding the missing side given the perimeter is 10.25cm Q Daily Practice x cm 4.8cm Q2. 35 x 40 Q cm Q4. What is the perimeter of this triangle? 12cm Q cm Today we will be learning how to calculate the area of squares rectangles.

7 Area of squares & rectangles The area of a 2D shape is the amount of space contained within its boundaries. 1cm 1cm Area of squares & rectangles Write down the area of each of the following (a) (b) = 1cm 2 = 1cm 2 (c) (d) (e) Daily Practice Questions Mental Maths Today we will be continuing to learn about Area. Daily Practice Today we will be continuing to learn about Area.

8 Area of squares & rectangles How many ways can you get an area of 24cm 2? Area of squares & rectangles On your squared paper, using a ruler, draw as many squares/ rectangles that you can that have the following areas: (i) 12cm 2 (ii) 25cm 2 (iii) 40cm 2 (iv) 48cm 2 Remember: 1 square = 1cm 2 Q1. Round 882 to the nearest hundred Q x 100 Q3. How many cm are in 3 metres? Today we will be continuing to learn about area. Q4. Convert 5cm to millimetres Q5. What is the perimeter of this rectangle? 5cm Area of squares & rectangles What is the area of the square below? Area of squares & rectangles Length 5cm Breadth 5cm Area = Length x Breadth What is the area of the rectangle below? 6cm 10cm

9 Area of rectangles Examples: Calculate the area of the shapes below (a) 12cm (b) 8cm 5cm Q1. Round 71.6 to the nearest unit Q2. -3 x 4 Q x 5 Q4. Calculate the perimeter of this triangle Q x mm 16.3mm 13.25mm Starter Tarsia Puzzle - Match up the sides of the triangles correctly to make a complete shape. For example: Today we will be learning how to calculate the area of a triangle.

10 Area of a triangle B B Daily Practice L L Finding the area of a triangle is similar to finding the area of a rectangle, but half your answer. Pass the Bomb - Times Tables Instead of using length and breadth, we use length of base and height. Zoe Rhys Chloe Nicole DouglasDarren Rachel Derek Angus Connor Tiegan Michael Brooke Today we will be continuing to learn how to calculate the area of triangles. Area of a triangle height base b h Area of a triangle Examples: Calculate the area of the following 1. 12cm 6cm Area of a Triangle = 1 / 2 (base x height) cm 8cm

11 Q x 9 Q Q3. Write 5km in metres Today we will be continuing to learn how to calculate the area of triangles. Q4. Write 2.59metres in centimetres Q Area of a triangle Examples: Calculate the area of the following Starter cm Area and Perimeter Tarsia. 6cm Cut out and match up the triangular pieces to make a completed hexagon cm 8cm Daily Practice Today we will be continuing to learn how to calculate the area of triangles. Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q Q

12 Area of composite shapes A composite shape is a shape made from 2 or more shapes. Split the shape into rectangles and find the area of each. Today we will be learning how to calculate the area of composite shapes. Example: Calculate the area 8cm 8cm 7cm Daily Practice Area of composite shapes Example: Calculate the total area 3cm 2cm Pass the Bomb - Times Tables 10cm 1cm 4cm 8cm Daily Practice Rachel Michael Angus Nicole Rhys Derek Connor Q1. How many hours are in 3 days? Q2. How many cm are in 4.5metres? Q3. What time is written on the clock? Q4. Jenny spends 2.58 in the shop, she hands the shopkeeper 5, how much change does she get?

13 Today we will be continuing to learn how to calculate the area of composite shapes. Daily Practice Questions Mental Maths Today we will be finishing off the area questions.

14 Q x 5 (Write as a sum) Q (Write as a sum) Q3. How many centimetres is 27mm? Today we will be revising over how to get the area of a triangle and using this information to work out the area of a Rhombus. Q4. -4 x 5 10cm Q5. Calculate the area of this rectangle 4cm 10cm How do you find the area of a rectangle? 6cm What is the area of this rectangle?

15 Daily Practice Q1. 4 x -5 Q Q3. Simplify 4x + 2y + 3x + y Today we will be continuing to work out the area of a rhombus and a kite. Q x 100 Q Daily Practice 20 Questions Mental Maths 8cm What is the area of this triangle? 10cm Area of a Rhombus A rhombus is a type of quadrilateral. Q Daily Practice It has: - 4 equal sides - 2 pairs of equal angles - Looks like a squished square! Q2. List any three factors of 24 Q3. Round to 1 decimal place Q x 50 Q5. Multiply out 3(2x + 4)

16 Today we will be continuing to learn how to find the area of a rhombus and a kite. Area of a Rhombus Area of composite shapes What shapes can we make from a Rhombus? How could we calculate the area of the Rhombus? 12cm 20cm Area of composite shapes The area of a Kite Calculate the area of the following: 3cm 5cm 5cm 12cm 5cm 3cm 15cm 7cm 10cm

17 Daily Practice Q1. -3 x 5 Q2. Multiply out 3(m + 5) Q x 30 Q Q Today we will be completing a Zoo Task to consolidate our knowledge of area. Designing a Zoo Giraffes Penguins need an area need an area of 125cm 2 of 36cm 2 Zebras need an area of 60cm 2 Monkeys need an area of 60cm 2 Scale: 1cm = 1m Tigers need a perimeter of 100cm The Rhino needs a perimeter of 80cm

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