S2 (2.5) Length and Area.notebook March 08, 2017€¦ · S2 (2.5) Length and Area.notebook March 08, 2017 How many ways can you get an area of 24cm 2? Area of squares & rectangles

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

Q1. 457

Q2. -7 - 3 (Getting Colder!)

Q3. Round 178 to the nearest 100

Q4. 350 ÷ 100 Q5. 6 x 5 - 1

- 210

Daily Practice 17.5.2016

Q1. 265 x 9 Q2. 23.4 x 100

Q3. -5 + 16 Q4. State all the factors of

18 and 12

Q5. Round 78.99 to the nearest unit

Today we will be learning about units of

measurement.

Q1. Round 7166 to the nearest thousand

Q2. 140 ÷ 100 (Moving the digits)

Q3. 43 x 50 (Remember 43 x 50 is the same as 43 x 5 x 10)

Q4. 2.25 + 1.78 (Write as a chimney sum)

Q5. -5 + 16 (Getting warmer)

Today we will be continuing to learn about units

of length and will be doing some measuring.

Length (Metric Units) 16.5.2016

Unit of length What would you measure using it


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


Q1. Round 80133 to the nearest hundred

Q2. 250 ÷ 1000

Q3. 15 x 60

Q4. 32.25 + 1.78

Q5. 4 - (-3)

Today we will be continuing to learn about length.

Length Conversions (Metric)There are ____ millimetres in 1 centimetre.

There are ____ centimetres in 1 metre.

There are ____ metres in 1 kilometre.

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 1000

Length Conversions

Examples:

1. Convert 60mm to cm 2. Convert 170cm to metres

3. Convert 8500m to km



Q1. 7 + 3 x 5

Q2. Simplify 8v + 2v + 3v - v

Q3. How many millimetres are in a centimetre?


Q5. Multiply out 2(c + 4)

Today we will be continuing to learn how to

convert units of length.

How many millimetres are in 1 centimetre?

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

0 1 2 3 4 5

0°

Centimetres into Millimetres

How many mm are in:

(a) 2cm (b) 3cm (c) 4.5cm (d) 10cm

(e) 7cm (f) 10.5cm (g) 23cm

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

0 1 2 3 4 5

0°

Millimetres into Centimetres

(a) 10mm = ____cm (b) 20mm (c) 55mm (d) 120mm

(e) 80mm (f) 150mm (g) 12mm (h) 550mm

÷ 10

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14

0 1 2 3 4 5

0°



20 Questions Mental MathsToday we will be continuing to practise length

conversions.

x 100

How many centimetres are in:

(a) 2m (b) 4m (c) 5.5m (d) 10m

(e) 17m (f) 11.5m (g) 85m

Metres into centimetres

÷ 100

How many metres are each of the following?

(a) 200cm (b) 500cm (c) 450cm (d) 70cm

(e) 1800cm (f) 140cm (g) 9000cm (h) 208cm

Centimetres into Metres

How many metres are in:

(a) 3km (b) 7km (c) 56km (d) 2.5km

(e) 17km (f) 9.5km (g) 0.4km (h) 0.02km

x 1000

Kilometres into Metres

How many kilometres is:

(a) 3000m (b) 14000m (c) 3600m (d) 400m

(e) 170000m (f) 1950m (g) 320m (h) 2002m

÷ 1000

Metres into Kilometres


Length Conversions

Questions: Convert the following

(a) 300cm to metres

(b) 4000m into kilometres

(c) 50mm into centimetres

(d) 450cm into metres

(e) 63mm into centimetres

(f) 304cm to metres

(b) 8560m into kilometres

(c) 600mm into centimetres

(d) 50cm into metres

(e) 7mm into centimetres

Derek 152cm

Chloe 166cm

Michael 148cm

Rhys 148cm

Nicole 152cm

Douglas 154cm

Darren 169cm

Rachel 155cm

Connor 159cm

Zoe 153cm

Brooke 161cm

Tiegan

Miss Deely 169cm

Are you a square or a rectangle?

Measure the length from the longest finger on your left hand to the longest on your right. Then compare with your height.

2 x 3 5 + 318 - 10 2 x 3 12 - 4 8 x 1 5 x 2 + 2 9 - 3

54 ÷ 7 2 x 4 9 + 2 24 - 12 2 x 3

19 - 6 8 x 3 16 ÷ 2 28 ÷ 7 11 + 7

5 x 2 6 + 2 36 ÷ 4 36 ÷ 3 29 - 12

6 x 3 3 + 5 x 1 16 - 2 x 2 64 ÷ 8 4 x 4

Length

The Imperial system is an older system of measurement that is still in use in the UK.

Imperial Units of Length - Inches, feet, yards, miles.

1 foot = 12 inches

1 yard = 3 feet

1 mile = 1760 yards


Q1. 45 x 100 Q5. 34 x 20

Q2. 6 - 2 x 5

Q3. Write 0.04 as a fraction

Q4. How many centimetres are in 3 metres?

Today we will be learning about perimeter.


Perimeter

The perimeter of a shape is the total length around the outside of it.

Examples: Calculate the perimeter

(a) (b) 5.8cm

2.2cm

9cm

9cm

9cm9cm

9cm

9cmToday we will be continuing to learn about perimeter.

Example: Finding the missing side given the perimeter is 10.25cm

4.8cm

2.35cm

x cm


Q1. 1055 - 724

Q2. 35 x 40

Q3. 36.77 - 7

Q4. What is the perimeter of this triangle?

Q5. - 5 + 17

12cm

8cm

9cm

Today we will be learning how to calculate the

area of squares rectangles.


Area of squares & rectangles

The area of a 2D shape is the amount of space contained within its boundaries.

1cm1cm

= 1cm2

= 1cm2


Write down the area of each of the following

(a) (b)

(c) (d)

(e)


20 Questions Mental MathsToday we will be continuing to learn about Area.


Today we will be continuing to learn about Area.


How many ways can you get an area of 24cm2 ?


On your squared paper, using a ruler, draw as many squares/rectangles that you can that have the following areas:

(i) 12cm2 (ii) 25cm2 (iii) 40cm2 (iv) 48cm2


Remember: 1 square = 1cm2

Q1. Round 882 to the nearest hundred

Q2. 54.23 x 100

Q3. How many cm are in 3 metres?

Q4. Convert 5cm to millimetres

Q5. What is the perimeter of this rectangle?

9cm

5cm

Today we will be continuing to learn about area.


What is the area of the square below?

5cm

5cm

What is the area of the rectangle below?

6cm

10cm

Length

Breadth

Area = Length x Breadth



Area of rectangles

Examples: Calculate the area of the shapes below

12cm

5cm

8cm(a) (b)


Q2. -3 x 4

Q3. 4 - 2 x 5

Q4. Calculate the perimeter of this triangle

Q5. 65.7 x 80013.25mm

16.3mm14mm

Starter 14.6.2016

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.


Area of a triangle

L

B

L

B

Finding the area of a triangle is similar to finding the area of a rectangle, but half your answer.

Instead of using length and breadth, we use length of base and height.


Pass the Bomb - Times Tables

Zoe Rhys Chloe Nicole DouglasDarren

Derek BrookeMichaelAngus Connor Tiegan

Rachel

Today we will be continuing to learn how to calculate the area of triangles.

Area of a triangle

Area of a Triangle = 1/2 (base x height)

base

heighth

b

Area of a triangle

6cm

12cm

Examples: Calculate the area of the following

1.

2. 5.5cm

8cm


Q1. 3127 x 9

Q2. 3344 ÷ 5

Q3. Write 5km in metres

Q4. Write 2.59metres in centimetres

Q5. -5 + 17

Today we will be continuing to learn how to calculate the

area of triangles.

Area of a triangle

6cm

12cm

Examples: Calculate the area of the following

1.

2. 5.5cm

8cm

Starter 20.6.2016

Area and Perimeter Tarsia.

Cut out and match up the triangular pieces to make a completed hexagon.


area of triangles.


Q1. 6 + 11

Q2. 13 + 15

Q3. 14 + 8

Q4. 59 + 20

Q5. 27 + 21

Q6. 70 + 80

Q7. 105 + 14

Q8. 38 + 22

Q9. 51 + 49

Q10. 13 + 4 + 10

Q11. 19 + 11 + 20

Q12. 100 + 200 + 500

Q13. 1000 + 3000 + 7000

Q14. 50 + 40 + 10

Q15. 38 + 53 + 17

Q16. 2.5 + 3.5 + 4


Today we will be learning how to calculate the area of

composite shapes.

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.

Example: Calculate the area

8cm

8cm

7cm

9cm


Pass the Bomb - Times Tables10cm

3cm2cm

8cm1cm

4cm

Example: Calculate the total area



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?

10

12

Rachel Michael Angus Nicole Rhys Derek Connor



area of composite shapes.


20 Questions Mental Maths

10

12

Today we will be finishing off the area questions.


10

12

10

12

Q1. 342 x 5 (Write as a sum)

Q2. 31.47 - 7.51 (Write as a sum)

Q3. How many centimetres is 27mm?

Q4. -4 x 5

Q5. Calculate the area of this rectangle4cm

10cm

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.

How do you find the area of a rectangle? What is the area of this rectangle?

10cm

6cm



Q1. 4 x -5

Q2. 6 - 7

Q3. Simplify 4x + 2y + 3x + y

Q4. 3.8 x 100 Q5. 967 - 238

Today we will be continuing to work out the area of a rhombus and a kite.

22.8.2016 Daily Practice

20 Questions Mental Maths

What is the area of this triangle?

10cm

8cm

Area of a Rhombus

A rhombus is a type of quadrilateral.

It has:

- 4 equal sides

- 2 pairs of equal angles

- Looks like a squished square!


Q1. -15 + 13

Q2. List any three factors of 24

Q3. Round 81.223 to 1 decimal place

Q4. 2.35 x 50 Q5. Multiply out 3(2x + 4)


Today we will be continuing to learn how to find the area of a rhombus and a kite.

Area of a Rhombus

What shapes can we make from a Rhombus?


How could we calculate the area of the Rhombus?

20cm12cm


Calculate the area of the following:

10cm

3cm5cm

7cm

12cm5cm

The area of a Kite

15cm

3cm

5cm



Q1. -3 x 5

Q2. Multiply out 3(m + 5)

Q3. 16.55 x 30

Q4. 48.8 ÷ 100 Q5. -8 - 13

Today we will be completing a Zoo Task to consolidate our knowledge of area.

Designing a Zoo

Giraffes

need an area

of 36cm2

Scale: 1cm = 1m

Tigers need a

perimeter of 100cmZebras need an area

of 60cm2

Monkeys need an area

of 60cm2

Penguins need an area

of 125cm2

The Rhino needs a

perimeter of 80cm

Documents

S2 (2.5) Length and Area.notebook March 08, 2017€¦ · S2 (2.5) Length and Area.notebook March 08, 2017 How many ways can you get an area of 24cm 2? Area of squares & rectangles