lesson 1: fractions learning intention (li): ways to layout · 2019. 5. 29. · 2 fractions nat 5...

2 Fractions Nat 5 Two year BHS.notebook

1

May 29, 2019

Sep 2213:40

Learning intention (LI): Ways to layout

Success Criteria (Today we will..)• Know that the denominator tells us how many make a whole• To change into mixed this means how many wholes and state whats leftover as

a fraction• A top heavy fraction means the numerator is bigger• To convert between we use multiply and divide

Lesson 1: Fractions

I can convert between proper and improper fracons.


2

May 29, 2019

Sep 2213:40

5 = 10

8 = 28

18 = 30

Examples

4 = 2 1 2 4 = 2

3 = 5 2 5 3 = 5

Task: (Worksheet)Please do not write onTop section Q20, 22, 24, 26, 28, 30, 32, 34


3

May 29, 2019

Sep 2213:40

24 8

= 18 6

=

31 8

= 33 6

=

Task: (Worksheet)Please do not write onTop section Q20, 22, 24, 26, 28, 30, 32, 34 Bottom section Q20, 22, 24, 26, 28, 30, 32, 34


4

May 29, 2019

Sep 2213:40

Learning intention (LI): Ways to layout

Success Criteria (Today we will..)• Know that the denominator tells us how many make a whole• To change into mixed this means how many wholes and state whats leftover as a fraction• A top heavy fraction means the numerator is bigger• To convert between we use multiply and divide

Lesson 1: FractionsI can convert between proper and improper fracons.

3 = 7 2 23 = 4


5

May 29, 2019

Sep 2213:40

Learning intention (LI): Add

Success Criteria (Today we will..)• Know that when we add fractions the denominators need to be the same• We can use 'kiss / smile / hug' but must check if needs simplifying at the end

Lesson 2: Fractions

I can add mixed numbers


6

May 29, 2019

Sep 2213:40

3 5

1 5

+ 3 7

2 7

+


7

May 29, 2019

Sep 2213:40

3 8

1 4

+ 5 6

2 3

+


8

May 29, 2019

Sep 2213:40

Examples

2 + 7 3 12

3 + 5 8 6


9

May 29, 2019

Sep 2213:40

Examples

3 + 5 8 6


10

May 29, 2019

Sep 2213:40

Examples

+ 2 3 23 4 5

Task: (Int 2 bk 1)Page 174 Ex 16.3 Q2(a)(b)(c)(d), Q4(a)(b)(c)(d)(e)(f)


11

May 29, 2019

Sep 2213:40

Task: (Int 2 bk 1)Page 174 Ex 16.3 Q2(a)(b)(c)(d), Q4(a)(b)(c)(d)(e)(f)

+ 7 10 14 2 5


12

May 29, 2019

Sep 2213:40

Learning intention (LI): Add

Success Criteria (Today we will..)• Know that when we add fractions the denominators need to be the same• We can use 'kiss / smile / hug' but must check if needs simplifying at the end

Lesson 2: FractionsI can add mixed numbers

+ 7 9 25 5 6


13

May 29, 2019

Sep 2213:40

Learning intention (LI): Add/ SubtractLesson 3: Fractions

I can add and subtract mixed numbersSuccess Criteria (Today we will..)• Know that when we add and subtract fractions the denominators

need to be the same• We can use 'kiss / smile / hug' but must check if needs simplifying at the end


14

May 29, 2019

Sep 2213:40

3 5

1 5

- 3 7 2 7

-


15

May 29, 2019

Sep 2213:40

3 8

1 4 -

5 6

2 3

-


16

May 29, 2019

Sep 2213:40

Examples

2 - 5 3 12

2 - 5 3 12


17

May 29, 2019

Sep 2213:40

Examples

2 3

5 12 - 5 2


18

May 29, 2019

Sep 2213:40

- 2 3 27 4 5

Task: (Int 2 bk 1)Page 174 (175) Ex 16.3 Q4(all), Q10(all)


19

May 29, 2019

Sep 2213:40

Plenary Slide:Learning intention (LI): Add/ SubtractLesson 3: Fractions

I can add and subtract mixed numbersSuccess Criteria (Today we will..)• Know that when we add and subtract fractions the denominators

need to be the same• We can use 'kiss / smile / hug' but must check if needs simplifying at the end

- 5 8 47 5 6


20

May 29, 2019

Sep 2213:40

Learning intention (LI): Divide and Mulitply

Success Criteria (Today we will..)• Know when we multiply we do 'top times top' and 'bottom by bottom'• When we divide we change the division symbol to multiply, flip the second

fraction and then multiply• We may need to simplify by using our knowledge of hcf

Lesson 4: Fractions

I can mulply and divide mixed numbers.


21

May 29, 2019

Sep 2213:40

Examples

5 8

4 7

x 2 3 5 7 12 x


22

May 29, 2019

Sep 2213:40

1 2

1 4

÷

This is asking how many quarters are in one half?


23

May 29, 2019

Sep 2213:40

Task: (Int bk 1)1) Page 176 Ex 16.4 Q6(a)(b)(c)(d)2) Page 177 Ex 16.5 Q6(a)(b)(c)(d), Q7

3 5

4 7

÷

2 4 5 2 3 ÷


24

May 29, 2019

Sep 2213:40

Learning intention (LI): Divide and Mulitply

Success Criteria (Today we will..)• Know when we multiply we do 'top times top' and 'bottom by bottom'• When we divide we change the division symbol to multiply, flip the second

fraction and then multiply• We may need to simplify by using our knowledge of hcf

Lesson 4: Fractions- Plenary Slide:

I can mulply and divide mixed numbers.

2 5 9 2 7 ÷3

Attachments

Significant Figures.doc

Rounding rules.docx

rounding off to dp.doc

Rounding to 1 and 2 dp.docx

Multiply by 10, 100 and 1000.docx

Circles State radius or diameter.ppt

Parts of a circle worksheet to glue in.doc

Circumference of a circle.doc

TriangularPrism9.pdf

1 Probabillity matching words to statements.docx

0 Sig fig starters ﴾1 sig fig﴿.docx

4a Patterns y = mx.docx

4b Patterns y = mx +c.docx

0 Sig fig starters ﴾2 sig fig﴿.docx

5 Gradient 7 diagrams, count sqaures, can glue into jotters Yellow sheet.pdf

5 Staright Line, table of values.docx

Establish a relationship between x and y Flashcard.docx

5 Straight Line, Ex 8.4.docx

6 Parts of a circle.doc

Significant Figures

‘Significant figure’ is an extension on rounding.

Section A Round to one significant figure:

a) 36 820 b) 28 328

c) 82 178

d) 6 776

e) 2 056

f) 9 043

g) 1 746

h) 6 728

i) 768

j) 921

k) 651

L) 209

Section B

Round each number to one significant figure and then use this to estimate the answer, the first have been started for you:

a) 38 x 82 ≈ 40 x 80

b) 73 x 47 ≈ 70 x 50

=

=

c) 86 x 28 ≈

d) 41 x 29 ≈

=

=

e) 283 ÷ 42 ≈

f) 324 ÷ 82 ≈

=

=

g) 35 x 21 ≈

h) 352 ÷ 74 ≈

=

=

i) 67 x 44 ≈

j) 87 x 28 ≈

=

=

Section B Round to two significant figures:

a) 36 820 b) 28 328

c) 82 178

d) 6 776

e) 2 056

f) 9 043

g) 1 746

h) 6 728

i) 768

j) 921

k) 651

L) 209

Section C Round to the number of significant figures shown in brackets:

a) 7 845 (1 sf)

b) 78 312 (2 sf)

c) 89 (1 sf)

d) 9 321 (2 sf)

e) 12 897 (1 sf)

f) 891 (1 sf)

g) 89 123 (2 sf)

h) 9 245 (2 sf)

i) 67 (2 sf)

j) 2 189 (1 sf)

k) 789 234 (2 sf)

L) 102 673 (2 sf)

�

SMART Notebook

Rounding ....

......1 dp means one number after decimal point

......2dp means two numbers after decimal point

Rule: 5 or more increase otherwise leave alone!

Rounding ....




Rounding ....




Rounding ....




Rounding ....




Rounding ....




SMART Notebook

Copy each question and use the approximate sign (i.e ≈ )

1) Round these correct to nearest whole number:

a) 12.8 b) 24.689 c) 3.98 d) 1 487.2999

2) Round these correct to one decimal place:

a) 56.02 b) 3.48

c) 20.74 d) 4.07

3) Round the answers to one decimal place first and then do the sum:

a) 3.2 (( 1.8 b) 49.9 ( 21 c) 58 ( 4.2 d) 480 ( 2.8 e) 5.6 ( 21

f) 589.9 ( 56 g) 39.8 ( 18 h) 5.28 ( 1.2 i) 192.8 ( 44 j) 10.8 ( 5

4) Round each of these numbers to the given number of decimal places.

a) 14.827 (1 d.p.) b) 108.932 (1 d.p.) c) 2.0789 (2 d.p.)

d) 66.3328 (3 d.p.) e) 21.682 (2 d.p.) f) 24.308 (2 d.p.)

5) Round each of these numbers to the given number of decimal places.

a) 8.28792 (4 d.p.) b) 50.2351 (3 d.p.) c) 21.805 674 (3 d.p.)

d) 52.316 (4 d.p.) e) 23.3328 (3 d.p.) f) 0.008 026 (3 d.p.)

6) Arrange these in order of size, largest first:

12.01 12.14 12.5 12.8 12.09 12.07

Rounding

� EMBED Word.Picture.8 ��

_1013721863.doc

SMART Notebook

(Name: )

Rounding

1) Round the following to 1dp

a) 15.36 b) 45.86c) 19.42

d) 58.98e) 456.283 f) 1 254.397

g) 78.928h) 25.12547

2) Round the following to 2 dp

a) 23.546b) 48.475c) 125.367

d) 478.1256e) 14.7852f) 45.4598

g) 301.48756h) 1.458714

3) Use your calculator to answer the following sums and round to the the d.p as shown in brackets

a) 145 ÷ 23 (2 d.p)b) 856 ÷ 47 (1 d.p)

c) 783 ÷ 28 (2 d.p)d) 478 ÷ 192 (1 d.p)

e) 6582 ÷ 247 (2 d.p)f) 256 ÷ 48 (2d.p)

SMART Notebook

Multiplying by 10, 100, 1000

Copy and complete the following:

When you multiply a whole number by

· 10 means ___________

· 100 means ___________

· 1000 means ___________

Now do the following:

Section A

a) 53 x 10 b) 91 x 100 c) 32 x 1000 d) 87 x 10

e) 17 x 100 f) 2 x 1000 g) 76 x 100 h) 3 x 10

i) 10 x 87 j) 100 x 201 k) 801 x 10 L) 1000 x 5

m) 17 x 10 n) 100 x 32 o) 1000 x 32 p) 71 x 100

q) 109 x 100 r) 65 x 1 s) 87 x 10 t) 100 x 67

Example:

34

2 x

68

34 x 20 is the same as 32 x 2 x 10

68 x 10 = 680

Section B

a) 32 x 20 b) 81 x 20c) 63 x 20

d) 23 x 40 e) 47 x 30f) 72 x 60

g) 82 x 70 h) 13 x 90i) 59 x 30

Example:

34

2 x

68

34 x 200 is the same as 32 x 2 x 100

68 x 100 = 6 800

Section C

a) 21 x 200 b) 53 x 200c) 82 x 300

d) 92 x 300 e) 76 x 400f) 87 x 600

g) 43 x 900 h) 18 x 600i) 71 x 800

SMART Notebook

14cm

Radius?

3m

Diameter?

27cm

Radius?

8cm

Diameter?

9cm

Radius?

3cm

Diameter?

9cm

Radius?

12cm

Radius?

12cm

Diameter?

12cm

Radius?

12cm

Diameter?

2.8cm

Radius?

4.5m

Diameter?

7.1m

Diameter?

7.2mm

Radius?

8.1mm

Diameter?

17.2m

Radius?

SMART Notebook

Circles

The circumference is all the

The diameter cuts the circle in half all the way around………

The radius is from the centre to the edge……..

Name the parts of these circles marked by heavy bold lines.

Choose from radius, circumference, diameter.

a)

b)

c)

d)

e)

f)

g)

h)

Circles - Complete the following:

Circle Radius

Diameter

�

�

�

35cm

24cm

8cm

32cm

4cm

12cm

SMART Notebook

Calculate the circumference of the following:

1.

2.

3.

4.

5.


1.

2.

3.

4.

5.


1.

2.

3.

4.

5.


1.

2.

3.

4.

5.

18m

12cm

5cm

20cm

28cm

18m

12cm

5cm

20cm

28cm

18m

12cm

5cm

20cm

28cm

18m

12cm

5cm

20cm

28cm

SMART Notebook

http:/worksheetplace.com Score: /6

Name:_________________________________

Calculate the Volume

1.

10in

8 in

12.8 in

8 in

2.

11in

13 in

11.4

in 14.9 in

8 in

3.

9in

8 in

9.8

in 9.8in

9 in

4.

11in

14 in

11.7

in 14.9 in

11 in

5.

11in

16 in

19.4

in

12 in

6.

14in

9 in

14.6

in 14.9in

14 in

http:/worksheetplace.com Score: /6

Name:_________________________________

Calculate the Volume

1.

10in

8 in

12.8 in

8 in

V = 320 in³

2.

11in

13 in

11.4

in 14.9 in

8 in

V = 572 in³

3.

9in

8 in

9.8

in 9.8in

9 in

V = 324 in³

4.

11in

14 in

11.7

in 14.9 in

11 in

V = 847 in³

5.

11in

16 in

19.4

in

12 in

V = 1,056 in³

6.

14in

9 in

14.6

in 14.9in

14 in

V = 882 in³

Triangular-Prism-9

Triangular-Prism-9a

SMART Notebook

BROUGHTON HIGH SCHOOL

Mathematics Faculty

Probability

0 0.5 1

Impossible Even chance Dead cert

Less than likely More than likely

What word would you use for:

Chose a card from a fair pack and it is red

It will be sunny everyday in January

If I roll a fair six sided die

I will get a number greater than 6

The next person I say hello to will be female

I will have chips for my dinner tonight!

Think of an example for the following:

Evens

Fairly certain

BROUGHTON HIGH SCHOOL

Mathematics Faculty

Probability

0 0.5 1

Impossible Even chance Dead cert

Less than likely More than likely

What word would you use for:

Chose a card from a fair pack and it is red

It will be sunny everyday in January

If I roll a fair six sided die

I will get a number greater than 6

The next person I say hello to will be female

I will have chips for my dinner tonight!

Think of an example for the following:

Evens

Fairly certain

SMART Notebook

Round to 1 significant figure (1 s.f):

45 368

587 412

0.004758

368.145

=

=

=

=

26 123

639 741

0.00145

4.12541

=

=

=

=

3 874

108 999

0.00415

1.4758

=

=

=

=

6 410

703 965

0.001247

98.4125

=

=

=

=


45 368

587 412

0.004758

368.145

=

=

=

=

26 123

639 741

0.00145

4.12541

=

=

=

=

3 874

108 999

0.00415

1.4758

=

=

=

=

6 410

703 965

0.001247

98.4125

=

=

=

=


45 368

587 412

0.004758

368.145

=

=

=

=

26 123

639 741

0.00145

4.12541

=

=

=

=

3 874

108 999

0.00415

1.4758

=

=

=

=

6 410

703 965

0.001247

98.4125

=

=

=

=


45 368

587 412

0.004758

368.145

=

=

=

=

26 123

639 741

0.00145

4.12541

=

=

=

=

3 874

108 999

0.00415

1.4758

=

=

=

=

6 410

703 965

0.001247

98.4125

=

=

=

=


45 368

587 412

0.004758

368.145

=

=

=

=

26 123

639 741

0.00145

4.12541

=

=

=

=

3 874

108 999

0.00415

1.4758

=

=

=

=

6 410

703 965

0.001247

98.4125

=

=

=

=


45 368

587 412

0.004758

368.145

=

=

=

=

26 123

639 741

0.00145

4.12541

=

=

=

=

3 874

108 999

0.00415

1.4758

=

=

=

=

6 410

703 965

0.001247

98.4125

=

=

=

=

SMART Notebook

Number Patterns 1

1) a) Joseph is laying out tables, draw the next pattern:

1 Table 2 Tables3 Tables

2 Chairs 4 Chairs 6 Chairs

b) Complete the table below:

Number of Tables (T)

0

1

2

3

4

5

6

15

Number of Chairs (C)

2

4

6

c) Write a formula to find the number of chairs when you know the number of tables.

d) Use your formula to find the number of:

i) chairs needed for 20 tables.

ii) tables needed for 74 chairs.

Number Patterns 1

2) a) Brian is laying out tables, draw the next pattern:



b) Complete the table below:


0

1

2

3

4

5

6

15


3

6

9





SMART Notebook

Number Patterns

1) a) Joseph is laying out tables, draw the next pattern:



b) Copy and complete the table including zero number of tables:


0

1

2

3

4

5

6

15


3

5

7





2) a) Billy is laying out tables, draw the next pattern:



b) Copy and complete the table including zero number of tables:


0

1

2

3

4

5

6

15


5

7

9





3) Sophie is laying out tables:

a) Copy and complete the table including zero number of tables:


0

1

2

3

4

5

6

15


7

13

19

b) Write a formula to find the number of chairs when you know the number of tables.

c) Use your formula to find the number of:



4) Look at this pattern for fences:

a) Copy and complete the table including zero and one number of Posts:

Number of Posts (P)

0

1

2

3

4

5

6

15

Number of Slats (S)

4

8

12

b) Write a formula to find the number of slats when you know the number of posts.


i) slats needed for 21 posts.

ii) posts needed for 88 slats.

5) Look at this pattern for squares and triangles:

a) Copy and complete the table including zero and one number of Posts:

Number of Squares (S)

0

1

2

3

4

5

6

15

Number of Triangles (T)

3

5

7

b) Write a formula to find the number of triangles when you know

the number of squares.


i) triangles needed for 32 squares.

ii) squares needed for 71 triangles.

6) The table shows the cost (C) of hiring a scooter for several days (D).

Number of Days (D)

1

2

3

4

Total Cost (C)

20

25

30

35

a) Write a formula to find calculate how much the scooter would cost to hire when

b) Use your formula to find:

i) the cost for 12 days.

ii) the maximum numbers of days to hire the scooter with £95

7) Sarah makes and sells necklaces. She charges £4.50 per necklace plus a one off payment of £3.50 for postage and packing.

She stipulates the postage remains the same giving an example that 2 necklaces would cost £12.50 and 20 necklaces would cost £93.50.

What is the maximum number of necklaces she can buy for £40?

SMART Notebook


5 418

47 563

0.0012547

74.583

=

=

=

=

19 099

0.014785

50

3.475214

=

=

=

=

√478.63

4.53

74 + 84

95 + (-3)8

= (PRA)

= (PRA)

= (PRA)

= (PRA)

=

SMART Notebook

SMART Notebook

SMART Notebook

Establish a relationship between x and y:

a) x 1 2 3 4 5

y 3 6 9 12 15

b) x 0 1 3 4 5

y -3 -1 1 3 5

Establish a relationship between x and y:

a) x 1 2 3 4 5

y 3 6 9 12 15

b) x 0 1 3 4 5

y -3 -1 1 3 5

SMART Notebook

SMART Notebook

Circles




1) Name the parts of these circles marked by heavy bold lines.


a)

b)

c)

d)

e)

f)

g)

h)

Circles




2) Name the parts of these circles marked by heavy bold lines.


a)

b)

c)

d)

e)

f)

g)

h)

�

�

SMART Notebook

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lesson 1: fractions learning intention (li): ways to layout · 2019. 5. 29. · 2 fractions nat 5...

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