Spaced Learning

1
Spaced Learning Topic Number
2
Rounding
3
Rounding
Round 8.2375 to...
3 decimal places ? 8.238
2 decimal places ? 8.24
1 decimal place ? 8.2
Only show the number of places asked for. If the
number in place after it is 5 or more then round
up.
4
Rounding
Round 81.02375 to...
4 significant figures ? 81.02
3 significant figures ? 81.0
2 significant figures ? 81
Only show the number of places asked for. If the
number in place after it is 5 or more then round
up.
5
BIDMAS
6
BIDMAS
1 Brackets (23)
2 Indices/Powers 22
3 Division/Multiplication 62or 35
4 Division/Multiplication 62 or 35
5 Addition/Subtraction 4-3 or 21
6 Addition/Subtraction 4-3 or 21
7
BIDMAS
When given a division, like this
Work out the top 34212214
Work out the bottom 9-27
Then divide top by bottom 1472
8
Adding/Subtracting Decimals
9
Adding and subtracting decimals
Make sure columns are lined up
335.547
- 24.2
311.347
10
Adding and subtracting decimals
And remember your carries
12.547
2.2784
1
1
14.8254
11
Multiplying Decimals
12
Multiplying decimals
What is 2.3 4.2?
Multiply by powers of 10 23 42
Calculate 23 42 966
Readjust 2.3 4.2 9.66
13
Equivalent Fractions
14
Equivalent fractions
Find equivalent fractions to 12/60
numerator and denominator...
By 3 12/60 36/180
By 2 12/60 24/120
Numerator is top number
Denominator is bottom number
15
Equivalent fractions
Find equivalent fractions to 12/60
numerator and denominator...
By 3 12/60 4/20
By 2 12/60 6/30
16
Fractions
17
Adding or subtracting fractions
Find 2/5 1/3
Find a common denominator 15
2/5 6/15 and 1/3 5/15
2/5 1/3 6/15 5/15 11/15
18
Multiplying fractions
Find 2/5 1/3
Multiply numerators together
Multiply denominators together
2/5 1/3 2/15
19
Dividing fractions
Find 3/5 2/3
Flip the second fraction 3/2
Multiply fractions together
3/5 2/3 3/5 3/2 9/10
20
Ratio
21
Ratio
Ratios should be cancelled down
618
39
13
22
Ratio
Squash is 1 part juice 5 parts water
How much water is in 3litres squash?
1 part 5 parts 6 parts
Each part is worth 0.5 litres
Water 5 parts 0.5 litres 2.5 litres
23
Negative Numbers
24
Adding and subtracting negative numbers
Adding a negative
9 (-7) 9 7 2
Subtracting a negative
9 (-7) 9 7 16
25
Multiplying and dividing negative numbers
Positive / Positive Positive
Positive / Negative Negative
Negative / Positive Negative
Negative / Negative Positive
26
Multiplying and dividing negative numbers
( 2) ( 4) ( 8)
( 2) (- 4) (- 8)
( 8) ( 4) ( 2)
(- 8) (- 4) ( 2)
27
Factors Multiples
28
Factors and multiples
Factors divide into a number
Factors of 24 1, 2, 3, 4, 6, 8, 12, 24
Multiples divide by a number
Multiples of 6 6, 12, 18, 24, 30
29
Prime numbers
A prime number has two factors
Factors of 23 1, 23
1 and 23 are the only factors of 23
Therefore, 23 is prime
30
Prime Numbers
31
Prime numbers
The number 1 is not prime, it has only 1 factor !
The first few prime numbers are
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
Therefore, 23 is prime
32
Prime factors
45
3 15
3 5
45 as a product of primes 335 32 x 5
33
Percentages
34
Finding percentages mentally
Per cent means- Out of 100
Find 1 ? 100
Find 5 ? 20
Find 10 ? 10
Find 16 ? Find 10 5 1
35
Finding percentages with a calculator
Find 38 of 250
First 100 ? 2.5
Then 38 ? 95
38 250 95
36
Increasing by a percentage
Increase 250 by 12
Find 12 of 250 ? 30
Add 30 to 250 ? 280
38 250 95\
37
Decreasing by a percentage
Decrease 120 by 65
Find 65 of 120 ? 78
Subtract 78 from 120 ? 62
38 250 95\
38
Percentages, Fractions Decimals
39
Fractions, decimals and percentages
They can all be equal-
10 0.1 10/100 1/10
25 0.25 25/100 1/4
60 0.6 60/100 3/5
95 0.95 95/100 19/20
40
Gap 1
41
Make a South Park character from playdoh
42
Spaced Learning Topic Number
43
Rounding
Round 4.1283 to...
3 decimal points ?
4.128
2 decimal points ?
4.13
1 decimal point ?
4.1
44
Rounding
Round 91.141 to...
91.14
4 significant figures ?
3 significant figures ?
91.1
2 significant figures ?
91
45
BIDMAS
1
Brackets (56)
2 Indices/Powers 962
3
Division/Multiplication 73 or 94
4 Addition/Subtraction 7-3 or 61
46
BIDMAS
When given a division, like this
Work out the top
8248816
Work out the bottom
9 5 4
Then divide top by bottom
1644
47
Adding and subtracting decimals
Make sure columns are lined up
310.547
- 10.5
300.047
48
Adding and subtracting decimals
remember your carries
And....
52.967
1.8623
1
1
54.8293
49
Multiplying decimals
What is 1.5 1.6?
15 16
Multiply by powers of 10
Calculate
15 16 240
Readjust
1.5 1.6 2.4
50
Equivalent fractions
Find equivalent fractions to 14/70
numerator and denominator...
14/70 42/210
By 3
14/70 28/140
By 2
51
Equivalent fractions
Find equivalent fractions to 14/70
numerator and denominator...
14/70 2/10
By 7
14/70 7/35
By 2
52
Equivalent fractions
These fractions are equal
1/5
3/
6/
24/
120
15
30
10
30
5/25
/75
/150
15
/50
10/
2/10
4/
8/
40
50
20
53
Adding or subtracting fractions
Find 2/3 1/4
12
Find a common denominator
2/3 8/12
and
1/4 3/12
2/3 1/4
8/12 3/12
11/12
54
Multiplying fractions
Find 2/3 1/4
Multiply numerators together
Multiply denominators together
2/3 1/4
2/12
1/6
55
Dividing fractions
Find 2/3 3/4
4/3
Flip the second fraction
Multiply fractions together
2/3 3/4
2/3 4/3
8/9
56
Ratio
cancelled down
Ratios should be...
612
36
12
57
Ratio
Mulch is 3 part eggs 4 parts flour
How much flour is in 1.4kg mulch?
3 parts 4 parts 7 parts
Each part is worth...
0.2 kg
Flour
4 parts 0.2 kg 0.8 kg
58
Adding and subtracting negative numbers
Adding a negative
8 6
2
8 (-6)
Subtracting a negative
8 (-6)
14
8 6
59
Multiplying and dividing negative numbers
Positive
Positive / Positive
Negative
Positive / Negative
Negative / Positive
Negative
Negative / Negative
Positive
60
Multiplying and dividing negative numbers
( 3) ( 4) ( 12)
(- 12)
( 3) (- 4)
(- 12) ( 4)
(- 3)
(- 12) (- 4)
( 3)
61
Factors and multiples
Factors divide into a number
2
7
Factors of 28 1, , 4, , 14, 28
Multiples divide by a number
Multiples of 7 7, , 21, 28,
35
14
62
Prime numbers
two
A prime number has factors
1, 29
Factors of 29
1 and 29 are the only factors of 29
Therefore, 29 is
prime
63
Prime numbers
not prime!
The number 1 is
The first few prime numbers are
29,
3,
5,
7,
11,
13,
17,
19,
2,
23,
Therefore, 23 is prime
64
Prime factors
63
3
21
7
3
63 as a product of primes
337
3²7
65
Finding percentages mentally
Find 2 ?
50
20
Find ? 5
Find 50 ?
2
Find 72 ? Find
50 20 2
66
Finding percentages with a calculator
Find 98 of 850
100
? 8.5
First
Then
x 98
? 833
98 850
833
67
Increasing by a percentage
Increase 80 by 15
? 12
find 15 of 80
First...
Then
add 12 to 80
? 92
68
Increasing by a percentage
Decrease 40 by 35
? 14
find 35 of 40
First...
Then
? 26
Subtract 14 from 40
69
Fractions, decimals and percentages
0.2
20
20/100
1/5
0.18
18/100
9/50
18
8
0.08
8/100
2/25
15
0.15
15/100
3/20
70
Gap 2
71

• Create a Simpsons character from Playdoh

72
Spaced Learning Topic Number
73
Rounding
Round 4.0752 to...
3 decimal points ?
2 decimal points ?
1 decimal point ?
74
Rounding
Round 28.02475 to...
4 significant figures ?
3 significant figures ?
2 significant figures ?
75
BIDMAS
List the order of BIDMAS operations
1
2
3
4
76
BIDMAS
When given a division, like this
Work out the
1
2
Work out the
3
Then divide by
77
Adding and subtracting decimals
Make sure columns are lined up
91.8478
-1.416
78
Adding and subtracting decimals
And remember your carries
2.2792
62.99921
79
Multiplying decimals
What is 7.1 4.2?
Multiply by
Calculate
Readjust
80
Equivalent fractions
Find equivalent fractions to 15/60
numerator and denominator...
By 3 15/60
By 2 15/60
81
Equivalent fractions
Find equivalent fractions to 15/60
numerator and denominator...
By 3 15/60
By 5 15/60
82
Equivalent fractions
These fractions are equal
1/ /12 /24 24/
4/ 9/ 18/ 36/
/20 4/ /32 /64
83
Adding or subtracting fractions
Find 1/6 - 1/7
Find a common denominator
1/6 and 1/7 .

1/6 1/7
.
84
Multiplying fractions
Find 3/4 2/5
Multiply together
Multiply together
3/4 2/5
85
Dividing fractions
Find 1/6 3/7
Flip the fraction
fractions together
1/6 3/7
86
Ratio
Ratios should be cancelled down
2184
.
.
87
Ratio
Hot choc is 2 parts cocoa 4 parts milk
How much cocoa is in 1.8 litres milk ?
parts parts parts
Each part is worth .
Milk parts x litres
88
Adding and subtracting negative numbers
Adding a negative
10 (-7) .
Subtracting a negative
9 (-7) .
89
Multiplying and dividing negative numbers
Positive / Positive
Positive / Negative .

Negative / Negative
Negative / Negative .
90
Multiplying and dividing negative numbers
( 4) ( 6)
( 4) (- 6)
(- 24) ( 4)
(- 24) (- 4)
91
Factors and multiples
Factors divide into a number
Factors of 24 , 2, , 4, , ,
, 24
Multiples divide by a number
Multiples of 9 9, , , , 45
92
Prime numbers
A prime number has factors
Factors of 29 .
and are the only factors of .
Therefore, 29 is .
93
Prime numbers
The number is not prime!
The first nine prime numbers are
Therefore, 23 is prime
94
Prime factors
28
.

28 as a product of primes


95
Finding percentages mentally
Find 1 ? .
Find 5 ? .
Find 10 ? .
Find 16 ? Find
96
Finding percentages with a calculator
Find 24 of 150
First ? 1.5
Then ?
24 150
97
Increasing by a percentage
Increase 150 by 12
First, find ?
Then, add ?
38 250 95\
98
Decreasing by a percentage
Decrease 150 by 40
First, find ?
Then, ?
38 250 95\
99
Fractions, decimals and percentages
20 20/100 1/5
0.25 1/4
30 30/100 .
45 .
100
The End
101
The End