Transcript Prime factor trees level 6-7 lesson

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Enterprise Skills
LESSON OBJECTIVES
Always aim
high!
We are learning to:
- Enhance our Mathematical learning skills.
(Which Enterprise skills?)
- Accurately write numbers as a product of prime
factors. (Levels 6-7)
Where are we in
our journey?
AUTHOR
www.mistrymaths.co.uk
Real life
cross/curricular
links?
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Enterprise Skills LEARNING JOURNEY Which ones are you using?
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BRAIN IN GEAR
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EXAMPLE
DITDIONA can be rearranged to make ADDITION
TASK
Work out the following Mathematical anagrams:
ARESUQ
Square
EBUC
Cube
MIERP
Prime
EXTENSION
Develop your own Mathematical anagrams as above as a
creative entrepreneur.
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STARTER
Enterprise Skills
1
11
21
31
41
51
61
71
81
91
Independent
Learner
2
12
22
32
42
52
62
72
82
92
3
13
23
33
43
53
63
73
83
93
4
14
24
34
44
54
64
74
84
94
5
15
25
35
45
55
65
75
85
95
6
16
26
36
46
56
66
76
86
96
Reflective
Learner
TASK
1) Cross out the number 1.
2) Do NOT cross out 2. Cross out all the multiples of 2.
3) Do NOT cross out 3. Cross out all the multiples of 3.
4) Do NOT cross out 5. Cross out all the multiples of 5.
5) Do NOT cross out 7. Cross out all the multiples of 7.
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7
17
27
37
47
57
67
77
87
97
8
18
28
38
48
58
68
78
88
98
9
19
29
39
49
59
69
79
89
99
10
20
30
40
50
60
70
80
90
100
EXTENSION
Why do you not have to shade
out multiples of 4,6,8 and 9?
Did you manage to find all 25 prime numbers between 1 and 100?
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VISUAL TECHNIQUE TO LEARN PRIME NUMBERS BELOW 30
Remember this sequence:
2 Eyes
3 Blind Mice on your shoulder
5 Gold Rings on your fingers
7 On the back of a football shirt you are wearing (Beckham)
11 Players in a Football team. Picture of the England squad
on the front of the football shirt you are wearing.
13 Players in a Rugby League team. Picture of the Leeds Rhinos
squad beneath the England squad on your shirt.
17 One number below the legal age to drink alcohol.
19 One number above the legal age to drink alcohol.
23 Going up a tree.
29 Standing in a line.
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PRIME NUMBERS
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ANSWER
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Enterprise Skills PRIME FACTOR TREES Which ones are you using?
PRIME NUMBERS
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, …
EXAMPLES
Find the product of prime factors for the following numbers:
(a)
(b)
32
8
4
2
10
4
2
2
60
2
5
6
2
3
2
2
ANSWER = 2 X 2 X 2 X 2 X 2
=
2
5
ANSWER = 2 X 2 X 3 X 5
=
22 X 3 X 5
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Enterprise Skills PRIME FACTOR TREES Which ones are you using?
Express the following as products of their prime factors.
TASK 1 (Level 6)
TASK 2 (Level 6)
EXTENSION (Level 7)
2 digits
3 and 4 digits
1) Find the HCF and LCM from
15
18
28
42
72
94
a.
b.
c.
d.
e.
f.
a.
a.
b.
c.
d.
e.
f.
150
240
144
225
576
2744
the venn diagrams below:
b.
2) Find the HCF and LCM of
120 and 150
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Enterprise Skills PRIME FACTOR TREES Which ones are you using?
Express the following as products of their prime factors.
TASK 1 (Level 6)
TASK 2 (Level 6)
EXTENSION (Level 7)
2 digits
3 and 4 digits
1) Find the HCF and LCM from
the venn diagrams below:
a. HCF = 2 x 3 = 6
LCM = 3 x 2 x 3 x 2 x 2 = 72
b.HCF = 3 x 3 x 5 = 45
LCM = 2 x 2 x 2 x 2 x 3 x 3 x
5 x 11 = 7920
2) Find the HCF and LCM of
120 and 150
120
150
2
2
2
3
5
5
HCF = 30
LCM = 600
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MINI-PLENARY ACTIVITY
A student is struggling with prime factor trees. Can you identify
where they are going wrong and explain what they need to do.
2x2x5
2
2 x5
c
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DISCOVERY
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LINK BACK TO OBJECTIVES
- Accurately write numbers as a product
of prime factors.
What level
are we
working at?
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Enterprise Skills PRIME FACTOR TREES Which ones are you using?
PLENARY ACTIVITY
Below are three incomplete factor
trees for the number 66. Complete the
factor trees in three different ways.
11
6
3
3
2
22
2
33
2
11
3
11
What have you learnt?
Draw your brain
In your brain, write or draw everything you can remember about finding
the product of prime factors. It can be a skill or a reflection, or something
else that might be prominent in your brain.
Where are we
in our
journey?
What level
are we
working at?
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Enterprise Skills SELF ASSESSMENT Which ones are you using?
Plenary Activity
How well do you understand the task?
.
I don’t
understand
I nearly
understand
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I fully
understand
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Plenary Activity
WWW (What Went Well)
EBI (Even Better If)
On your post it
notes…
Think about how you
can improve your
work.
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