Wednesday, 27 February 2019
HCF and LCM
Lesson
Objectives:
Developing
students will be
able to write
numbers as
products of their
prime factors.
Secure students
will be able to
calculate the HCF
and LCM of pairs
of numbers using
Venn diagrams.
Excelling students
will be able to
answer worded
questions on HCF
and LCM.
5
2
3
1
4
9
7
8
6
Sort the digits 1, 2, 3, 4, 5, 6, 7, 8, 9
into the grid so that they obey the row
and column headings.
Keywords
Factor, prime number, tree, product, multiple, common, highest, lowest
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53…
Wednesday, 27 February 2019
HCF and LCM
Prime Factor Trees
Lesson
Objectives:
Developing
students will be
able to write
numbers as
products of their
prime factors.
Secure students
will be able to
calculate the HCF
and LCM of pairs
of numbers using
Venn diagrams.
Excelling students
will be able to
answer worded
questions on HCF
and LCM.
36
3
12
4
2
3
2
36 = 2 × 2 × 3 × 3
= 22 × 3 2
Keywords
Factor, prime number, tree, product, multiple, common, highest, lowest
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53…
Wednesday, 27 February 2019
HCF and LCM
Prime Factor Trees
Lesson
Objectives:
2100
Developing
students will be
able to write
numbers as
products of their
prime factors.
Secure students
will be able to
calculate the HCF
and LCM of pairs
of numbers using
Venn diagrams.
Excelling students
will be able to
answer worded
questions on HCF
and LCM.
30
5
6
2
70
3
7
10
2
5
2100 = 2 × 2 × 3 × 5 × 5 × 7
= 22 × 3 × 5 2 × 7
Keywords
Factor, prime number, tree, product, multiple, common, highest, lowest
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53…
Wednesday, 27 February 2019
HCF and LCM
10
12
14
15
20
30
28
42
48
56
60
72
112
140 240 310 144 192
Wednesday, 27 February 2019
HCF and LCM
Answers
10 = 2x 5
14 = 2 x 7
20 = 2²x 5
12 = 2²x 3
15 = 3 x 5
30 = 2 x 3 x 5
28 = 2²x 7
48 = 24 x 3
60 = 2²x 3 x 5
42 = 2 x 3 x 7
56 = 23 x 7
72 = 24 x 3²
112 = 24 x 7
240 = 24 x 3 x 5
144 = 24 x 3²
140 = 2²x 5 x 7
310 = 2 x 5 x 31
192 = 26 x 3
HCF and LCM
Wednesday, 27 February 2019
Draw a Venn diagram to represent the features of these two televisions
SAMSUNG
PANASONIC
HCF and LCM
Wednesday, 27 February 2019
Lesson
Objectives:
Developing
students will be
able to write
numbers as
products of their
prime factors.
Secure students
will be able to
calculate the HCF
and LCM of pairs
of numbers using
Venn diagrams.
The highest common factor (HCF)
of two numbers is the highest whole
number which divides into both.
The lowest common multiple (LCM)
of two numbers is the smallest
number that is a multiple of both.
Excelling students
will be able to
answer worded
questions on HCF
and LCM.
Keywords
Factor, prime number, tree, product, multiple, common, highest, lowest
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53…
HCF and LCM
Wednesday, 27 February 2019
Lesson
Objectives:
We can use the prime factors of a number to
find the HCF and LCM of larger numbers.
Developing
students will be
able to write
numbers as
products of their
prime factors.
Example: Find the HCF and the LCM of 60 and 294
60
294
Secure students
will be able to
calculate the HCF
and LCM of pairs
of numbers using
Venn diagrams.
Excelling students
will be able to
answer worded
questions on HCF
and LCM.
60 =
2×2×3×5
294 = 2 × 3 × 7 × 7
Keywords
Factor, prime number, tree, product, multiple, common, highest, lowest
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53…
Wednesday, 27 February 2019
HCF and LCM
Lesson
Objectives:
Developing
students will be
able to write
numbers as
products of their
prime factors.
Secure students
will be able to
calculate the HCF
and LCM of pairs
of numbers using
Venn diagrams.
294 = 2 × 3 × 7 × 7
60 = 2 × 2 × 3 × 5
60
294
2
5
2
7
3
7
HCF of 60 and 294 = 2 x 3 = 6
Excelling students
will be able to
answer worded
questions on HCF
and LCM.
Keywords
Factor, prime number, tree, product, multiple, common, highest, lowest
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53…
Wednesday, 27 February 2019
HCF and LCM
Lesson
Objectives:
Developing
students will be
able to write
numbers as
products of their
prime factors.
Secure students
will be able to
calculate the HCF
and LCM of pairs
of numbers using
Venn diagrams.
Excelling students
will be able to
answer worded
questions on HCF
and LCM.
294 = 2 × 3 × 7 × 7
60 = 2 × 2 × 3 × 5
60
294
2
5
2
7
3
7
HCF of 60 and 294 = 2 x 3 = 6
LCM of 60 and 294 = 2 x 5 x 2 x 3 x 7 x 7 = 2940
Keywords
Factor, prime number, tree, product, multiple, common, highest, lowest
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53…
HCF and LCM
Wednesday, 27 February 2019
Lesson
Objectives:
Developing
students will be
able to write
numbers as
products of their
prime factors.
Secure students
will be able to
calculate the HCF
and LCM of pairs
of numbers using
Venn diagrams.
Excelling students
will be able to
answer worded
questions on HCF
and LCM.
How confident do you feel with this topic?
Write red, amber or green in your book!
Complete the corresponding activity 
Extension: Answer the worded questions
and match the answers
Keywords
Factor, prime number, tree, product, multiple, common, highest, lowest
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53…
HCF and LCM
Wednesday, 27 February 2019
Lesson
Objectives:
Developing
students will be
able to write
numbers as
products of their
prime factors.
Secure students
will be able to
calculate the HCF
and LCM of pairs
of numbers using
Venn diagrams.
Excelling students
will be able to
answer worded
questions on HCF
and LCM.
Keywords
Factor, prime number, tree, product, multiple, common, highest, lowest
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53…
HCF and LCM
Lesson
Objectives:
Developing
students will be
able to write
numbers as
products of their
prime factors.
Secure students
will be able to
calculate the HCF
and LCM of pairs
of numbers using
Venn diagrams.
Excelling students
will be able to
answer worded
questions on HCF
and LCM.
Wednesday, 27 February 2019
1 question about
today’s topic
2 things you
learnt today
3 things you knew already
Keywords
Factor, prime number, tree, product, multiple, common, highest, lowest
Prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53…