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Find all the factors
pairs for numbers 1 - 20 and list on board.
Note those with only 1 factor...2 factors...even
no. of factors |
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- recognise and
use factors and primes (less than 100).
- recognise multiples and find the lowest common
multiple
- recognise first few triangular & square numbers
to at least 12x12, & corresponding roots
- use the square root key |
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factor
common factor
highest common factor, (HCF )
prime
prime factor
factorise
square number
squared
62 as 'six squared'
65 as 'six 6 to the power 5'…
triangular number
divisor
divisible
divisibility test
indices
product
multiple
lowest common multiple (LCM)
property
consecutive
classify |
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OHS
A3/1a:Factorpillars:
Discuss why Factorpillar
12 has 3 pairs of legs); the other 2 factor
pillars? (1 prime & 1 square)
Explain meaning of a prime number, square number;
factor, common factor, odd, even.
(DISPLAY WORK OPPORTUNITY) |
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1). Activities
to find prime, square, odd, and even numbers, factors
& HCFs; be able to explain. Eg:
- Investigate factorpillars
with 1 leg (1), 2 legs (primes - babies!), 4 legs,
6 legs, odd no. of legs (square numbers);
- Which factors do any 2 factorpillars have in common?
2) Divisibility tests OR Revise using:
Revising
Special Numbers |
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Start at 0 &
count up in 2's, 5's and 10's. (Whole class)
Extend to counting up in 9's (+10 -1 strategy);
then in 6's, 7's & 8's.
OR
Review square numbers |
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WS
A3/1:Multiplication Grid: ''Why do some answers
occur more than once? ...common multiples (CM) ...
LCMs
AND
'where are the square numbers; why?' |
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Give 6 numbers
(2, 36, 1, 9, 32,) and ask Qs such as:
Which ones are square? prime? multiple of 8?
factor of 8?
both a square and a multiple of 4?
OR
see 6 Qs on p9 |
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'What
Next and Why? Activity:
Write on OHP the 1st number eg: 5, What
is the next number? Eg:
1st is 5 yes
2nd is 10 no
2nd is 7 yes
3rd is 9 yes
WHY? |
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- generate terms
of a simple sequence given a rule:
- term-to-term &
- position-to-term
- generate sequence from practical contexts and
describe the general term in simple cases
- solve word problems &
investigate in range of number & algebra contexts
- identify information to solve a problem and
- represent problems mathematically: symbols / diagrams
/ tables / graphs |
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sequence
term
nth term
consecutive
rule, relationship
generate
predict
continue
increase, decrease
finite, infinite |
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Start with matchstick
activity on OHP or board;
Sparks
8: Sequences 1: Q1 - next ?
Q2 - Describe sequence (+3 each time)
Q3 - Why? (refer to 3 extra matchsticks in context)
Q4 - 10th, 50th term?
Q5 - General term? (nth term has 3n+1, because ...)
Q6 - Formula -words? Using letters? (Link with A2) |
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Recap the method
of how to find the 10th term; any term.
Review either use of nth term or formula as appropriate
OR
OHS A3/3 : nth Term |
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