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MATHS
CAMBRIDGE
STAGE 4
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Rules
Complete homework before our class start.
Seat nicely and make sure papers, pencil already.
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Raise your hand when you want to express your opinion
Speak english.
Do not turn off your camera without my permission.
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UNIT 1:
NUMBERS AND THE NUMBER SYSTEM
Lesson 1.1: Counting and sequences
Count forwards and backwards including negative numbers.
Recognise linear sequences.
Describle term-to-term rules.
Begin to explore non-linear sequences
Explore spatial patterns for square numbers.
Language support
Difference: The "jump size" between terms.
Example:
5
+5 10
+5
15
+5 20
+5
25
The difference between the terms in this sequence is +5
Linear sequence: A number parttern which increases (or decreases) by
the same amout each time.
For example: the pattern 3, 7, 11, 15, 19... follows the rule "add 4".
None - Linear sequence: A pattern where the numbers do not increases
or decrease by the same amout each time.
For example: in this sequence the numbers double each time
2, 4, 8, 16, 32...
Negative number: a number less than zero. You use a minus "-" sign to
show a negative number. (For example: -3, -2, -1)
Language support
Rule: a rule tell you how things or numbers are connected.
Example: The terms 1, 2, 4, 7, 11 .... are connected by the rule "add 1" more
than you added last time.
Sequence: an ordered set of numbers, shapes or other mathematical
objects arranged according a rule.
Example:
3, 6, 9, 12, 15, 18....
1, 4, 9, 16, 25, 36...
Language support
Square number: The number you get when you multiply a whole number
by itself..
Example: 2 x 2 = 4. So, 4 is a square number.
The square numbers appear along the
diagonal on a multiplication square.
Language support
Term: Part of a sequence separated by commas.
Example: 1, 3, 5, 7, 9, 11, 13...
The first term is 1
The second term is 3,
The third term is 5...
Term - to - term: rule: A rule you can use to find out how to get from one
term to the next.
Example: 3, 7, 10, 13, 16...
The term-to-term rule is "add 3".
Language support
Spatial pattern: A pattern that includes drawings.
Example: These patterns show square numbers
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Recognise a sequence number
1. Write the term-to-term rule for finding the next term in these sequence
Sequence A: 170, 173, 176, 179, 182, 185...
The term-to-term rule is ....................................
Sequence B: 240, 244, 248, 252, 256, 260, 264...
The term-to-term rule is ....................................
Sequence C: 540, 542, 544, 546, 548,...
The term-to-term rule is ....................................
Sequence D: 5, 8, 11, 14, 17,...
The term-to-term rule is ....................................
Sequence E: 21, 25, 29, 33, 37,...
The term-to-term rule is ....................................
What do you notice about pattern in these sequence ?
Questions
What do you notice about pattern in these sequence ?
What do you notice about the difference between successive term
in each sequence ?
How could you find the 7th term in each sequence ?
Challenge
1. Complete a sequence that terms are multiples of 6.
Challenge
2. Ben and David set a challenge. Ben says that he can reach 24 by counting in
threes from 3 at the same times as David counts in twos starting at 10.
Is he correct? Why?
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Write down your answer.
3, 6
,1
2,1
, 9.
4..
...
..
Think like a mathematician
These sets of beads have consecutive numbers in the cirles.
The numbers add up to the number in the square.
Example:
4
5
6
7
8
1
30
How do you find the middle number of each set of beads ?
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Think like a mathematician
Complete these numbers in cirles
Example:
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50
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72
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