Uploaded by Erni HT

# frayer model - sequence, ordering, estimate, limits

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```WHAT IT MEANS?
NOTES AND FORMULA
To find next
term
Numbers/Diagrams
arranged
• Find the
common
difference
according to a rule
To find
the rule
•
Formula
𝐴𝑛 + 𝑏
To find value in
the nth term
•
Find rule
•
value = 𝐴𝑛 + 𝑏
To find the nth
term given the
value
•
•
Find rule
𝐴𝑛 + 𝑏 = value
Common
difference
1st – common
Term difference
EXAMPLE QUESTIONS
NUMBER PATTERN AND
SEQUENCE
1, 3, 5, 7, 9, …
(a) Find the next
sequence.
(b) Find the value in
the 100th term.
NON EXAMPLE QUESTIONS
0.7
(c) Find the nth term
that has the value 97.
√7
1
7
72
Arrange the numbers in ascending order
WHAT IT MEANS?
NOTES, FORMULA, STEPS TO SUCCESS
S2S:
ARRANGING NUMBERS IN
1. Change the numbers into decimal form
Fraction → decimal
– use calculator fraction button
Percentage → decimal
– change to fraction out of 100 then
use calculator fraction button
ASCENDING ORDER
OR
2. Arrange the numbers ascending or descending order
3. Rewrite the numbers using original numbers
DESCENDING ORDER
ORDERING NUMBERS
EXAMPLE QUESTIONS
Arrange the following numbers in descending order:
60%
0.6
1/6
6/7
NON EXAMPLE QUESTIONS
What is the next term in the sequence:
3, 3.5, 4, 4.5, …
WHAT IT MEANS?
NOTES, FORMULA, STEPS TO SUCCESS
S2S:
ROUND OFF THE NUMBER TO:
If the digit is 5 or more, then round up and +1
If the digit is less than 5, then stay
DECIMAL PLACES
SIGNIFICANT FIGURE
NEAREST 10, 100, ETC
Significant figure
Nearest value
1. Rewrite the number
until the required
number of decimal
places
1. Rewrite the required
number of non-zero
significant figures
1. Identify the place
value of given value
2. Then round up or stay
ESTIMATION AND
APPROXIMATION
EXAMPLE QUESTIONS
Round off to 2
decimal places
Decimal places
123.4567
Round off to 3
significant figure
2. Then round up or stay
2. Then round up or stay
3. Remaining numbers
replace by zero (ignore
numbers after decimal
point)
NON EXAMPLE QUESTIONS
Write 0.00345 in standard form.
Round off to the
nearest 10
0.02345
Round off to 2 decimal places
Round of to 2 significant figure
WHAT IT MEANS?
NOTES, FORMULA, STEPS TO SUCCESS
S2S:
Calculate
1. Draw number line and label with;
2. Quantity given
lower bound
and
5. Quantity given + nearest value
3. Quantity given − nearest value
upper bound
lower bound ≤ quantity given &lt; upper bound
4. Halfway value
= LOWER BOUND
EXAMPLE QUESTIONS
6. Halfway value
= UPPER BOUND
LIMITS OF ACCURACY
The height of the door is 261 m correct to the nearest metre. Complete
the following statement about the height of the door.
NON EXAMPLE QUESTIONS
&lt;
&gt;
=
Use the symbol above to complete these statements
…………………………… m ≤ door height &lt; ……………………………… m
(a) 0.5 ………..
1
5
(b) 9% ………. 0.09
```