Transcript calculator_slides

Calculators in schools
•Important to spend time building non-calculator skills. Should schools
have a dedicated non-calculator exam ?
•They aren’t going away => we need an intelligent way of dealing with
them.
•Pupils will have different makes of calculator => we, as teachers should
be able to master most popular types of calculator.
•School Policy on calculators:
Each school should decide how to integrate the use of calculators into
their school.
Calculators in first year ? No calculators until Christmas of first year ?
One particular type of calculator recommended by a school ?
•Golden rule:
Don’t do anything on the calculator that you haven’t already written
on paper
Using the fraction capability
Example : Evaluate ¾ + ½
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Example : Evaluate 2¾ + ¼
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Using the memory capability
Example : Store 6.8 in memory location X
Example : Evaluate 0.2 + X using the memory function
Task : 1) Store 3.8 in memory location Y
2) Use the memory function to evaluate X + Y
3) Change the numbers in memory X to 4 and
memory Y to 5 and then evaluate X + Y, using the
memory function
4) Evaluate 5X2 – 7x -1
5) Evaluate 4X3 +2X2 –x +4
Clearing all settings on the calculator
All
Yes
Re-set
Recommended decimal setting
Norm
Trigonometry and the calculator
1) To make sure that the calculator is in degree mode
2) To find sin 60º
3) To find sin 1 1
2
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4) Changing the calculator to radian mode

5) To find tan
3
6) To find tan-1
1
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3
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Converting degrees to radians and radians to degrees
N.B. Your calculator should be in the mode of the target
i.e. in degrees if changing from radians to degrees and
in radians if changing from degrees to radians
Example 1 Change 60º to radians
a) Make sure the the calculator is in
radian mode
b) Then do the conversion
Example 2 Change

4
radians to degrees a) Make sure the the calculator is in
degree mode
b) Then do the conversion
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Graph the function y=x2+3x-4 in the domain -5x2
Step 1: Go into table mode in calculator
Step 2: Set up function
Graph the function y=x2+3x-4 in the domain -5x2
Step 3: To set up lowest x co-ordinate
Step 4: To set up highest x co-ordinate
Step 5: To see table
Handout
Recommended calculator use for functions
Graph the function y=x2+3x-4 in the domain -5x2
f(x) = x2 + 3x -4
f(-5) = (-5)2 + 3(-5) -4 = 6
(-5, 6)
f(-4) = (-4)2 + 3(-4) -4 = 0
(-4, 0)
f(-3) = (-3)2 + 3(-3) -4 = -4
(-3, -4)
f(-2) = (-2)2 + 3(-2) -4 = -6
(-2, -6)
(-1, -6)
f(-1) = (-1)2 + 3(-1) -4 = -6
f(0) = (0)2 + 3(0) -4 = -4
f(1) = (1)2 + 3(1) -4 = -4
f(2) = (2)2 + 3(2) -4 = 6
(0, -6)
(1, -4)
(2, 6)
Scientific Notation
Numbers in scientific format can be added, subtracted, multiplied and divided
without changing the calculator into scientific mode. The only drawback is that if a
number is small enough to display as a natural number it will be shown as a
natural number. e.g. (3.2 x 103) x (1.7 x 105) = 544 000 000
If you want this number converted to scientific notation you must change the
calculator into scientific notation mode
Getting into scientific notation mode:
Getting out of scientific notation mode:
Changing Cartesian coordinates to polar form
Example
Change

2, 2

to polar form
a) Calculator better in degree mode
for this
b) Then do the conversion
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TASKS
Try the following functions using the table mode
1) y = 3x -2
in the domain
-3  x  3
2) Graph the function f: x 7-5x-2x2
in the domain -4  x  2
3) Graph the function
1
f :x
in the domain -4  x  1 , x  -2
x+2
TASKS:
1) Store 5 in memory and then use the memory recall function to evaluate
2x3-6x2+4x-9 when x is 5 ( Answer is 111 )
2) Evaluate (43)2
and also evaluate 729 1/6 ( Answers are 4096 and 3 )
3) 6.4 x 107 – 1.2 x 105 (Answer is 63 880 000)
4) Demonstrate the following limit
lim
 0
Sin 
