Download Module - Formatting for TLM

TLM
Module A01
Formatting for
TLM - Part I
Copyright
This publication © The Northern
Alberta Institute of Technology
2002. All Rights Reserved.
LAST REVISED Oct., 2008
Formatting for TLM - Part I
Statement of Prerequisite Skills
None
Required Supporting Materials
Access to the world wide web.
Internet Explorer 5.5 or greater.
Rationale
Why is it important for you to learn this material?
The math course you are about to take requires you to enter data into a computer.
Computers are only as accurate as the code that has been programmed into them. It is not
possible to include every possible version of an answer in the computer and for this
reason a TLM formatting technique must be followed. If you do not follow this
technique TLM may mark answers wrong that would normally be considered correct. Be
sure to follow the TLM formatting guidelines set out in this module to reduce the
frustration of data entry in the computer.
Learning Outcome
When you complete this module you will be able to…
Enter answers into TLM.
Learning Objectives
1.
2.
3.
4.
5.
6.
7.
8.
9.
Apply TLM formatting using upper and lower case.
Apply TLM formatting to answers that contain fractions.
Apply TLM formatting to positive and negative numbers.
Apply TLM formatting to algebraic expressions.
Apply TLM formatting to exponents.
Apply TLM formatting to algebraic division.
Apply TLM formatting to linear equations.
Apply TLM formatting to units.
Apply TLM formatting concerning accuracy in answers.
Connection Activity
Have you ever approached an instructor or a teacher to discuss the way they marked a
problem on an exam? They may have been looking for a particular procedure or way of
answering a question. Upon discussing the problem you may have been awarded part
marks or possibly walked away with no more marks but a better understanding of what
was being asked. Imagine having this conversation with your computer! TLM is much
less forgiving when marking and for this reason you need a thorough understanding of
exactly how to enter answers into the computer.
1
Module A01 − Formatting 1
OBJECTIVE ONE
When you complete this objective you will be able to…
Apply TLM formatting using upper and lower case.
Exploration Activity
All answers are to be entered in lower case, except where specified.
Examples:
TLM Answer Format
1. TANGENT
tangent
2. A + 2AB + B
a + 2ab + b
3. Y=X+1
y = x+1
However, certain concepts in math use upper case letters. Angles and line segments are
expressed in upper case.
Examples:
TLM Answer Format
1.) Angle A
A
2.) Line segment BC
BC
2
Module A01 − Formatting 1
OBJECTIVE TWO
When you complete this objective you will be able to…
Apply TLM formatting to answers that contain fractions.
Exploration Activity
EXAMPLE 1
Add the following fractions. Reduce your answer to lowest form.
1 1 3
+ =
2 4 4
The TLM system would ask you for three answers:
Ans 1: (whole number) = 0
Ans 2: (numerator) = 3
Ans 3: (denominator) = 4
NOTE:
If the whole number part of your answer is zero then type 0.
EXAMPLE 2
Subtract the following fractions. Reduce your answer to the lowest form.
5
1
1
1
−2 =3
4
8
8
The TLM system will ask you for three answers:
Ans 1: (whole number) = 3
Ans 2: (numerator) = 1
Ans 3: (denominator) = 8
Note: If the whole number part of your answer is zero then type 0.
EXAMPLE 3
Convert the following mixed number to an improper fraction.
2
1 11
=
5 5
The TLM system would ask you for:
Ans 1: Numerator = 11
Ans 2: Denominator = 5
3
Module A01 − Formatting 1
OBJECTIVE THREE
When you complete this objective you will be able to…
Apply TLM formatting to positive and negative numbers.
Exploration Activity
The only time you may indicate the sign of a number is when it is negative.
EXAMPLE 1
Perform the indicated operation:
a)
(+ 4) + (+ 3) = (+ 7)
TLM answer = 7
b)
−7 + (+2) = −5
TLM answer = −5
NOTE: Include the sign of the answer only if it is negative.
4
Module A01 − Formatting 1
OBJECTIVE FOUR
When you complete this objective you will be able to…
Apply TLM formatting to algebraic expressions.
Exploration Activity
Rule 1: Write terms in alphabetical order and never include spaces between terms.
Rule 2: Do not use multiplication symbol × in product terms like AB.
EXAMPLE 1
Algebraic expression
TLM Format
n+m
sr
1+ a
m+n
rs
a +1
Rule 3: Order of Operations follows the hierarchy rules found in most calculators.
Multiplication and division are performed first from
left to right before addition and subtraction, which are
performed last from left to right. Brackets can be used
to force a different order.
Rule 4: Use brackets only when necessary. An answer with unnecessary brackets is an
incorrect answer.
5
Module A01 − Formatting 1
EXAMPLES
1.
Algebraic expression
a×b+c
TLM Format
ab+c
2.
a × (b + c)
a(b + c)
3.
a
bc
a/(bc)
4.
a
×c
b
5.
6.
7.
8.
9.
10.
11.
a+b
c+d
b
a+ +d
c
b+d
a+
c
a+b
c
a
b+c
ab
c+d
ab
cd
ac/b
(a+b)/(c+d)
Must have brackets, no
multiplication sign
Be aware of the difference
between this example and
example 3.
Brackets required. Must group
numerator and denominator.
a+b/c+d
a+(b+d)/c
(a+b)/c
a/(b+c)
ab/(c+d)
ab/(cd)
6
Module A01 − Formatting 1
OBJECTIVE FIVE
When you complete this objective you will be able to…
Apply TLM formatting to exponents.
Exploration Activity
All expressions requiring exponents in the answer will use ^ to indicate a power.
EXAMPLES
Algebraic expression
TLM Format
1.
b2
b^2
2.
a×b2
ab^2
3.
(a×b)2
(ab)^2
4.
a2c2
a^2c^2
5.
a2b
a^(2b)
6.
8x3
8x^3
7.
5a2b2
5a^2b^2
8.
a
9.
a
3
1
4
a^(3/4)
5
a^(1/5)
7
Module A01 − Formatting 1
OBJECTIVE SIX
When you complete this objective you will be able to…
Apply TLM formatting to algebraic division.
Exploration Activity
EXAMPLES
1.
Divide the following
x 2 + 5x + 6
= x + 2 Remainder 0
x+3
Your answer will consist of two parts:
Quotient = x + 2
Remainder = 0
Note: If remainder is zero type 0.
2. Divide the following:
x 2 + 3x + 4
= x+8
x −5
remainder 44
Your answer will consist of two parts:
Quotient = x + 8
Remainder = 44
Note: If remainder is zero type 0.
8
Module A01 − Formatting 1
OBJECTIVE SEVEN
When you complete this objective you will be able to…
Apply TLM formatting to linear equations.
Exploration Activity
When entering answers for variables, it is necessary to enter only the numerical value.
EXAMPLE
Solve the following linear equation.
x + 1 = 11
x = 10
TLM Format
Enter only the 10, not x = 10.
9
Module A01 − Formatting 1
OBJECTIVE EIGHT
When you complete this objective you will be able to…
Apply TLM formatting to units.
Exploration Activity
Units do not need to be included with the TLM answer if they appear on the printed tests.
EXAMPLE
TLM Format answer
Distance = 15 km
15
10
Module A01 − Formatting 1
OBJECTIVE NINE
When you complete this objective you will be able to…
Apply TLM formatting concerning accuracy in answers.
Exploration Activity
Unless specified otherwise express all answers correct to 4 decimal places except angles
which when measured in degrees, are to one decimal place. (Angles in radians to 4
decimal places).
EXAMPLES
TLM Format
1.
32.471157514
32.4712
2.
−104.6249083
−104.6249
3.
55
55
4.
20.1
20.1
5.
26.87°
26.9
Note: If the answer is an exact value like 55 or 20.1 as in examples 3 and 4, then those
answers will be correct as they are.
Practical Application Activity
Complete the formatting module assignment in TLM.
Summary
This module introduced the student to basic formatting procedures in TLM
11
Module A01 − Formatting 1