Linear Systems
Part 3
APPLICATIONS
Translating words into symbols
+
Add
Give
Increased
Plus
More (than)
And
Combined with
All together
In addition to
Total
Exceeds
Take away
Subtract
Decreased
Minus
Remove
Without
Lower
Less (than)
Difference
of/between
E
Math Overview
Chapter Overview
When wanting to locate something, people use coordinates. Coordinates can be very
helpful in transformations.
Above are the quadrants listed for the Cartesian Coordinate System.
Once a shape is in a different location, the c
Systems in Action
Designing Efficient Systems

You are efficient when you use the least amount of energy needed for a task. Also
meaning you arent wasting energy. If not used in science, the term could also
describe time and money.

In homes, things are
Math Overview
Chapter Overview
Scientific Notation could be used to simplify numbers. Scientific Notations include
decimals and powers.
e.g.
If you wanted to write 6,549,300,000 as a scientific notation you would find how
many zeros are in the number (in
Math Overview
Chapter Overview
When dealing with integers, its best to use models. The ones used in grade eight include
o Counters
o Number Lines
Rules for adding and subtracting integers
Questions
1.
2.
3.
4.
(46) + (+18) = _
(78) (96) = _
(+23) (+67)
Math Overview
Chapter Overview
Term Number
o is part of a sequence. It isnt the value, but instead is used for the order.
e.g.
SEQUENCE
1, 1, 2, 3, 5
THE TERM VALUE IS: 1, 1, 2, 3, 5
THE TERM NUMBER IS: 1, 2, 3, 4, 5
Algebraic Expression
o The algebraic e
Math Overview
Chapter Overview
The
RADUIS
is the length of the outer liner to the middle of the circle. The radius
is often used in equations to find the diameter, circumference, area of the circle, and the
volume of a cylinder.
Radius
The
DIAMETER is dou
Math Overview
Chapter Overview
Repeating Decimal
sometimes decimals are long and never ending. Those include REPEATING
DECIMALS. They are not random numbers, but instead a set of numbers that
repeats itself. Instead of writing the full number, its best i
SYSTEMS IN ACTION
GETTING TO WORK
How to calculate work . . .
F D=W
The unit used to measure work is Joule (J).
Heres an example question.
A teacher moved her desk 4 m to the other side of the room. She used the force of
150 N.
To solve this problem, well
Math Overview
Chapter Overview
Types of Angles
Acute less than 90
Right exactly 90
Obtuse more than 90, but less than 180
Straight exactly 180
Reflex more than 180, but less than 360
Full Rotation exactly 360
Types of Triangles
Triangles can be defined by
Math Overview
Chapter Overview
Graphs
Graphs are used to display and sort data. There are many graphs that are used
like
Line Graph
Pie Graph (Circle Graph)
Stemandleaf plot
Pictographs
Bar Graphs
Line Graphs
Scatter Plot
DoubleLine Graph
DoubleBar G
Math Overview
Chapter Overview
To add and subtract fractions, it
is best if both fractions have the
same denominator. If they dont
you simply find equivalent
fractions for both of the
fractions.
e.g.
You have to add to .
First, you have to find the lowest