math intro - SD43 Teacher Sites

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Welcome to Mr. Kings Grade 8
Math course. We are going to
follow the Math Text book
Math Makes Sense 8 and use
other resources (Online ixl.com
and print) to help understand
the main concepts (listed
below).
Our first unit is right there is a
refresher to build on our
previous math skills 
Intro Unit idea…
What it turns into…
Exponents & Square Roots
Pythagoreans Theorem
Number Lines
Integers
Formula’s
3-D Geometry
(Area & Volume)
Fractions
Converting Percents & Ratio’s
Variables
Solving Algebra Equations
Graphs
Data Anaylis & Algebraic Pairs
Things you will need for Math 8
1)
2)
3)
4)
A Calculator. No your cell phone will not be acceptable to use during tests!
A math 8 binder, or section in your main binder.
Dividers for your math work
Pencils and paper on a regular basis (No I don’t always have some to borrow).
Main concepts in math 8
Chapter 1  Pythagrean’s Theroum
Chapter 2  Mulptiplying and Dividing Intergers
Chapter 3 Operations with Fractions
Chapter 4 3-D Geometry (Volume and Surface area of various prisms and cylanders).
Chapter 5 Percent, Ratio, Rates
Chapter 6 Algrbra (Linear equations and multi-step Variables)
Chapter 7 Data analysis and Graphing
-----------------------------------------------------------------------------------------------------------------------------------------Student Name:_______________________
Parent Name(s):______________________
Email:___________________________________
Email / Phone number:_____________________________
Solve for….
5²
Exponents
Exponents are the little numbers ______________ a main number.
The number
Answer
9²
3 ² means 3 multiplied by _______.
An Exponent to the second power) always makes the shape of a ________.
A square has equal __________ & __________.
2²
8²
The Square root of a number is the Answer to a squared number.
12²
The Square root of 25 (√25) is 5.
Its like saying WHAT times WHAT is 25. Or, if a square has the area of 25 cm²
what is length of each side?
Solve….
√100 =
√49=
√16=
√36=
√121=
Number lines are a picture representation of positive and negative numbers.
2 + 3 means you start at 2 and jump up 3 spaces to 5, as illustrated in the below figure.
As another example, 6 – 4 means start at 6 and jump down 4 spaces to 2. That is, 6 – 4 = 2, as shown in the following figure.
Draw one number line example using negative number below!
Formula’s
Area is the amount of stuff in the middle
Area of a Quadrilateral is
A = Length X Width
Area of a Square is
A = Length ²
Area of a triangle is
A = Length X Width / 2
Area of a Circle is
𝐴 = 𝜋𝑟 2
Perimeter is the distance around the outside of the shape.
To find the perimeter you add up all the outside edges of a shape.
A square and rectangle have four edges, while a triangle has three!
ASSIGNMENT
 Divide a piece of paper in four. (You can use the back of second page of this handout)
Draw four different shapes and label them (side Length and width, name of shape)
 Demonstrate the four shapes AREA and Perimeter.
FRACTIONS
When adding fractions you need to find a common ____________ which is the number on the ___________.
Then you can add the _____________, which is the number on the _________.
A Percent is a fraction out of _________.
Remember to always reduce your fraction to the lowest. A
correct answer will always be in its “Simplest” form.
Example… 4/6 is the same as 2/3
A “Greatest Common Factor” is a number that can be divided
into both numbers
Example… The G.C.F. of 5, and 10, is 5. 5 can be divided
into 5 once, and 10 twice!
Variables
A Variable is an unknown. In math we are always searching for the unknown. We want to know as much as we can. But
in life sometimes there are what ifs… A Variable lets us say “what if we added it by THIS or THAT”.
You may have seen it written as a blank or a box…
2 + __ = 10
the answer to the blank is _____
3+□=7
the answer to the □ is
We will start using letters as the symbol(s) for variables. X is the usual one, but I avoid using X because it is confused
with a multiplication symbol. Other multiplication symbols include a dot (3∙4 = 12) or even the number touching the
other number [6(6)=36].
I will use y, a, and b most often… but my variables will vary!
Algebra is based on finding the variable. Solve for a.
1) 3 + a = 9
A=
2) 6 – a = 2
A=
3) 3a = 15
A=
4) a + 5 – 2 = 13
A=
Graphing
We use our graphing skills heavily in the last two chapters. We will plot answers from algebra questions and
demonstrate data that we have analyzed. Graphs have some major components we need to know…
Parts of a graph include knowing which axis (line of the graph) is which. All Graphs should be titled and labeled.
TITLE:
The X axis is vertical and always comes first.
The Y axis comes second and is horizontal .
Plot these coordinates
A  1, 1
B  2, -2
C  -3, -3
And then connect the plotted points.
D -4, 4
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