Download X - Mathstrategy

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Table of contents
Table of contents
Effective Steps
Strategies
Draw a model
Organize a Table
Find a Pattern
Algebra Equations
Use Equal Ratios
Effective Steps
Think
on Paper
Start With What You Know
One Step at a Time
Understand the Question
Label your numbers
Strategies: Draw a Model
Use
models such as pictures, timelines,
number lines, shapes and graphs to solve
the problem.
Example: how many line segments must be
added to make this a prism?
Click
here for answer
On your own
Blue: work
Black: original
8
On your own
1.
If the sides of an equilateral
triangle were doubled in length what
would happen to the area?
Strategies: Organize a Table
Use
charts or grids to make the
problem simpler.
Example: how many rectangles are in
the drawing?
1)
Click here for the answer
On your own
Size
Number
of
Small
3
Medium 2
medium
small
large
Large
1
On your own
1.
If I have enough coins to pay the
exact price for any item from one
cent to and including one dollar,
what is the fewest coins I could
have in my pocket? What type are
they?
Strategies: Find a Pattern
Check all of the possible functions
Example: What is the rule for this
table?
x
y

4
17
21
5
18
22
On your own
Right: blue
Wrong: Red
Why is red
wrong?
It goes up at
an unsteady
pace.
Why is Blue right?
It goes up at a steady pace.
+ 13
+4
x
+1
4
+1
17
+1
21
y
5
18
22
+ 13
+4
On your own
1.
These are the first four triangular
numbers, what is the tenth one?
*
*
**
*
**
***
*
**
***
****
Algebra Equations
Contents:
Simple Equations
Simple Equations,
On Your Own
(Parenthesis)
Parenthesis,
On Your Own
On your own
Algebra equations
How to Solve
4x-5=15
3x+4=13
3x+4=13
4x-5=15
+5 +5
-4
-4
Divide
3x=9
3 3
x=3
4x=20
4 4
x=5
Eliminate
numbers
without a
variable(x).
Algebra equations
On Your Own
Answer
Key
1. 4x+6=42
2. 9x+14=32
3. 5x+2=12
4. 6x+5=41
5. 7x-3=11
6. 3x-9=3
7. 5x-4=21
8. 9x-5=13
On your own
Algebra equations
(Parenthesis)
4(x+5)=32
4(x+5)=32
4x+20=32
-20 -20
x=3 4x=12
4 4
Multiply to
everything
inside
parenthesis.
Get rid of
numbers
without a
variable
Divide
3(x-4)=12
3(x-4)=12
3x-12=12
+12 +12
3x=24
x=8
3 3
Algebra equations
On Your Own(Parenthesis)
1. 3(x+5)=27
Answer
Key
2. 9(x+2)=81
3. 5(x+7)=70
4. 5(x-6)=15
5. 4(x-4)=24
6. 2(-9+x)=42
Strategies: Use Equal Ratios
To make problems simpler use equal ratios.
When using these start with what you
know
You can cross multiply or use the arrows
method to figure out the variable.
Example:
Click here for
1)solve for x:
answer by cross
X = _6_
multiplying
192 method
Click here16
for arrows
On your own
1st
Cross multiply
X = 6
16 192
192x=96
or
192*X=6*16
3rd
answer
X=1/2
2nd
divide
192x=96
192 192
?
Arrows method
1st
6 / 12 = 1/2
X= 6
16 192
192 / 12 = 16
2nd
X=6
16 192
3rd answer: X = 1/2