Write and Graph Equations

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WRITE AND GRAPH EQUATIONS
Learning Goal for Focus 2(HS.A-CED.A.1, 2 & 3, HS.A-REI.A.1, HS.A-REI.B.3):
The student will create equations from multiple representations and solve linear equations and
inequalities in one variable explaining the logic in each step.
4
3
In addition to level 3.0
and above and beyond
what was taught in
class, the student
may:
- Make connection with
other concepts in math
- Make connection with
other content areas.
The student will create
equations from multiple
representations and solve
linear equations and
inequalities in one variable
explaining the logic in each
step.
- rearrange formulas to
highlight a quantity of
interest.
-Graph created equations on a
coordinate graph.
2
The student will be able
to solve linear equations
and inequalities in one
variable and explain the
logic in each step.
- Use equations and
inequalities in one
variable to solve
problems.
1
With help from
the
teacher, the
student has
partial success
with solving
linear equations
and inequalities
in one variable.
0
Even with help,
the student has
no success with
solving linear
equations and
inequalities in
one variable.
GETTING A SPEEDING TICKET
Greg lives in a state in
which speeders are fined
$15 for each mile per
hour over the speed limit.
Write an equation that will
determine the cost “C”
for any speeding ticket
that is written. Graph
your equation.
Label what you
know:
 Speeding ticket = C
 $15 per mile over limit
 “x” how many miles
over speed limit.
Write an equation.
 15x = C
Cost of a Speeding Ticket
210
195
180
165
C 150
O 135
S 120
105
T
90
75
$ 60
45
30
15
Make a Graph
Image from http://schools.iclipart.com
 Start with a t-chart to
know what values
your graph will need
to be.
 Plot your points and
connect them.
Miles over the Speed Limit
MONEY
Currently, you have $60 and your
sister has $135. You decide to save
$5 of your allowance each week,
whereas your sister decides to spend
her whole allowance plus $10 per
week.
Write an equation that will calculate
the total, T, you have after w amount
of weeks.
Write an equation that
will calculate the total,
T, your sister will have
after w amount of
weeks.
Comparing our Money
Label what you know:
140
My starting amount= $60
130
My savings each week= $5
120
Her starting amount = $135
110
Her spending each week = $10 100
90
“w” number of weeks.
T 80
O 70
Write your equation.
T 60
 60 + 5w = T
A 50
40
Write your sister’s
L 30





equation.
 135 - 10w = T
Make a Graph
 Start with a t-chart to know what
values your graph will need to be.
 Plot your points and connect them.
Graph both equations
on the same graph.
Image from http://schools.iclipart.com
$
20
10
Number of Weeks
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