Bell Work
Consider a career in which a person could expect to
make a salary of $38,500 per year after only two
years on the job.
Is that person earning more or less than a welder
who makes $21.00 per hour?
Take 3 – 5 minutes to work out your answer.
Compare/Share your solution with a partner.
Hone your answer so that you can explain it clearly to
someone else.
See note
Is one better than the other?
Objective
Topic: Annual salary compared to Hourly pay
Do: Calculate an equivalent earning potential
Level: Applying
See note
College and Career Ready
Math
Standard: HS.N-Q.1
Use units as a way to
understand problems and to guide the solution of
multi-step problems; choose and interpret units
consistently in formulas; choose and interpret the
scale and the origin in graphs and data displays.
See note
Using unit rates
Let’s look at the problem mathematically:
$38,500
𝑦𝑒𝑎𝑟
$38,500
𝑦𝑒𝑎𝑟
∙
1 𝑦𝑒𝑎𝑟
52 𝑤𝑒𝑒𝑘𝑠
∙
1 𝑦𝑒𝑎𝑟
52 𝑤𝑒𝑒𝑘𝑠
∙
1 𝑤𝑒𝑒𝑘
40 ℎ𝑜𝑢𝑟𝑠
∙
1 𝑤𝑒𝑒𝑘
40 ℎ𝑜𝑢𝑟𝑠
=
$18.51
ℎ𝑜𝑢𝑟
See note
Same problem…
Maybe you started with the welder’s pay and found
an equivalent annual salary. Here’s how you might
set up the problem:
$21.00 40 ℎ𝑜𝑢𝑟𝑠
∙
ℎ𝑜𝑢𝑟
1 𝑤𝑒𝑒𝑘
$21.00 40 ℎ𝑜𝑢𝑟𝑠
∙
ℎ𝑜𝑢𝑟
1 𝑤𝑒𝑒𝑘
∙
50 𝑤𝑒𝑒𝑘𝑠
1 𝑦𝑒𝑎𝑟
∙
50 𝑤𝑒𝑒𝑘𝑠
1 𝑦𝑒𝑎𝑟
=
$42,000
𝑦𝑒𝑎𝑟
See note
Compare
$95,700 annual salary
$46 per hour
What hourly rate would be comparable to this salary?
Consider a few things:
“Full time” is usually 40 hours per week.
Sick leave and vacation time is already included.
Over time is also included.
Who makes this kind of money? What do they do for
a living? How much education/training do they
need?
See note
Minimum +
You worked for minimum wage ($8.05 per hour) all
summer. Then your boss decides to give you a 10%
($0.81/hr.) raise.
If you work 25 hours every week while you are
taking classes at the community college, how much
do you earn in the next 2 years?
Additional information: you took an equivalent of 5
weeks sick leave and vacation time during the two
years you were at the community college.
*How many weeks in a year??
See note
Hard work pays…
Is there any way a person who works at a rate of
$32.50 per hour could possibly make more than
someone who makes a salary of $68,000 per year?
Justify your answer mathematically and realistically.
See note
Closure
Write your name on a sticky note, and decide where you
will place it on the Traffic Signal poster as you go.
Green Light Means that you are “good to go” with the
idea of finding equivalent hourly and annual pay
rates.
Yellow Light Means that you are proceeding with
caution because you are beginning to understand, but
are not quite sure you can do this kind of problem by
yourself.
Red Light Means that you need to stop right here until
you get more instruction and help because you really
don’t understand today’s lesson.
Standards for Math Practice
HS.MP.1 Make sense of problems and persevere in
solving them.
HS.MP.3 Construct viable arguments and critique
the reasoning of others.
HS.MP.4 Model with mathematics.
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