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.