PBL Lesson Plan Template
Lesson Name: T-shirt Business
Subject: 7th grade Math – Solving problems that involved discounts & profit
Home Economics – Sewing t-shirtsDate:
Time Allotted: 1 – 45 minute class period
Instructional Objectives:
1.7 (5) Solve problems that involved discounts, markups, commissions, and profit and compute simple and compound interest.Assessment of Mastery of Objectives:
Rubric (With or Without Presentation)Student Self-Assessment
Question or Problem for Students:
Sarah and Mary learned how to make t-shirts in their Home Economics class. They want to start a small business sewing custom made t-shirts. (Based on this main idea, students can be separated into groups to answers the questions on the provided worksheets.)
Special Directions for Cooperative Grouping:
Groups of 3 or 4 – Organizer, Recorder, ReviewerOptional – One student to compute/check group calculations using a calculator
Resources for Groups:
T-shirt Business worksheet(s)Lesson Notes:
T-shirt Business Worksheet
Sarah and Mary want to start a custom made t-shirt business. After sewing a few t-shirts for their Home Economics class, many of their friends asked if they could buy t-shirts from them. They never imagined anyone would want to buy their t-shirts but a lot of their classmates have been asking them. Sarah and Mary talked to their Home Economics teacher about the possibility of selling their t-shirts. Mrs. Smith told them they could use the Home Economics sewing machines, pins, and needles until they were able to purchase their own.
Cost for Materials / Needed for each t-shirtFabric
100% Cotton $1.99/yard
50% Cotton & 50% Polyester $2.99/yard
Ribbing (for collars)
100% Cotton $0.89/yard
50% Cotton & 50% Polyester $1.29/yard
Thread $2.00/spool / 3 yards of fabric ($5.97 - $8.97)
½ yard of ribbing ($0.45 - $0.65)
1/2 spool of thread ($2.00)
Total cost per shirt
($7.42 - $10.62 plus 8.75% sales tax)
1. Sarah & Mary received an order from their first customer. Jan wants two t-shirts with
ribbing on the collar. She wants the t-shirts made of 100% cotton fabric.
a.) How much will it cost Sarah & Mary to buy the materials they need to make the two t-shirts?
b.) How much should Sarah & Mary charge Jan for each t-shirt so they will make at least a $5 profit on each t-shirt?
c.) How much profit will Sarah & Mary make if they charge $18.00 per t-shirt?
d.) Sarah & Mary decide to charge $16.00 for their t-shirts made of 100% Cotton. Since Jan ordered 2 t-shirts, they decide to give her a 5% discount. How much did Jan save by buying 2 t-shirts?
2. After completing their first order, they receive two more orders. Sarah & Mary decide to work on the orders at the same time. Order #1 is for one t-shirt with ribbing on the collar, made from 50% Cotton & 50% Polyester fabric. Order #2 is for four t-shirts: one t-shirt with ribbing made from 100% Cotton fabric and three t-shirts without ribbing, made from 50% Cotton & 50% Polyester fabric.
a.) How much will it cost Sarah & Mary to buy the materials they will need to complete
the two orders?
b.) When Sarah & Mary go to the fabric store to purchase the materials they need, the manager gives them a 10% discount on their purchase because they purchased more than 10 yards of fabric. How much money did they save?
c.) How much will Sarah & Mary need to charge so that they will make a $6 profit on Order #1?
d.) How much will Sarah & Mary need to charge so that they will make a $5 profit on each shirt for Order #2?
e.) Sarah & Mary want to give the person who ordered four t-shirts a discount. If they charge $16.00 for the t-shirt made of 100% cotton and $18.00 for the t-shirts made from the Cotton/Polyester blend. How much profit will they make on the entire order if they give a 10% discount per t-shirt?
ANSWER KEY
1. a.) ($7.42 per t-shirt)
2 t-shirts = 2 x $7.42 = $14.84
Tax: $14.84 x 0.0875 = $1.30
Total Cost: $14.84 + $1.30 = $16.14 (Total cost for t-shirt materials including tax.)
b.) Cost per t-shirt:
$8.07 + $5.00 = $13.07
They need to charge Jan at least $13.07 to make at least a $5.00 profit on
each t-shirt.
c.) $18.00 - $8.07 = $9.93
They will make a $9.93 profit on each t-shirt.
d.) $16.00 x 2 = $32.00 (Total charge to Jan for 2 t-shirts)
$32.00 x 0.05 = $1.60 (Discount for buying 2 t-shirts)
2. a.) Order #1 =
Order #2 =
Total cost of materials = $10.62 + $7.42 + $29.91 = $47.95
Tax: $47.95 x 0.0875 = $4.20
Total cost with tax = $47.95 + $4.20 = $52.15
b.) Total cost of materials = $47.95
Discount: $47.95 x 0.10 = $4.80
$47.95 - $4.80 = $43.15
Tax: $43.15 x 0.0875 = $3.78
Total cost with tax: $43.15 + $3.78 = $46.93
Money saved: $52.15 - $46.93 = $5.22
c.) Order #1: $10.62 x 0.10 = $1.06
$10.62 - $1.06 = $9.56 (Cost for Order #1 Materials with discount)
$9.56 x 0.0875 = $0.84 (Tax for Order #1 Materials)
$9.56 + $0.84 = $10.40 (Total cost for Order #1 Materials)
To earn a $6 profit, they must charge at least $16.40 for the t-shirt.
d.) Order #2:
1st t-shirt: (with ribbing, 100% Cotton)
$7.42 x 0.10 = $0.74
$7.42 - $0.74 = $6.68 (Cost for Order #2 Materials with discount, 1st t-shirt)
$6.68 x 0.0875 = $0.58 (Tax for Order #2 Materials, 1st t-shirt)
$6.68 + $0.58 = $7.26 (Total cost for Order #2 Materials, 1st t-shirt)
2nd – 4th t-shirts: (without ribbing, 50% Cotton & 50% Polyester)
$29.91 x 0.10 = $2.99
$29.91 - $2.99 = $26.92 (Cost for Order #2 Materials with discount, 3 t-shirts)
$26.92 x 0.0875 = $2.36 (Tax for Order #2 Materials, 3 t-shirts)
$26.92 + $2.36 = $29.28 (Total cost for Order #2 Materials, 3 t-shirts)
(Cost per t-shirt)
For Order #2 (1st t-shirt), they must charge at least $12.26 for the t-shirt to make a $5 profit.
For Order #2 (3 t-shirts), they must charge at least $13.97 for each t-shirt to make a
$5 profit.
e.) 1st t-shirt: $16, 2nd – 4th t-shirts: $18.00 x 3 = $54
$16.00 + $54.00 = $70.00 (Total charge for 4 t-shirts)
$70.00 x 0.10 = $7.00 (10% Discount for 4-t-shirts)
$70.00 - $7.00 = $63.00 (Final Charge after discount)
$63.00 - $46.93 = $16.07 (Total profit for 4 t-shirts)