Illuminations: Invest in Your Education

Invest in Your Education


In this lesson, students will purchase the common items used in their mathematics classroom such as desks, chairs, calculators, manipulatives, etc. They will be given a budget that they must work within plus coupons that they must use when making their purchases. It will be up to them to decide which coupon to use on which purchase but a coupon must be used. Students will determine the net price after applying the coupon before calculating and adding sales tax. The goal of the lesson is the have fun applying the concepts of discount and percent. Since students will use a purchase register to track their purchases, this lesson also serves as a review of integer operations.

Learning Objectives

 
Students will:
  • Solve practical problems involving percents
  • Solve consumer-application problems involving discounts and sales tax
  • Accurately record all purchases to determine the balance remaining in a checking account with a set opening balance

Materials

 
  • Everyday classroom supplies, such as desks, chairs, pens, and anything else students typically need for class
  • Calculators
  • Student white boards with markers or paper and pencil
  • Price list
  • Invest in Your Education Activity Sheet

Instructional Plan

Preparing for the Lesson

Some of your students have probably had little, if any, exposure to the use of coupons or discounts when making retail purchases while others could be considered experienced consumers. They are too young to have checking accounts or debit cards on their own, though some may have an account with an adult. In this lesson, students assume an account pre-loaded with money and use coupons and other discounts to make wise purchases.

A good number of today’s youth will have experience with debit cards, gift cards, and maybe even credit cards. Following the trend in today's economy, assume that all transactions during this lesson occur electronically. If your state financial literacy goals require that students be able to write checks, you can provide students with checks to make their purchases. You can also allow students to write checks as an extension to this lesson, but be prepared that the activity will require more class time; in fact, it may be necessary to spend as much as an entire class period teaching students how to write checks.

Prepare an inventory list of items that students can purchase ahead of time. The list should include pencils, desks, chairs, calculators, student whiteboards, paper, along with any other item you deem appropriate for this activity and your student population. Given the limited time to complete this activity, it is suggested you limit the number of items for sale to fewer than 10. The following is a suggested list of items and prices:

  • Adjustable student desk $79
  • Student chairs $34
  • Student calculator $10
  • Pencil and paper $1
  • Student whiteboard $5
  • Whiteboard marker $1

If you do not know the prices of certain items, check with the person in your school responsible for supply purchases beforehand. Spend some time doing this research to make the activity as authentic as possible. The total retail value of the items listed above is $130 before application of coupons and sales tax. If you are going to use the suggested prices above, then give students a starting balance of $130; that way, students will not get into an overdraft situation. This lesson is based on a sales tax of 5%, but you may want to change it to your local tax rate.

In order to make this lesson meaningful and one that students will remember for years to come, you will need to prepare your classroom. Consider moving all desks, chairs, and other items in the classroom that you want students to purchase to one side of the room. On the board write a sign indicating that there is a one-day-only sale on classroom supplies and that students will need to purchase their desks, chairs, calculators, etc. before they can have access to them. The inventory/price list should be clearly posted or provided as a handout for students. This activity works best if students come to class empty-handed, so it is a good idea to tell them the day before this lesson that they are to bring nothing to class. Be prepared for a little shock and a few "No ways."

 

The Lesson

As students walk in the door ask them to store all personal belonging in a corner of the room, and then hand them a purchase register listing the items available and the Invest in Your Education activity sheet.
Invest in Your Education Activity Sheet

Invite students to take a seat on the floor, so that you can explain the day's lesson. Once they are seated, explain to them that they have to invest in their educations and today they are going to have to purchase their classrom supplies. There are 3 coupons included with the Invest in Your Education activity sheet that they must use as part of this activity. The choice of which coupon to apply to which item is up to them but coupons may not be combined. Students may only purchase one of each item, as quantities are limited. Students can choose to purchase their items in any given order. It is surprising to see how many students choose to purchase a desk or chair before the calculator but in the end it is their choice.

Students will need to calculate the discounted price plus tax accurately before they can take possession of their purchase. To facilitate the checking of student calculations you may want to solicit the help of a teacher’s aid if available, one or more parents, a couple of your higher level students, or even a guest from a local retail business. If you have students who complete the activity quickly, enlist them to help struggling students or to aid in the verification of student calculations. Once all students have completed their purchases consider bringing the class together for a group discussion of key questions.

If time or classroom help is in short supply, you may want to consider completing this lesson over two class periods. During the first class students can make their purchases and document their calculations. You can then collect student purchase logs to check for accuracy before the next class period or to return to students so they can be peer checked before the group discussion of key questions.

Questions for Students

 
  • When you go to make a purchase with a coupon or when you take advantage of a discount, why is the discount taken before sales tax is calculated?
    [Sales tax is a value tax based on the net cost of the goods to the consumer, the net value is the amount of money the merchant is willing to accept in exchange for the goods. Sales tax is a tax levied by a governmental agency and is not considered revenue by the merchant therefore the merchant applies their discount before taxes are calculated.]
  • What is meant by 30% off and what percentage of the purchase price does the consumer pay?
    [An advertisement for 30% off is a really a discount offered by the merchant to entice a consumer to make the purchase. The consumer pays 70% of the purchase price. There may be some students in your class that will work off the assumption that they are going to pay 30%. A good way to address this common error is to ask students to check for reasonableness. If a popular game system game retails for $25 and it is being offered at 20% off, is it realistic to assume the merchant will allow the consumer to walk out of the store paying only $5.00? This type of illustration usually serves to put things in perspective for the students.]
  • You are interested in buy a new gaming system but the price of $300 is just too high, what, if any, amount of discount would cause you to reconsider this purchase and why this particular amount?
    [Answers will vary depending on student demographics. Encourage students to calculate the purchase price based on various discounts to help them make a better informed decision.]
  • We often see coupons in the paper that vary in value from $0.25 to several dollars. How much would a coupon have to be worth before you would take the time to cut it out and redeem it? How will the cost of the product influence this decision?
    [AAnswers will vary depending on student demographics. There may be some students in your classes whose families clip and use as many coupons as possible. If you have a diverse group of students, have students share their experiences with coupons and savings.]
  • Do coupons influence what you buy, why or why not?
    [Answers will vary depending on student demographics. Overall, coupons have been proven to influence our buying decisions, which is why manufacturers and retailers continue to use them.]
  • If a store is offering merchandise at 50% off and you bring in a coupon from the paper for an additional 25% off the reduced price, will the merchant give you 75% off the price?
    [Many students will be under the false impression that they will receive a 75% discount because they intuitively believe discounts are additive. Since percentages are calculated using multiplication and division, they are multiplicative, not additive. For example: a product sells for $100 and is offer at 50% off, which means the net cost is 50% of $100 or $50. With the coupon you get 25% off the last marked price. 25% of $50 is $12.50, so the final cost is $37.50. A 75% discount of the original $100 would have resulted in a $25 sales price.]

Assessment Options

 
  1. Check the accuracy of student calculations and purchase registers.
  2. Gauge student understanding in a class discussion.
  3. Consider using similar retail purchases such as those this activity as questions on a summative assessment.
  4. Ask students to bring in retail ads showing in-store discounts, loss leaders, or coupons. Use these ads to have students calculate the retail prices after the discounts are applied. Ask students to identify any sale items that they think the retailer might be using as a loss leader or bait to get the consumer to come to their store.

Extensions

 
  1. Have students bring in receipts from family purchases that reflect the use of coupons and/or discounts. Use these receipts to illustrate that tax is calculated after the discount is applied.
  2. Have students pay for their individual purchases with checks. Some states have a financial literacy requirement that calls for students to be able to write out a check in proper form. If you state requires lessons in financial literacy, consider using this activity as part of your program where applicable.

Teacher Reflection

 
  • What was your students’ initial reaction to this activity? If positive, what aspect did they enjoy the most? If negative, what could have been changed to make it a more positive experience?
  • Do you consider your students consumers and if so, did they have enough real life experience to understand the power that retailers have over consumers when they use discounts and coupons?
  • Did you challenge the achievers? How?
  • Did the lesson enhance students fluence with percentages?
  • What were some of the ways that the students illustrated that they were actively engaged in the learning process?
  • How did the students perform in relation to the stated behavioral objectives?
  • What content areas did you integrate within the lesson? Was this integration appropriate and successful?

NCTM Standards and Expectations

 
Number & Operations 6-8
  1. Select appropriate methods and tools for computing with fractions and decimals from among mental computation, estimation, calculators or computers, and paper and pencil, depending on the situation, and apply the selected methods.
  2. Work flexibly with fractions, decimals, and percents to solve problems.
This lesson was prepared by Julie Healy.
  
1 period   

NCTM Resources

Figure This! CD-ROM: Math Challenges for Families
The Open-Ended Approach: A New Proposal for Teaching Mathematics

Web Sites


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