Core Curriculum Objective(s):
The students will apply the concepts of percent to solve real world problems
involving unit price, best buy, commission, interest, sales tax, discount, and
percent of
error/increase/decrease. (6NA6 - 3)
*This bold-faced portion of the objective will apply to this lesson.
Solve multi-step application problems involving fractions and decimals in a
variety of real world context, including unit price, and present data and
conclusions in paragraphs, tables or graphs. (6NA6 - 4)
Overview:
The students will complete activities that involve multi-step problems to solve real world problems that require the students to apply the concepts of percent to compute unit prices, best buys, commissions, interest, sales tax, and discounts.
Focus/Essential Questions:
* When you go shopping what is always added to the price at the cash register?
* What operation would you use to compute sales tax on the cost of an item?
* What is the sales tax for South Carolina?
* Do we have the same sales tax for all fifty (50) of the United States? Why or why not? If not, then what would be some possible explanations for this?
Time Frame: One to two 50-minute class periods
Resources/Materials:
Textbook, Mathematics: Applications and Connections, Course 1 by Glencoe
http://www.webmath.com/sale.html (This site will show you how to calculate the sale price of an item, given that you know the original price and how many "percents off" is involved with the sale price.)
http://www.webmath.com/tip.html (This site will show you how to calculate a tip that you would leave at your table after a meal in a restaurant.)
http://www.webmath.com/wppercents.html (This site will show you how to solve word problems involving percents. To use it, find the word problem below that resembles the one you need help with, fill in the blanks; then, click "Solve" to find the answer.)
http://www.figurethis.org/challenges/c17/challenge.htm (This is an interactive site that gives the student a hint to help them solve a critical thinking problem about percents.)
http://www.inew.com/ (This site has interactive and worksheet production components. Math is advanced but has different grade levels.)
http://www.eduplace.com/math/mathsteps/6/c/index.html
Understanding Percents
http://www.eduplace.com/math/mathsteps/6/e/index.html
Understanding Rates
http://www.taxadmin.org/fta/rate/sales.html Sales Taxes by State
Culminating Assessment:
This rubric will be used to access the achievement of students when they complete activities from this lesson. These activities will involve multi-step problems to solve real world problems that require the students to apply the concepts of percent to compute unit prices, best buys, commissions, interest, sales tax, and discounts. Students will receive ratings in the areas indicated by the rubric; these ratings will show which students met the objectives(s) and which students need additional practice with using percents.
|
Using Percents in the Real World Rubric |
| Descriptor |
Met Requirement |
Partially Met Requirement |
Did Not Meet
Requirement |
| The student participated in all activities. |
20 |
10 |
0 |
| All computations were correct. |
20 |
10 |
0 |
| Work is neat and legible. |
20 |
10 |
0 |
| Student worked cooperatively with other students. |
20 |
10 |
0 |
| Work was turned in on time. |
20 |
10 |
0 |
|
Total points earned |
|
|
|
Instructional Activities:
1. The teacher should lead the students through the focus/essential questions.
2. Next, the teacher should complete some sample sales tax problems on the overhead. See Appendix A. The teacher should monitor the students' responses to make sure that students are n the right track.
3. The teacher will divide the students into pair and give them copies of Appendix B.
4. The students' task is to figure out how much the Smith family spent on their vacation traveling by car from Columbia, SC to a destination of the students' choice. The trip must include at least five different states. The items purchased are included. The students should simply use the tax tables available at http://www.taxadmin.org/fta/rate/sales.html to decide how much tax is required for the item. The tax should be added to the cost to arrive at a total cost. The students must decide on the states that their trip will take them.
5. They won't be spending money for lodging because they will be staying with family and friends along the way.
6. Once all pairs have finished the work, then the teacher should lead the students through the answers. Students could volunteer to do the work on the overhead or the teacher could chose one student from each pair. The teacher should monitor all parts of the answers providing feedback where needed.
Appendix A - Sample Sales Tax Problems
1. Mary bought a sweater for $25.00. If the sales tax is 7%, what is the sales tax amount? What is the total price when the sales tax is added to the cost of the sweater?
2. Sammy bought a bike with his birthday money. If the bike's price was $252.50 and if he paid 6% sales tax, how much did he pay in all for the bike?
3. Anthony bought a new coat for school. The price was $129.00. The sales tax was 5%. How much were the tax and the total cost of the coat?
4. Teresa bought a McDonald's combo for $3.49. If the tax is 5% how much will she pay for the combo?
5. Susan bought a new CD at Target for $14.99. If she paid 5% tax, how much would the CD cost her?
Appendix A - Sample Sales Tax Problems KEY
1. Mary bought a sweater for $25.00. If the sales tax is 7%, what is the sales tax amount? What is the total price when the sales tax is added to the cost of the sweater?
* Mary has to multiply $25.00 by .07 tax.
* $25.00 x .07 = $1.47 in sales tax
* $25.00 + 1.47 = $26.47 for the sweater
2. Sammy bought a bike with his birthday money. If the bike's price was $252.50 and if he paid 6% sales tax, how much did he pay in all for the bike?
* Again, you have to multiply the money, $252.50 by .06 tax.
* $252.50 x .06 = $15.15 in sales tax
* $252.50 + 15.15 = $267.65 for the bike
3. Anthony bought a new coat for school. The price was $129.00. The sales tax was 5%. How much were the tax and the total cost of the coat?
* Multiply $129.00 by .05 tax.
* $129 x .05 = $6.45 in sales tax
* $129.00 + 6.45 = $135.45 for the coat
4. Teresa bought a McDonald's combo for $3.49. If the tax is 5% how much will she pay for the combo?
* Again, multiply $3.49 by .05 tax.
* $3.49 x .05 = $0.17 in sales tax
* $3.49 + 0.17 = $3.66 for the McDonald's combo
5. Susan bought a new CD at Target for $14.99. If she paid 5% tax, how much would the CD cost her?
* Multiply $14.99 by .05 tax
* $14.99 x .05 = $0.75 in sales tax
* $14.99 + 0.75 = $15.74 for the CD
Appendix B The Smith Family Vacation
| Number |
Purchase, State where
it was purchased,
and sales tax percentage |
Subtotal |
Tax |
Total
(Add the tax to the subtotal
to get
this answer.) |
| 1 |
Lunch at IHOP
State: South Carolina
Percent Sales Tax: 5% |
$24.28 x 05. = |
|
|
| 2 |
Gas and sodas at a Pantry in
State: _______________
Percent Sales Tax: ____ |
$37.00 x ___ |
|
|
| 3 |
Trapp's Family Fruit Stand for a fruit basket
for Aunt Mary
State:_______________
Percent Sales Tax: ____ |
$15.00 x ___ |
|
|
| 4 |
Gas and sodas at Amoco
State:_______________
Percent Sales Tax: ____ |
$30.00 x ____ |
|
|
| 5 |
Lunch at Country Kitchen
State:_______________
Percent Sales Tax: ____ |
$21.50 x ____ |
|
|
| 6 |
Gas/Sodas
State:_______________
Percent Sales Tax: ____
|
$25.00 x ____ |
|
|
| 7 |
Joe's Souvenir Shop and Fruit Stand
State:_______________
Percent Sales Tax: ____ |
$48.95 x ____ |
|
|
| 8 |
Gas/sodas at Dan's Service Center
State: _______________
Percent Sales Tax: ____ |
$20.00 x ___ |
|
|
| 9 |
Drinks to go with lunch packed by Aunt Em and gas for the car
State:_______________
Percent Sales Tax: ____ |
$19.00 x ___ |
|
|
| |
The Smiths are returning home to Columbia! |
|
|
|
| 10 |
Gas and drinks
State:_______________
Percent Sales Tax: ____ |
$22.00 x ____ |
|
|
| 11 |
Gene's Water World Rides
State:_______________
Percent Sales Tax: ____ |
$57.00 x ____ |
|
|
| 12 |
Souvenir's at Gene's Water World
State:_______________
Percent Sales Tax: ____ |
$100.00 x ____ |
|
|
| 13 |
Shell Station for Gas and Drinks
State:_______________
Percent Sales Tax: ____ |
$25.00 x ____ |
|
|
| 14 |
Lunch at Joe's Crab Shack
State:_______________
Percent Sales Tax: ____ |
$43.00 x ___ |
|
|
| 15 |
Shell station 2 for gas
And sodas
State: _______________
Percent Sales Tax: ____ |
$35.00 x ____ |
|
|
| 16 |
Dinner at Marketplace Restaurant
State:_______________
Percent Sales Tax: ____ |
$47.00 x ____ |
|
|
| 17 |
Gas/ Drinks
State: _______________
Percent Sales Tax:_____ |
$28.00 x ____ |
|
|
| 18 |
Lunch at Red Lobster
State: _______________
Percent Sales Tax:_____ |
$35.00
x ____ |
|
|
| 19 |
Gas/ drinks...Last Stop before the Smith's gets back home! |
$27.00 x ____ |
|
|
|
Total Prices ( Add all money totals.)
This is the cost of the Smith Family Vacation. |
|
|
