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PowerPointProductChallenge.pdf
PowerPoint Product Challenge
POWERPOINT PRODUCT CHALLENGE
Choose It → Create It → Share It
This week, instead of simply reading the PowerPoints and taking notes, you will turn the content provided into something that could help another student understand the mathematics.
You may use AI to help create your product, but YOU are responsible for the thinking, checking, and mathematics. You may complete this assignment individually or with one partner.
1. CHOOSE IT Choose ONE of the two PowerPoints provided this week. After reviewing your selected PowerPoint, choose ONE product from the Choice Board below to show what you learned.
STUDY GUIDE Create a one-page visual study guide that teaches the important mathematics.
TEACH IT Create a 2–3 minute mini-lesson teaching an important concept or example.
FIND THE ERROR Turn a correct example into a believable incorrect solution. Find the error, explain it, and fix it.
REAL-LIFE MATH Put mathematics from the PowerPoint into a realistic situation and explain the connection.
CONCEPT MAP Create a visual map connecting vocabulary, formulas, examples, and mathematical ideas.
MATH COMIC Turn mathematics from the PowerPoint into a short comic or graphic story.
INFOGRAPHIC Create an infographic that teaches the mathematics using visuals and explanations.
MATH ROAD MAP Create a decision tree or flowchart showing how to decide what mathematical method or formula to use.
WILD CARD Create your own type of product that teaches the mathematics and meets all assignment requirements.
2. CREATE IT Use information from at least 3 slides in your selected PowerPoint.
Your product must include the same 4 clearly labeled parts:
SEE IT — What is it?
Identify the mathematical concept, formula, procedure, graph, or idea you selected from the PowerPoint.
SAY IT — What does it mean?
Explain the mathematics in your own words as if you were helping another student understand it. Do not simply copy the explanation from the PowerPoint.
DO IT — How does it work?
Use mathematics or an example from the PowerPoint. Show the important mathematical steps needed for another student to understand how the example works.
CONNECT IT — Why does it matter?
Explain how the mathematics connects to a real situation, another mathematical idea, OR something important a student should remember.
PowerPoint Product Challenge
LABEL YOUR WORK Your instructor should not have to search through your product to determine where each requirement is located.
Use the guide below to help you label your work based on the product you have chosen.
Study Guide Use four labeled sections.
Teach-It Video Display or say each label as you move through your lesson.
Find the Error Organize your investigation under the four labels.
Real-Life Math Use the labels as headings for your scenario and explanation.
Concept Map Create four clearly identified branches or areas.
Math Comic Include the labels in individual panels or above groups of panels.
Infographic Create four labeled sections.
Math Road Map Make the four labels stops or stages along your road map.
Wild Card Use the four labels somewhere in your creative format.
USING AI You MAY use AI to help with:
• Design and layout • Images or illustrations • Characters or dialogue • Organization • Video scripts • Comic layouts • Infographic designs • Realistic situations • Making your presentation more engaging AI may help you transform the mathematics, but it should not replace your understanding of it.
PowerPoint Product Challenge
3. SHARE IT
First, COPY AND COMPLETE THIS AT THE TOP OF YOUR POST:
POWERPOINT: ______________________________________________
PRODUCT: _________________________________________________
SLIDES USED: __________, __________, __________
I WORKED (individually or with a partner) _______________________________________________
AI USED: Yes / No
MY CHECK: One thing I personally checked, corrected, changed, or improved was: _________________
SECOND, UPLOAD YOUR PRODUCT
4. RESPOND TO ONE CLASSMATE After sharing your product, choose ONE classmate who created a different product or used the other PowerPoint whenever possible.
Review ONE classmate's product, choosing a different product or PowerPoint when possible. Then post a 3–2–1 Response:
3 — Things You Noticed: Identify 3 specific things that stood out in their See It, Say It, Do It, or Connect It sections.
2 — Things You Learned: Share 2 mathematical ideas their product helped you understand or remember.
1 — Question or Connection: Ask 1 thoughtful question about the mathematics OR make 1 additional connection to their work.
Be specific and show that you carefully reviewed the mathematics. “Good job” or “I like your project” does not count as a complete response.
PowerPoint Product Challenge
GRADING — 30 POINTS
Category MEETS — 5 pts DEVELOPING — 3 pts MISSING — 0 pts PowerPoint Evidence Clearly uses the
selected PowerPoint and identifies at least 3 relevant slides.
PowerPoint is used, but slide evidence is incomplete or unclear.
Little evidence that the PowerPoint was used.
See It + Say It Both sections are clearly labeled and easy to locate. Mathematics is correctly identified and explained in the student's own words.
Sections are present but labeling, explanation, or understanding needs development.
Sections are substantially missing or demonstrate major misunderstanding.
Do It + Connect It Both sections are clearly labeled and easy to locate. Mathematics is correctly demonstrated and a meaningful connection is explained.
Sections are present but mathematical work or connection needs development.
Sections are substantially missing.
Student Thinking + AI Use
Student's own thinking is evident. If AI is used, its work is checked and meaningfully changed, corrected, improved, or personalized.
Some student thinking is evident, but checking or personalization needs development.
Little evidence of student's own thinking or responsible AI use.
Finished Product + Accuracy
Product is complete, organized, mathematically accurate, and helps another student understand the concept.
Product is mostly complete but contains errors or areas that are difficult to follow.
Product is substantially incomplete or contains major mathematical errors.
Peer Response Meaningful response clearly identifies something learned from a classmate's product and explains why it helped.
Response is present but superficial or incomplete.
Required peer response is missing.
TOTAL: 30 POINTS Product: 25 points Peer Response: 5 points
Lesson8.6.pptx
CHAPTER 8
Personal Finance
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ALWAYS LEARNING
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8.6
Cars
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Objectives
1. Compute the monthly payment and interest costs for a car loan.
2. Compute the monthly car payment for a car loan using a spreadsheet.
3. Understand the types of leasing contracts.
4. Understand the pros and cons of leasing versus buying a car.
5. Understand the different kinds of car insurance.
6. Compare monthly payments on new and used cars.
7. Solve problems related to owning and operating a car.
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3
Mathematics of Financing a Car
A loan that you pay off with weekly or monthly payments, or payments in some other time period, is called an installment loan. The advantage of an installment loan is that the consumer gets to use a product immediately. The disadvantage is that the interest can add a substantial amount to the cost of a purchase. Let’s begin with car loans in which you make regular monthly payments, called fixed installment loans.
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Loan Payment Formula for Fixed Installment Loans
The regular payment amount, PMT, required to repay a loan of P dollars paid n times per year over t years at an annual rate r is given by
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ALWAYS LEARNING
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Example 1: Comparing Car Loans
Suppose that you decide to borrow $30,000 for a new car. You can select one of the following loans, each requiring regular monthly payments:
Installment Loan A: four-year loan at 3%
Installment Loan B: six-year loan at 4%.
a. Find the monthly payments and the total interest for Loan A.
b. Find the monthly payments and the total interest for Loan B.
c. Compare the monthly payments and total interest for the two loans.
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ALWAYS LEARNING
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Example 1: Comparing Car Loans (continued)
a. Determine the monthly payment and total interest for Loan A.
Monthly payment are about $644.
Interest: $644(48) − $30,000
= $1872
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ALWAYS LEARNING
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7
Example 1: Comparing Car Loans (continued)
b. Determine the monthly payment and total interest for Loan B.
Monthly payment are about $469.
Interest: $469(72) − $30,000
= $3768
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ALWAYS LEARNING
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Example 1: Comparing Car Loans (continued)
c. Compare
| $30,000 loan | Monthly Payment | Total Interest |
| 4-year loan at 7% | $664 | $1872 |
| 6-year loan at 9% | $469 | $3768 |
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ALWAYS LEARNING
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The Leasing Alternative
Leasing is the practice of paying a specified amount of money over a specified time for the use of a product. Leasing is essentially a long-term rental agreement.
A closed-end lease: Each month, you make a fixed payment based on estimated usage. When the lease ends, you return the car and pay for mileage in excess of your estimate.
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ALWAYS LEARNING
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The Leasing Alternative (continued)
An open-end lease: Each month you make a fixed payment based on the car’s residual value. Residual value is the estimated resale value of the car at the end of the lease and is determined by the dealer. When the lease ends, you return the car and make a payment based on its appraised value at that time compared to its residual value. If the appraised value is less than the residual value stated in the lease, you pay all or a portion of the difference. If the appraised value is greater than or equal to the residual value, you owe nothing and you may receive a refund.
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Advantages
Leases require only a small down payment, or no down payment at all.
Lease payments for a new car are lower than loan payments for the same car. Most people can lease a more expensive car than they would be able to buy.
When the lease ends, you return the car to the dealer and do not have to be concerned about selling the car.
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Disadvantages
• When the lease ends, you do not own the car.
• Most lease agreements have mileage limits: 12,000 to 15,000 miles per year is common. If you exceed the number of miles allowed, there can be considerable charges.
• When mileage penalties and other costs at the end of the leasing period are taken into consideration, the total cost of leasing is almost always more expensive than financing a car.
• While leasing the car, you are responsible for keeping it in perfect condition. You are liable for any damage to the car.
• Leasing does not cover maintenance.
• There are penalties for ending the lease early.
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ALWAYS LEARNING
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Auto Insurance
When you purchase insurance, you buy protection against loss associated with unexpected events. Different types of coverage are associated with auto insurance, but the one required by nearly every state is liability. There are two components of liability coverage:
• Bodily injury liability covers the costs of lawsuits if someone is injured or killed in an accident in which you are at fault.
• Property damage liability covers damage to other cars and property from negligent operation of your vehicle.
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Auto Insurance (continued)
Collision coverage pays for damage or loss of your car if you’re in an accident.
• Comprehensive coverage protects your car from perils such as fire, theft, falling objects, acts of nature, and collision with an animal.
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Example 3: Saving Money with a Used Car
Suppose that you are thinking about buying a car and have narrowed down your choices to two options:
• The new-car option: The new car costs $35,000 and can be financed with a four-year loan at 2.9%.
• The used-car option: A three-year-old model of the same car costs $24,000 and can be financed with a five-year loan at 3.6%.
What is the difference in monthly payments between financing the new car and financing the used car?
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ALWAYS LEARNING
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Example: (cont)
Determine the monthly payments for the new car that costs $35,000, financed with a five-year loan at 2.9%.
The monthly payments for the new car are approximately $627.
Example 3: Saving Money with a Used Car (continued)
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Example 3: Saving Money with a Used Car (continued)
Alternately, determine the monthly payments for the used car that costs $24,000, financed with a five-year loan at 3.6%.
The monthly payments for the used car are approximately $438. The difference in monthly payments between the new-car loan, $627, and the used-car loan, $438, is $627 − $438, or $189.
Copyright © 2023, 2019, 2015 Pearson Education, Inc.
ALWAYS LEARNING
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The Money Pit of Car Ownership
Buying a car is a huge expense. To make matters worse, the car continues costing money af
