my calculus exam #1 (100% gets an In-N-Out gift card)
TLDRA calculus teacher motivates students with In-N-Out gift cards for perfect test scores. Only two students achieved 100%, receiving their rewards as promised. The teacher addresses common mistakes, like overlooking vertical asymptotes and incorrect final substitutions. To encourage further, an 8-dollar gift card is offered for a student who missed by one point, and a 6-dollar card for a 96% scorer. The stakes are raised for the next test with a 20-dollar Cheesecake Factory gift card for perfect scores, and an extra multiple-choice question to make the total 104/105 points, requiring exact 100 for the reward.
Takeaways
- 🍔 The teacher motivated calculus students by offering $10 In-N-Out gift cards for getting 100% on their first test.
- 🎉 Only one student from Calculus 1 and one from Calculus 2 achieved 100% on their first test, and they received the promised gift cards.
- 👏 Congratulations were given to Anton and Alex for their perfect scores.
- ❌ A student who got 96% missed a question on vertical asymptotes, resulting in a removable discontinuity mistake.
- 📚 The teacher reviewed the correct solution for finding vertical asymptotes for the function 2x-6 over x^2-2x-3.
- 🔄 The teacher also explained the derivative definition problem, where both options B and C were marked correct due to a notation issue.
- 📐 Another student missed a point for forgetting to write down a '2' in their final substitution for an integral problem.
- 💸 The student who got 96% received a $6 gift card, while the other student received an $8 gift card.
- 🍰 For the second test, the teacher offered $20 Cheesecake Factory gift cards for getting 100%.
- 🔢 To make it more challenging, the teacher added an extra multiple-choice question, making the total points 104 for Calculus 1 and 105 for Calculus 2, requiring exactly 100 points to win the gift card.
Q & A
What was the motivation behind the teacher's action of giving out In-N-Out gift cards?
-The teacher wanted to motivate their calculus students to achieve 100% on their first calculus tests by offering In-N-Out gift cards as a reward.
How many students received the gift cards for scoring 100% on the first test?
-Two students received the gift cards, one from the Calculus 1 class and one from the Calculus 2 class.
What was the student's mistake on the first question of the test?
-The student incorrectly identified the vertical asymptote of the function 2x - 6 over x^2 - 2x - 3, missing the correct answer which is x = -1.
Why was the mistake on the first question significant enough to affect the student's chance of winning the gift card?
-The mistake on the first question resulted in the student scoring 96% instead of 100%, which was the requirement to win the gift card.
What was the teacher's approach to addressing the mistake on the first question?
-The teacher explained the correct method to find the vertical asymptote and clarified the mistake, showing the correct answer is option B.
What was the error made by the teacher regarding the answer choices on the test?
-The teacher accidentally made both answer choices B and C correct for a question that was supposed to have only one correct answer, C.
How did the teacher handle the situation with the student who made a mistake in the final substitution of an integral?
-The teacher decided to deduct one point from the student's score and give them an eight-dollar In-N-Out gift card instead of the ten-dollar one.
What is the new reward for students who score 100% on the second test?
-The new reward for students who score 100% on the second test is a twenty-dollar Cheesecake Factory gift card.
What additional challenge did the teacher introduce for the next test?
-The teacher introduced an extra multiple-choice question to the test, making the total points 104 for the Calculus test and 105 for the Trigonometry test, with the requirement to score exactly 100 points to win the gift card.
What was the teacher's intention behind the new scoring challenge for the next test?
-The teacher's intention was to make the test more challenging and precise, requiring students to aim for exactly 100 points to win the gift card, thus encouraging careful and accurate work.
Outlines
🎓 Motivating Perfect Scores with In-N-Out Gift Cards
The speaker, a calculus teacher, shares a motivational strategy to encourage students to achieve 100% on their first calculus test by offering In-N-Out gift cards as a reward. The teacher highlights the performance of two students, Anton and Alex, who scored perfectly and will receive their promised rewards. The teacher also discusses issues encountered in the test, such as a student missing the first question due to a misunderstanding of vertical asymptotes in a function, and another student's mistake in a limit problem. The teacher acknowledges a mistake in the test by including an incorrect answer option and decides to compensate affected students with reduced-value gift cards. The summary also previews a new challenge for the second test, hinting at a more complex reward system involving a Cheesecake Factory gift card for perfect scores.
📚 Addressing Test Errors and Introducing a New Challenge
This paragraph delves into the specifics of a calculus test question involving the integration of a function and the common mistake made by a student who forgot to include a coefficient in their final answer. The teacher provides a detailed explanation of the correct method to solve the integral, using a substitution technique and the chain rule. The teacher also announces a new element for the upcoming test: an additional multiple-choice question that will make the total points exceed 100, requiring students to score exactly 100 to win a gift card. This adds an extra layer of difficulty and precision to the test. The teacher expresses excitement about this new challenge, not just for the students but also for their own enjoyment in creating it.
Mindmap
Keywords
💡Calculus
💡In-N-Out Gift Cards
💡Vertical Asymptote
💡Factorization
💡Removable Discontinuity
💡Derivative
💡Integral
💡Substitution
💡Cheesecake Factory Gift Card
💡Multiple Choice Question
💡Exact Score Requirement
Highlights
The teacher used In-N-Out gift cards as an incentive for students to achieve 100% on their first calculus tests.
Only one student from each calculus class scored 100%, receiving the promised gift cards.
A student missed a question on vertical asymptotes due to a misunderstanding of the function's factors.
The teacher clarified the correct method to find vertical asymptotes, emphasizing non-zero numerators over zero.
A mistake was made in the test by including an incorrect answer option, leading to a discussion on the derivative definition.
The teacher corrected the mistake and explained the intended answer, highlighting the importance of notation in calculus.
A student's error in an integral problem was pointed out, where the constant factor was omitted during substitution.
The teacher demonstrated the correct method for integrating 1 over the square root of e to the x minus 1, using substitution and differentiation.
The teacher proposed a solution for students who made minor mistakes, offering them gift cards with lesser values as partial rewards.
A new challenge was introduced for the second test, with a higher stakes reward of a Cheesecake Factory gift card for perfect scores.
The teacher added an extra multiple-choice question to the test, requiring students to score exactly 100 points out of a possible 104 or 105.
The teacher emphasized the need for precision, as students must score exactly 100 points to win the gift card.
The transcript showcases an innovative approach to motivating students, using tangible rewards for academic achievement.
The teacher's candid discussion of test mistakes and corrections provides a transparent view of the learning process.
The transcript includes a detailed walkthrough of calculus problems, offering insights into common student misunderstandings.
The teacher's use of humor and personal anecdotes adds a relatable and engaging tone to the educational content.
The transcript concludes with an update on the teacher's plans to keep students motivated and engaged through creative test design.
Transcripts
5.0 / 5 (0 votes)
Thanks for rating: