This Section Bundle will help your AP Calculus Students practice implicit differentiation. During this bundle activities, students will find the first and second derivative of implicitly defined functions. They will also find the equation of a line tangent to an implicitly defined function at a given point. To successfully complete this activity students must be familiar with the basic differentiation rules; product rule; quotient rule; chain rule; implicit differentiation; and derivatives of exponential, logarithmic, and trigonometric functions.

Included in this resource:

✔ Student's Guided Notes (4 pages)

✔ Teacher's Guided Notes Answer Key (4 pages)

✔ Implicit Differentiation Practice 1 (3 pages)

✔ Implicit Differentiation Practice 2 (3 pages)

✔ Practice Activity Answer Keys Included (6 pages)

✔ 8 Skill Building Bell Ringer Questions (2 pages)

✔ 8 Short Response Bell Ringer Questions (4 pages)

✔ 4 Extended Response Bell Ringer Questions (4 pages)

✔ Worked Out Solution Answer Keys to each Bell Ringer Question (10 pages)

✔ Black and White Printable Version of each Bell Ringer Question (10 pages)

✔ Check Point: Implicit Differentiation 1 (2 pages)

✔ Check Point: Implicit Differentiation 2 (2 pages)

✔ Check Point: Answer Keys Included (4 pages)

Summary of Content

• The four page student's Guided Notes handout helps your students stay focus and engaged as you introduce implicit differentiation to them. You will find the guided notes help students organize lecture content and actively respond to material presented in the lesson.
• This bundle includes two Implicit Differentiation Practice Activities. I usually assign the first practice activity to my class as either a classwork or a homework assignment. Then I give the second practice activity to any students that need additional practice, re-teaching practice, or as additional practice prior to an assessment.
• The Bell Ringer Activity Cards were developed to provide my students with additional review for the AP Calculus exam. In my class, I will use the skill building questions as bell ringer activities at the beginning of a lesson to focus the students attention on math and/or to review previous materials. I use the short response question as either a closing activity or as review on AP Calculus Test review days. The extended response cards are used on "Free-Response Fridays" or class days I have set assign to practice solving free response questions as my class prepares for the AP calculus exam.

The Bell Ringer Activity is divided into three categories:

• • Skill Building Practice - The problems reflect the skills or objective highlighted in this packet. It should take the students less than 5 minutes to complete each skill building problem.
  • Short-response Practice - These problems require short explanation or numerical responses to show that the student knows the answer, and can explain and/or show evidence of how he go it. A small number of steps are required to solve each problem. Students will take between 5 to 10 minutes to complete each short-response problem.
  • Extended-response Practice - These problems take care and careful thought. These problems are designed to measure the student's ability to integrate knowledge across multiple standards. To completely solve each problem, students are required to show multiple steps and/or show evidence of how she got the answer. Students will take between 15 to 25 minutes to complete each extended response problem.

• Implicit Differentiation Check Point Activities can be used in multiple ways depending on the needs of your students. Most of the time I will use them as either exit tickets -- to assess my students learning at the end of the lesson, warm-ups -- to evaluate students learning at the beginning of the next lesson, or topic quizzes -- to obtain a formal assessment of students understanding of the lesson

Related Products that Might Interest You:

☞ Derivative Unit Bundle

☞ Equation of Tangent and Normal Lines Section Bundle

☞ Differentiation Rules Section Bundle

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