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Calculus Implicit Differentiation Task Card Activity
Calculus Implicit Differentiation Task Card Activity
Calculus Implicit Differentiation Task Card Activity
Calculus Implicit Differentiation Task Card Activity
Calculus Implicit Differentiation Task Card Activity
Calculus Implicit Differentiation Task Card Activity
Calculus Implicit Differentiation Task Card Activity
Calculus Implicit Differentiation Task Card Activity
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What others say

"This activity provided the necessary practice that my students needed. Definitely will use every year!"
star
Tracy M.

Description

Calculus implicit differentiation task card activity will give students an opportunity to practice a variety of questions with different levels of difficulty. This activity is perfect for students to work on in pairs or groups.

Calculus implicit differentiation practice activity has 16 task cards using all derivative rules (power, product, quotient, and chain rule) with algebraic functions (polynomials and radical functions), trig functions (sine, cosine, and tangent only), and exponential functions.

Topics Include:

  • Finding first derivatives
  • Finding second derivatives
  • First or second derivatives at a point
  • Finding the slope at a point
  • Using implicit differentiation to find equation of tangent lines

Functions Included:

  • Polynomials and Radical Functions
  • Trig Functions – Sine, Cosine, and Tangent
  • Exponential Functions

This product contains 16 task cards in two different layouts.

  • Layout #1 – color option
  • Layout #2 – printer friendly black and white option

This activity can be split into a multiday activity!

  • Day 1: Task Cards #1 – 8 are all first derivative implicit differentiation questions that involve the power, product, quotient, and/or chain rule. Note: Students are asked to not simplify their answers so they can focus on practicing derivative rules.
  • Day 2: Task Cards #9 – 16 involve finding derivatives at a point, second derivatives, and tangent line examples.

All problems are intended to be completed without using a calculator.

This product includes a student response sheet, answer key, and a solution key.

You may also like:

Interested in this resource and more than one of the above resources??

Terms of Use:

This product should only be used by the teacher who purchased it. This product is not to be shared with other teachers. Please buy the correct number of licenses if this is to be used by more than one teacher. A complete terms of use is included in the product.

TpT Store Credits:

You can receive TpT store credits to use on future purchases by leaving feedback on products you buy! Just click on “My Purchases” under “Buy”.

If you have any questions please contact me by email at calculusandchai@gmail.com

Thank you for shopping in my store!

Kelly Blakeman

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Calculus Implicit Differentiation Task Card Activity

Rated 5 out of 5, based on 3 reviews
5.0 (3 ratings)
Calculus and Chai
209 Followers
$3.00

Highlights

Digital downloads
Grades icon
Grades
11th - 12th, Higher Education
Subjects icon
Subjects
Standards icon
Standards
Pages
16 Task Cards + Student Response Sheet + Answer Key + FULL Typed Solution Key
Answer Key
Included
Teaching Duration
1 hour

What others say

"This activity provided the necessary practice that my students needed. Definitely will use every year!"
star
Tracy M.

Save even more with bundles

Calculus derivative practice task card BUNDLE includes the following six task card activities for a total of 128 problems!!! Click the links to view each activity. Using these task card activities will be a comprehensive practice for students on how to find derivatives of functions, derivatives at a
Price $12.00Original Price $15.00Save $3.00
6

Description

Calculus implicit differentiation task card activity will give students an opportunity to practice a variety of questions with different levels of difficulty. This activity is perfect for students to work on in pairs or groups.

Calculus implicit differentiation practice activity has 16 task cards using all derivative rules (power, product, quotient, and chain rule) with algebraic functions (polynomials and radical functions), trig functions (sine, cosine, and tangent only), and exponential functions.

Topics Include:

  • Finding first derivatives
  • Finding second derivatives
  • First or second derivatives at a point
  • Finding the slope at a point
  • Using implicit differentiation to find equation of tangent lines

Functions Included:

  • Polynomials and Radical Functions
  • Trig Functions – Sine, Cosine, and Tangent
  • Exponential Functions

This product contains 16 task cards in two different layouts.

  • Layout #1 – color option
  • Layout #2 – printer friendly black and white option

This activity can be split into a multiday activity!

  • Day 1: Task Cards #1 – 8 are all first derivative implicit differentiation questions that involve the power, product, quotient, and/or chain rule. Note: Students are asked to not simplify their answers so they can focus on practicing derivative rules.
  • Day 2: Task Cards #9 – 16 involve finding derivatives at a point, second derivatives, and tangent line examples.

All problems are intended to be completed without using a calculator.

This product includes a student response sheet, answer key, and a solution key.

You may also like:

Interested in this resource and more than one of the above resources??

Terms of Use:

This product should only be used by the teacher who purchased it. This product is not to be shared with other teachers. Please buy the correct number of licenses if this is to be used by more than one teacher. A complete terms of use is included in the product.

TpT Store Credits:

You can receive TpT store credits to use on future purchases by leaving feedback on products you buy! Just click on “My Purchases” under “Buy”.

If you have any questions please contact me by email at calculusandchai@gmail.com

Thank you for shopping in my store!

Kelly Blakeman

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Reviews

5.0
Rated 5 out of 5, based on 3 reviews
3
ratings
All verified TPT purchases
Rated 5 out of 5
November 16, 2024
This activity provided the necessary practice that my students needed. Definitely will use every year!
Tracy M.
62 reviews
Grades taught: 11th, 12th
Rated 5 out of 5
October 27, 2023
This is a good resource for kids who need extra review.
290 reviews
Grades taught: 11th, 12th
Rated 5 out of 5
April 7, 2022
Easy to use in the classroom. Great for extra practice.
Ana D.
151 reviews
Grades taught: 12th
Student populations: Learning difficulties
Calculus and Chai
Response from
Calculus and Chai
(TPT Seller)
Nov 29, 2022
I'm glad it was easy to use and helped your students!

Questions & Answers

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Standards

to see state-specific standards (only available in the US).
Make sense of problems and persevere in solving them. Mathematically proficient students start by explaining to themselves the meaning of a problem and looking for entry points to its solution. They analyze givens, constraints, relationships, and goals. They make conjectures about the form and meaning of the solution and plan a solution pathway rather than simply jumping into a solution attempt. They consider analogous problems, and try special cases and simpler forms of the original problem in order to gain insight into its solution. They monitor and evaluate their progress and change course if necessary. Older students might, depending on the context of the problem, transform algebraic expressions or change the viewing window on their graphing calculator to get the information they need. Mathematically proficient students can explain correspondences between equations, verbal descriptions, tables, and graphs or draw diagrams of important features and relationships, graph data, and search for regularity or trends. Younger students might rely on using concrete objects or pictures to help conceptualize and solve a problem. Mathematically proficient students check their answers to problems using a different method, and they continually ask themselves, "Does this make sense?" They can understand the approaches of others to solving complex problems and identify correspondences between different approaches.
Reason abstractly and quantitatively. Mathematically proficient students make sense of quantities and their relationships in problem situations. They bring two complementary abilities to bear on problems involving quantitative relationships: the ability to decontextualize-to abstract a given situation and represent it symbolically and manipulate the representing symbols as if they have a life of their own, without necessarily attending to their referents-and the ability to contextualize, to pause as needed during the manipulation process in order to probe into the referents for the symbols involved. Quantitative reasoning entails habits of creating a coherent representation of the problem at hand; considering the units involved; attending to the meaning of quantities, not just how to compute them; and knowing and flexibly using different properties of operations and objects.
Attend to precision. Mathematically proficient students try to communicate precisely to others. They try to use clear definitions in discussion with others and in their own reasoning. They state the meaning of the symbols they choose, including using the equal sign consistently and appropriately. They are careful about specifying units of measure, and labeling axes to clarify the correspondence with quantities in a problem. They calculate accurately and efficiently, express numerical answers with a degree of precision appropriate for the problem context. In the elementary grades, students give carefully formulated explanations to each other. By the time they reach high school they have learned to examine claims and make explicit use of definitions.
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