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Derivatives Using Tables and Graphs
Derivatives Using Tables and Graphs
Derivatives Using Tables and Graphs
Derivatives Using Tables and Graphs
Derivatives Using Tables and Graphs
Derivatives Using Tables and Graphs
Derivatives Using Tables and Graphs
Derivatives Using Tables and Graphs
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Description

Derivatives using tables and graphs task card activity will give students an opportunity to practice how to find the derivative from a graph or from a table. These task cards can be used as an individual practice, partner activity or in small groups to allow for collaboration.

Derivatives using tables and graphs activity has 16 task cards. Students will practice taking the derivative of a variety of functions given either a table or graph. They will be applying the power rule, product rule and/or chain rule to find the derivative of any combination of the following functions: general functions (f(x), g(4x), etc), polynomial functions, trig functions (sine and cosine), natural log functions, and exponential functions. This resource also includes two explanation based questions that use the conditions of differentiability.

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

Topics Include:

  • How to find the derivative from a graph
  • How to find the derivative from a table
  • Conditions of differentiability

This product contains 16 task cards in two different layouts.

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

This activity can be split into a multiday activity!

  • Day 1: Task Cards #1 – 8 are all first derivative questions given a table.
  • Day 2: Task Cards #9 – 16 are all first derivative questions given a graph.

This product includes student response sheets, answer key, and 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 or posted on any public websites. 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.

Derivatives Using Tables and Graphs

Rated 4.67 out of 5, based on 3 reviews
4.7 (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

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

Derivatives using tables and graphs task card activity will give students an opportunity to practice how to find the derivative from a graph or from a table. These task cards can be used as an individual practice, partner activity or in small groups to allow for collaboration.

Derivatives using tables and graphs activity has 16 task cards. Students will practice taking the derivative of a variety of functions given either a table or graph. They will be applying the power rule, product rule and/or chain rule to find the derivative of any combination of the following functions: general functions (f(x), g(4x), etc), polynomial functions, trig functions (sine and cosine), natural log functions, and exponential functions. This resource also includes two explanation based questions that use the conditions of differentiability.

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

Topics Include:

  • How to find the derivative from a graph
  • How to find the derivative from a table
  • Conditions of differentiability

This product contains 16 task cards in two different layouts.

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

This activity can be split into a multiday activity!

  • Day 1: Task Cards #1 – 8 are all first derivative questions given a table.
  • Day 2: Task Cards #9 – 16 are all first derivative questions given a graph.

This product includes student response sheets, answer key, and 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 or posted on any public websites. 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

4.7
Rated 4.67 out of 5, based on 3 reviews
3
ratings
All verified TPT purchases
Thank you!
Rated 5 out of 5
February 10, 2026
Thank you! This was very helpful for my honors calc class!
Nichole Carey
(TPT Seller)
79 reviews • South Carolina
Grades taught: 9th, 10th, 11th, 12th
Calculus and Chai
Response from
Calculus and Chai
(TPT Seller)
Mar 8, 2026

I'm so glad these task cards helped your students! Thank you for taking the time to leave a review!

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 4 out of 5
November 23, 2021
Wonderful practice activity.
Nicole B.
346 reviews
Grades taught: 10th
Calculus and Chai
Response from
Calculus and Chai
(TPT Seller)
Dec 4, 2021
Thank you!

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.
Construct viable arguments and critique the reasoning of others. Mathematically proficient students understand and use stated assumptions, definitions, and previously established results in constructing arguments. They make conjectures and build a logical progression of statements to explore the truth of their conjectures. They are able to analyze situations by breaking them into cases, and can recognize and use counterexamples. They justify their conclusions, communicate them to others, and respond to the arguments of others. They reason inductively about data, making plausible arguments that take into account the context from which the data arose. Mathematically proficient students are also able to compare the effectiveness of two plausible arguments, distinguish correct logic or reasoning from that which is flawed, and-if there is a flaw in an argument-explain what it is. Elementary students can construct arguments using concrete referents such as objects, drawings, diagrams, and actions. Such arguments can make sense and be correct, even though they are not generalized or made formal until later grades. Later, students learn to determine domains to which an argument applies. Students at all grades can listen or read the arguments of others, decide whether they make sense, and ask useful questions to clarify or improve the arguments.
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