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Calculus Limit Review Task Card Practice Activity
Calculus Limit Review Task Card Practice Activity
Calculus Limit Review Task Card Practice Activity
Calculus Limit Review Task Card Practice Activity
Calculus Limit Review Task Card Practice Activity
Calculus Limit Review Task Card Practice Activity
Calculus Limit Review Task Card Practice Activity
Calculus Limit Review Task Card Practice Activity
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Description

Calculus limit review task card activity can be used in your classroom in many different ways. Students can work individually or collaborate together to solve the task cards; either way they will be reinforcing the skill of how to find a limit algebraically.

Calculus limit review activity has 24 task cards that include a variety of different limit problems. Students will practice computing limits algebraically through examples that involve factoring and reducing common factors, multiplying by the conjugate, and finding a least common denominator. Students will also practice trig functions limits, limits with infinity, infinite limits as well as some direct substitution limits mixed throughout.

This task card activity will give students the chance to practice and improve their skills of computing limits algebraically while reviewing important concepts from prior classes (factoring, conjugates, LCD, alternative forms of trigonometric functions). This activity is designed for students that have NOT learned L’Hospital’s Rule but can also be used as an end of the year review once students have learned L'Hopital's Rule.

This product contains 24 task cards in two different layouts.

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

This activity can be easily split into a multiday activity!

  • Day 1 – Task Cards #1 – 12 are limits involving factoring, conjugates, LCD and direct substitution.
  • Day 2 – Task Cards #13 – 24 are limits involving trigonometry limits, limits at infinity, infinite limits, and direct substitution.

Topics Include:

  • Direct Substitution
  • Computing limits algebraically (factoring, conjugates, LCD)
  • Limits for Trig Functions
  • Limits at Infinity
  • Infinite Limits

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

The student response sheet has space for four problems per page giving students plenty of space to solve and show work. Total of 6 pages for the student response sheet but can be printed doubled sided to save paper.

The answer key & hints sheet comes in 3 layout options depending on if you choose to split up the activity over two days or not.

  • Option 1: Contains answers and hints for all 24 problems.
  • Option 2: Contains answers and hints for #1 – 12 only.
  • Option 3: Contains answers and hints for #13 – 24 only.

All options are perfect for posting around the room for students to use when they are ready to check their answers or if they need a hint to help them get started solving.

The solution key has a detailed solution for each problem and includes extra commentary on some conceptually challenging problems to help with student understanding.

You may also like:

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 Limit Review Task Card Practice Activity

Rated 4.5 out of 5, based on 4 reviews
4.5 (4 ratings)
Calculus and Chai
209 Followers
$3.00

Highlights

Digital downloads
Grades icon
Grades
11th - 12th, Higher Education
Standards icon
Standards
Pages
24 task cards + student recording sheets + complete SOLUTION key
Answer Key
Included
Teaching Duration
1 hour

Description

Calculus limit review task card activity can be used in your classroom in many different ways. Students can work individually or collaborate together to solve the task cards; either way they will be reinforcing the skill of how to find a limit algebraically.

Calculus limit review activity has 24 task cards that include a variety of different limit problems. Students will practice computing limits algebraically through examples that involve factoring and reducing common factors, multiplying by the conjugate, and finding a least common denominator. Students will also practice trig functions limits, limits with infinity, infinite limits as well as some direct substitution limits mixed throughout.

This task card activity will give students the chance to practice and improve their skills of computing limits algebraically while reviewing important concepts from prior classes (factoring, conjugates, LCD, alternative forms of trigonometric functions). This activity is designed for students that have NOT learned L’Hospital’s Rule but can also be used as an end of the year review once students have learned L'Hopital's Rule.

This product contains 24 task cards in two different layouts.

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

This activity can be easily split into a multiday activity!

  • Day 1 – Task Cards #1 – 12 are limits involving factoring, conjugates, LCD and direct substitution.
  • Day 2 – Task Cards #13 – 24 are limits involving trigonometry limits, limits at infinity, infinite limits, and direct substitution.

Topics Include:

  • Direct Substitution
  • Computing limits algebraically (factoring, conjugates, LCD)
  • Limits for Trig Functions
  • Limits at Infinity
  • Infinite Limits

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

The student response sheet has space for four problems per page giving students plenty of space to solve and show work. Total of 6 pages for the student response sheet but can be printed doubled sided to save paper.

The answer key & hints sheet comes in 3 layout options depending on if you choose to split up the activity over two days or not.

  • Option 1: Contains answers and hints for all 24 problems.
  • Option 2: Contains answers and hints for #1 – 12 only.
  • Option 3: Contains answers and hints for #13 – 24 only.

All options are perfect for posting around the room for students to use when they are ready to check their answers or if they need a hint to help them get started solving.

The solution key has a detailed solution for each problem and includes extra commentary on some conceptually challenging problems to help with student understanding.

You may also like:

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

4.5
Rated 4.5 out of 5, based on 4 reviews
4
ratings
All verified TPT purchases
Rated 5 out of 5
July 31, 2023
I used these with my Precalc and Calc kids undividually or in small groups either in extra help or during AP Review. They could choose to work on these cards if this was an area they felt they needed to concentrate on.
Joanne W.
257 reviews
Grades taught: 11th, 12th
Rated 4 out of 5
September 8, 2022
This was a great resource for my class!
Kaira C.
103 reviews
Grades taught: 12th
Calculus and Chai
Response from
Calculus and Chai
(TPT Seller)
Nov 29, 2022
Thank you!
Rated 4 out of 5
January 30, 2022
I got a lot of use out of this resource. It was great for my calculus kiddos!
Elizabeth O.
83 reviews
Grades taught: 10th, 11th, 12th
Calculus and Chai
Response from
Calculus and Chai
(TPT Seller)
Nov 29, 2022
I'm glad it helped them review!
Rated 5 out of 5
August 30, 2021
I like the layout of these task cards. They will get a workout in my calculus class this year!
Nancy A.
740 reviews
Calculus and Chai
Response from
Calculus and Chai
(TPT Seller)
Sep 8, 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.
Use appropriate tools strategically. Mathematically proficient students consider the available tools when solving a mathematical problem. These tools might include pencil and paper, concrete models, a ruler, a protractor, a calculator, a spreadsheet, a computer algebra system, a statistical package, or dynamic geometry software. Proficient students are sufficiently familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations. For example, mathematically proficient high school students analyze graphs of functions and solutions generated using a graphing calculator. They detect possible errors by strategically using estimation and other mathematical knowledge. When making mathematical models, they know that technology can enable them to visualize the results of varying assumptions, explore consequences, and compare predictions with data. Mathematically proficient students at various grade levels are able to identify relevant external mathematical resources, such as digital content located on a website, and use them to pose or solve problems. They are able to use technological tools to explore and deepen their understanding of concepts.
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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