Continuity of Functions Task Cards Calculus Review

What others say

"I used these task cards as a review activity before the Unit 1 Test. They helped my students feel much more confident on the topic of continuity! I love the variety of questions, and my students enjoyed being able to move around the room and work at the own pace. Awesome resource!"

Hailey G.

Description

Continuity of functions in calculus 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 their skills of using the formal limit-based calculus definition of continuity.

This continuity of functions in calculus activity has 16 task cards that include a variety of different examples. Students will practice proving continuity of a function, determining types of discontinuities from piecewise function graphs, using the definition of continuity to solve for missing coefficients in a piecewise function and determining if a piecewise function is continuous or discontinuous at a point. There are also a couple error analysis task cards that focus on notation and justification skills.

This product contains 16 task cards in two different layouts.

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

Topics Include:

Proving Continuity
Determining Type of Discontinuities (jump, removable and infinite)
Using the Definition of Continuity in a variety of problems
Notation and Justification Error Analysis

This product includes 16 task cards, student response sheets, an answer key, and a full solution key.

The student response sheets have space for four problems per page giving students plenty of space to solve and show work. There are a total of 4 pages for the student response sheet but can be printed doubled sided to save paper.

The answer key is perfect for posting around the room for students to use when they are ready to check their answers. I love to post this upside down and backwards, so students just need to flip the paper up to check their answers, but this keeps it covered from students until they are ready to check.

The typed solution key has a detailed solution for each problem and includes extra commentary on some conceptually challenging problems to help with student understanding. After students are done working, I love to project this for students to view and check their work (especially their notation and justifications!). This opens up the class to some great discussions and is a time saver since everything is already typed up and ready to be projected! I also post this on our school’s password protected LMS for students to reference after class.

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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

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Continuity of Functions Task Cards Calculus Review

Name: Continuity of Functions Task Cards Calculus Review
Brand: Calculus and Chai
SKU: 7040864
Price: 3.00 USD
Availability: InStock
Rating: 4.83 (6 reviews)

Rated 4.83 out of 5, based on 6 reviews

4.8 (6 ratings)

Calculus and Chai

209 Followers

$3.00

Highlights

Digital downloads

PDF

Grades

11th - 12th, Higher Education

Subjects

Calculus, Math

Standards

CCSSMP1

CCSSMP3

CCSSMP6

What others say

Hailey G.

Description

This product contains 16 task cards in two different layouts.

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

Topics Include:

Proving Continuity
Determining Type of Discontinuities (jump, removable and infinite)
Using the Definition of Continuity in a variety of problems
Notation and Justification Error Analysis

This product includes 16 task cards, student response sheets, an answer key, and a full solution key.

You may also like:

Terms of Use:

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.

4.8

Rated 4.83 out of 5, based on 6 reviews

6
ratings

All verified TPT purchases

Great resource

Rated 5 out of 5

January 29, 2026

Met expectations

Great value

Standards-aligned

Absolutely love using these task cards as a review in AP Calc.

Erin G.

62 reviews • North Carolina

Grades taught: 11th, 12th

Response from

Calculus and Chai

(TPT Seller)

Mar 8, 2026

Thank you for the review! I’m so glad these task cards helped your AP Calculus students review continuity.

Rated 5 out of 5

September 30, 2024

I used these task cards as a review activity before the Unit 1 Test. They helped my students feel much more confident on the topic of continuity! I love the variety of questions, and my students enjoyed being able to move around the room and work at the own pace. Awesome resource!

Hailey G.

80 reviews

Grades taught: 11th, 12th

Rated 5 out of 5

July 31, 2023

I used these with my 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

February 7, 2023

I love activities like this for a quick review in class.

Ms Simon

(TPT Seller)

117 reviews

Grades taught: 11th, 12th

Rated 5 out of 5

November 15, 2022

This was a great resource for my high school calculus class. I used it as a review before a quiz. Thank you!

Staci Alleca

(TPT Seller)

112 reviews

Grades taught: 12th

Response from

Calculus and Chai

(TPT Seller)

Nov 29, 2022

I'm so 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

Response from

Calculus and Chai

(TPT Seller)

Sep 8, 2021

Thank you!! So happy they can help your students!!

Questions & Answers

Standards

to see state-specific standards (only available in the US).

CCSSMP1

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.

CCSSMP3

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.

CCSSMP6

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.