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A great activity for around Christmas and the Holidays! This activity lets calculus students practice chain and derivative rules but also let loose their inner child with some coloring! Students need to know how to use product rule, chain rule, and basic trig derivatives (sine and cosine). There are two versions included: You can use this as an individual activity or a partner activity. For the partner activity, each partner completes their 11 problems and color the section of the ugly sweat

This card match has 40 cards: Students must match the limit to the function, its derivative, and the answer with the particular x-value. This activity is especially helpful for students taking the AP Calculus AB or BC exam, as some multiple-choice questions require students to a limit as the definition of a derivative to solve. Students are required to know the power rule. Visit the Math Cat Store to find more activities that are engaging for students and time-saving for you! Don't forget t

This worksheet reviews derivatives of the 6 main trig functions (sine, cosine, tangent, cosecant, secant, cotangent), and also reviews unit circle values. Students should have the derivatives of trig functions memorized, and know the unit circle values of the 6 trig functions by memory. Students do not need to know any other rules (such as product rule). After students complete each problem (or the entire worksheet), they match the answers to the corresponding letters to solve the riddle. The p

For this activity, students must match the description of the area between two or more curves to a graph, integral expression, and then calculate the area into a simplified fraction. This activity is best for partners as it encourages teamwork and facilitates discussions to further understanding of this essential topic in Calculus. Students will either need scratch paper or personal whiteboards to complete work. Depending on the amount of time you spend on this activity, you may allow students t

This exam consists of 45 AP-style multiple choice questions. The questions are completely original, but I did write them based on several AP multiple choice exams so that questions are worded and stylized similarly to actual AP exam questions. Like the AP exam, there are 30 non-calculator questions for Part A (problems #1-30), and 15 calculator-okay questions for Part B (problems #76-90). I included 2 printable formats of the exam- one that is like an AP booklet where students have plenty of

I use this activity after students have learned the power rule, and as they’re beginning to understand the relationship between f, f', and f''. Students find f' and f'' using the power rule, then use the graphs of f' (the derivative) and f'' (the second derivative) to graph f. They must use the idea that when f' is positive, f is increasing, and when f' is negative, f is decreasing, as well as connecting f'' to intervals of concavity on f. There are 48 total cards per set- 8 functions and th

I use this activity to review area under the curve and using sigma notation to represent Riemann Sums with left, right, and midpoint rectangles. This activity is best for partners as it encourages team work, reinforces use of vocabulary, and facilitates discussions to further understanding of this essential topic in Calculus and PreCalculus. This is a fun change of pace from just your regular review worksheet day! The file includes the printout for the individual cards, answer sheets for s

This worksheet of 13 problems requires students to evaluate limits using L’hôpital’s rule, but they can also use a variety of other strategies, such as comparing end behavior, definition of a derivative, or simplifying expressions. I would recommend this worksheet for any Calculus student at any level, but especially for AP or IB students, as it uses a wide variety of strategies and representations that often show up on exams. Students match the answers to each problem by filling in the answer t

A great activity for around Christmas and the Holidays! This activity allows calculus or precalculus students to practice solving limits with a variety of strategies but also let loose their inner child with some coloring! Students need to know how to solve basic infinite limits, one-sided limits, and use a variety of algebraic strategies, such as simplifying complex fractions, factoring, and use conjugates of radicals. Version I is a partner activity: Each partner completes their 11 problem

This worksheet of 14 problems requires students to calculate derivatives of sine, cosine, tangent, cosecant, secant, and cotangent functions. Students must be able to use the product, quotient, and chain rules. After students complete each problem (or the entire worksheet), they match the answers to the corresponding letters to solve the riddle. Visit the Math Cat Store to find more activities that are engaging for students and time-saving for you! Don't forget to leave feedback! For every re

This worksheet of 14 problems requires students to use power rule, quotient rule, power rule, chain rule, trig derivatives (sine and cosine), ln(x), and e^x in order to evaluate derivatives at a particular value. I have used this worksheet with both my AP Calculus students and my regular Calculus students. After students complete each problem (or the entire worksheet), they match the answers to the corresponding letters to solve the riddle. Perfect for review in the fall months, especially Novem

This worksheet of 13 problems reviews rules of derivatives including basic trig functions (sine and cosine), power rule, product rule, quotient rule, and chain rule. There are two printouts you can use: all on one sheet or split onto two pages so there is more room. Students match the answers to each problem by filling in the answer to the riddle. Perfect for review in the fall months, such as October or November (or even around Thanksgiving) since it is an autumn-themed worksheet. I use this w

This worksheet of 12 problems requires students to use a table, graph, and several equations in order to find function values and derivatives to use in conjunction with the product, quotient, chain, and trig derivative rules. I would recommend this worksheet for AP or IB students especially, as it uses a wide variety of strategies and representations that often show up on exams. After students complete each problem (or the entire worksheet), they match the answers to the corresponding letters to

Students will need to know how to interpret an integral and its bounds, as well as recognize that area below the x-axis is negative. Shapes are rectangles, triangles, trapezoids, semi-circles, and a combination of shapes. There are 12 integrals. This worksheet is appropriate for AP Calculus as well as non-AP Calculus. An answer key with worked-out solutions is included. For this activity, I cut up the half sheets and post them randomly around my room, allowing students to walk around and work i

I use this activity as a review at the end of the semester (or for my AP students as a review activity for the AP exam). This is especially helpful for students to review all parts of a theorem because I find that my students often forget the conditions of the theorem before they apply it. This activity is best for partners as it encourages team work, reinforces use of vocabulary, and facilitates discussions to further understanding of this essential topic in Calculus. If you have access to

I use this worksheet after I’ve taught students that to take the derivative of an integral is “derivative of the bound times the bound plugged in”. Students should be able to solve a definite integral and solve a derivative of an integral with integer or function bounds using FTC. After students complete each problem (or the entire worksheet), they match the answers to the corresponding letters to solve the riddle. Visit the Math Cat Store to find more activities that are engaging for students

This worksheet is 50 extra practice problems (with full solutions attached) that I use to accompany the College Preparatory Mathematics Calculus course (3rd edition) Chapter 1. These questions were written and prepared by myself and I did not use the problems from the CPM assessment files, nor any copyrighted problems from the textbook. These additional problems are the perfect download for teachers, students, tutors, or parents who want access to extra practice apart from the textbook.

This worksheet of 15 problems requires students to practice power, chain, quotient, and product rules with polynomials, trigonometric, exponential, and natural log functions. This worksheet is appropriate for all levels of Calculus Students, including AP or IB students. Students match the answers to each problem by filling in the answer to the New Years themed Riddle. This is the perfect fun and relaxing review activity for December or January around the New Year and an answer key is included.

This worksheet of 15 problems requires students to evaluate a variety of algebraic limits, including one-sided limits. Students will need to use factoring, multiplying by conjugates, simplifying complex fractions, and direct evaluation. After students complete each problem (or the entire worksheet), they match the colors to the letters and color in the decoration accordingly, similar to a color-by-numbers worksheet. This is the perfect fun and relaxing review activity for December or January ar

Students complete problem #1, find the answer on a different square, mark it as problem #2 and solve, find the answer on a different square, etc. By the time students finish the worksheet, they should return to problem #1. These 15 problems increase in difficulty as the worksheet is completed. Students will need to know how to find derivatives and anti-derivatives of exponential and logarithmic functions with base e or other bases. Students will also need to know the chain rule, product rule, qu