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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

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 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

This worksheet of 14 problems reviews rules of derivatives including power rule, product rule, quotient rule, chain rule, and a combination of rules using a table of functions and values. After students complete each problem (or the entire worksheet), they match the answers to the corresponding letters to solve the riddle. There are two printouts you can use: all problems on one side/sheet of paper or split onto two pages to give students more room. An answer key with worked-out solutions is in

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. 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 ac

This worksheet of 12 problems requires students to calculate algebraic and infinite limits, derivatives using multiple rules and strategies, use the Mean Value Theorem, understand how to use continuity for piecewise functions, recognize the limit definition of derivatives, calculate maximum values by applying the first derivative test (and check endpoints), and use implicit differentiation. After students complete each problem (or the entire worksheet), they match the answers to the correspondin

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 valentines accordingly, similar to a color-by-numbers worksheet. This is the perfect fun and relaxing review activity for February, especially ar

This short worksheet reviews finding limits by using a graph of a function and determining continuity. The functions contain jump, point, and infinite discontinuity. Students should be able to evaluate functions at a point using a graph, understand left and right hand limits, evaluate infinite limits, and explain why a function is or is not continuous at a value using the 3-part formal definition of continuity. Don’t forget to leave feedback! I read every comment and greatly appreciate it.

This worksheet of 12 problems requires students to evaluate a variety of definite integrals ( without u-substitution/chain rule). Students will need to know power rule, trig derivatives, inverse trig derivatives, and derivatives of ln(x). After students complete each problem (or the entire worksheet), they match the colors to the letters and color in the valentines accordingly, similar to a color-by-numbers worksheet. This is the perfect fun and relaxing review activity for February, especially

There are a total of 12 problems, and each require students to find equations of tangent, secant, or normal lines. Students only need to know the power rule to find the derivative, but for many of the problems students are given a table of values, a graph of f’(x), or a differential equation to solve for slope. This activity can be used for regular Calculus courses but is especially helpful for AP students (AB or BC), because the problems are similar to questions on the AP test. An answer key w