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1,623 results

Higher education calculus worksheets

Preview of CALCULUS MEGA BUNDLE -- REVISED AUGUST 2021

CALCULUS MEGA BUNDLE -- REVISED AUGUST 2021

This MEGA BUNDLE contains 65 calculus circuits. The chapters are as follows with the number of circuits in each chapter:Precalculus Review (5)Limits (3)Derivatives (11)Applications of Derivatives (9)Integrals and Antiderivatives (13)Differential Equations & Applications of the Integral (9)Cal 1 Review & Mixed Topics (8)Additional Topics (6)What in the world is a mathematical circuit? It is a series of exercises, carefully strung together to maximize one’s time practicing. This bundle re
Preview of AP Calculus AB-BC Target Practice

AP Calculus AB-BC Target Practice

⭐⭐ AP Calculus Target Practice Bundle for AB-BC students:As we approach the AP Calculus AB-BC Exam, many students need a topical approach to the types of questions they will be asked to complete on the AP Calculus AB-BC Exam. In this resource, you will find the following 22 concepts for students to “aim for success.” ⭐⭐✅In this packet, you will find the following concepts for students to “aim for success.” Topics 17-22 are for the AP Calculus BC concepts.Know Your LimitsThis Seems So Derivative
Preview of Evaluating the Definite Integral Color Worksheet

Evaluating the Definite Integral Color Worksheet

Created by
Aric Thomas
25 unique and thought out questions on evaluating simple definite integrals. This worksheet has no trigonometric or transcendental functions and all of the problems can be evaluated without the need of a calculator. Each question corresponds to a matching answer that gets colored in to form a symmetrical design. Not only does this make it fun and rewarding for students but it also makes it easy for students and teachers to know if the worksheet has been completed correctly. Great for classwo
Preview of Circuit Training - Product, Quotient, and CHAIN Rules (calculus)

Circuit Training - Product, Quotient, and CHAIN Rules (calculus)

I wrote this circuit because as we move into the chain rule, my students still don't have fluency with the product and quotient rules (boo!). So, this circuit really plays on functions that seem structurally similar but are very different... y = x^2 + cosx vs y = x^2cosx. Or, y = cos (x^2) as opposed to y = (cos x)^2 (of course without parentheses). Students begin in the first cell and find either the first or second derivative (as specified) to advance in the circuit. The students then sea
Preview of Calculus Full Curriculum BUNDLE

Calculus Full Curriculum BUNDLE

Created by
Hoff Math
If you are also looking for notes, worksheets, assessments, and activities that cover the entire year of Calculus, then you have come to the right place!This bundle contains everything you need to teach a full year of Calculus: notes, homework, assessments, activities, and a project. Imagine the hours of planning time you will save when you purchase this bundle!This curriculum was designed for a NON-AP Calculus class.For a COMPLETE LIST of all resources in this bundle, you can download the Table
Preview of Circuit Training - Related Rates (calculus)

Circuit Training - Related Rates (calculus)

Give your students engaging practice with the circuit format! This 12-question circuit contains all of the traditional related rates problems -- ladder sliding down a wall, growing conical salt pile, deflating balloon, plus a few extras such as a profit function and Charlie Brown flying a kite. To advance in the circuit, students must hunt for their answer and then that becomes the next problem. There is no trig on this circuit so it could definitely be used in a college business calculus clas
Preview of Circuit Training - Limits (calculus)

Circuit Training - Limits (calculus)

Your students will work every single one of these 24 limits problems because of the circuit format. To advance in the circuit, students must find their answers -- this element of self-check is essential! My students don't get up when the bell rings and they are working on a circuit! The problems are progressive in nature and contain a little bit of everything, including trig and transcendentals. No answer key is included as the answers are part of the circuit. This can be used as guided not
Preview of Circuit Training - Implicit Differentiation (calculus)

Circuit Training - Implicit Differentiation (calculus)

Give your students engaging practice with the circuit format! In order to advance in the circuit, students must search for their answer (sometimes it is dy/dx evaluated at a specified point, sometimes it is just dy/dx). These 16 questions are progressive in nature and so it could even be used as guided notes. I generally use circuits after I have given only a few examples in notes, then let the idea unfold for the students as they work quasi-cooperatively on the circuit. This format has allo
Preview of Circuit Training - U-Substitution with Definite Integrals (calculus)

Circuit Training - U-Substitution with Definite Integrals (calculus)

This 20-question circuit will keep your students highly engaged and give them great practice with the technique of substitution. After students evaluate the definite integral, they must search for their answer and this problem becomes the next definite integral for them to work. Includes trig, log, and exponential functions. There is one inverse tangent integrand 1/(1+x^2) which does not require u-substitution, but I always include these when I teach u-sub since students confuse that one.My s
Preview of Identifying Graphs of First and Second Derivatives Activity

Identifying Graphs of First and Second Derivatives Activity

Created by
Math Giraffe
Derivatives & Second Derivatives - Graphing Concepts:This activity requires students to match up the graph of a function with the graphs of its 1st and 2nd derivative. This will help students to visually compare graphs and see how slopes at different points transfer to the graph of the derivative.The activity does not require differentiation, just the understanding of what a derivative means in terms of the graph. Students cut out 10 squares with the f'(x) and f''(x) graphs mixed up. They
Preview of AP Calculus Optimization Discovery Project with M&Ms!

AP Calculus Optimization Discovery Project with M&Ms!

Created by
AP Math Sources
Optimization is a tricky topic in calculus. This one-day activity allows students to discover how calculus can help them. Each student (or small group) starts with an index card, which will be cut and folded up to form a box. First they calculate what would happen if the box is made various ways, and see that the volume changes depending on the size of the cuts.Next students develop an equation and apply calculus to determine how to create a box with maximum volume - so that they can fill it up
Preview of Circuit Training - Limits and Continuity (Calculus)

Circuit Training - Limits and Continuity (Calculus)

Give your students great practice for their limits and continuity test with this 28-question review in the circuit format. To advance in the circuit, students must search for their answer, and when they find it, that becomes the next problem. This circuit covers limits of the indeterminant forms 0/0 and infinity/infinity (students can evaluate all limits in this circuit without technology and without calculus (L'Hospital's rule is not needed)). Additional questions feature removable and non-r
Preview of Circuit Training - Derivatives of Inverse Functions (calculus)

Circuit Training - Derivatives of Inverse Functions (calculus)

Give your students engaging practice with the circuit format! This circuit contains 14 derivatives of inverse functions. The problems start easy where it is simple to find the inverse and then differentiate, and then they progress from there. All functions are represented from trig and exponential to square root, cubic, and logarithmic. There are also some questions with pure symbolic notation and/or a table at the end. To advance in the circuit, students must search for their answer and
Preview of Circuit Training - Optimization (calculus)

Circuit Training - Optimization (calculus)

Give your students engaging practice with the circuit format! This circuit has 12 word problems which start easy and build from there. Expect to see the farmer problem and the open-top box problem... To advance in the circuit, students must find their answer, and with that answer is a new problem. My students love this format! In this circuit, there are no pictures and students will be expected to interpret the questions and sketch appropriate pictures. Technology is required on most problem
Preview of Circuit Training - Precal / Trig  for (AP) Calculus CALCULATOR

Circuit Training - Precal / Trig for (AP) Calculus CALCULATOR

These 20 problems are great to use with your calculus students within the first few days of the school year. Reviews everything from asymptotes to domain and range, logs to sine and cosine. Worked in are calculus ideas such as average rate of change vs instantaneous rate of change, all while ensuring that they know how to use their graphing calculator to assist in their analysis. The circuit format allows your students to work semi-independently since they hunt for their answer to advance in
Preview of Circuit Training - f, f', and f'' (calculus)

Circuit Training - f, f', and f'' (calculus)

Give your students engaging practice with the circuit format! This 16-question circuit asks students about increasing / decreasing, max/min, concavity and inflection points based on their analysis of the first and/or second derivatives. Progressive in nature, it includes quite a few polynomials, a trig function, an exponential function, a rational function, a square root function, an exponential function, and a few absolute value composite functions. Product rule and chain rule are needed on
Preview of Calculus Related Rates Practice Problems NO PREP

Calculus Related Rates Practice Problems NO PREP

Created by
Joan Kessler
Are you looking for a challenging Calculus problem set on basic Related Rates without overwhelming your students? Your students will will work through the problems, first setting them up, then solving these basic related rates problems giving them extra practice. What's Included?Four problems including volume, distance, balloon, and a conical volume. with room for students to show their work.Full typed solutions making this a NO PREP activity. Great for in-class problem sets, tests, or homework
Preview of Circuit Training - U-Substitution Indefinite Integrals (calculus)

Circuit Training - U-Substitution Indefinite Integrals (calculus)

Give your students engaging practice with the circuit format! Your students will want to evaluate every one of these 20 indefinite integrals (all require u-substitution) because in order to advance in the circuit, one must find one's answer and that becomes the next problem to work. My students love this format and they do not get up out of their seats when the bell rings!All types of problems are included from trigonometric and exponential functions to logs, square roots, and inverse trig fun
Preview of Calculus Derivatives Before the Chain Rule Task Cards plus HW

Calculus Derivatives Before the Chain Rule Task Cards plus HW

Created by
Joan Kessler
Here is a great way to help your students gain fluency finding Derivatives Before the Chain Rule. With this set of Task or Station Cards your students can work in pairs or small groups to work through the problems.The resource includes 3 sets of 16 task cards for your students to practice finding the Derivatives of functions before the chain rule. Set 1. Power RuleSet 2. Trigonometric Functions (all six) and e^xSet 3. Product Rule and Quotient Rule. What's Included? 48 task cards, coded by
Preview of Circuit Training -- Fundamental Theorem Of Calculus

Circuit Training -- Fundamental Theorem Of Calculus

Engage your students with this self-checking 12-question circuit! I wrote this circuit to help my students with the symbolic notation and easy (but my students don't think so!) computation of functions and their derivatives defined as definite integrals. Most of the problems require FTC Part I, but a few can be done with or require FTC Part II. In many ways my circuits are no prep in that all the teacher has to do is work the circuit ahead of the students to see how the idea unfolds and then
Preview of Circuit Training - Power Rule (calculus)

Circuit Training - Power Rule (calculus)

Give your students engaging practice with the circuit format! This circuit contains 24 equations; students will have to find dy/dx using the power rule ONLY. No product, no quotient, no chain, no trig, no transcendentals. Nevertheless, this is not an easy circuit! Students will have to do a fair bit of algebraic manipulation either before or after taking the derivative. To advance in the circuit, students must search for their answer and this becomes the next problem. Students continue i
Preview of Volumes of Solids with Known Cross Sections - An Exploration in Calculus

Volumes of Solids with Known Cross Sections - An Exploration in Calculus

One of the topics that is difficult for students to grasp is finding the volume of a solid with a known cross section. One reason is that students have difficulty with this topic is that they have difficulty drawing the solid. In this activity the students get to build eight different "solids.”This activity focuses on finding the volume of solids that are built on a two-dimensional surface when cross section cut perpendicular to a known shape. The activity uses the region bounded by the x-axis,
Preview of Circuit Training - Riemann Sums (calculus)

Circuit Training - Riemann Sums (calculus)

Give your students engaging practice with the circuit format! This Riemann sum circuit will require students to estimate area (or amount) using left, right, midpoint, and trapezoidal approximations. Some of the problems are contextual, some straight math. There is no trig on this circuit and there are a lot of tables. To advance in the circuit, students must find their answer and then that becomes the next problem. This element of self-check in the math classroom is essential. My students
Preview of Circuit Training - Advanced Factoring (precalculus)

Circuit Training - Advanced Factoring (precalculus)

All math teachers wish their students would be better at factoring. Your students will get great practice with this essential skill as they work through the circuit. These 20 mixed factoring problems involve every kind of factoring from GCF to sum and difference of cubes. The problems are progressive in nature, and students must hunt for one of their factors to advance in the circuit. The last problem can not be factored, however, because the final answer is showing, students can use syntheti
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