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3,645 results

Higher education calculus resources under $5

Preview of Circuit Training - Precal / Trig Review for (AP) Calculus  NO CALCULATOR

Circuit Training - Precal / Trig Review for (AP) Calculus NO CALCULATOR

These 24 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 limits, tangent lines and average rate of change. The intention is to work all of these without technology to build your students' fluency and wean them off of their calculators. The circuit format allows your students to work semi-independently since they hunt for the
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 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 Calculus Related Rates Sort & Match Activity (Unit 4)

Calculus Related Rates Sort & Match Activity (Unit 4)

If you like group activities, here's a fun RELATED RATES SORT & MATCH ACTIVITY. This Sort & Match Activity is designed for AP Calculus AB students. The concepts will help your students work through the rules for setting up problems, implicit differentiation with respect to time, (including Chain Rule), and solving the basic types of related rates problems.There are eight task cards to present a typical related rate situation. Students will match the task card with the question, to an equ
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 Derivatives Color by Number - No chain Rule

Derivatives Color by Number - No chain Rule

Created by
Joan Kessler
This Calculus Derivatives Color by Number is a fun, engaging activity which includes 16 review questions on derivatives before the chain rule. The power rule, product rule, quotient rules, trig functions, and e^x are included as are applications such as tangent lines, and velocity. Students solve the problems, match the numerical answer to a color, and then color in the design, a Mandala. If desired, students can use their own color scheme. Even big kids love coloringThis can be used as a revi
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 Unit Circle Foldable

Unit Circle Foldable

Have your students create their own unit circle with this foldable template. When they are finished, they will have a multi-level, very organized unit circle with room to write tons of information! This is a great addition to your Precal interactive notebook.
Preview of Limits from Graphs plus Notes and HW for Calculus

Limits from Graphs plus Notes and HW for Calculus

Created by
Joan Kessler
This Finding Limits Graphically lesson is designed to give your Calculus students an understanding and fluency of the visual side of limits and will challenge even your best students. What's Included? Guided student notes with four examples. There are two versions, one completed and one left for the students to complete with you in class.24 Task Cards with mostly piecewise continuous functions. Students determine the limits, if they exist, from analyzing the graph. My students found the v
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 Volume of Revolution Match-Up Activity (Unit 8)

Calculus Volume of Revolution Match-Up Activity (Unit 8)

This Solids of Revolution Match-Up Activity is designed to help your Calculus AB, Calculus BC, Calculus Honors or Calculus 1 students with visualizing volumes of solids when rotated about an axis or line. There are 36 task cards in the activity. The cards are sorted into sets with a graph, an equation, and a volume formula card.New addition, you can choose between 2-D and 3-D graph cards!***(4/7/2022) added quadrant I restrictions to card E9,E10, & E11 to improve understanding.As an extensio
Preview of Circuit Training - Product and Quotient Rules (calculus)

Circuit Training - Product and Quotient Rules (calculus)

Give your students engaging practice with the circuit format! This circuit contains 20 problems which emphasize product and quotient rules. Students must also know the power rule and the derivatives of sine and cosine (but not the other four trig functions... they will derive these as they go through the circuit). There are no logs nor exponentials in this circuit. There is no chain rule (though a few of them you can do by chain rule if you want -- and a few of them you can do by exclusively
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 Are You Ready for Calculus Prerequisites and Pre-Test

Are You Ready for Calculus Prerequisites and Pre-Test

Are You Ready for Calculus? You will find a general review of prerequisite skills and a 15 question, 50-minute placement test for Calculus readiness. No calculators allowed. The Placement Test is a free-response type assessment.There are 28 questions in the Prerequisite Review Assignment which include the following concepts.✎Algebraic manipulation✎Solving Rational equations✎Solving polynomial equations by factoring✎ Solving logarithmic equations✎ Solving exponential equations✎ Use properties o
Preview of Derivative Scavenger Hunt Game

Derivative Scavenger Hunt Game

Do you need a fun way for students to practice derivatives with minimal prep? The Derivative Scavenger Hunt Game gets students up and moving around while practicing math. In this game, students use the answer to one problem to find another problem hanging around the classroom. Students will complete a total of 16 problems to create a list of mathematicians. You can even extend this activity by having students research one of the mathematicians in the scavenger hunt. This product is self-checkin
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
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