Fan's Math

Students work through ten infinite series convergence tests and remainders with several sample problems for each convergence test. This is a great review putting all the tests together. All my foldables are self-guided which allow the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at home. This foldable can be used alone or glued into an Interactive Notebook the size of a 9½ by 7½ composition book. Hope this is helpful. Enjoy! This is th

Students practice the four methods for finding the volume of solids: cross section, washer, disk and shell. (Yes, I know the shell method is not a required topic on the AP test, but it is a great method in certain situations.) All my foldables are self-guided which allow the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at home. This foldable can be used alone or glued into an Interactive Notebook the size of a 9½ by 7½ composition book.

Use this foldable to engage your students while they review the three definitions of derivatives and apply them to examples analytically. All my foldables are self-guided which allow the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at home. This foldable can be used alone or glued into an Interactive Notebook the size of a 9½ by 7½ composition book. Hope this is helpful. Enjoy! This is the first foldable for Ch. 2 in our calculus textb

Students will list the derivatives and integrals of exponential functions and inverse trig functions then work an example of each. All my foldables are self-guided which allow the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at home. This foldable can be used alone or glued into an Interactive Notebook the size of a 9½ by 7½ composition book. Hope this is helpful. Enjoy! This is the fourth foldable for Ch. 5 in our calculus textboo

Students work through the eight common functions that can be represented as Power Series. The students must fill in the explicit formula, the first five terms of the expanded form, and the interval of convergence of each function. This is a great review putting all the power series together. All my foldables are self-guided which allow the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at home. This foldable can be used alone or glued int

Students review four strategies for integrating more complex functions in which the chain is not present in the integrand: composite functions, trig functions with multiple arguments, binomials, and functions with extra x’s not part of the chain. I am not a fan of u-substitution in the simple compositions that can be antidifferentiated by compensating with a constant; however, there is a definite integral example with a more complicated integrand that must be worked using u-sub. All my foldabl

Students solve differential equations or approximate solutions analytically, graphically and numerically – finding general and particular solutions to separable DE’s, drawing slope fields, and using Euler’s method to approximate a solution. This foldable is a trifold with pockets. Students work six problems for each method and store them in the correct pockets. I realize that Euler’s method and logistical growth are AP Calculus BC topics, but the foldable is designed so that AB students can cu

Yes, I know – there is no calculus in this foldable, but I hate spending time reviewing. So I give this foldable to my students to review the graphs, domains and ranges of the inverse trig functions. They all have their Interactive Notebooks from last year and can look up the information there or in their textbooks or Google it!! Then they are ready to do some calculus with inverse trig functions. All my foldables are self-guided which allow the students to start the foldable in class for a

Your students can practice on some of the basic antiderivative rules (power, constant multiple, sum/difference, absolute value, trig) before going into the more complicated integration of composite functions. Our textbook covers transcendental functions in chapter 5 so there are no logarithmic, exponential, or inverse trig functions in this foldable. All my foldables are self-guided which allows the students to start the foldable in class for about 10 to 15 minutes then complete the AP style ex

Engage your students with something new while they review the definition of continuity, removable and nonremovable discontinuities, and how to prove a function is not continuous. All my foldables are self-guided which allow the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at home. This foldable can be used alone or glued into an Interactive Notebook the size of a 9½ by 7½ composition book. Hope this is helpful. Enjoy! This is the secon

Students state the two fundamental theorems of Calculus. (I call them First and Second Fundamental Theorems, but different textbooks teach them in different orders – same theorems!!!) The students then work lots of examples with each – symbolically, graphically, abstractly, using a tabular function and in an application problem. Comparing them side by side reinforces that one of them is the integral of a derivative and the other is the derivative of an integral. The examples do not involve the

Students confuse the two Mean Value Theorems - the Mean Value Theorem for Derivatives and the Mean Value Theorem for Integrals. Comparing them side by side reinforces that one deals with slope and one deals with net area, Algebra I vs. Geometry. In this foldable the students list the conditions to apply the theorems and the symbolic theorem, discuss the geometric interpretations of the theorems, and work examples symbolically, with a tabular function, and graphically. The examples do not involve

Students practice five different strategies to transform an integrand into a form that the natural logarithm function is the antiderivative. They discuss the rules and work examples of each. All my foldables are self-guided which allow the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at home. This foldable can be used alone or glued into an Interactive Notebook the size of a 9½ by 7½ composition book. Hope this is helpful. Enjoy! T

In this foldable, the natural logarithm function is defined as the area under the f(t) = 1/t curve from 1 to x. The students then discuss for what x’s ln x is +, -, or 0 based on the integral and the area under f(t). This definition reinforces the students understanding of a function defined as an integral and will eventually lead to finding the derivative of ln x. All my foldables are self-guided which allow the students to start the foldable in class for about 10 to 15 minutes then comple

Understanding the difference in the definite integral of a function and the area enclosed by a function and the x-axis is basic when students first learn definite integrals. The students work and explain both in this foldable. All my foldables are self-guided which allows the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at home. This foldable can be used alone or glued into an Interactive Notebook the size of a 9½ by 7½ composition book.

Students review the concepts of polar functions: finding polar and rectangular coordinates, extrema, tangent lines, area, and arc length. (Yes, I realize polar arc length is not on the BC Calculus test, but parametric arc length is so polar arc length is fair game and its formula is easier to use than the parametric formula when applied to polar curves!) The students complete all the formulas on the outside of the foldable and work an example of each inside the foldable. The examples are calcula

It never ceases to amaze me how much my almost-adult calculus students love these foldables, even this one on theorems. These four theorems show up in the free response questions on the AP test in tabular functions so this foldable focuses on that type of example. All my foldables are self-guided which allow the students to start the foldable in class for about 10 to 15 minutes then complete the AP style examples at home. This foldable can be used alone or glued into an Interactive Notebook th

Calculus students seem to have problems with this concept that we as calculus teachers think is so easy. This foldable takes them through the process of approximating a value on a curve using a tangent line step by step finding the approximation analytically and displaying the solution graphically. My students encounter this in the Larson Calculus textbook in Ch. 2 on Differentiations thus the numbering 2-4. Hope this is helpful. Enjoy!!!. This foldable can be used alone or glued into an Inte

The BC Calculus test assesses motion problems using both simple position functions and vector-valued functions. In this foldable, students compare the formulas for velocity, acceleration, speed, average velocity, average speed, and total distance travelled for both types of problems. They complete all the formulas on the outside of the foldable and work an example of each inside the foldable. The examples for simple functions are noncalculator and the examples for vectors require a calculator

Yes, I know – there is only a little calculus in this foldable, but I hate spending time reviewing. So I give my students this foldable to review the arithmetic and geometric sequences and sequence convergence and divergence before I get into convergent tests for infinite series. The students have their Interactive Notebooks from Precalculus and can look up the information there or in their textbooks or Google it!! I spend one day adding some calculus concepts of sequences such as monotonicity a