This fun Thanksgiving themed activity will help students review such topics as ♦ first, second and higher order derivatives ♦ intervals of increasing and decreasing ♦ critical points and local extrema The functions included are polynomial, rational, radical, trigonometric, inverse trigonometric, exponential, and logarithmic (common and composite functions). The problems covers all the basic derivative rules, including power rule, product and quotient rules and chain rule. Activity Directions: Students work through 15 problems. All the answers are written on 15 of 18 turkeys on a given picture. Every time students arrive at a correct answer, they will “get the turkey” having this answer written on it. Students are asked to find three happy turkeys who can NOT be caught. The product can be possibly used as a partner or a group activity (group of 3). Student recording sheets and the answer key are provided. I wish you very happy and blessed Thanksgiving!

This is an engaging practice on finding the distance and midpoint between two points. It consists of two parts: Part 1 contains 9 various problems on finding the midpoint (determining the coordinates of the midpoint given coordinates of the endpoints of a segment, given coordinates of the midpoint and one of the endpoints and finding the other endpoint, parametric problems on midpoint, finding the midpoint given a graph) Part 2 contains 7 various problems on finding the distance between two points (finding the slope and length of segment given coordinates of the endpoints and given a graph, determining whether two segments are congruent, determining whether a given triangle is right and isosceles, finding the perimeter of a triangle) The practice sheets give enough room for student to show work. The product can be used as independent/extra practice, enrichment or/and homework assignment. Answer keys are included.

This resource contains total of 20 problems. Students will practice solving linear inequalities in one variable. Problems of various difficulty are classified into 3 different types: ⟐ The first worksheet has the students solving 8 one-step inequalities. They are asked to solve each inequality, graph its solutions and express the graph using interval notation. ⟐ The second worksheet is finding the solution sets of each of 6 two-step inequalities. Students are asked to solve each inequality, graph its solutions and express the graph as an inequality involving x. They are also asked to express the graph using interval notation. ⟐ The third worksheet has the students solving 6 multi-step inequalities. They solve each inequality, graph its solutions and express the graph as an inequality involving x. Students also express the graph using interval notation. Students are provided a drawn number line for each inequality. The product can be used in class for cooperative learning , as a partner or a group activity ( groups of 3), independent practice, an assessment or homework assignment. Answer keys are provided.

This activity is created for your students to practice their skills with more complicated trig integrals. It contains problems on indefinite integrals of product and ratio of sine and cosine involving powers of sine and cosine. In general, the integrals are of (sin(x))^n(cos(x))^m, where m and n are integers. Students will need to use trigonometric identities (Pythagorean, Power Reduction Identities, Double-Angle Identities), integration by u-substitution, integration by parts along with algebra skills to manipulate the integrands. There are 16 problems for them to complete with room to show work. Students аrе given the answer to each problem with missing coefficients they have to find and insert/fill in. This resource can be used for class work, independent or grouped, HW, enrichment, or an assessment. Answer keys are included.

In this packet you will find 22 practice problems students can use to practice finding the area between curves. Students need to analyze the problems, find the points where the curves intersect (in 8 of the problems), sketch the graph, setup the integral necessary to find the area and to integrate to find the area. The integration involved is basic and using u- substitution. One example requires trig substitution and else one example requires finding a suitable substitution to be solved.There are five problems with trig functions.There is one problem where students will have to divide the problem into two integrals. All examples are with vertical strips. The product is useful for independent/extra practice and homework assignment. Detailed typed answer keys are included.

This is an engaging and collaborative partner activity for analyzing and sketching graphs of polynomial and rational functions using calculus. Students will use limits, first and second derivatives to provide information about function behavior and then sketch the graph of the function. Activity Directions: Students are given five sections to work through. In each section partners are given two functions of the same type to identify their features (intercepts, asymptotes, intervals of increase and decrease, local maximum and minimum points, intervals of concave up and concave down, inflection points). After finding all the important parameters students are asked to draw a graph of the function. ▸The functions of a section differ only by coefficients so partners obtain similar results and graphs with the same shape. Students are provided recording/response sheets with a number of steps of the general algorithm for investigation of functions, rooms to record their results and coordinates grids where each axis labeled using an appropriate scale as dictated by the problem so sketching to become easier. This product can be also used as a group activity, for collaborative learning, for enrichment and extra practice, as independent practice and homework assignment. Detailed typed answer keys are included. All the graphs are drawn as well. BONUS: I have included 4 additional sections for extra practice or enrichment. (These are without answer keys.)

This resource contains a total of 24 problems. Students will practice taking the derivatives of some complicated functions by logarithmic differentiation. The packet has 2 worksheets: ⟐ The first worksheet has the students finding the first derivatives of 12 complicated functions using natural logarithms. ⟐ The second worksheet also contains 12 problems of finding the derivatives by logarithmic differentiation as some of the examples are more complex. The worksheets can be used as class practice, for an extra practice or enrichment, an assessment or homework assignment. It can be also used as a partner or group activity – like that: ⟡ Partner A will solve WS #1 (page 1) while Partner B solves WS # 1 (page 2), then they swap papers and Partner A will solve WS #1 (page 2) while Partner B solves WS #1 (page 1). Once they have completed the work, they compare their results. If there are different answers to one and the same problem, students have to identify and correct any errors. Partners continue working through WS # 2 in the same manner with pages 2 and 3 or pages 1 and 2… ⟡ Worksheet # 2 can be used as a group activity ( for groups of 3 as its pages are three and each page contains 4 problems). Full solutions (handwritten clearly) are provided.

This resource contains total of 16 limits. Students will apply the properties of limits and evaluate the limits algebraically by factoring and substitution methods. They will also need to use basic trig limits and identities to solve the limits of trig functions. The limits in this activity can all be found without L’Hopital’s rule. The packet has 2 worksheets: ⟐ The first worksheet has the students solving 8 limits of rational functions. ⟐ The second worksheet is solving 8 limits of trigonometric functions. The worksheets can be used as extra practice, for enrichment, an assessment or homework. It can be also used as a partner activity – like that: Partner A will solve WS # 1 while Partner B solves WS # 2, then they swap papers and Partner A will solve WS # 2 while Partner B solves WS # 1. Once they have completed the work, they compare their results. If there are different answers to one and the same problem, students have to identify and correct any errors. All answer keys are included.

In this 24 questions- activity, students apply L’Hospital’s Rule to evaluate limits. There are included the following indeterminate forms - 0/0, infinity / infinity, infinite minus infinity and the product of zero and infinity. All functions are included from polynomial to square root, from exponential to log, from trig to inverse trig functions. There are two similar versions of this practice each consisting of two sections. Each section contains three groups of two limits. The problems IN EACH SECTION have THE SAME ANSWER! In section1, two problems have the form 0/0; the next two have the form infinity/infinity and the last two problems have the form infinity minus infinity. In section 2, two problems have the form 0/0; the next two have the form infinity/infinity and the last two problems have the form the product of zero and infinity. ( Not all of the questions require L’Hospital’s Rule (i.e. another valid method could be used) however students are instructed to use only L’Hospital’s Rule to find the limits.) This activity can be used for class work, independent or grouped (groups of 2 or 4). It can be used as an assessment and homework as well. Answer keys are included.

This is a collaborative and challenging activity to practice finding derivatives by implicit differentiation. All of the equations are selected to be solved for y to get the form y= f(x). Functions included are polynomial, rational, including radicals, exponential, logarithmic, trigonometric and inverse trigonometric. Activity Directions: Partners work through 8 sections (or less if preferred). Each section contains one equation in two variables x and y. Partner A solve it for y and then differentiate the function y=f(x) directly to find the derivative of y(x). Partner B deals with the same equation using implicit differentiation to find the derivative of y. When partners are ready, they check that their derivatives are the same. In the next section, Partner A will use implicit differentiation while Partner B applies differentiation directly. Once the work is completed, partners compare their derivatives again. Partners are supposed to get the same answers in each section. This activity can be used once more like that - next time partners can practice the same examples exchanging their roles – Partner A takes the position of Partner B and Partner B takes the position of Partner A. In such a way each partner will solve each of the problems using two solution techniques.

This is a mushrooms themed maze on solving rational equations using cross multiplication. Students start solving and use each answer to navigate through the maze. Students will need to solve 13 problems properly to complete the maze. Students can draw a line/curve to display their answer path. Answer key is included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.

This is a fun robots themed maze on solving systems with two linear equations in two variables. Students solve the systems given in the maze by the most appropriate method (substitution or elimination method) and use their answers to navigate through the maze. Students draw lines to display their answer path. Students will solve 10 systems on their way through the maze. Answer key is included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.

This is a monkey themed maze on applying the exponent laws. Students have to simplify expressions with two variables using product rule, quotient rule, power rule, power of a product rule, power of a fraction rule. There are included three problems with power with negative base. Student use their answers to navigate through the maze. Students can draw lines to display their answer path. At the end they will have solved a total of 10 challenging problems. Answer key is included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.

This is an engaging teacher themed practice on natural logarithms. There are four problem pages/slides each containing two main tasks A and B. Task A is condensing logarithms - students have to simplify three or four expressions (without and with variables) using the properties of natural logarithms; task B is solving three or four logarithmic equations with natural logarithms and/or exponential equations using natural logarithms (a total of 30 various problems). Students are provided with an empty box below each problem where they can record their answers. Please view the preview to see all the problems included. Students can work independently or in pairs. Answer keys are included (four answer key slides at the end of this document). NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two slides on a page for easy and more economic printing!

This is a collaborative partner activity on graphing quadratic functions. Students will work through six sections as in each section partners have to graph two quadratic functions f(x) and g(x) on the same coordinate plane. Partner A will graph f(x) and partner B will graph the other function g(x). Students are also asked to solve the equation f(x)=g(x). Included are three cases: The graphs don’t have points in common and respectively the equation f(x)=g(x) doesn’t have real solutions (section 1 and section 4) The graphs share one common point and respectively the equation f(x)=g(x) has one real solution (sections 2 and 5) The graphs have two common points and respectively the equation f(x)=g(x) has two real solutions (sections 3 and 6) This activity can be used as independent practice as well. The practice sheets give enough room for students to show work. Grids are provided. Detailed answer keys are included. (The graphs are drawn by CorelDraw.)

This is an astronaut themed 5 levels practice on multiplying a polynomial by a monomial. The problem pages/slides are five as the first page/slide are first level problems, the second page/slide are 2nd level problems, etc. Each page/slide contains 5 problems. Students have to multiply, then write in standard form and then classify the obtained polynomials. There are empty boxes provided where students can record their answers. Answer keys are included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here. I have included 2 PDF files - the one has each slide as a page and the other has two or three slides on a page for easy and more economic printing!

There are two problems (A and B questions) on each of the 8 cards. Question A is to evaluate a limit analytically and Question B is to prove a limit’s equality. Half of the cards are 8 questions asking students to find the limits of rational and involving radicals functions as x approaches infinity. The other half of the cards contains limits where x approaches a finite number. Students are to find the limits of rational functions, functions involving radicals and trigonometric functions (some of which use the “special Limits" ( sin x /x, (1 - cos x)/ x^2)) . The limits in this activity can all be found without L’Hopital’s rule. The cards can be used as a partner or a group activity or as a review. There is a student recording sheet included. Answer keys are provided.

This activity is designed to be used for groups of 4, 3 and/or 2 members. It practices: • solving radical equations with one and two square roots • solving linear and quadratic equations • checking for extraneous solutions The radical equations contain: a monomial and/or a binomial under a radical symbol a radical expression on one side of the equation and a monomial or a binomial on the other side radical expressions on one side and respectively on the both sides of the equations (“radical equals radical”) Most of the equations require rearranging and isolating the radical and the rest are set up to square both sides. All the equations require squaring once. Activity Directions: Partners will each have their own set of eight problems of various difficulty. They reduce them to linear or quadratics and continue solving by any method they choose. Students write down the solutions of the problems on the recording sheet provided. They are instructed to check for extraneous solutions. Partners record their answers in tables on a group response sheet designed in such a way that students can analyze and compare their results easily. They must verify that all equations actually have the same solution except only one which has two distinct roots. I called this special equation “black sheep equation” and it is the equation B8. It can not be simply found without checking for extraneous solutions. All answer keys are provided. I hope your students enjoy searching for the “black sheep” and have fun with this activity.

In this fun Valentine’s themed activity, students will practice simplifying trig expressions using the fundamental Pythagorean, quotient and reciprocal identities. Activity Directions: Students are asked to simplify 12 trig expressions. The corrected equivalent expresssions (the answers) are recorded on twelve of 13 hearts on a given picture. Every time students arrive at a correct answer, they will “win the heart” having this answer written on it. Students are also asked to find the only one heart who can NOT be won. The product can possibly be used as a partner or a group activity(group of 3). Student recording sheets, answer keys and solutions are provided. I hope you and your students ENJOY!