These are 10 task cards on solving word problems with cube root. There are one or two problems per card (a total of 15 problems, some of them are challenging). Students need to know the elements of cube, formulas for surface area and volume of a cube, sphere, cone, cylinder and right rectangular prism, geometric progression. Students will draw diagrams that model the problems and write and solve equations involving cube root. There is provided a page/slide with a table where students can record their answers. Answer key is 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 three slides on a page for easy and more economic printing!

This resource contains total of 32 problems. Students will practice differentiation of common functions using the product and quotient rules ( they don’t need to apply the chain rule). The packet has 3 worksheets: ⟐ The first worksheet has the students finding the first derivatives of 16 functions using the differentiation formulas and product rule. ⟐ The second worksheet is finding the first derivatives of 10 functions using using the differentiation formulas and quotient rule. ⟐ The third worksheet is finding the first derivatives of 6 functions using the combination of the product and quotient rules. It contains more complicated problems. These six challenging problems are suitable for advanced calculus students. 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 activity like this: ⟡ 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. Then partners solve the problems of WS#3 collaborating or each partner may solve half of the WS #3 problems.

This resource contains total of 20 problems. Students will practice differentiation of common and composite trig functions. The packet has 2 worksheets: ⟐ The first worksheet has the students finding the first derivatives of 10 trig functions using differentiation formulas, the product and quotient rules and the derivatives of the three main trig functions. ⟐ The second worksheet is finding the first derivatives of 10 composite trig functions using the chain rule. 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 activity like: ⟡ 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. Typed solutions are provided.

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 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 an engaging and collaborative group activity for students to practice multiplying matrices. There are a total of 28 problems including matrices with dimensions 1x2, 2x1, 2x2, 2x3, 3x1, 3x2, 3x3, 2x4, 4x2. All the problems are possible. Calculator use is optional. Students can be organized in groups of 2, 3 or 4. Each member of a group is given not more than 7 problems to work out. The activity can be used to have groups compete with each other. Students of each group will get points for the problems they get right. After working the problems, the points are tallied and the group with the most points win. (I have provided a sample scoring scale – each product of a row and a column gets 1 point). Student recording sheet and answer keys are included.

This is fun matching game/activity on simplifying radicals with one and two variables and of negative numbers, thus resulting in an answer with imaginary number i. It contains 10 challenging problems. Students simplify each of the given radical expressions. Their solutions are written on ten of 11 dinosaurs images. When students arrive at a correct answer, they “tame the dinosaur” having this answer written on it. It is said that only one dinosaur can not be tamed. Students have to find it out. The activity can be used individually or in pairs. Student recording sheet and answer keys are included.

This resource contains a total of 27 practice problems and focuses on using Pythagorean theorem with other geometric shapes. The problems are classified into 5 categories as follows: A. Problems with equilateral and isosceles triangles (finding the altitude, area and perimeter of the triangle) (6 problems) B. Problems with rectangles (finding the diagonal) (6 problems) C. Problems with squares and rhombi ( finding the diagonals and the area) (6 problems) D. Problems with trapezoids (finding the diagonals, non-parallel sides, perimeter and area) (6 problems) E. Other shapes/cases (finding the area of regular hexagon and circle) (3 problems) The practice sheets give room for students to show work. Answer keys are included.

This is a collaborative group activity (for groups of 2,3 and/or 4 members) on factoring difference of squares. It consists of 12 sections as in each section there are 4 similar problems - one problem for each of the partners. Problems gradually increase in difficulty with each subsequent section. Problem types include: difference of squares of monomials ( Level 1) difference of square of monomial and square of binomial (Level 2) difference of square of binomial and square of monomial (Level 2) difference of square of binomials (Level 3) This activity may be turned into a competition between groups . In each section it is given the certain number of points that each problem solved correctly offers. The number of points are directly proportional to the difficulty level of the problem. I hope the practice sheets provide enough room for students to show work. Answer keys are included.

This is an engaging and challenging practice on simplifying exponential expressions (the variable x is in the power indicator). The problems require good skills in using the rules of exponents (forward and backward). There are 4 different versions/forms as forms A and B have similar examples, so have the forms C and D. On each form students are given eight expressions. Students are asked to simplify them into the form a^f(x) or b. a^f(x) . This practice is much helpful for the next step - solving exponential equations. The product can be used as an independent practice or partner activity. I hope the practice worksheets give enough room for students to show their work. Answer keys are included.

This is an engaging and collaborative partner activity on Pascal’s triangle and the Binomial Theorem. It consists of 9 sections. In the first section partners have to generate consecutive rows of the Pascal’s triangle. In the second section each partner has to evaluate three binomial coefficients (here it is used two different notations of the coefficients). Partners are asked to compare their results to see that they have obtained the same answers of their corresponding examples. Section three : each partner is given three problems – it is to determine which is the nth element of the mth row of Pascal’s triangle. Partners compare their results and see that again they have gotten the same answers. Section four: partners have to determine how many terms there are in the expansions of given binomials. Each partner has three problems to solve. Section five: each partner has to find the coefficient of the middle term in the expansion of a given binomial. Section six: each partner will expand completely four binomials. The problems of the partners are similar. In sections seven, eight and nine partners are given one and the same binomial. In section seven, partner A has to determine the coefficient of x and partner B – the coefficient of x^3 in the expansion on the binomial. In the last two sections each partner has to find the nth term of the expansion of the given binomial. This activity can turn into competitions between groups of two. The resource can be also used as two different forms ( A and B) of independent practice, homework and even as an assessment. (I have included modified pages so that the product to be also used as an independent practice, homework or as an assessment). Answer keys are included.

In this autumn alphabet themed activity students will distribute and combine like terms in order to simplify expressions. In each slide students are given three expressions. They have to simplify each of the expressions and determine which two of them are equivalent. Students can work independently or in groups of three. 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 three slides on a page for easy and more economic printing!

This is an engaging and collaborative partner activity on simplifying trigonometric expressions. Students will practice using Pythagorean, quotient and reciprocal trig identities. Each partner is given 11 expressions. The partners’ corresponding problems are very similar so partners can discuss which method to use and help each other simplifying the expressions. Students compare their answers and see that these answers are very similar too like their problems. This product can be also used as independent practice with two different forms A and B. Students can simplify the expressions of A form in class and to have the problems of B form as a homework assignment. 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 three slides on a page for easy and more economic printing!

This is a challenging activity created for students to improve their calculus skills with more complicated examples on differentiation using the chain rule. The functions in this activity include polynomials, rational fractions, radicals, trig and inverse trig expressions, exponential expressions and natural logarithmic functions. Students have to differentiate 8 composite functions and show all their work. They аrе given the answer to each problem with missing coefficients. Students are asked to find these coefficients and fill in the corresponding empty squares for the answer. This resource can be used for class work, independent practice or partner activity, for enrichment and homework assignment. Full typed solutions to the problems are provided.

This is a pumpkin themed activity on composition of functions and THE CHAIN RULE. There are given two functions f(x) and g(x) and problems 1 and 2 on each page/slide. Problem 1 asks to be found the function F(x)=f(g(x)) and its first derivative and problem 2 asks to be found the function G(x)=g(f(x)) and the first derivative of it. Partner A can solve the problem 1 and partner B can solve the problem 2 if you decide to use this activity as a partner activity. The problems are challenging. Partners have an opportunity to collaborate and compare their results. The problem slides are six and the answer key slides are three. 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 three slides on a page for easy and more economic printing!

In this fun Valentine’s themed activity, students will practice evaluating definite integrals using u- substitution. Activity Directions: Students are instructed to evaluate 12 definite integrals using u- substitution. The corrected values 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 2 and 3). Student recording sheets and answer keys are provided. I hope you and your students enjoy! ♡ Happy Valentine’s Day! ♡

In this fun Valentine’s themed activity, students will practice evaluating definite integrals using the properties of integrals and the table of basic integrals. Activity Directions: Students are instructed to evaluate 12 definite integrals using the table of basic integrals. The corrected values 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 (groups of 2 or 3). Student recording sheets and answer keys are provided. I hope you and your students enjoy! ♡ Happy Valentine’s Day! ♡

In this 24 questions – collaborative partner activity, students are to find the limits of various functions (polynomial, rational, radical, exponential, logarithmic) as x approaches infinity. To determine the limits, students will need to use a combination of techniques. The limits in this activity can all be found without L’Hopital’s rule. Each partner has his own set of 12 problems. Corresponding partners’ problems are thought carefully so that the answer of each of Partner’s A problems is the same as the answer of its corresponding problem of Partner’s B. almost all of them to be similar examples - limits of functions which are of the same type Students are instructed to show all work and check whether their results match. Answer keys are included.

This resource contains a total of 16 problems. Students will practice taking the first derivatives of y(x) for each of given implicit functions by implicit differentiation. The packet has 2 worksheets each containing 8 various examples including polynomial, rational, exponential, logarithmic, trigonometric and inverse trigonometric functions. The worksheets can be used as a class practice, for an extra practice or enrichment, an assessment or homework assignment. 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. Typed solutions to all of the problems are provided.

Students will practice finding vertical, horizontal and slant asymptotes using limits in this activity. There are included rational, involving radicals, exponential and natural logarithm functions. Students will work through 7 sections (or less if preferred). There is a function given in each section and differentiated instructions to each of the partners. In each section they share their work like this – Partner A finds all the vertical asymptotes of the given function while Partner B finds the slant asymptote of the same function. In the next section Partner B finds the vertical asymptotes of another function while Partner A finds the slant. There are sections where one of the partners is asked to find the horizontal asymptotes and the other partner – the vertical. The last section asks Partner A to find the left horizontal asymptote and Partner B – the right horizontal asymptote of a function. Students recording sheets are specially designed for this activity with HINTS and rooms to show work. Partners have to record all their answers in a table on a partners’ response sheet provided. Answer key is included.