These are 4 digital aliens themed task cards/slides/pages on rational exponents. There are 8 problems per card/slide/page (a total of 32 challenging problems). The first four problems are writing 4 expressions in exponential form and the last four problems are writing 4 expressions in simplified radical form. The product can be used as an independent practice with 4 different forms or as a group activity (groups of 2 or 4). 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 slides on a page for easy and more economic printing!

This is a Christmas activity for groups of maximum three members on exponent rules (positive and negative powers). There are 8 slides/cards/pages with problems. On each slide/card partners are given three similar problems. Each partner solves one of the problems given on this slide/card. The problems are labeled with large Christmas gingerbread letters. Partners have the opportunity to collaborate and compare results of similar problems with this activity. The problems included require students to use their knowledge of the following exponent rules: *Product of Powers *Power of a Product *Power of a Power *Quotient of Powers *Negative Exponent Rule The problems are challenging and require the knowledge of using more than one exponent rule at once. This activity may turn into a competition between groups to become more fun. The product can be also used in class as independent practice and extra practice. 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 four slides on a page for easy and more economic printing!

This is an engaging and collaborative bunny themed group activity (groups of 2, 3 and/or 4) on solving radical equations. On each page/slide partners are given 4 similar equations to solve. This gives them the opportunity to work together and help each other with methods. There are included equations that result in quadratics and there are equations with extraneous solutions. The problems increase in difficulty with each next slide. Here are the type of the equations included: 1 and 2 slides/pages) Radical = Number (the radicand is linear function) 3 and 4 slides/pages) Radical = Number (the radicand is quadratic function) 5 slide/page) Radical = Radical ( the one radicand is linear and the other radicand is quadratic function) 6 slide/page) Radical = Linear Function (the radicand is quadratic function) 7 and 8 slides/pages) Radical + or - Radical = Number (the radicands are linear functions) This product can be also used for independent practice having 4 different forms, extra practice and homework. 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!

This is an engaging practice on solving logarithmic equations. On each slide/page students are given 4 problems as problem A is level 1 problem of type log(base a) f(x)=b, problem B is level 2 problem of type log(base a)f(x)=log(base a)g(x), problem C is level 3 problem - students will need here to add or subtract logarithms with the same bases and use the property alogx=log(x^a), problem D is level 4 problem of type mlog^2(base a)+nlog(base a) +p=0 (logarithmic equation of quadratic type). the pages/slides with problems are 6 and there is else one page/slide with the answer keys. The product can be used as independent practice, group activity, extra practice, enrichment, homework assignment. 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 self-checking teachers themed practice on exponential and logarithmic equations. The problem pages/slides are eight. On each slide/page students are given one exponential equation to solve for x and one logarithmic equation to solve for y, students are also given a hint - a system with two variables as it is known that the roots of the equations satisfy this system. Students can solve the system or just substitute the values of x and y they have obtained in it to check whether their work is correct. (Each equation and system are thought to have only solution! Some logarithmic equations have extraneous solutions. Systems are linear, nonlinear, consisting of exponential and logarithmic equations and containing radical equations ). There is also a table provided where students can record their answers. Students can work individually or in pairs to complete this activity. Answer key is contained 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 or three slides on a page for easy and more economic printing!

These are 6 digital thanksgiving themed task cards on exponential equations. There are 4 problems per card/slide (A, B, C and D problem) as the problems increase in difficulty level. The last problem is an exponential equation of quadratic type ( by the substitution a^x=y it results in quadratic equation). The last two cards/slides contains the most challenging equations. Students can work independently with the cards or in small groups of 2 and 3. 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/cards on a page for easy and more economic printing!

This is an engaging and fun activity on solving trigonometric equations called “Who Did Say This?”. Students are given 12 trigonometric equations to solve. Each problem is “accompanied” by an aphorism. Students can find the answers of the problems on the next page/slide. Each answer of a problem is “accompanied” by the name of the author of the aphorism to the problem. If students solved all the equations correctly they will find who had said each of the twelve aphorisms. Students can draw a numbered oval in the field of the answer they have chosen as correct. 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 matching activity on complex fractions called “What kind of butterfly is this?”. Students are provided with 10 challenging problems as there is one problem given on each page/slide. The number of the problem is the number of a butterfly/moth given on a picture. Students solve the problem and search for its answer in a table. The answer reveals the name of the butterfly numbered with the same number as the problem. Students are instructed to record in the table the number of the problem/butterfly in the row where is its answer and beside the name of the butterfly (to match the problem with its answer). There is also an interesting fact given for each butterfly on each page/slide. This product stimulates student interests in both algebra and zoology. The 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 two or three slides on a page for easy and more economic printing!

These are 7 monster themed task cards as there are 2 problems per card/slide/page - the one problem is multiplying two rational expressions and the other problem is dividing rational expressions. Students multiply or divide as they factor the numerators and denominators and then cancel the common factors. Students will need to use factoring out a GCF and the polynomial identity for difference of squares to simplify each expression given. This product can be used as independent and extra practice, partner activity (in the first page/slide partner A will perform multiplication and partner B will perform division, on the next page/slide partner A will divide and partner B will multiply rational fractions and etc), homework assignment and even as an assessment. The answer key is contained 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 or three slides on a page for easy and more economic printing!

This is a fun and engaging activity on simplifying complex fractions. On each page/slide students are given a complex fraction to simplify and a picture of an animal holding a blank sign on which is written an answer. There are also two buttons labeled “Right” and “Wrong”. Students have to determine whether the animal “saying” the answer is right or wrong and then to strike through one of the buttons. The pages/slides are 12 as the problems increase in difficulty with each next page/slide. The answer key is contained 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 or three slides on a page for easy and more economic printing!

This is an engaging and collaborative group activity on infinite geometric series. It contains a total of 60 problems and consists of 7 sections. In each section each member of a group has his own problem(s) to solve as the problems of the partners are similar. In the 1st section partners have to write given series in summation notation. In the 2th section each partner has given three series (two of them are in summation notation) and is asked to find the sum of each. 3th section: Students have to find the common ration of the infinite geometric series with the given sum and first term. 4th section: Students have to find the first term of the infinite geometric series with the given sum and common ratio. 5th section: Each member of a group is given four series (in summation notation) and has to determine which of them converge and to give the value of each convergent series. 6th section: Students have to convert repeating decimals to fractional form. 7th section: Students are given geometry problems to solve by use of a geometric series. This activity may turn into competition between groups. The product can be also used as four different forms of independent practice, extra practice, enrichment and homework assignment. Student recording sheet and answer keys are included.

This is an engaging practice on multiplying matrices with carefully chosen problems some with nice answers. There are included nine challening tasks. Here is a description of the tasks: Task 1. Given a matrix A (2x2). Students have to determine f(A) which is a quadratic function of A (two problems here) Task 2 is proving that two matrices (2x2) are commuting (two problems included) Task 3 is finding AB and BA given A^t (3X2) and B (3x2). Task 4 is proving that A^2=A , A is 3x3 Task 5. Given a matrix A (3x3). Students have to determine f(A) which is a quadratic function of A. Taks 6 is finding AB as A is 3x3 and B is 3x3. The answer is really nice. Task 7 is finding AB-BA (two problems here) Task 8 is performing indicated operations AB+CD Task 9. Given matrices A,B and C. Students have to prove that A(BC)=(AB)C Students have enough room to show work on the practice sheets. This resource can be used as independent and extra practice, enrichment and homework. Answer key is included.

This is an engaging practice on calculating the determinant of a matrix (2x2 and 3x3). It consists of two parts. Part 1 are problems on matrices 2x2 and part 2 are problems on matrices 3x3. There are included a total of 5 tasks. Task 1 (part 1) is calculating the determinants of six matrices 2x2. Task 2 (part 2) - students have to express the determinant of each of eight matrices 2x2 in the terms of the variables in them. Task 1 (part 2) is computing the determinant of each of six matrices 3x3. Task 2 (part 2) -students have to express the determinants of each of 5 matrices 3x3 in the terms of the variables in them. Task 3 (part 2) is solving four equations of type detA=detB as A is a 3x3 matrix and B is 2x2 matrix, detA=Number as A is a 3x3 matrix. Tasks 2 and 3 of part 2 contain challenging problems. Worksheets have enough room for students to show work. This resource can be used as independent/extra practice, enrichment and homework. Answer keys are included.

This is an engaging practice/homework on multiplying matrices contaning 10 tasks (19 problems). Here is a description of the tasks included: Task 1. Students have to find the sum of indicated elements for the product AB given the matrices A and B. (5 related problems) Task 2 is finding the product A^t B where A^t is the transpose of the matrix A. Task 3. Given matrices A and B. Students have to calculate f(A) and f(B) which are quadratic functions of A and respectively of B. A is 2x2 and B is 3x3 (2 problems) Task 4. Given three matrices A, B and C. Students have to check whether AB=AC Tasks 5,6,7 is proving that two matrices are commuting. In taks 5 the matrices are 2x2, in task 6 - 3x3 and in task 7 the matrices are 4x4. Task 8 is computing the difference AB-BA given the matrices A and B (two problems) Task 9 is finding the product AB where A and B are 4x4. The answer will be suprisingly nice. Task 10. Given four matrices. Students have to compute the products ABC,CAB,BAD and DBA. (four problems) Students will need to use separate sheets of papers to show work. This resource can be used as homework, as class/extra/independent practice too however it should be taken into account that it will take more time as the problems are many and some are challenging. Answer key is included.

This is an engaging activity on exploring quadratic functions. On each slide/page students are given a quadratic function in standard form and six statements concerning its characteristics (vertex, axis of symmetry, x-and y-intercepts, range, intervals of increase or decrease, value of the minimum or maximum). Each statement is written in a cell of a table where there are also given two options/buttons “True” and “False”. Students are asked to determine which of the statements are true and which are false and then to strike through the incorrect buttons or choose/mark the correct buttons/options. The slides/pages with problems are 8 (8 quadratic functions to be explored). This activity can be used as an independent practice, extra practice, homework assignment. Answer key is contained 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 and three slides on a page for easy and more economic printing!

This is a collaborative and challenging activity to practice finding first and second derivatives of simple and composite functions. The functions in this activity include polynomials, rational fractions, radicals, trig and inverse trig expressions, exponential expressions and natural logarithmic functions. Students work through 14 sections/problems(or less if preferred). Each section contains one function to be differentiated by the partners. One partner starts solving first to find the first derivative of the function, then the other partner differentiates the function that his partner has obtained to find the second derivative. In the next section, partners take turns and it goes the same way. Alternative way to use this activity: Partners can work over finding the first derivatives of the functions of two randomly chosen different sections and then to swap papers to find the second derivative of the same functions. A hint is provided in each section that gives the sum of the partners’ answers. Typed and detailed answer keys are included. I hope this activity will be stimulating and beneficial for your calculus students.

This is a fun and engaging multiple - choice game on converting quadratic functions from standard to vertex form. Students are given 12 slides/pages - 12 problems to solve. On each slide/page there is given a quadratic function and a realistic illustration of a dinosaur, 4 optional answers as each corresponds to a name of a dinosaur. Students enjoy converting the functions as they want to find out which are these dinosaurs. Answer keys 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 three levels practice on adding and subtracting rational expressions. Students are given three pages/slides as there are 8 problems per page/slide. Students have to add or subtract and then simplify their results if possible. The problems are well thought so after adding or subtracting students will obtain rational fractions that can be simplified. On the first page/slide (problems level 1) students add and subtract rational expressions having the same denominators or the one fraction has a denominator a-b and the other fraction has a denominator b-a. On the second page/slide (level 2) students add and subtract rational fractions having different denominators. Students will need to factor the denominators factoring out a GCF and using the difference of squares formula. On the third page/slide (problems level 3) students add and subtract three rational fractions with different denominators. It is not needed for students to solve all of the problems as classwork, however they can have some of the problems as homework. The product can be used as a group activity as well (groups of 4 as each student will solve 2 problems from each page/slide). 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!

This is an engaging activity on multiplying polynomials. Students are given 2 pages/slides with 16 problems - 4 levels as there are 4 problems for each level. Each problem correctly solved gives points (problem of level 1 gives 1 point, level 2 problem - 1.5 points, level 3 problem - 2 points and level 4 problem - 3 points). So students try to get as many points as they can. There are 4 pages/slides included where students can build the answer of each problem using monomials given. This activity can be completed individually (maximum efforts) or students can work in groups of 2 or 4. If students work in pairs there will be two problems of each level for each partner to solve (optimum pressure). If students work in groups of four there will be only one problem of each level for each member of the group (minimum pressure). This activity can also be turned to competition between groups (which group will finish first or will get maximum points). 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!

This resource contains total of 86 well thought out practice problems on rational functions. Students will determine the characteristics of the rational functions – domain, range, holes, x – and y- intercepts, vertical, horizontal and slant asymptotes. There are eight practice worksheets from A to H where the problems are grouped/classified by topic. ◈ WS A - finding the domain ( 12 problems) ◈ WS B – finding the range ( 10 problems) ◈ WS C - finding the x – intercepts (12 problems) ◈ WS D – finding the y- intercepts ( 12 problems) ◈WS E – finding the vertical asymptotes ( 10 problems) ◈ WS F – finding the horizontal asymptote (12 problems) ◈ WS G – finding the slant (oblique) asymptote (8 problems) ◈ WS H – determining the holes (10 problems) This product can be used as in-class practice, an independent practice or group activity. It can be also used as an assessment or homework. Typed answer keys are included.