These are two engaging practice - the one is 6 levels practice and the other is mixed practice, both containing a total of 40 problems. The 6th levels practice consists of 6 departments each having 4 similar problems as the problems become more challenging with each level. Students have to find all the products and then classify the obtained polynomials. All the problems are of one variable x. This one can be used as class practice. The mixed practice consists of two tasks each having 8 problems. The first task is finding the eight products and classifying the obtained polynomials (the expressions are of one variable x). The second task is finding 8 products as this time the expressions include from two to four variables, students have to find the sum of coefficients of each of the obtained polynomials. Empty boxes where students can record their answers are provided. This one can be used as extra practice or 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 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 a fun game called “Knock Down the Skittles” on multiplying and dividing rational expressions. The problem pages/slides are three. On each page/slide students are given four problems, pictures of five skittles and five answer choices each written below each skittle. Students perform the indicated operation solving a problem and search for the answer they have obtained. They will find their answer written below some of the skittles. Students are said to “knock down” this skittle (they can scratch it off/strike it through). One of the skittles can not be “knocked down” as below it is written a false answer. If students solve all the problems on the page/slide correctly they will find out which one is this skittle. Finally students are asked to connect each problem with its answer drawing a line (students can use and another way to match the problems with their answers for instance marking the problem and its answer the same symbol or color). There are included three answer key pages/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 or three slides on a page for easy and more economic printing!

This is an engaging practice on multiplying and dividing rational expressions that consists of 4 tasks. The first task is multiplying and dividing rational expressions (eight problems), the second task are three problems, students have to perform the indicated operations and then to evaluate the obtained expressions for the given values of the variables. Task 3 is proving that two statements are true and task 4 is finding an unknown rational expression U so that a given statement to be true. This product can be used as independent extra practice, homework or assessment. There is provided a page/slide with tables where students can record their answers.(Students can show their work on separate sheet of paper). 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 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!

Students will review the most of the concepts of Calculus with this funny themed practice. There are 3 problem pages/slides as the first contains 12 problems on Differential Calculus (finding the first derivative the product and chain rule, implicit differentiation, relative extrema, inflection points, finding limits using L’Hospital’s Rule), the second page/slide contains 12 problems on Integral Calculus (finding indefinite integrals -basic integration,u-substitution, integration by parts, evaluating definite integrals, improper integrals, differential equations) and the third page/slide has 11 problems on both Differential and Integral Calculus (finding limits of radical and trigonometric functions, limits at infinity, absolute extrema of functions on given intervals, evaluating integrals, finding the volume of a region bounded by given functions and revolved about x and y axes). Students can work independently which is better if time permits or in groups of 2 or 3. Answer keys are included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.

This is a partner activity on dividing polynomials (no remainders) called “Get the Same Answer”. There are three problem pages/slides as each page/slide contains four sections. In each section are gven one problem for partner A and one problem for partner B. The partners’ problems of one section are very similar. Partners are asked to perform the division operation and then to compare their answers. There is an empty box provided in each section where partners can record their one and the same answer. Problems increase in difficulty with each section. Dividends are polynomials from 2nd to 6th degrees and divisors are linear, quadratic and cubic binomials and quadratic trinomials. 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 famous inventors themed 6 levels practice on dividing polynomials using long division. The problem pages/slides are 6 as the problems included on 1st page/slide are level 1 problems, the problems included on 2nd page/slide are level 2 problems and etc. Each page/slide contains 5 similar problems. Students can record their answers in the empty boxes on the pages/slides. This resource can be used as individual practice, as partner or even group activity. 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 a circus animals themed maze on dividing a polynomial by a monomial. (Polynomials included are with one and two variables). Students start solving and use each answer to navigate through the maze. Students will need to solve 12 problems properly to complete the maze. Students can draw a colored line to display their answer path. It would be nice if students show work on this activity on a separate sheet of paper. Answer keys are included. NOTE: This product is created as a Google Slides product. **I have converted it to PDF item here. **

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 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 practice on adding and subtracting rational expressions (two and three addends) consisting of two problem pages/slides and containing five tasks. First task is addind and subtracting rational expressions (seven problems), the second task is evaluating rational expressions for given values of the variables (students have to perform adding or subtracting first), the third task is finding a rational expression so that a given statement to be true. The fourth task is determining which of given statements are true and which are false and the fifth task is proving that the values of two rational expressions do not depend on the values of the variables. There is included a page/slide with tables where students can record their answers.(Students can show work on separate sheet of paper). Answer keys are included. NOTE: This product is created as a Google Slides product. **I have converted it to PDF item here. **

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. **

These are 9 practice tickets on real zeros of polynomials. There are 3 problems per ticket - given are third degree polynomial, a fourth degree and a fifth degree polynomial as each problem is worth respectively 3, 4 and 5 points. The product can be used as independent practice of 9 forms, group activity (students can work in groups of 2,3,4 and more members) that can turn into a competition. The group gathered maximum points wins. The tickets can be also used as homework assignment or even as an assessment. 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 a fun and engaging activity on finding zeros of polynomials (real and complex). There are two problem pages/slides. On the first page/slide students are given 12 problems as each problem is “accompanied” by a riddle. On the second page/slide there are given the answers of the problems as each answer of a problem is “accompanied” by the answer of the riddle. 12 “false” answers are included to mislead the students if they try to guess the riddles without finding the zeros of polynomials. Students can draw numbered ovals (from 1 to 12) which to write on the answers they have chosen to be correct. Polynomials included are of 3th, 4th, 5th and 6th degree. I recommend students to show work! 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 partner activity on complex zeros of polynomials. There are 12 sections. In each section each partner is given a polynomial (partner A is given polynomial A, and partner B is given the polynomial B). Partners have to find all the zeros of polynomials and to determine the common zeros between polynomials A and B. There are included polynomials of 3th, 4th and 5th degrees. This activity can be used as an independent practice as well. Students will search for the common roots between each two given polynomials which I think is more fun than just finding the complex zeros of a series of “random” polynomials. Answer keys are included. NOTE: This product is created as a Google Slides product. **I have converted it to PDF item here. **