This is an engaging partner activity on adding and subtracting polynomials called “Get the Same Answer”. There are 6 problem pages/slides as each contains two sections/tables. In each section are given 4 polynomials labeled with A,B, C and D. One of the partners has to find A+C for example and the other has to find B+D. Partners will compare their answers to see whether they have obtained one and the same answer. There is provided a box in each section where students can type their answer. The first six sections require sums to be found (like A+D, B+C) and the next six -differences (like A-D,C-B). Thus each partner will work on 6 questions on adding polynomials and 6 questions on subtracting polynomials. The problems in last 2 sections are more challenging as they include polynomials of 5 and 6th degrees. 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!

In this fun multiple- choice activity students will practice simplifying rational expressions. There are 10 cards each containing one problem with four optional answers. A picture of an owl is given on each card and the name of owl species corresponds to each optional answer. Students solve the problem on a card and use the obtained answer to find out what species is the owl on the picture. Students are provided a recording sheet where to show their work. Answer key is included.

This is an engaging practice on rational expressions containing 41 problems that vary in difficulty. On page/slide 1 students have to evaluate three rational expressions for the given value of the variable and then to determine the domain of six rational expressions/functions. On page/slide 2 students are given 8 rational expressions to simplify them. On page/slide 3 students add or subtract rational expressions (8 problems), on page/slide 4 students multiply or divide rational expressions ( 8 problems) . On page/slide 5 students simplify more complicated rational expressions performing the indicated operations (4 problems) and at the end students have to prove four statements ( rational equalities). Students are provided empty spaces/boxes where to 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!

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 is an engaging and fun group activity (maximum of 5 members) on multiplying polynomials. The first page/slide is a table as the first column of it are given polynomials from A to G, the first row are given polynomials from H to L (the cell 11 is empty). There is a picture of an animal in each of the other cells. Students have to find the polynomial of each animal finding each of the products AH, BH,…AJ, BJ…,etc. Each member of the group have to find the polynomials of 7 animals (the teacher can chose which to be the animals). I have included one page/slide sample and another page where the teacher to chose the tasks of each member of the group. There is else one page/slide with questions to the group like how many animals have polynomials of third degree and which of the animals have sixth degree polynomials. There are provided empty boxes where students to record their answers. This activity can be also used as independent practice along with homework (the students can find the polynomials of some of the animals and the rest of the problems can be done as 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 teacher and board themed activity on solving matrix equations. There are four problem pages/slides. On the first page/slide, students are given four matrix equations of types A+X=B, X-A=B and A-X=B. Students are also given the answers and have to type the number of each problem next to its answer (matching). The matrices are of 2X2 dimensions. On the second page/slide, students are given three matrix equations of the same types as the matrices are 3X2, 2X3 and 3X3 dimensions. This time students have to answer three questions concerning the answers (like what is the sum of the elements of the obtained matrix X of problem 1). On the third page/slide, students have to solve 4 matrix equations of types AX=B and XA=B. They will need to find the inverse matrix of the matrix A and them to multiply A^(-1)B or BA^(-1). Students are given the answers and have to match each problem with its answer. And on the fourth page/slide, students have two matrix equations of types AX=B and XA=B as the matrices are of 3x3 dimensions. After solving the equations students are asked two questions concerning the obtained answers (like what is the sum a11+a22+a33 of the elements of the matrix X of problem 1). Students type their findings in empty boxes provided. This activity can be completed individually or students can work in pairs. 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 and collaborative partner activity for students to practice solving matrix equations. There are a total of 16 problems including matrices with dimensions 2x2, 4x1, 1x4, 3x3, 2x4, 4x2. Eight of the problems require adding , subtracting, and multiplying by a scalar to solve the problems. The other eight problems require finding the inverse to solve the problems. The equations are of types AX=B and XA=B. Six of the equations require finding the inverse of 2x2 matrices and two of the problems require finding the inverse of a 3x3 matrix. There are 8 sections. In a section each partner is given an equation to solve. Partner A solves for the matrix X and partner B solves for the matrix Y. For each section, a partner checks whether his answer is a matrix transpose of the matrix that his partner has found. Student recording sheet and answer keys are provided.

This is an engaging practice on radical expressions. On the first page/slide students are given two tasks. The first task is finding the domain of 6 irrational expressions the second task is rationalizing the denominator of 8 expressions. On the second page/slide students have another two tasks. The third task is evaluating 4 radical expressions for given values of the variables and the fourth task is simplifying 4 radical expressions. Thus, students are provided with a total of 22 various and challenging problems. The product can be used as independent/extra practice and enrichment. The answer keys are 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.

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.