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 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.

In this 12 questions - matching game, students will solve systems of linear equations with three variables by elimination and substitution or using Gaussian elimination. Cramer’s Rule is another method that students can use to solve ten of the systems. (There is one system that is consistent and its equations are dependent and one system that is inconsistent). Students find the solution to each of the given systems of equations. Their solutions are written on twelve of 13 fish. When students arrive at a correct answer, they “catch the magic fish” having this answer written on it. It is said that only one fish is not really magic, because it doesn’t fulfill wishes. Students have to find it out. The activity can be used individually, in pairs or in groups of 3 or 4. Student recording sheets and answer keys are included.

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.

These are two similar forms of engaging practice on polynomial identities – square of sum. Each form contains 7 problems. Students are asked to expand and simplify 6 expressions. The questions are of varying difficulty, ranging from simple to complex. Student will be required to apply their knowledge of multiplying monomial by binomial and subtracting polynomials. The seventh problem is evaluating the value of an expression with two variables given the values of the variables. The practice sheets have enough room for students to show work. The product can be used as independent/extra practice, enrichment, assessment and homework. Answer keys are included.

This is a multiple-choice fun St. Valentine’s Day activity on evaluating polynomial functions. On each page/slide students are given one polynomial to evaluate for a given value of x. Students are asked to use substitution or synthetic division or both methods. There is given a picture of heart and faces of a girl and a boy inside the heart, students also have four answer choices and love words corresponding to each answer choice. Students have to use their answer to find what love words has the boy said to the girl on St. Valentine’s Day. The pages/slides with problems are eight. Students can draw a shape of a heart to mark their answer choice in each slide. The polynomials included are of 3th, 4th, 5th, 6th and 8th degree, the number of terms are from 4 to 6. This activity can be completed individually or students can work in pairs (partner A will evaluate the polynomial using substitution and partner B will evaluate the same polynomial using synthetic division, then partners compare their answers and choose the correct answer choice; on the next page/slide partner A will use synthetic division and partner B will use substitution to solve the problem. Thus partners will practice both methods and will enjoy this activity together. I think this activity can be used in all days of school year. The answer key is given 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 multiple-choice game on multiplying radicals. There are 10 pages/slides with problems as each page/slide contains two similar problems. Each problem is labeled with a large alphabet letter written on a picture of a mother penguin. Students are given four answer choices labeled with the small letters a,b,c and d each written on the picture of a baby penguin. Students solve a problem, choose an answer and write the letter of the baby penguin to its mother matching the problem with its answer. The problems increase in difficulty with each next page/slide. On the first four pages/slides students multiply two radicals, in page/slide 5 they multiply three terms, in pages/slides 6, 7 and 8 students will need to use the distributive property and FOIL and in pages/slides 9 and 10 students multiply radicals with variables in the radicands. This activity can be used as an independent practice and partner activity. If students work in pairs student A will solve the first problem of a page/slide and student B will solve the second problem of the same page/slide and because they have similar problems students can help each other with methods. 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 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.

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.

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!

In this lessson, students learn to apply the three most important Pythagorean identites and their variations. The lesson covers the following applications of Pythagorean identities: • Evaluating trigonometric functions • Simplifying trigonometric expressions • Verifying or proving other trigonometric identities It includes o 6 solved examples & 6 similar to them for students to try to solve them by their own o guidelines o 21 various and engaging practice problems o answer keys and full solutions The lesson can be divided into two or three parts if preferred.

This activity practices solving complete quadratic equations by all methods. All the equations have terms on both sides. Partners have similar type of problems so as to meet similar difficulties. They will each have their own set of three groups of six equations which must be solved by a specified method.The amusing part of this product is creating compound words corresponding to each solution set of the quadratic equations given. Activity Directions: Partners start solving their own set of three groups of six equations by a specified method. Once students has found the solution set of each equation, they are given two tables to use. There is a word corresponding to each number written in table 1. Using this table, students find which two words correspond to each solution set of their equations and make compound words. They record the solution set of each quadratic equation and write down the compound word corresponding to it in table 2 . Students show down detailed solutions on student recording sheets specially designed for this activity or they can solve the problems on a separate sheet of notebook paper. All answer keys are provided. You can split this activity into two or three parts!

This is a great activity that practices solving quadratic equations with rational roots. There are included quadratics in standard and vertex form, though more of the equations have terms on both sides. Students are asked to solve the equations by the most appropriate method. Activity Directions: Students solve 12 quadratic equations. They use a given table to find which character (letter, number or sign) corresponds to each of their answers and fill in another table to obtain a funny password. Students tell the password to the teacher. If it is correct, then they have solved all equations right. There are included 4 different versions ( 4 passwords) so this activity can be used as a group activity. Answer keys are included.

These tests can be used in Algebra 2 and Regular Pre-Calculus class. The product assesses students on properties of logarithms and solving logarithmic equations. There are included common and natural logarithms. All of the equations can be reduced to a linear or quadratic form. Extraneous solutions are possible so students will need to check answers or determine the domain of the respective logarithmic functions. The resource contains multiple choice questions. Included are two different versions along with FULL typed SOLUTIONS to both (14 problems). A recording sheet is provided as well. I have also included engaging homework with pretty answers (14 problems with answer keys).

In this fun strawberry themed activity, students will operate with rational expressions (add, subtract, multiply, divide) and simplify rational expressions. Activity Directions: Students are asked to simplify 12 expressions. The equivalent to them expressions (the answers) are recorded on twelve of 13 strawberries on a given picture. Every time students arrive at a correct answer, they will “pick up the strawberry” having this answer written on it. Students are also asked to find the only one strawberry who can NOT be picked up. “It is the sweetest one”. The product can possibly be used as a partner or a group activity (groups of 2 or 3). Student recording sheets, answer keys and solutions are provided.

This is a collaborative partner activity to practice condensing and expanding logarithmic expressions using the properties of logarithms. Partners work through 12 sections. Each section contains one logarithmic expressions to be expanded by one of the partners, then the other partner must check his partner’s work by condensing the obtained expression. In the next section, partners take turns and it goes the same way. If extra practice is needed Partner A and Partner B can change places with each other and continue solving. Applying both expanding and condensing logarithms help students gain a better understanding of the relationship between these operations. Solutions are provided.

This activity is designed to be used for groups of 4 members! It includes four different multiple - choice quizzes each of eight radical equations and a brief biographical text of NASA research mathematician Katherine Johnson (to be completed). Students will practice solving radical equations reducible to linear and quadratics. Extraneous solutions are included. 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 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: Students solve all the equations. The answers they get will give them pieces of a brief biographic story about the American scientist Katherine Johnson. It can stimulate student interest in Math and provide a role model for all students. Recording sheets are provided for students to show all work. Answer keys are included.

This resource contains a total of 49 problems. Students will apply the properties of logarithms to evaluate logarithms and logarithmic expressions. The packet has 5 worksheets: ⟐ The first worksheet has the students evaluating 15 logarithms without using a calculator. ⟐ The second worksheet is evaluating 15 logarithms with base 10 and base e without using a calculator. ⟐ The third worksheet has students evaluating 9 logarithms by using the change of base formula and a calculator. ⟐ The forth worksheet is evaluating 5 logarithmic expressions with same base. Calculators are not allowed. ⟐ The fifth worksheet is evaluating 5 logarithmic expressions with different base. Calculators are not allowed. The worksheets can be possibly used as partner or group activity, an extra practice and enrichment, an additional assessment or homework assignment. Full solutions (handwritten clearly) are provided.

This is a set of 18 task cards with a Wizard theme on multi – step equations and inequalities. Students will solve three types of problems each containing an equation and an inequality. ▸ The first 6 problems (cards A1- A6) are showing that a given multi – step equation satisfies a given multi – step inequality. ▸ The next 6 problems (cards B1 – B6) are showing that a given equation doesn’t satisfy a given inequality. ▸ The last 6 questions (cards C1 – C6) are finding the common root between given multi – step equation and a multi - step inequality. Students work independently or in groups of two or three. Student recording sheets and answer keys are included. ❉ This may turn to fun motivational activity. Students can imagine that these are wizard’s task cards. The wizard is a mathematician and he is a good person. He will fulfill the good wish of those students who solve all of the problems correctly. The wizard can be the teacher herself or himself rewarding the students for their efforts.