In this collaborative partner activity students will practice simplifying radicals, including square roots only. The problems gradually increase in difficulty. Radicands are whole 2, 3 and 4 –digit numbers. There are 15 sections each containing 2 examples – 1 problems for partner A and one problems for partner B. Students are instructed to simplify the radicals and to do that by inspecting each radicand for a square factor. In each section, partner A/B compares his answer with his partner’s answer. He must have a√b and his partner must have b√a . The practice sheets give room for partners to show work. Answer keys are included.

This fun matching game/activity on simplifying radicals with two variables contains 12 challenging problems. Students simplify each of the given radical expressions. Their solutions are written on 12 of 14 dolphins and whales images. When students arrive at a correct answer, they “make a friend with the dolphin/whale” having this answer written on it. It is said that two dolphins are not friendly. Students have to find them out. The activity can be used individually or in pairs. Student recording sheet and answer keys are included.

This matching activity practices simplifying radical expressions by rationalizing the denominator. There are included 18 radical expressions as the problems vary in difficulty. Students simplify the given radical expressions.(The teacher can choose less examples than 18 to be worked on). Each expression is labeled with a large alphabet letter. Then students look for their answers on the answer board. Each answer is labeled with a small alphabet letter. Students connect each problem to its answer (match each large alphabet letter to a small alphabet letter). Student recording sheets and answer keys are included.

These are 50 practice problems of various difficulty on converting polar and rectangular equations. Problems A1- A25 require students convert rectangular equations to polar equations (Practice A). Problems B1-B25 require students convert polar equations to rectangular equations (Practice B). I hope that the practice worksheets give your students enough room to show their work. This resource can be possibly used as an independent /extra practice, as an enrichment and homework assignment. Typed detailed answer keys/solutions are provided.

This resource contains a total of 40 compound inequalities. Students are asked to graph each inequality and write the solution set using inequality and interval notation. Problems are classified into 4 categories: ⟐ The first worksheets have the students solving 8 inequalities involving “AND” (Intersection) ⟐ The second worksheet is finding the solution sets of 8 DOUBLE inequalities (Intersection again) ⟐ The third worksheet contains 8 inequalities involving “OR”(Union). ⟐ The fourth and fifth worksheets are two similar forms each containing 8 MIXED inequalities. Special cases including overlapping solutions, no solution, and infinite solutions are included. I hope the practice sheets give enough room for students to show work. The product can be used in class for cooperative learning, as partner or group activity, independent/extra practice, as a review, homework assignment or even as an assessment. Typed answer keys are included.

These are 50 practice problems on complex numbers in polar form. The problems are grouped by topic ❆ finding the polar form of a complex number (practice sheet A, 15 problems) ❆ converting complex numbers from polar to rectangular form (practice sheet B, 10 problems) ❆ finding the product of two complex numbers in polar form ( practice sheet C, 5 problems) ❆ finding the quotient of two complex numbers in polar form (practice sheet D, 5 problems) ❆ finding powers of complex numbers in polar form using DeMoivre’s Theorem (practice sheet E, 5 problems) ❆ finding roots of complex numbers in polar form (practice sheet F, 10 problems) I hope the practice sheets give enough room for students to show work. This resource can be used as an independent/extra practice, enrichment, review, homework assignment or even as an assessment. Answer keys are included.

This resource contains 50 questions. It focuses on solving polynomial equations in factored form by using the zero product property. The problems are classified into 3 categories according to the types of roots of polynomial equations. ⟐ The first worksheet has the students solving 10 polynomial equations with real solutions in factored form (equations type 1). ⟐ The second and third worksheets (two different variants/forms) are finding the real solutions of each of 8 polynomial equations (equations type 1). Some problems become more difficult to solve as may require use of factoring techniques, including GCF, difference of two squares and factoring quadratic trinomials or using the quadratic formula. These two worksheets can be used as a partner practice. ⟐ The forth worksheet has the students solving 8 equations with imaginary and complex solutions (equations type 2). ⟐ The fifth and sixth worksheets (two different variants/forms) are finding the real , imaginary and complex solutions (equations type 3) of each of 8 polynomial equations. Some problems become more difficult to solve as may require use of factoring techniques, including difference of two squares, sum & difference of cubes, factoring quadratic trinomials and using the quadratic formula. These two worksheets can be used as a partner activity. The product can be used in class for cooperative learning , as a partner or a group activity, independent (extra) practice, enrichment or homework assignment. Typed answer keys are included.

This resource contains 56 questions. It focuses on solving polynomial equations in standard form by using factoring (GCF, grouping, factoring difference of squares, sum and difference of cubes, perfect square trinomials, quadratic trinomials) and synthetic division. The problems are classified into categories according to the problem solving technique and the types of roots of polynomial equations (only real or real, imaginary and complex). There are also included quartic equations in quadratic form. ⟐ The first and second worksheets(two different variants/forms) have the students solving by factoring polynomial equations only with real solutions. These two worksheets can be used as a partner activity. (total of 16 problems) ⟐ The third and forth worksheets (two different variants/forms) are finding the real, imaginary and complex solutions of polynomial equations by factoring. These two worksheets can be used as a partner activity. (total of 16 problems) ⟐ The fifth and sixth worksheets have the students solving by factoring quartic equations only with real solutions with real and imaginary roots (total of 12 problems) ⟐ The seventh and eighth worksheets have the student solving by synthetic division polynomial equations only with real roots having real, imaginary and complex solutions (total of 12 problems) Typed answer keys are included.

These are three practice worksheets on Parametric Equations and Parametric Curves. Students will work on ✦ eliminating the parameter, writing the parametric equation as a rectangular equation and identifying the graph of the parametric curve ( WS # 1, 14 problems) ✦ finding parametric equations (writing two new sets of parametric equations for given rectangular equations) ( WS # 2, 8 problems) ✦ graphing parametric curves (sketching the parametric curve for given pair of parametric equations and giving the orientation of the curve) (WS # 3, 12 problems) Functions involved are polynomial, absolute value, rational, radical, exponential, logarithmic and trigonometric. I hope that the practice worksheets give your students enough room to show their work. This resource can be possibly used as an independent /extra practice, as an enrichment, homework assignment and even as an assessment. Detailed answer keys ( handwritten clearly) are included.

These are 12 turkey/Thanksgiving themed task cards. The cards are grouped with three similar problems per card. Students will review and demonstrate their knowledge of the following topics: domain and range of rational, radical and logarithmic functions - cards 1 and 2 horizontal and vertical asymptotes of rational, radical and logarithmic functions - cards 3 and 4 real zeros of rational, radical and logarithmic functions – card 5 intervals of monotonicity of rational, radical and logarithmic functions – card 6 real and imaginary zeros of polynomials (factoring polynomials, finding x- and y- intercepts, solving polynomial equations), solving polynomial inequalities in standard and factored form, solving rational inequalities – cards 7, 8, 10, 11 and 12 division of polynomials – card 9 Students can use the cards working in groups of 2, 3 and/or 4. The cards can be also used as an independent practice. The teacher or the student can choose which problems of each card to be solved like 1a, 2b, 3a, 4c…etc. Student recording sheets are provided. Typed answer keys are included. Have a Blessed Thanksgiving!

In this 12 questions - partner activity, students will solve systems of linear equations with three variables. The problems are adaptable to all methods ( elimination, substitution, Gaussian elimination, Cramer’s Rule) so the teacher or students can choose the methods they will use. All systems have one and only one solution ( All systems are consistent and their equations are independent)! The answer of each of Partner’s A problems are the same as the answer of each Partner’s B corresponding problem. (Problems A1 and B1 are corresponding, so as problems A2 and B2 and so on). Students are instructed to check whether their results match. If their answers don’t match, they work together to figure out what went wrong. Student recording sheets and answer keys are provided.

This resource contains total of 32 problems. Students will practice solving rational inequalities algebraically. They are asked to write the solution sets using interval notation. The problems are classified into 3 categories according to the form of the inequalities. The examples include first, second, third, fourth and sixth - degree polynomials. ⟐ The first and second worksheets have the students solving a total of 16 inequalities in factored and general form ( level 1 & level 2). ⟐ The third worksheet is finding the solution sets of 8 inequalities in general and not factored form. ⟐ The fourth worksheet contains 8 inequalities written in not general form. The product can be used in a variety of ways – in class for cooperative learning , as a partner or a group activity, independent practice or homework assignment. Typed answer keys are included.

These are two different, but similar forms of independent practice on solving systems of nonlinear equations. Each form contains three systems of quadratic and linear equations ( having respectively two solutions, only one solution and no real solutions) three systems of two quadratic functions ( having two solutions, only one solution and no real solutions) I have created worksheets for students to solve the systems only algebraically and worksheets to solve the same problems only graphically. Each problem has enough space for students to show work. Students are provided with coordinates grids where each axis is labeled using an appropriate scale as dictated by the problem so sketching to become easier. The systems can be solved both algebraically and graphically as well. It is depending on what the teacher decides. This product can be used as in-class practice, an independent practice, partner activity or group activity (groups of two). It can be also used as an assessment or homework. Typed solutions are included. All the graphs are drawn in CorelDRAW. *I have also included cards with the problems and cards with the graphs so this can be also used as a matching activity.

In this 18 questions - matching game, students will solve absolute value equations of four types ▸ ∣ax + b∣ = c, c ≧0 ( eleven problems) ▸ ∣ax + b∣ = cx + d ( three problems) ▸ ∣ax + b∣ = ∣cx + d∣ ( two problems) ▸ m ∣ax + b∣ + n ∣± ax + b∣ = p ( the last two problems) Activity Directions: Students find the solution to each of the equations. The solution sets are written on 18 of 20 mushrooms. When students arrive at a correct answer, they “pick the mushroom” having this answer written on it. It is said that two mushrooms are “poisonous” – with an incorrect answers written on them . Students have to find them out. The activity can be used individually, in pairs or in groups of 3. Student recording sheets and answer keys are included.

This is an engaging and challenging practice on adding, subtracting and scalar multiplication of matrices. It consists of 8 practice tickets as each ticket contains three related tasks. The answer of the first task is needed for the answer of the second task to be found. The answer of the second task is needed for the third task to be completed. In each task students perform indicated operations to find a matrix. When students have completed the tasks on a ticket they would have found three related matrices A, B and C. If the answer for the obtained matrix C is correct then the obtained answers for the matrices A and B are correct as well. The matrices included are 4x1, 2x2, 2x3, 3x2, 3x3 and 4x3. You will need to print, cut and laminate (for durability) the tickets. Student recording sheets and answers keys are provided.

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.

These are owl themed task cards on multi-step equations and multi-step inequalities engaging and challenging for your students. Each card contains three multi-step equations or three multi-step inequalities. Student are asked to determine whether these three are equivalent and to show/prove that the three equations or inequalities on a card are equivalent. There are included inequalities with infinite many solutions and with no solution. This product can be possibly used as a partner or a group activity (groups of 2 and 4). Student recording sheets and answer keys are provided.

This is a fun matching activity for students to practice finding the inverse of 2x2 and 3x3 matrices. The inverse of matrix can be found using a formula (for 2x2 matrices), the augmented matrix method and/or the adjoint method ( for 2x2 and 3x3 matrices). The teacher has to decide if students will be permitted to use calculators. There are 8 questions - four 2 x 2 matrices and four 3 x 3 matrices. (All matrices selected have inverses.) Students calculate the inverse of each matrix going with a picture of a boy named. Then they look for their answers in a given table with pictures of girls’ faces and their names and find out who is the girlfriend of each of the boys. If students cut the cells of the tables, they can match the matrices and their solutions. The activity can be used individually or in pairs. Student recording sheets and answer keys are included.

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 a fun matching activity for students to practice finding determinants of 3x3matrices. Students evaluate the determinants of 12 matrices labeled (going) each with a mask. Then they look for their answers on a given picture with students’ faces and their names and find out who is hiding behind each mask. (It could be presented as a story about students who had a masked ball in which the participants attended wearing animal masks. Students decided to reveal each other who had been hiding behind each mask during a special lesson in math on determinants of matrices). The activity can be used individually, in pairs or in groups of 3 or 4. Student recording sheet and answer keys are included.