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.

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 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.

This is fun matching game/activity on simplifying radicals with one and two variables and of negative numbers, thus resulting in an answer with imaginary number i. It contains 10 challenging problems. Students simplify each of the given radical expressions. Their solutions are written on ten of 11 dinosaurs images. When students arrive at a correct answer, they “tame the dinosaur” having this answer written on it. It is said that only one dinosaur can not be tamed. Students have to find it out. The activity can be used individually or in pairs. Student recording sheet and answer keys are included.

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.

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 is an engaging practice on finding the distance and midpoint between two points. It consists of two parts: Part 1 contains 9 various problems on finding the midpoint (determining the coordinates of the midpoint given coordinates of the endpoints of a segment, given coordinates of the midpoint and one of the endpoints and finding the other endpoint, parametric problems on midpoint, finding the midpoint given a graph) Part 2 contains 7 various problems on finding the distance between two points (finding the slope and length of segment given coordinates of the endpoints and given a graph, determining whether two segments are congruent, determining whether a given triangle is right and isosceles, finding the perimeter of a triangle) The practice sheets give enough room for student to show work. The product can be used as independent/extra practice, enrichment or/and homework assignment. Answer keys are included.

This is an engaging and collaborative partner activity on writing linear equations in slope- intercept form. There are 12 sections as in section 1 Partner A is given two points and Partner B is given a point and slope. In section 2 Partner A is given a point and slope and Partner B is given two points. In section 3 Partner A again is given two points and Partner B is given a point and slope. In section 4 Partner A is given a point and slope and Partner B is given two points… In each section the answer of Partner’s A problem is the same as the answer of Partner’s B problem. Students are instructed to compare their answers and check whether their results match. If their answers don’t match, they work together to figure out what went wrong. I hope the practice sheets give enough room for students to show work. Answer keys are included.

This resource contains a total of 48 practice problems on Pythagorean theorem. The problems are classified into 4 categories as follows: A. Problems on finding the hypotenuse ( 8 problems with given figures and 6 text problems) B. Problems on finding the missing leg (7 problems with given figures and 6 text problems) C. Problems on finding the missing side (it could be the hypotenuse or a leg of the triangle) ( 6 problems with given figures) D. Problems using the Inverse of Pythagorean theorem – determining whether given dimensions belong to a right triangle (given 12 triples of numbers and 3 problems with given figures/triangles) The practice sheets give room for students to show work. 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.

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.

With this fun activity/multiple-choice game, students will simplify radical expressions using adding , subtracting, multiplying, division and raising (sum and difference) to the second power. There are given 9 “cards” with a challenging multiple choice question on each card. A picture of a wildcat corresponds to each problem. Students have 4 options for what could be the correct answer of their problem and respectively 4 corresponding options for the possible species of the cat. Students use their answers to identify what species are the wildcats. A student recording sheet is provided. Answer keys are included.

This is an engaging practice on exploring quadratic functions. Students are given 66 quadratic functions in standard and vertex forms. They have to identify/find the axis of symmetry (9 problems) the vertex (10 problems) the minimum or maximum (8 problems) the range (6 problems) the intervals of increasing and decreasing (10 problems) the y- intercept (9 problems) the x- intercepts (14 problems) This practice can help learners strengthen their understanding on characteristics of quadratic functions and then deal with the process for graphing quadratics easily. The practice worksheets have enough room for students to show their work. Answer keys are included.

This resource contains a total of 27 practice problems and focuses on using Pythagorean theorem with other geometric shapes. The problems are classified into 5 categories as follows: A. Problems with equilateral and isosceles triangles (finding the altitude, area and perimeter of the triangle) (6 problems) B. Problems with rectangles (finding the diagonal) (6 problems) C. Problems with squares and rhombi ( finding the diagonals and the area) (6 problems) D. Problems with trapezoids (finding the diagonals, non-parallel sides, perimeter and area) (6 problems) E. Other shapes/cases (finding the area of regular hexagon and circle) (3 problems) The practice sheets give room for students to show work. Answer keys are included.

This engaging practice allows students to explore and graph square and cube root radical functions. It contains 40 various and challenging problems. Students will have to ✤ identify the domain of given radical functions (4 problems) ✤ determine the range of functions (4 problems) ✤ find x- and y- intercepts of given function (4 problems) ✤ determine which of given points are on the graph of a given function (1 problem) ✤ find zeros of radical functions (4 problems) ✤ evaluate radical functions for given values of the variable (2 problems) ✤ find the point of intersection between two radical functions (4 problems) ✤ determine the value of a parameter given a radical function involving the parameter and passing through a given point (1 problem) ✤ find the inverse of 5 radical and 3 polynomial functions (8 problems) ✤ sketch the graph of given radical functions ( 8 problems) I hope the practice sheets give enough room for student to show work. Grids are provided. The product is useful for independent/extra practice, enrichment, review, homework assignment and assessment. Answer keys are included. (The graphs are drawn with CorelDraw!)

This is a collaborative and fun partner activity on finding the vertex of a quadratic function. Students will work in pairs through 12 sections (or less ). In each section, a partner is given a quadratic function in standard form to determine its vertex. Partners compare their results to see whether in each section they have obtained one and the same answer. The practice worksheets give room for students to show their work. Answer keys are included.

Students will factor polynomials with four terms using the factor by grouping method in this collaborative partner activity. It consists of 12 sections as in each section students are given one and the same problem. Partner A is instructed to group the first two terms together and then to group the last two terms together, while Partner B is instructed to group the first and third terms together and then to group the second and forth terms together. Thus partners see that factoring by grouping problems can be approached at least in two different ways. In the next section students are given the next problem as this time Partner A is instructed to group the first and third terms together and then to group the second and forth terms together and Partner B is instructed to group the first two terms together and then to group the last two terms together. Then, in the same manner as in section 1, Partner A groups the first two terms together and …etc. I hope your students will love this activity and find it enjoyable and helpful. The practice sheets provide room for students to show work. Full solutions are included.

This is a collaborative group activity (for groups of 2,3 and/or 4 members) on factoring difference of squares. It consists of 12 sections as in each section there are 4 similar problems - one problem for each of the partners. Problems gradually increase in difficulty with each subsequent section. Problem types include: difference of squares of monomials ( Level 1) difference of square of monomial and square of binomial (Level 2) difference of square of binomial and square of monomial (Level 2) difference of square of binomials (Level 3) This activity may be turned into a competition between groups . In each section it is given the certain number of points that each problem solved correctly offers. The number of points are directly proportional to the difficulty level of the problem. I hope the practice sheets provide enough room for students to show work. 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.