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.

This is an engaging and collaborative partner activity for students to practice finding determinants of 2x2 and 3x3matrices. There are 20 questions to be solved. Partner A start solving first. He finds the determinant a of his first problem (matrix) and gives his answer to his partner. Partner B takes the answer a of his partner and plugs it into his first matrix to find its determinant b. Then partner A takes the answer b and plugs it into his second matrix to find its determinant c. The activity goes still the same way - partners must use the answer from the previous question to substitute into the next problem. Students are given the final result so that they can check whether their work is correct. Answer keys are included.

These are 26 animal alphabet theme task cards dealing with simplifying and evaluating algebraic expressions. Expressions are of the types ax + b + cx + d (without brackets) and a(x+b)+c(x+d) ( with brackets) where a, b, c and d are integers. Each card contains an expression labeled with a large alphabet letter. After simplifying it , students have to evaluate the expression for a given value of x. Students may sort the cards into groups as in each group there should be included all the cards having the same answer. This product can be used as a group activity. Student recording sheet and answer keys are included.

In this engaging and collaborative partner activity, students will practice solving absolute value equations having rational solutions. The equations are specially selected so each pair or equations have a common root. The problems are three different types ▸ ∣ax + b∣ = c, c ≧0 ▸ ∣ax + b∣ = cx + d ▸ ∣ax + b∣ = ∣cx + d∣ Extraneous solutions are possible. Activity Directions: There are 24 problems total, separated into two sets. Partners start solving their own set of twelve equations by the most appropriate method and check for extraneous solutions. They must determine the common root between each two partners’ corresponding equations. ( For instance, the equations (1a) and (1b) are corresponding and have one common root, similarly the equations (2a) and (2b)… ). Partners record their answers and mark the common roots in a table given OR they record each common root in the area of each pair of intersecting ellipses on a figure given. Student recording sheets are provided for partners to show all work. An answer key is included.

This resource contains total of 86 well thought out practice problems on rational functions. Students will determine the characteristics of the rational functions – domain, range, holes, x – and y- intercepts, vertical, horizontal and slant asymptotes. There are eight practice worksheets from A to H where the problems are grouped/classified by topic. ◈ WS A - finding the domain ( 12 problems) ◈ WS B – finding the range ( 10 problems) ◈ WS C - finding the x – intercepts (12 problems) ◈ WS D – finding the y- intercepts ( 12 problems) ◈WS E – finding the vertical asymptotes ( 10 problems) ◈ WS F – finding the horizontal asymptote (12 problems) ◈ WS G – finding the slant (oblique) asymptote (8 problems) ◈ WS H – determining the holes (10 problems) This product can be used as in-class practice, an independent practice or group activity. It can be also used as an assessment or homework. Typed answer keys are included.

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.

In this partner activity students will practice · factoring quadratic binomials and trinomials and then · simplifying rational expressions There are given 8 sections, containing three problems each. The first and second task ask students to factor quadratic polynomials. The third problem requires students to simplify a rational fraction consisting of the polynomials of the previous tasks. Students have already factored the numerator and denominator so they only need to find common factors for the numerators and denominators and simplify. Partners will finally get one and the same answer. Response sheets are provided. (Students can use a separate sheet of paper to write down their solutions and staple them with the response sheets together). Detailed answer keys are included.

In this fun St. Patrick’s Day themed activity, students will practice solving quadratic equations by the most appropriate method. Activity Directions: Students are asked to solve 12 equations. The answers are recorded on twelve of 13 clovers on a given picture. Every time students arrive at a correct answer, they will “pick up the clover” having this answer written on it and will have good luck. Students are also asked to find “which clover brings more good luck”. It is “the one that doesn’t bring a correct answer”. The product can possibly be used as a partner or a group activity (groups of 2 or 3). Student recording sheets and answer keys are provided.

In this fun St. Patrick’s Day themed matching activity, students will practice solving exponential and logarithmic equations. Activity Directions: Students are asked to solve 12 equations (6 exponential and 6 logarithmic). The answers are recorded on twelve of 13 clovers on a given picture. Every time students arrive at a correct answer, they will “pick up the clover” having this answer written on it and will have good luck. Students are also asked to find “which clover brings more good luck”. It is “the one that doesn’t bring a correct answer”. The product can possibly be used as a partner or a group activity (group of 2 or 3) or in class as a review on both exponential and logarithmic equations. Student recording sheets and answer keys are provided. I hope you and your students enjoy! ✾ Happy St.Patrick’s Day!✾

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 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 an engaging and collaborative partner activity for evaluating logarithms. All logarithms are equal to integers and rational numbers. Activity Directions: Students are given ten sections to work through. In each section each partner is given a logarithm to evaluate (calculators are disallowed). Partners are asked to show all work and compare their answers. They must get opposite answers in each section. I have created modified worksheets so this product can be used as a group activity and independent practice. I have also included cards with the problems. Answer keys are included.

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 activity practices solving exponential equations using natural logarithms. Activity Directions: Students have to solve 12 equations. All correct answers (expressions with natural logarithms) and also incorrect are labeled with big Latin letters and typed in table 1. Students are asked to use this table and table 2 with mathematicians’ names so to find the mathematician’s name corresponding to each of their answers. If students solve all the equations correctly, they will learn 12 mathematicians involved in history of logarithms. This activity can be used as a group activity. Students could compete to see who can get all or most names first. It can be also used as a partner activity as well (each partner will solve 6 problems). Answer keys are provided.