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.

This resource contains total of 73 logarithmic equations of various type and difficulty. Students will apply the properties of logarithms to solve logarithmic equations algebraically. The packet has 3 worksheets: ⟐ The first worksheet has the students solving 23 logarithmic equations using the two primary methods - converting to exponential form and using the one-to-one property (3 pages). ⟐ The second worksheet is solving logarithmic equations by using the Product , Quotient and Power Rules (total of 24 problems, 3 pages) ⟐ The third worksheet has students solving logarithmic equations by using the properties of logarithms and the primary methods in combination (total of 26 problems, 4 pages). It could be used as a review on Logarithmic Equations. Solutions are rational and irrational numbers. There are some problems where students are required to use a calculator to round the answer. Students will need to determine the domain of the logarithmic expressions to check for extraneous solutions and eliminate them. The worksheets can be used as an extra practice, an enrichment, an additional assessment or homework assignment. All answer keys are included.

In this fun Valentine’s themed activity, students will practice simplifying trig expressions using the fundamental Pythagorean, quotient and reciprocal identities. Activity Directions: Students are asked to simplify 12 trig expressions. The corrected equivalent expresssions (the answers) are recorded on twelve of 13 hearts on a given picture. Every time students arrive at a correct answer, they will “win the heart” having this answer written on it. Students are also asked to find the only one heart who can NOT be won. The product can possibly be used as a partner or a group activity(group of 3). Student recording sheets, answer keys and solutions are provided. I hope you and your students ENJOY!

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 product is designed to be used for groups of 2, 3 and/or 4 members! It practices solving exponential equations with different bases using the properties of exponents and square roots without using logarithms. All the equations are of type “EXPONENTIAL FUNCTION = REAL NUMBER” and result in linear. There are included many examples where the base of the exponential function is a decimal, a fraction or an irrational number/square root. Activity Directions: Partners will each have their own set of 10 exponential equations. They start solving and write down the solutions of the problems on the recording sheet provided or on a separate sheet of paper. Then students look for the numbers they have found on the “keyholes board” - a set of keyholes given with numbers on them. They find some of their answers written on the keyholes, so they get the correct keys to “unlock” them. Partners mark the “unlocked keyholes” on the board. They record which are the “unlocked keyholes” and count them. Partners show the teacher their results. The group which is ready first and who has worked correctly wins. All answer keys are included. Here is the link of my version LEVEL 1 of this product. It contains easier exponential equations where the base of the exponential function is a counting number. https://www.tes.com/teaching-resource/resource-12627174

This product is designed to be used for groups of 2, 3 and/or 4 members. The activity practices solving simple exponential equations with different bases without using square roots and logarithms. All the equations are of type “Exponential function = Counting Number ” and the base of the exponential function is a counting number too. All the equations result in linear. Activity Directions: Partners will each have their own set of 12 exponential equations. They start solving and write down the solutions of the problems on the recording sheet provided or on a separate sheet of paper. Then students look for the numbers they have found on the “keyholes board” - a set of keyholes given with numbers on them. They find some of their answers written on the keyholes, so that way they get the correct keys to “unlock” them. Partners mark the “unlocked keyholes” on the board. They record which are the “unlocked keyholes” and count them. Partners show the teacher their results. The group which is ready first and who has worked correctly wins. All answer keys are included. Here is the link for Level 2 of this activity: https://www.tes.com/teaching-resource/resource-12627193

In this resource, students will practice solving rational equations reducible to quadratics using three types methods for solving:  Cross Multiplying  Multiplying by the LCD  Factoring to find the LCD This activity includes monomial, binomial, and trinomial denominators. The problems have a varying degree of difficulty. This product was not intended to include extraneous solutions. All the equations have two distinct real solutions (rational and irrational). The amusing part is creating compound words corresponding to each solution set of the rational equations given. Activity Directions: There are 18 problems total, separated into two sets. Partners start solving their own set of three groups of three equations by a specified method and check for extraneous solutions. 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 rational equation and the compound word corresponding to it in table 2 . Student recording sheets are specially designed and provided for this activity. Answer keys are included.