In this partner activity, students will practice composition of two functions. The composite functions are notated two different ways: f(g(x)) and (f o g)(x). There are included linear, quadratic, rational, radical, absolute value, trigonometric and exponential functions. There are 10 sections as in each section partners are given two functions. In section 1, Partner A has to find f(g(x)) and Partner B has to find g(f(x)). In section 2 Partner A has to find g(f(x)) and Partner B – f(g(x)). In section 3, Partner A again has to find f(g(x)) and Partner B – g(f(x)) and so on. Students find out that in each section they get quite different results and understand that it is important to be careful which function comes first. The practice sheet give room for students to show work. Answer keys are included.

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.

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 is an engaging and challenging practice on finding and using the values of special angles from the unit circle to evaluate 10 trigonometric expressions. The expressions include two or three trig functions combined using algebraic operations like A = 2sin(pi/4) - tan(4pi/3). All values of angles are given in radians. Students can use their unit circle. The practice worksheets give enough room for students to show their work. The product is useful for classwork as extra/ advanced practice, enrichment or homework. Full solutions are included.

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

This activity practices solving quadratic equations.The half of the equations are in standard form and set to zero and the other half have one term on the right side of the equation. There are also included incomplete quadratic equations. Solutions are only rational numbers. Activity Directions: Partners will each have their own set of 8 quadratic equations. They solve the first four of them by factoring and the rest – by the most appropriate method they choose. Then they search for the numbers they have found on the “balloons board” - a set of balloons given with numbers and words on them. When students find their answers written on some of the balloons, they “burst” (strike-through) them. The words written on these balloons will be eliminated too. Partners continue solving still that way and at last they will have some balloons “survived” inseparably with the words on them. They can arrange all these words remained to make a proverb. All answer keys are included. I hope your students enjoy “eliminating balloons” and searching for wisdom sayings.

This is an elephant themed maze on solving polynomial equations (3th and 4th degree equations with real and imaginary roots). Students start solving and use each answer to navigate through the maze. Students will need to solve 13 equations properly to complete the maze. Students can draw a line to display their answer path. Students can show their work writing in the table on the second page/slide. Detailed answer keys are included.

This is an engaging teacher themed practice on evaluating trigonometric expressions of an acute angle. It consists of three problem pages/slides as each page/slide contains four problems. On page/slide 1 and 2 students have to evaluate eight trig expressions for the given value of the angle theta. One of the purposes of these problems is for students to learn the values of trig functions for 30, 45 and 60 degrees. Students will handle these 8 problems if they have good skills in simplifying radical expressions. On page/slide 3 students have to evaluate four expressions using the information given for each of them. Here students are expected to apply algebraic manipulations like squaring the both sides of the given equation and using the fundamental Pythagorean identity and dividing by sin(theta) or cos(theta) the numerator and denominator of the given fractional expression, etc. Students can record their answers on the pages/slides in the empty boxes provided. 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 three slides on a page for easy and more economic printing!

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.

Students will convert decimals to fractions and fractions to decimals with this duck themed fun practice. Each slide/page contains 15 problems. On the first and second slides/pages students are given decimals to convert them to fractions and on the third and fourth slide/pages students have to convert the fractions given to decimals. There are empty boxes provided for students to record their answers on the sheets. They can work independently or in pairs. 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 resource contains total of 16 limits. Students will apply the properties of limits and evaluate the limits algebraically by factoring and substitution methods. They will also need to use basic trig limits and identities to solve the limits of trig functions. The limits in this activity can all be found without L’Hopital’s rule. The packet has 2 worksheets: ⟐ The first worksheet has the students solving 8 limits of rational functions. ⟐ The second worksheet is solving 8 limits of trigonometric functions. The worksheets can be used as extra practice, for enrichment, an assessment or homework. It can be also used as a partner activity – like that: Partner A will solve WS # 1 while Partner B solves WS # 2, then they swap papers and Partner A will solve WS # 2 while Partner B solves WS # 1. Once they have completed the work, they compare their results. If there are different answers to one and the same problem, students have to identify and correct any errors. All answer keys are included.

These are two similar forms of engaging practice on polynomial identities – square of a difference. 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 adding and subtracting polynomials. The seventh problem is evaluating the value of an expression with two variables given the values of the variables. The product can be used as an extra/independent practice, for group activity (groups of two), quiz, enrichment and homework assignment. Answer keys are included.

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 activity practices converting between polar and rectangular coordinates. Students will work on 12 problems. The first six problems are converting given rectangular coordinates into polar coordinates. The next six problems are converting points in polar coordinates to rectangular form. Students 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 problems right. The practice sheets give enough room for students to show work. Answer key is included.

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 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.

This trigonometry practice consists of 12 problems (12 given diagrams) in which students will practice finding missing side and angle measures in right triangles using the sine, cosine, and tangent ratios. The problems are divided into four groups of three (four cases). In the first group of problems students need to find the opposite side in the right triangle. The second group of problems is finding the adjacent side. The third case is finding the hypotenuse. And the four case is finding the measure of a missing angle. Practice sheets give enough room for students to show work. Answer keys are included.

Students will use the power, quotient and power rules of exponents to find the value of each of 10 exponential expressions. The problems are challenging and include negative bases of the exponents. Students search for their answers consecutively in a table whose cells contain a numbers and a word to find an aphorism. Student recording sheet and answer keys are included.

This activity is designed to be used for groups of 4 members! It practices solving quadratic equations by factoring. The most of the equations have one or two terms on the right side and need to be reduced in their standard form. The leading coefficient is 1. Solutions are only integers. Activity Directions: Partners will each have their own set of 8 quadratic equations. They start solving and write down the solutions of the problems on the recording sheet provided. Then students look for the answers they have found on the “skittles board” – set of “pairs of skittles” given with numbers on them. They will find that all their solution sets are written on these pairs. Each player must cross out or mark the pairs of skittles which represent the solution sets of his equations. The group which has solved all the equations correctly and has “knocked down all the skittles” first, wins. Answer keys are included.

These are three versions (three levels) independent practice on factoring polynomials by determining the greatest common factor. Versions A and B contain 15 problems each and version C has 10 more challenging examples. The product can be used as an extra practice, enrichment or homework assignment. It can be also used as a group activity - competition between groups of 2 or 3 as the members of the group will chose who which version to solve. The practice sheets give enough room for students to show work. Answer keys are included.