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.

This activity practices solving rational equations reducible to linear by cross multiplication method. The types of equations included are described in details in the preview file. All coefficients and almost all of the solutions of the equations are integers. Activity Directions: In task 1, partners are notified that each pair of their problems (A1, B1), (A2, B2) and the rest have solutions of opposite signs. Students reduce the rational equations to linear using the cross multiplication and solve for the variable. They compare answers with each other to check if they have solved the equations properly. In task 2, partners are given another set of rational equations. This time they must determine the root of which of the equations of one partner is opposite in sign to the root of randomly chosen equation of the other partner. Solving each of their equations ( by cross multiplying ) and comparing the solutions will help partners to find out which pairs of equations have solutions of opposite signs. There is else one extra question. Partners need to find out which of another rational equations given have no solution. Partners response sheet and student recording sheets are specially designed and provided for this activity. All answer keys are included as well.

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.

These are 12 challenging problems on solving systems of two quadratic inequalities in one variable. Students can solve each system by using a sign chart, by using a double number – line or by representing the solution of each inequality on one and the same number line. Then students determine where the solutions of the two inequalities overlap and find the combined solution set of the system. The practice sheets give room for students to show work. This resource can be used as an independent/class/extra/advanced practice, enrichment or homework assignment. Answer keys are included.

Students will practice solving trigonometric equations by the square root method with this activity. This includes 12 cards and 12 problems that require students to be skillful at solving basic trigonometric equations. The focus is on finding the primary solutions of a trigonometric equation on the interval (0, 2π]. Activity Directions: Partners work cooperatively to match each equation with its private solutions written on a card. They are instructed to record the equation in the middle of a card presenting its solutions. Then pupils should find cards with equivalent equations. They use the cards to determine three fours of equations having the same private solutions on the interval given and sort the cards into groups. A recording sheet is provided for students to give accountability to the teacher. All answer keys are included.

This activity practices solving incomplete quadratic equations by taking square roots. Almost all of the equations are in standard form. Solutions are rational (integers and fractions) and irrational numbers. The fun part is finding an idiom corresponding to each solution sets of the partners’ quadratic equations labeled with one and the same small alphabetic letter. Activity Directions: Students start solving their own set of twelve equations by the square root method. They are given tables to use. Using table 2, each partner finds which two words correspond to each solution set of his equations. At last partners together rearrange the words corresponding to their equations labeled with one and the same small alphabetic letter and find out an idiom. They find out 12 different idioms and write them in table 3. Answer keys are included.

This activity practices computing FINITE limits (a total of 12 various examples) involving rational functions, radicals and trigonometric functions. Students will apply the properties of limits and evaluate the limits algebraically by factoring, conjugate and substitution methods. They will also need to use some basic trig limits. The limits in this activity can all be found without L’Hopital’s rule. Activity Directions: Students have to compute 12 limits. They are asked to use a table given to find the mathematician’s name corresponding to each of their answers. If students find all the limits correctly, they will learn the names of mathematicians involved in calculus. All answer keys are included.

This is a collaborative partner activity on partial fractions decomposition. It takes each partner through 8 problems of the following types – rational fraction with denominator (ax+b)(cx+d) ax^2 +bx +c where the quadratic trinomial can be factored (ax+b)^2 (ax^2 +b)(cx+d) (ax+b)(cx+d)^2 (x+a)(x+b)(x+c) x(ax^2 +bx +c) as the quadratic trinomial can not be factored (ax^2 +c)^2 Partners corresponding problems are similar (problem 1A is similar to problem 1B, problems 2A is similar to problem 2B and etc). This activity can also be used as a review in AP Calculus BC or College Calculus 2 before the Techniques of Integration section on Partial Fraction. Answer keys are included.

In this matching activity, students will practice simplifying 15 trigonometric expressions using fundamental trigonometric identities such as Pythagorean identities, quotient identities and reciprocal identities. In each slide/page (the pages/slides with problems are 3) students are given 5 expressions to simplify and 6 answer choices. There is an empty text box next to each answer choice so students can record the letter of the problem next to its answer. Answer keys 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!

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 and collaborative partner activity in which students will use the formulas for arc length and sector area. There are 12 sections as in each partners are given a central angle θ in degrees and the radius r of a circle. In each odd section Partner A has to find the area of the subtended sector and Partner B has to calculate the length of the intercepted arc. And in each even section Partner A has to find the length of the intercepted arc and Partner B has to compute the area of the formed sector. This is a cute way to help students remember the formulas for arc length and sector area. Student may convert the degrees into radians and use the formulas A=0.5θ r^2 and s=rθ (θ must be in radians) or they can use the formulas A=(θ/360) πr^2 and s=(θ/360) 2πr ( here θ must be in degrees). The given central angle θ is <90 degrees ; 90<θ<180; 180<θ<270 and 270<θ<360 degrees. The activity instructions don’t require that students round to the nearest tenth/hundredth/thousandth so they may leave their answers with pi or they may use the pi button on their calculator to obtain the answers, depends on teacher’s decision. The activity sheets can be used as response sheets. Recording sheet where students to show their detailed calculations is provided as well. Answer keys are included.

In this engaging and self - checking activity students will practice finding general solutions to 12 differential equations. The problems are of various difficulty and require using separation of variables and integration. There are 12 task cards – recording sheets with space provided for students to show their work. After finding the general solution, students must fill in the missing function f(x) for the answer given coded at the bottom of the card. The product is great for independent practice and it is appropriate for cooperative work as well. It can be possibly used as a partner or a group activity. Answer keys are included.

In this engaging and self - checking activity students will practice finding particular solutions to 12 differential equations. The problems are of various difficulty and require using separation of variables and integration. There are 12 task cards – recording sheets with space provided for students to show their work. After finding the particular solution, students must fill in the missing function f(x) for the answer given coded at the bottom of the card. The product is great for independent practice and it is appropriate for cooperative work as well. It can be possibly used as a partner or a group activity. Answer keys are included.

This coloring activity provides students with 12 problems. Students will divide polynomials by a monomial. After solving a problem, the students find their answer in a table. This tells them what color to use in the coloring page. Students are asked to show work on a recording sheet provided. Answer key is included.

This coloring activity provides students with 12 problems. Students will operate on functions as the functions included are polynomial, radical and rational. Students are given f(x) and g(x) and have to find their sum, difference, product or quotient. After solving a problem, the students find their answer in a table. This tells them what color to use in the coloring page. Students are asked to show work on a recording sheet provided. Answer key is included.

This coloring activity provides students with 12 problems. Students will compose functions as the functions included are polynomial, radical and rational. Students are given f(x) and g(x) and have to find f(g(x)) or g(f(x)). After solving a problem, the students find their answer in a table. This tells them what color to use in the coloring page. Students are asked to show work on a recording sheet provided. Answer key is included.

Students will review on rational expressions with these 16 multiple-choice questions. They will determine domain of rational fractions, simplify rational expressions and perform operations with rational expressions (adding, subtracting, multiplying, dividing, raising a rational fraction to a power), evaluate rational expressions. The last 6 problems are more challenging. Students have to show work on separate sheet of paper. This resource can be used as independent class practice, challenging extra practice, assessment or homework assignment. Please view the preview to see the problems included. Answer key is included.

This is a self-checking circuit activity on simplifying rational expressions. There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the 12 problems before returning to the start point. Answer keys are included.

This is a self-checking circuit activity on determining the domain of rational functions. There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the 15 problems before returning to the start point. Answer keys are included.

This is a self-checking circuit activity on expanding logarithms (logarithmic expressions). There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Answer keys are included.