These are 8 practice tickets designed for Trigonometry and PreCalculus Classes on finding the exact value of inverse trigonometric functions and evaluating trig function of an inverse trig function. There are 3 problems per ticket. The first problem is proving an equality of the type: trig function of an inverse trig function is equal to a real number. The second problem is finding the value of an expression of the type: trig function of the sum or difference of inverse trig functions. The arguments of the arcsin and arccos are +1 and – 1, 0.5 and -0.5, √3/2 and -√3/2, √2/2 and - √2/2 and the arguments of arctan and arccot are +1 and -1, √3 and - √3, √3/3 and - √3/3. The third problem is to evaluate an expression of the type trig function of an inverse function as this time the arguments of the inverse trig functions are fractions like -1/3, -2/5, -3/2 and students will need to use the Pythagorean identities to evaluate the given expressions. The product can be used as independent/extra practice, group activity, homework and even as an assessment. Student recording sheet and answer keys are included.

In this engaging and collaborative group activity (for groups of four), students will practice operations on functions (adding, subtracting, multiplying and dividing). There are 7 sections as each section has four subsections A, B, C and D (a total of 112 problems). In each subsection are given different pairs of functions as each partner has to perform adding, subtracting, multiplying or dividing. The subsections are four so each partner to go through the fourth different operations on functions. In section 1 the given functions f(x) and g(x) are both linear. In section 2 f(x) is a quadratic binomial and g(x) is a linear function. Section 3: f(x) and g(x) are both quadratic binomials. Section 4: f(x) or g(x) is a cubic binomial and g(x) or f(x) is a quadratic trinomial. Section 5: f(x) and g(x) are both radical functions. Section 6: f and g are rational functions. Section 7: in subsections A and B f and g are both exponential functions and in subsections C and D f and g are both trigonometric functions. The teacher can choose on which sections the students to work on. This group activity may turn into competition between groups. ☞The resource can be also used as four different forms of independent practice. 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.

This trigonometry activity consists of a total of 24 problems 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 six sections of four similar problems. The product is intended to be used for groups of maximum four members (there is a problem for each partner of the group in a section) . Solving similar problems in each section encourages the partners to help each other with methods. Moreover, this group activity may easily turn into a competition between groups. The product can be also used as an independent practice with four similar forms (form A, form B and forms C and D) if preferred. I have included a modified worksheet so the product can be used in this way. Here is the description of the problems in each section: Section 1&2 – given the hypotenuse and an acute angle. Section 3 – given an acute angle and its opposite side. Section 4 – given an acute angle and its adjacent side. Section 5 – given a leg and the hypotenuse. Section 6 – given the two legs. Students have to find the missing sides or/and angles. Answer keys are included.

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.

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.

These are 14 practice pages on geometric sequences. Students will use the explicit formula and the formula for the sum of the first n terms. ➤ Using the explicit formula students will have to find the nth term (problems Level 1) the first term (problems Level 1) the common ratio (Level 1) the number of terms (Level 1) the first term and the common ratio solving systems of two equations (Level 2) ➤ Using the formula for the sum of the first nth terms students will have to find the sum of the first nth terms (problems Level 1) the first term and Sn (Level 1) the common ratio and Sn (Level 1) the number of terms and Sn (Level 1) ➣ When given Sn (problems level 2) students will have to calculate n and r the nth term and r n and nth term the first term and r the first and nth terms n and first term The practice sheets can be used for independent and extra practice, enrichment, as a group activity( groups of 2, 3 and/or 4), homework and even as an assessment. Answer keys are 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.

This is a fun and collaborative matching activity for your students to practice expanding binomials using the binomial theorem. Students have to find a specific term in a binomial expansion working through 12 expressions. Student find the indicated term and then they look for their answer on a picture with kids holding blanks with the answers written on them. Students match the answer with the problem (record the letter of the problem near or upon the picture with the kid holding the answer of that problem). Students can work independently or in pairs. Student recording sheets and answer keys are included.

This is an engaging and collaborative partner activity for sketching graphs of polynomials. There are eight sections as in each section the problems of the partners are similar (problem A1 is similar to problem B1, problem A2 is similar to problem B2, etc). Partners are asked to sketch the graph of each polynomial function given and compare the graphs of each pair corresponding polynomials. They will find out that the shapes of the graphs A1 and B1 are similar, so are the shapes of the graphs A2 and B2 and so on. Partners can be given directions also to factor and compare the factored forms of each two corresponding polynomials and make conclusions. Thus they will verify that the sign of the leading coefficient, the number and multiplicity of the zeros of polynomials are determining for the shape of their graphs. There are provided coordinates grids where each axis are labeled using an appropriate scale as dictated by the problem so the sketching to become easier.

This is a Christmas lama themed multiple-choice activity on evaluating algebraic expressions involving exponents and operations with rational numbers. The problems slides/pages are four as on each slide/page there are given two numbers/numerical expressions u and v and two algebraic expressions A and B in the two variables u and v. Students calculate u and v and then substitute their values in the expressions A and B to evaluate them. There are given four optional answer choices for A and B. Students use the answers that they have obtained to find out the answers of the questions 1) why does lama love Christmas 2) what is lama doing most at Christmas 3) what is the lama favorite Christmas song and 4) what present does lama want for Christmas. A slide/page where students can record their answers is included. An answer key is included. The resource can be used as an extra Christmas practice. 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 is an engaging and collaborative group activity on infinite geometric series. It contains a total of 60 problems and consists of 7 sections. In each section each member of a group has his own problem(s) to solve as the problems of the partners are similar. In the 1st section partners have to write given series in summation notation. In the 2th section each partner has given three series (two of them are in summation notation) and is asked to find the sum of each. 3th section: Students have to find the common ration of the infinite geometric series with the given sum and first term. 4th section: Students have to find the first term of the infinite geometric series with the given sum and common ratio. 5th section: Each member of a group is given four series (in summation notation) and has to determine which of them converge and to give the value of each convergent series. 6th section: Students have to convert repeating decimals to fractional form. 7th section: Students are given geometry problems to solve by use of a geometric series. This activity may turn into competition between groups. The product can be also used as four different forms of independent practice, extra practice, enrichment and homework assignment. Student recording sheet and answer keys are included.

This is star wars themed activity on finding x – and y – intercepts of linear functions. It takes students through 10 problems of the following types – the linear functions is given in slope – intercept form (3 examples) standard form (4 examples) (x/a) + (y/b) = 1 form (3 examples) The activity can be possibly used as station or task cards. Student recording sheet is provided. Answer keys are included. I hope your students will love seeing these great characters on the activity sheet.

This is an eskimo girl themed practice/review on exponent rules (bases and exponents are natural numbers). Students are given 5 slides/pages to work on. 1 slide/page is writing expressions as a single power (12 problems), 2 slide/page is finding the unknown x (12 problems), 3 slide/page is evaluating expressions (12 problems), 4 slide/page is proving that an expression can be divided by a given number(6 problems) and 5 slide/page is simplifying an expression and evaluating the expression for the given values of the variables (5 problems). There is included one page where students can record their answers in a table. Students can work independently or in pairs. Answer key is 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 is an owls themed engaging practice on factoring trinomials. On slide/page first student are given four quadratic trinomials to factor (three are with a=1 and one is with a ≠1) and four rational fractions to simplify. The given trinomials are involved in these fractions. On slide/page 2 students have to find which of given eight quadratic trinomials have a common factor. On slide/page 3 students have to determine which of ten given trinomials can not be factored. The fourth slide/page is extra slide, there are given eight bi quadratic trinomials to be factored. Students can record on the slides/pages their answers and draw ovals around the chosen answers. Students 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!

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 is a students friendly themed practice/review on logarithms and operations with logarithms. Students 1. evaluate logarithmic expressions (on slide/page 1) 2. check the correctness of given logarithmic equalities (on slide/page 2) 3. expand logarithmic expressions (on slide/page 3) 4. condense logarithmic expressions (on slide/page 4) and 5. determine which statements/logarithmic inequalities are true/false. Students are given a table where to record their answers. Students can work independenlty, in pairs or in groups of three. Answer key is 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!

Students will practice solving multi-step inequalities with this duck engaging activity. The problem slides/pages are three as on each slide/page students are given six inequalities. On slide/page 1 students have to determine which of them are equivalent, on slide/page 2 students find which inequalities have no solution and on slide/page 3 students search for inequalities having all real numbers solutions. There is included one slide/page where students can record their answers and the last slide/page is answer key slide/page. 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 is a student friendly themed matching activity on polynomial and rational inequalities. There are 4 slides/pages each containing 5 “similar” problems (zeros of the binomials and/or trinomials involved in the inequalities are the same) but having totally different solutions. The fifth/page slide is a table where solutions of all the inequalities are given in shuffled order. Students have to record in this table the number of the corresponding problem next to its answer (to match the problem with its answer). This activity can be completed individually or students can work in groups. Answer key is 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 is an engaging scarecrow funny themed activity on operations on functions. Students are given 5 slides/pages to work on. Each slide/page contains 9 functions given in a table. Students type their answers in another table where are given 8 problems. 1 slide/page is adding functions, 2 slide/page is subtracting functions, 3 slide/page - multiplying functions, 4 slide/page - dividing functions and 5 slide/page are mixed operations. Functions included are linear, quadratic, cubic, rational, radical and exponential. (Students need to know how to perform operations with polynomials and rational expressions, rationalizing the denominator, dividing exponents, difference of squares formula, adding radicals to handle with the given problems). This activity can be completed individually or students can work in pairs/groups. Answer key is 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!