This is an engaging practice on multiplying and dividing rational expressions that consists of 4 tasks. The first task is multiplying and dividing rational expressions (eight problems), the second task are three problems, students have to perform the indicated operations and then to evaluate the obtained expressions for the given values of the variables. Task 3 is proving that two statements are true and task 4 is finding an unknown rational expression U so that a given statement to be true. This product can be used as independent extra practice, homework or assessment. There is provided a page/slide with tables where students can record their answers.(Students can show their work on separate sheet of paper). Answer key is included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.

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!

This is a challenging activity to promote students thought, creativity and discovery. The product can be used for groups of 4 members or as an individual practice (4 different versions included). Students will practice solving quadratic equations with rational and irrational coefficients having only irrational solutions. Some of the equations are in standard form and the other have one term on the right side of the equation. Each quadratic equation must be solved by a specified method - completing the square or the quadratic formula. There are problems included, where students need to • rationalize denominators containing radicals • find the square of a sum or a difference between rational and irrational numbers • find the common root between two equations Hints are included to help students check if their ”pretty” answers are correct. If this resource is used for group work, there is a group response sheet specially provided. There partners are instructed to calculate the sum or/and product of all their answers to corresponding problems. They record their findings, surprised to discover that their collective answers are “pretty” numbers too. A recording worksheet is included for students to show work. All 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.

The activity contains more challenging problems on different types of trigonometric equations. Students will practice solving trigonometric equations by factoring, the quadratic formula and the square root method. The equations require the use of fundamental trigonometric identities double - and half- angle, angle - sum and - difference, sum - to- product and product - to -sum identities There are four sections, each containing four different equations. Students find the general solutions to each of the equations in a section. Then they must determine which of the equations have a given general solution as their own solution. Thus students find groups of trigonometric equations having a common general solution. This quiz can be used in class practice or as a group activity (groups of 4). It can be used for enrichment/extra practice, review, as an assessment or homework as well. All answer keys are included.

This is an engaging practice on finding the distance and midpoint between two points. It consists of two parts: Part 1 contains 9 various problems on finding the midpoint (determining the coordinates of the midpoint given coordinates of the endpoints of a segment, given coordinates of the midpoint and one of the endpoints and finding the other endpoint, parametric problems on midpoint, finding the midpoint given a graph) Part 2 contains 7 various problems on finding the distance between two points (finding the slope and length of segment given coordinates of the endpoints and given a graph, determining whether two segments are congruent, determining whether a given triangle is right and isosceles, finding the perimeter of a triangle) The practice sheets give enough room for student to show work. The product can be used as independent/extra practice, enrichment or/and homework assignment. Answer keys are included.

Students will factor polynomials with four terms using the factor by grouping method in this collaborative partner activity. It consists of 12 sections as in each section students are given one and the same problem. Partner A is instructed to group the first two terms together and then to group the last two terms together, while Partner B is instructed to group the first and third terms together and then to group the second and forth terms together. Thus partners see that factoring by grouping problems can be approached at least in two different ways. In the next section students are given the next problem as this time Partner A is instructed to group the first and third terms together and then to group the second and forth terms together and Partner B is instructed to group the first two terms together and then to group the last two terms together. Then, in the same manner as in section 1, Partner A groups the first two terms together and …etc. I hope your students will love this activity and find it enjoyable and helpful. The practice sheets provide room for students to show work. Full solutions 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 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.

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.

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!

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 resource includes multiple-angle trigonometric equations for your students to solve on the interval [0, 2π). There are four sections, each containing three different equations. The equations included in each section involve respectively double, triple, half and quadruple angle. No identities are required other than the reciprocals of the six basic trigonometric functions. Students will only need to use algebraic manipulations to isolate the trigonometric function on one side of the equation. Activity Directions: There are given three equations and a set of radians in each section. Students start solving the equations on the specified interval. Then they must determine which one of the equations has the given set as its own private solutions. The possible answers are – one, two or not even one of the equations has the given set as its own private solutions. This activity can be used as individual practice or in a small group. It can be used as an assessment as well. An answer key is included.

This coloring activity provides students with 12 problems. Students will simplify expressions using the distributive property and combining like terms. 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 evaluate linear functions for the given input value. 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 9 problems. Students will solve systems of linear equations with 3 variables. 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 matching activity practices simplifying radical expressions by rationalizing the denominator. There are included 18 radical expressions as the problems vary in difficulty. Students simplify the given radical expressions.(The teacher can choose less examples than 18 to be worked on). Each expression is labeled with a large alphabet letter. Then students look for their answers on the answer board. Each answer is labeled with a small alphabet letter. Students connect each problem to its answer (match each large alphabet letter to a small alphabet letter). Student recording sheets and answer keys are included.

This is an activity called “Inquisitive Animals” on cube root. There are five pages/slides as on each three animals ask three questions on cube root. Students can answer each question writing on the worksheet/slide below the question. The questions concern exact and approximate value of cube root, comparing cube roots and integers/whole numbers, cube root equations, volume of cube and sphere. This activity is student friendly and more fun alternative of task cards. 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 practice worksheet consists of 3 pages and contains 20 problems. Students will practice differentiation of trigonometric functions using the basic properties of derivatives, derivatives of the functions sinx, cox, tanx and cotx, the power, product, quotient and chain rules. There are examples with composite functions where trigonometric function is substituted into exponential and logarithmic functions and examples where exponential function is substituted into trigonometric function. There is one example where the trig function is radicand. Pages 1, 2 and 3 require students to find the first derivative of 17 functions. Page 3 has another 3 problems on finding the equation of the tangent line to a trig function at a given point. Useful for independent /extra practice, enrichment or homework assignment. Typed answer keys are included.

This resource contains total of 30 problems. Students will practice higher order differentiation of common and composite functions (with and without the chain rule). The packet has 4 worksheets: ⟐ The first worksheet has the students finding the second derivative of 10 various common and composite functions. ⟐ The second worksheet is finding the third derivative of 6 functions (without using the chain rule). ⟐ The third worksheet is finding the fourth derivative of 6 common functions (without using the chain rule). ⟐ The third worksheet is finding the first four derivatives of 8 composite functions using the chain rule. The worksheets can be used in class for group work or an independent practice, for enrichment, an assessment or homework assignment. Detailed typed answer keys are provided.