These are 14 Algebra 2/Pre Calculus warm-ups, do-nows, bell-ringers, entrance/exit tickets or mini-quizzes/mini homework. Each of them is a half-sheet in size and contains from 4 to 9 problems. Topics included: Domain and Range of Rational Functions Holes of Rational Functions X- and Y-Intercepts of Rational Functions Asymptotes of Rational Functions Graphs of Rational Functions (two warm-ups) Simplifying Rational Expressions Adding and Subtracting Rational Expressions Multiplying and Dividing Rational Expressions Operations with Rational Expressions Complex Fractions Rational Equations (Solving by Using Cross Multiplication) Rational Equations Rational Inequalities Answer keys are included.

These are 12 Algebra 2/Pre Calculus warm-ups, do-nows, bell-ringers, entrance/exit tickets or mini-quizzes/mini homework. Each of them is a half-sheet in size and contains from 4 to 10 problems. Topics included: Radical Functions (Domain, Range and Zeros) Radical Functions (X- and Y- Intercepts and Inverse Functions) Graphing Radical Functions Radical Equations with One Radical Radical Equations with Two Radicals Solving Radical Equations Using a Substitution (Advanced Topic) Radical Operations with Higher Indexes Simplifying Nth Root with Variables Cube Root Equations Radical Equations with Higher Indexes Rational Exponents Equations with Rational Exponents Answer keys are included.

Students will review and practice the short multiplication formulas with this engaging circus animals themed activity. On each page/slide students use the indicated short multiplication formula to simplify six expressions (page/slide 1 problems use the square of a sum formula, page/slide 2 problems use the square of a difference formula, page/slide 3 - product of the sum and difference of two terms, page/slide 4 - cube of a sum, page/slide 5 - cube of a difference, page/slide 6 - sum of cubes and page/slide 7 - difference of cubes formula). This activity can be completed independenlty (some of the problems can be solved as classwork and the rest - as homework) or as the problems are many and challenging it will be great if students can work in groups. Students can type their answers in the empty boxes of tables 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 two or three slides on a page for easy and more economic printing!

This product contains 40 trigonometric expressions with their detailed SOLUTIONS. The problems are separated into five groups/quizzes. EACH GROUP OF PROBLEMS REQUIRES APPLYING OF SPECIFIED IDENTITIES TO BE SOLVED as follows: • Double - Angle Identities • Half - Angle Identities • Angle – Sum and - Difference Identities • Sum Identities • Product Identities The problems have varying degrees of difficulty. The product can be divided into parts and used in a variety of ways to aid learners in reasoning and increase their ability to simplify trigonometric expressions: in class practice(teacher can show the solutions to some of the examples to assist students in completing the rest successfully) as partner activity or group activity (students can assist one another throughout simplifying the expressions) an assessment or homework Student recording sheets are provided and full solutions to the problems as well.

This is a set of two trigonometry mazes to practice proving and disproving trigonometric identities using the fundamental trigonometric identities ( Pythagorean, reciprocal, quotient identities). Students are given 24 statements. They will need to determine whether some of these statements are true or false, prove or disprove them and use their answers to navigate through the maze. Not all boxes are used in this maze to prevent students from just guessing the correct route. Recording sheets are provided for students to show all work. Answer keys and FULL SOLUTIONS to the problems are included. This maze could be used as: a way to check for understanding, a review, cooperative learning, homework, individual practice, partner activity, before a quiz on the topic, and more.

This activity practices finding 16 derivatives using the chain rule. Composite functions include polynomials, rational fractions, radicals, trig and inverse trig expressions, exponential expressions and natural logarithmic functions. Students have to solve 8 complicated problems - examples of 8 functions where each function is expressed as the sum of two composite functions. Students will need to use linear combination rule to find the derivatives of these 8 functions. Thus, they will solve coupled problems consisting of two sub – problems (practice 2 in 1) in three steps. This can be used as a class practice/independent practice in 2 steps or as a partner activity (Partner A will find the derivative of one addend of the function while Partner B computes the derivative of the other addend, then partners will sum their derivatives to find the answer of the problem). These worksheets can be also used for enrichment or homework. Typed solutions to problems are provided.

Students will practice condensing logarithms with this multiple-choice game. On each page there are two problems each in a table. In the table there are given a picture of a parrot, a logarithmic expression that students have to condense and four answer choices. Name of parrot species corresponds to each answer choice. If students solve the problem correctly they will find out what parrot species is this one on the picture. The problem are 12 and vary in difficulty. The distractors are well thought. Answer key is provided.

This activity practices solving quadratic equations with complex solutions. There are included quadratics in standard and vertex form, though most of the equations have terms on both sides. Students will need to simplify polynomial expressions. They are asked to solve the equations by the most appropriate method ( by completing the square or using the quadratic formula ). Activity Directions: Students solve 12 quadratic equations. They 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 equations right. There are included 3 different versions so the product can be used as a partner activity or for groups of 3. The resource also works well as independent practice. Answer keys are included.

These are 12 Thanksgiving task cards for partners – a total of 48 problems in which students will practice solving exponential and logarithmic equations. There are one exponential (equation A) and one logarithmic equation(equation B) on each card. The equations involve a parameter. Students are asked to solve each of the equations A and B for two given different values of the parameter. Thus, students have four problems per card – problems Aa, Ab, Ba and Bb. Students can work in pairs (partner activity) or in groups of three and four (group activity). The equations require the use of logarithms and exponentials as inverses. Exponential equations include problems that can be solved using a common base along with problems that require logarithms (a^x=b and a^(cx +d) = b, where a=b or/and a≠b). Common base problems require combining exponents using laws of exponents. Logarithmic equations include basic logarithmic equations ( log (base a) x = b and log (base a) (cx+d)=b ) and some problems in which students must apply the properties of logarithms (adding and subtracting logarithms). The cards can be used individually as well. The teacher or student can choose which problems to be solved – like problems 1Aa, 2Ba, 3Ab, 4Bb, etc. Student recording sheets and full solutions (handwritten clearly) are included.

In this fun multiple- choice activity students will practice simplifying rational expressions. There are 10 cards each containing one problem with four optional answers. A picture of an owl is given on each card and the name of owl species corresponds to each optional answer. Students solve the problem on a card and use the obtained answer to find out what species is the owl on the picture. Students are provided a recording sheet where to show their work. Answer key is included.

This is an engaging and fun multiple-choice game on trigonometric identities. It consists of 12 problem pages/slides. On each page/slide there is given a trigonometric expression, four answer choices (trig expressions A,B,C and D) as to which correspond the name of breed of rabbit, it is also given a picture of a rabbit. If students determine correctly to which of the fourth expressions in A, B, C and D is equal the given trig expression they will find out what breed is the rabbit on the picture. Students can circle the right answer or record their answers on a separate sheet of paper, they can also show their work on separate sheets of paper. Students need to know Pythagorean identities Quotient identities Co-function identities Reciprocal identities and how to use them in simplifying trig expressions to complete this activity. 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 three slides on a page for easy and more economic printing!

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.

These are two different, but similar forms of independent practice on solving systems of nonlinear equations. Each form contains three systems of quadratic and linear equations ( having respectively two solutions, only one solution and no real solutions) three systems of two quadratic functions ( having two solutions, only one solution and no real solutions) I have created worksheets for students to solve the systems only algebraically and worksheets to solve the same problems only graphically. Each problem has enough space for students to show work. Students are provided with coordinates grids where each axis is labeled using an appropriate scale as dictated by the problem so sketching to become easier. The systems can be solved both algebraically and graphically as well. It is depending on what the teacher decides. This product can be used as in-class practice, an independent practice, partner activity or group activity (groups of two). It can be also used as an assessment or homework. Typed solutions are included. All the graphs are drawn in CorelDRAW. *I have also included cards with the problems and cards with the graphs so this can be also used as a matching activity.

These are 15 review task cards on solving indefinite integrals. The problems include u-substitution, integration by parts, integration using different substitutions, integration of rational and irrational functions. Students are provided hints for each problem to guide them to the correct solution. Students have to show work on the recording sheets provided. Typed answer keys and solutions hand written clearly are included.

This is a engaging practice on solving problems on parallel lines cut by a transversal. There are 9 slides of problems with given diagrams as there are three problems per slide. The first nine problems (1-9) are two parallel lines given cut by a transversal. Students have to make an equation and solve it for the variable x and find the measures of angles alpha and vita. The next six problems (10-15) are finding the measures of two pairs of four congruent angles given a relation (an equality) between the angles. The problems from 16 to 21 are two parallel lines given cut by two transversal as they form a triangle. Students have to find the variable x and the angles of the triangle formed. Problems from 22 to 24 are parallel lines cut by two transversals as they form a quadrilateral. Students have to find measures of angles x,y and z. And the last three problems (25-27) are parallel lines cut by two transversals as one of the lines is a bisector. Students have to find the measure of angle alpha. The resource can be used as independent practice or group activity, extra practice, enrichment and homework assignment. Students are provided with a table where they can record their answers. Answer keys are contained at the end of this document.

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 an engaging rainy girls themed group activity (groups of three) or independent practice on solving systems of linear equations (2 equations and 2 variables). Problems pages/slides are four as each slide contains 9 systems/problems. On each page/slide "the girl asks"the systems to be solved and else one specific question. On page/slide 1 “the girl asks” which of the systems given have the same solution. On page/slide 2 “the girl asks” which of the systems have no solution and whether students can determine this without solving the systems. On page/slide 3 “the girl asks” which of the systems have infinite many solutions and whether it can be determined without solving the systems. And on page/slide 4 “the girl asks” which of the systems have the only one solution and again if this can be determined without solving the systems. There are empty boxes provided where students can record their answers. This product can be used as engaging group activity if the students will solve all the systems given on the pages/slides or as independent practice if student will solve only the systems on page/slide 1 and will use another methods to answer the questions on the next 2nd, 3th and 4th pages/slides. 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 and four slides on a page for easy and more economic printing!

This activity practices finding derivatives (a total of 12 various examples) using the chain rule. Functions include polynomials, radicals, trig and inverse trig functions, exponential functions and natural logarithms. Activity Directions: Students have to compute 12 derivatives. They are asked to use a table given to find the mathematician’s name corresponding to each of their answers. (To facilitate students all the answers correct and incorrect are labeled with big Latin letters and are contained in another table.) If students find all the derivatives correctly, they will learn 12 names of mathematicians involved in calculus. This activity can be used as a class practice. (Students could compete to see who can get all or most names first). It can be also used for groups of 2 (each partner will solve 6 problems) or independent activity. Solutions (handwritten clearly) to the problems are provided.

This activity is created for your students to practice their skills with more complicated trig integrals. It contains problems on indefinite integrals of product and ratio of sine and cosine involving powers of sine and cosine. In general, the integrals are of (sin(x))^n(cos(x))^m, where m and n are integers. Students will need to use trigonometric identities (Pythagorean, Power Reduction Identities, Double-Angle Identities), integration by u-substitution, integration by parts along with algebra skills to manipulate the integrands. There are 16 problems for them to complete with room to show work. Students аrе given the answer to each problem with missing coefficients they have to find and insert/fill in. This resource can be used for class work, independent or grouped, HW, enrichment, or an assessment. Answer keys are included.

This is a review activity on operations with polynomials - adding, subtracting, multiplying, dividing and mixed operations. On each page/slide there are given 6 polynomials (on the last slide are given eight) and 8 problems to be solved. (The given polynomials are labeled with large Latin letters). Page/Slide 1 is on adding polynomials, page/slide 2 - on subtracting, page/slide 3 - on multiplying polynomials, page/slide 4 - on dividing and page/slide 5 is on mixed operations with polynomials. Pages with tables where students can record their answers are provided. This activity contains a total of 40 problems and can be used not only as independent practice, but also as a group activity. Two or four members of a group can work on each page/slide as there are four or two problems for each partner to be solved. Answer keys are provided. 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!