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.

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.

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 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.

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 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 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 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!

In this fun multiple- choice activity students will practice solving exponential equations using natural logarithms. There are 13 pages/slides each containing one problem with four optional answers. A picture of a lizard is given on each slide and the name of lizard species corresponds to each optional answer. Students solve the problem on the slide and use the obtained answer to find out what species is the lizard on the picture. 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!

If you need engaging practice with various and challenging problems on cube root this one is like that. It consists of total 47 problems - 26 are evaluating numerical expressions with cube root, 15 problems are simplifying cube root expressions with and without variables, 4 problems are rationalizing the denominator and the last two problems are proving two equalities. Three student recording sheets are provided. Full typed solutions are included.

This resource contains a total of 40 compound inequalities. Students are asked to graph each inequality and write the solution set using inequality and interval notation. Problems are classified into 4 categories: ⟐ The first worksheets have the students solving 8 inequalities involving “AND” (Intersection) ⟐ The second worksheet is finding the solution sets of 8 DOUBLE inequalities (Intersection again) ⟐ The third worksheet contains 8 inequalities involving “OR”(Union). ⟐ The fourth and fifth worksheets are two similar forms each containing 8 MIXED inequalities. Special cases including overlapping solutions, no solution, and infinite solutions are included. I hope the practice sheets give enough room for students to show work. The product can be used in class for cooperative learning, as partner or group activity, independent/extra practice, as a review, homework assignment or even as an assessment. Typed answer keys are included.

This resource contains 56 questions. It focuses on solving polynomial equations in standard form by using factoring (GCF, grouping, factoring difference of squares, sum and difference of cubes, perfect square trinomials, quadratic trinomials) and synthetic division. The problems are classified into categories according to the problem solving technique and the types of roots of polynomial equations (only real or real, imaginary and complex). There are also included quartic equations in quadratic form. ⟐ The first and second worksheets(two different variants/forms) have the students solving by factoring polynomial equations only with real solutions. These two worksheets can be used as a partner activity. (total of 16 problems) ⟐ The third and forth worksheets (two different variants/forms) are finding the real, imaginary and complex solutions of polynomial equations by factoring. These two worksheets can be used as a partner activity. (total of 16 problems) ⟐ The fifth and sixth worksheets have the students solving by factoring quartic equations only with real solutions with real and imaginary roots (total of 12 problems) ⟐ The seventh and eighth worksheets have the student solving by synthetic division polynomial equations only with real roots having real, imaginary and complex solutions (total of 12 problems) Typed 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.

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.

These are 14 kids with numbers themed task cards on reviewing factoring techniques. Each card contains 4 problems of one type. Cards 1 and 2 are on factoring out the greatest common factor (problems group 1); Cards 3 and 4 are factoring using the difference of squares formula (problems group 2); Cards 5 and 6 are factoring perfect square trinomials (problems group 3); Cards 7 and 8 are factoring using the sum and difference of cubes formulas (problems group 4); Cards 9 and 10 are factoring by grouping (problems group 5); Cards 11 and 12 are on factoring quadratic trinomials (problems group 6); Cards 13 and 14 are on factoring using combined methods (problems group 7) Two pages/slides with tables are provided where students can record their answers. These cards can be used individually or students can work in groups of 2,3 and/or 4. Answer keys are included. NOTE: This product is created as a Google Slides product.** I have converted it to PDF item here. **

This is a collaborative activity to practice evaluating indefinite integrals by using Integration by Parts. It aims to develop and consolidate student’s skills in both integration and differentiation as well. Partners work through 16 sections (or less if preferred) each containing one integral. Activity Directions: A partner start solving an integral while the other partner is waiting for the answer to check it by differentiating. In the next section, partners take turns and it goes the same way. An alternative (saving time) way to use this activity: Partner A solves an integral of a section while Partner B solves an integral of the other (the next in line) section. Then they swap papers and differentiate the obtained functions to check each other’s answers. A purpose of this activity is to aid learners gain a better understanding of integration. I hope it will be helpful for your calculus students. Typed answer keys are included