This is a rainy kids themed practice or partner activity on operations with complex numbers. The problem pages/slides are five, as on each page/slide there are given nine complex numbers from z1 to z9. On page/slide 1 students have to find 10 wanted sums which are like z1+z5; z4+z9; z1+z2+z3;…, on page/slide 2 students calculate wanted differences which are like z8-z3; z2-z3-z6;…on page/slide 3 students are asked to compute 10 products, on page/slide 4 students have to find 10 quotients. On page/slide 5 students perform the indicated operations which are mixed operations like z8+z1/z2; z4z8-z7;…etc. There is provided a table with empty boxes on each page/slide where students can type their answers. As the problems are many (50) this practice can be used as partner activity (even group activity) or like independent practice along with homework (students can solve some of the problems in class and the rest problems can be done as homework). 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 a total of 48 practice problems on Pythagorean theorem. The problems are classified into 4 categories as follows: A. Problems on finding the hypotenuse ( 8 problems with given figures and 6 text problems) B. Problems on finding the missing leg (7 problems with given figures and 6 text problems) C. Problems on finding the missing side (it could be the hypotenuse or a leg of the triangle) ( 6 problems with given figures) D. Problems using the Inverse of Pythagorean theorem – determining whether given dimensions belong to a right triangle (given 12 triples of numbers and 3 problems with given figures/triangles) The practice sheets give room for students to show work. Answer keys are included.

These are 50 practice problems on complex numbers in polar form. The problems are grouped by topic ❆ finding the polar form of a complex number (practice sheet A, 15 problems) ❆ converting complex numbers from polar to rectangular form (practice sheet B, 10 problems) ❆ finding the product of two complex numbers in polar form ( practice sheet C, 5 problems) ❆ finding the quotient of two complex numbers in polar form (practice sheet D, 5 problems) ❆ finding powers of complex numbers in polar form using DeMoivre’s Theorem (practice sheet E, 5 problems) ❆ finding roots of complex numbers in polar form (practice sheet F, 10 problems) I hope the practice sheets give enough room for students to show work. This resource can be used as an independent/extra practice, enrichment, review, homework assignment or even as an assessment. Answer keys are included.

In this packet you will find 22 practice problems students can use to practice finding the area between curves. Students need to analyze the problems, find the points where the curves intersect (in 8 of the problems), sketch the graph, setup the integral necessary to find the area and to integrate to find the area. The integration involved is basic and using u- substitution. One example requires trig substitution and else one example requires finding a suitable substitution to be solved.There are five problems with trig functions.There is one problem where students will have to divide the problem into two integrals. All examples are with vertical strips. The product is useful for independent/extra practice and homework assignment. Detailed typed answer keys are included.

Students will practice the chain rule with this fun multiple-choice game. On each page/slide there are given a picture of a horse, a function that students have to differentiate and four answer choices. Name of horse breed corresponds to each answer choice. Students solve the problem and choosing an answer they find out what horse breed is this one on the picture. The problem pages/slides are 12. The functions included are polynomial, rational, radical, exponential, logarithmic, trigonometric and inverse trigonometric. 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 is a fun and engaging multiple-choice game on multiplying radicals. There are 10 pages/slides with problems as each page/slide contains two similar problems. Each problem is labeled with a large alphabet letter written on a picture of a mother penguin. Students are given four answer choices labeled with the small letters a,b,c and d each written on the picture of a baby penguin. Students solve a problem, choose an answer and write the letter of the baby penguin to its mother matching the problem with its answer. The problems increase in difficulty with each next page/slide. On the first four pages/slides students multiply two radicals, in page/slide 5 they multiply three terms, in pages/slides 6, 7 and 8 students will need to use the distributive property and FOIL and in pages/slides 9 and 10 students multiply radicals with variables in the radicands. This activity can be used as an independent practice and partner activity. If students work in pairs student A will solve the first problem of a page/slide and student B will solve the second problem of the same page/slide and because they have similar problems students can help each other with methods. The answer key is contained at the end of this document. 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 50 trigonometric expressions with their detailed typed solutions. The problems are separated into five groups/quizzes. EACH GROUP of expressions REQUIRES APPLYING OF SPECIFIED IDENTITIES to be simplified as follows: • The fundamental Pythagorean identity • Quotient identities • Reciprocal identities • Pythagorean identities • Co-function identities The problems have varying degrees of difficulty. The product can be divided into parts and used in a variety of ways: 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.

These are three practice worksheets on Parametric Equations and Parametric Curves. Students will work on ✦ eliminating the parameter, writing the parametric equation as a rectangular equation and identifying the graph of the parametric curve ( WS # 1, 14 problems) ✦ finding parametric equations (writing two new sets of parametric equations for given rectangular equations) ( WS # 2, 8 problems) ✦ graphing parametric curves (sketching the parametric curve for given pair of parametric equations and giving the orientation of the curve) (WS # 3, 12 problems) Functions involved are polynomial, absolute value, rational, radical, exponential, logarithmic and trigonometric. I hope that the practice worksheets give your students enough room to show their work. This resource can be possibly used as an independent /extra practice, as an enrichment, homework assignment and even as an assessment. Detailed answer keys ( handwritten clearly) are included.

This is a resource on arithmetic sequences having 14 practice pages and containing a total of 70 problems arranged by topic/type and difficulty level. 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 difference (Level 1) the number of terms (Level 1) the first term and the common difference 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 nth term and Sn (Level 1) the first term 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 d - the nth term and d n and nth term the first term and d 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.

This is a collaborative partner activity on graphing quadratic functions. Students will work through six sections as in each section partners have to graph two quadratic functions f(x) and g(x) on the same coordinate plane. Partner A will graph f(x) and partner B will graph the other function g(x). Students are also asked to solve the equation f(x)=g(x). Included are three cases: The graphs don’t have points in common and respectively the equation f(x)=g(x) doesn’t have real solutions (section 1 and section 4) The graphs share one common point and respectively the equation f(x)=g(x) has one real solution (sections 2 and 5) The graphs have two common points and respectively the equation f(x)=g(x) has two real solutions (sections 3 and 6) This activity can be used as independent practice as well. The practice sheets give enough room for students to show work. Grids are provided. Detailed answer keys are included. (The graphs are drawn by CorelDraw.)

This is an engaging practice on rational expressions containing 41 problems that vary in difficulty. On page/slide 1 students have to evaluate three rational expressions for the given value of the variable and then to determine the domain of six rational expressions/functions. On page/slide 2 students are given 8 rational expressions to simplify them. On page/slide 3 students add or subtract rational expressions (8 problems), on page/slide 4 students multiply or divide rational expressions ( 8 problems) . On page/slide 5 students simplify more complicated rational expressions performing the indicated operations (4 problems) and at the end students have to prove four statements ( rational equalities). Students are provided empty spaces/boxes where to record their answers. 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 classwork or practice on operations with complex numbers containing a total of 46 challenging examples. The problems are grouped by the following topics: adding complex numbers (12 examples) subtracting complex numbers (12 examples) multiplying complex numbers (12 examples) dividing complex numbers (10 problems) I have also included an engaging homework assignment containing 18 problems. The product can be used as a classwork, independent practice, practice after teaching a lesson on operations with complex numbers, homework assignment and an assessment. Practice sheets give room for students to show work. All answer keys are included.

This is an engaging and fun multiple-choice game on operations with complex numbers (adding, subtracting, multiplying, dividing, raising i to a power). On each page/slide students are given two similar problems. The problems are labeled with large Latin letters written on the pictures of teddy bears. There are four optional answers for each problem labeled with the small Latin letters a,b,c and d written on the pictures of heart shaped balloons. Students solve a problem, select an answer choice and draw the balloon with the chosen answer to the teddy bear (match each problem with its answer). This activity can be completed individually or students can work in pairs (partner activity). It can be used as St. Valentine’s Day activity as well. The 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 slides on a page for easy and more economic printing!

This engaging practice allows students to explore and graph square and cube root radical functions. It contains 40 various and challenging problems. Students will have to ✤ identify the domain of given radical functions (4 problems) ✤ determine the range of functions (4 problems) ✤ find x- and y- intercepts of given function (4 problems) ✤ determine which of given points are on the graph of a given function (1 problem) ✤ find zeros of radical functions (4 problems) ✤ evaluate radical functions for given values of the variable (2 problems) ✤ find the point of intersection between two radical functions (4 problems) ✤ determine the value of a parameter given a radical function involving the parameter and passing through a given point (1 problem) ✤ find the inverse of 5 radical and 3 polynomial functions (8 problems) ✤ sketch the graph of given radical functions ( 8 problems) I hope the practice sheets give enough room for student to show work. Grids are provided. The product is useful for independent/extra practice, enrichment, review, homework assignment and assessment. Answer keys are included. (The graphs are drawn with CorelDraw!)

This product includes 24 integration problems to be solved by u-substitution. Your students can work alone, in pairs, or small groups to complete the problems placed on 12 cards ( there are 2 problems on each card – one indefinite and one definite integral to be evaluated as both integrals have the same integrand). Students recording sheets are provided and created as worksheets so the product can be used for cooperative learning, extra practice, homework assignment or even as an assessment. Typed solutions (appropriate for teachers!) are provided.

This product is designed for students to practice integration using the methods of partial fractions and long division. It includes 16 sections each consisting of three related problems. In each section, students are instructed (a) first to use long division to write an improper rational expression as a sum of a polynomial and a proper fraction or/and to express a proper fraction as a sum of partial fractions (b) then to find the indefinite integral whose integrand is the function given in (a) © and at last to evaluate a definite integral having the same integrand as the integrand of the integral given in (b). The first eight sections contain problems that require using of partial fraction decomposition only. The next four sections include problems that require using long division only and in the last four sections students need to use both methods of integration in combination. ◈ One of the examples require using a substitution to be integrated by partial fraction decomposition. The problems include linear factors, quadratics, repeated factors, cubics, and quartics. Full solutions are provided.

This is a collaborative activity to practice evaluating indefinite integrals by using their BASIC properties and the table of common integrals. Partners work through 20 sections 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 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 work. If extra practice is needed Partner A and Partner B can change places with each other and continue solving. Applying both integrating and differentiating help students gain a better understanding of integration. I hope it will be beneficial for your calculus students. Answer keys and full solutions (typed and handwritten clearly) are included.

This is a set of three mazes (three versions) to practice solving improper integrals. Students are given 24 integrals. They will need to determine whether some of these integrals are divergent or convergent. If some integral diverges it must be evaluated. Then students 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. For extra practice, students can solve all the problems and find out how many of the improper integrals are divergent. (There are 30 different improper integrals in this activity total and 9 of them diverge). Answer keys are included.

This resource contains 20 practice problems (20 functions given) for classifying critical points of a function. Functions included are polynomials, rational, including radicals (square and higher-index roots), exponential, logarithmic, trigonometric and inverse trigonometric. To solve each problem students will need to find critical numbers determine the intervals on which the function increases and decreases apply the First Derivative Test to classify the critical points as relative maximums, relative minimums or neither (locate relative extrema of a function). The product can be used as in class practice, an independent practice, partner activity, for group work, as enrichment. Detailed and typed answer keys are provided.

These are 50 practice problems of various difficulty on converting polar and rectangular equations. Problems A1- A25 require students convert rectangular equations to polar equations (Practice A). Problems B1-B25 require students convert polar equations to rectangular equations (Practice B). I hope that the practice worksheets give your students enough room to show their work. This resource can be possibly used as an independent /extra practice, as an enrichment and homework assignment. Typed detailed answer keys/solutions are provided.