This product is designed for practice after teaching a lesson on introduction to complex numbers. It contains a total of 51 challenging examples as the problems are grouped by the following topics: identifying the real and imaginary parts of a complex numbers (9 examples) identifying the conjugate (9 examples) simplifying expressions involving i^n where n is a whole number (15 examples) simplifying expressions involving radicals with negative radicands (6 examples) factoring quadratic binomials ax^2 + b, where a and b are whole numbers (6 examples) solving quadratic equations ax^2 + b= 0, where a and b are whole numbers (6 examples) I have also included a homework assignment containing 18 examples. The product can be used as a classwork, independent practice, and for practice after teaching a lesson on introduction to complex numbers, homework assignment and assessment. Practice sheets give room for students to show work. All answer keys are included.

Students will practice factoring the sum and difference of cubes with this forest dwarf themed four levels activity. The first page/slide contains 13 problems of level 1, the second page/slide -10 problems of level 2, the third page/slide - 9 problems of level 3 and the fourth page/slide contains 9 problems of level 4. As the problems are challenging and many students can work in groups of two or three to complete this activity. The teacher can decide which of the problems each member of the group will solve (the problems are labeled with large Latin letters). Students are provided with 4 tables (for each level one table) where they can record their answers. Four answer key pages/slides are included 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!

These are five Christmas themed review tickets each containing three types of problems - 4 problems on multiplying binomials (FOIL method) to obtain a quadratic trinomial, 4 problems on factoring trinomials (two with the leading coefficient equal to 1 and two with the leading coefficient different from 1) and 4 problems on solving quadratic equations by factoring. Students are provided with empty boxes on each ticket where to record their answers. (Students can show work on separate sheet of paper). Students can work independently or in groups to complete this activity. 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 an engaging partner activity on complex zeros of polynomials. There are 12 sections. In each section each partner is given a polynomial (partner A is given polynomial A, and partner B is given the polynomial B). Partners have to find all the zeros of polynomials and to determine the common zeros between polynomials A and B. There are included polynomials of 3th, 4th and 5th degrees. This activity can be used as an independent practice as well. Students will search for the common roots between each two given polynomials which I think is more fun than just finding the complex zeros of a series of “random” polynomials. 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 fun self-checking circuit activity on geometric mean in right triangle (including the altitude and leg rules) containing 14 problems. There are given the values of two elements in a problem as example given one leg and hypotenuse and students have to find the other four elements - the other leg, the projection of the legs on the hipotenuse and the altitude on the hypotenuse. Some of the problems are more challenging and require writing and solving a quadratic equation. There is provided enough space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are five) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Full typed solutions are included.

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.

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.

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.

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 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!

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.