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 astronaut themed 5 levels practice on multiplying a polynomial by a monomial. The problem pages/slides are five as the first page/slide are first level problems, the second page/slide are 2nd level problems, etc. Each page/slide contains 5 problems. Students have to multiply, then write in standard form and then classify the obtained polynomials. There are empty boxes provided where students can 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 resource contains total of 86 well thought out practice problems on rational functions. Students will determine the characteristics of the rational functions – domain, range, holes, x – and y- intercepts, vertical, horizontal and slant asymptotes. There are eight practice worksheets from A to H where the problems are grouped/classified by topic. ◈ WS A - finding the domain ( 12 problems) ◈ WS B – finding the range ( 10 problems) ◈ WS C - finding the x – intercepts (12 problems) ◈ WS D – finding the y- intercepts ( 12 problems) ◈WS E – finding the vertical asymptotes ( 10 problems) ◈ WS F – finding the horizontal asymptote (12 problems) ◈ WS G – finding the slant (oblique) asymptote (8 problems) ◈ WS H – determining the holes (10 problems) This product can be used as in-class practice, an independent practice or group activity. It can be also used as an assessment or homework. Typed answer keys are included.

This is a fun matching activity for students to practice finding the inverse of 2x2 and 3x3 matrices. The inverse of matrix can be found using a formula (for 2x2 matrices), the augmented matrix method and/or the adjoint method ( for 2x2 and 3x3 matrices). The teacher has to decide if students will be permitted to use calculators. There are 8 questions - four 2 x 2 matrices and four 3 x 3 matrices. (All matrices selected have inverses.) Students calculate the inverse of each matrix going with a picture of a boy named. Then they look for their answers in a given table with pictures of girls’ faces and their names and find out who is the girlfriend of each of the boys. If students cut the cells of the tables, they can match the matrices and their solutions. The activity can be used individually or in pairs. Student recording sheets and 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.

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 is a collaborative group activity (for groups of 2,3 and/or 4 members) on factoring difference of squares. It consists of 12 sections as in each section there are 4 similar problems - one problem for each of the partners. Problems gradually increase in difficulty with each subsequent section. Problem types include: difference of squares of monomials ( Level 1) difference of square of monomial and square of binomial (Level 2) difference of square of binomial and square of monomial (Level 2) difference of square of binomials (Level 3) This activity may be turned into a competition between groups . In each section it is given the certain number of points that each problem solved correctly offers. The number of points are directly proportional to the difficulty level of the problem. I hope the practice sheets provide enough room for students to show work. Answer keys are included.

In this partner activity, students will practice composition of two functions. The composite functions are notated two different ways: f(g(x)) and (f o g)(x). There are included linear, quadratic, rational, radical, absolute value, trigonometric and exponential functions. There are 10 sections as in each section partners are given two functions. In section 1, Partner A has to find f(g(x)) and Partner B has to find g(f(x)). In section 2 Partner A has to find g(f(x)) and Partner B – f(g(x)). In section 3, Partner A again has to find f(g(x)) and Partner B – g(f(x)) and so on. Students find out that in each section they get quite different results and understand that it is important to be careful which function comes first. The practice sheet give room for students to show work. Answer keys are included.

These are two pets and kids with pets themed mazes on factoring quadratic trinomials when a=1 (maze 1) and when a>1 (maze 2). Students start solving and use each answer to navigate through the maze. Students will need to solve 13 problems properly to complete the maze. Students can draw a colored line to display their answer path. There are included two pages/slides with empty boxes provided where students can write to show all their work! Answer keys and solutions are included. NOTE: This product is created as a Google Slides product. **I have converted it to PDF item here. **

This is an endangered and extinct mammals themed maze on factoring perfect square trinomials. Students start solving and use each answer to navigate through the maze. Students will need to solve 12 problems properly to complete the maze. Students can draw a red/ colored line to display their answer path. There is included a page/slide where students can record their solutions in a table. Answer key is included. NOTE: This product is created as a Google Slides product. **I have converted it to PDF item here. **

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 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.

These are two mazes - the one is red panda themed and is on finding the distance between two points and the other is Australian animals themed and is on finding the midpoint of a segment. Students start solving and use each answer to navigate through the maze. They can draw a line/curve to display their answer path. Answer keys are included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.

This is an engaging and collaborative partner activity on Pascal’s triangle and the Binomial Theorem. It consists of 9 sections. In the first section partners have to generate consecutive rows of the Pascal’s triangle. In the second section each partner has to evaluate three binomial coefficients (here it is used two different notations of the coefficients). Partners are asked to compare their results to see that they have obtained the same answers of their corresponding examples. Section three : each partner is given three problems – it is to determine which is the nth element of the mth row of Pascal’s triangle. Partners compare their results and see that again they have gotten the same answers. Section four: partners have to determine how many terms there are in the expansions of given binomials. Each partner has three problems to solve. Section five: each partner has to find the coefficient of the middle term in the expansion of a given binomial. Section six: each partner will expand completely four binomials. The problems of the partners are similar. In sections seven, eight and nine partners are given one and the same binomial. In section seven, partner A has to determine the coefficient of x and partner B – the coefficient of x^3 in the expansion on the binomial. In the last two sections each partner has to find the nth term of the expansion of the given binomial. This activity can turn into competitions between groups of two. The resource can be also used as two different forms ( A and B) of independent practice, homework and even as an assessment. (I have included modified pages so that the product to be also used as an independent practice, homework or as an assessment). Answer keys are included.

In this autumn alphabet themed activity students will distribute and combine like terms in order to simplify expressions. In each slide students are given three expressions. They have to simplify each of the expressions and determine which two of them are equivalent. Students can work independently or in groups of three. 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 three slides on a page for easy and more economic printing!

This is a sleepy sloths themed maze on finding the vertex of a quadratic function given the standard form of the quadratic function. Students start solving and use each answer to navigate through the maze. Students will need to solve 13 problems properly to complete the maze. Students can draw a line/curve to display their answer path. It would be nice if students show work on this activity. Answer keys are included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.

This is an engaging activity on exploring quadratic functions. On each slide/page students are given a quadratic function in standard form and six statements concerning its characteristics (vertex, axis of symmetry, x-and y-intercepts, range, intervals of increase or decrease, value of the minimum or maximum). Each statement is written in a cell of a table where there are also given two options/buttons “True” and “False”. Students are asked to determine which of the statements are true and which are false and then to strike through the incorrect buttons or choose/mark the correct buttons/options. The slides/pages with problems are 8 (8 quadratic functions to be explored). This activity can be used as an independent practice, extra practice, homework assignment. 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 and three slides on a page for easy and more economic printing!

This is an engaging and collaborative partner activity on simplifying trigonometric expressions. Students will practice using Pythagorean, quotient and reciprocal trig identities. Each partner is given 11 expressions. The partners’ corresponding problems are very similar so partners can discuss which method to use and help each other simplifying the expressions. Students compare their answers and see that these answers are very similar too like their problems. This product can be also used as independent practice with two different forms A and B. Students can simplify the expressions of A form in class and to have the problems of B form as a homework assignment. 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 three slides on a page for easy and more economic printing!

In this matching activity, students will practice simplifying 15 trigonometric expressions using fundamental trigonometric identities such as Pythagorean identities, quotient identities and reciprocal identities. In each slide/page (the pages/slides with problems are 3) students are given 5 expressions to simplify and 6 answer choices. There is an empty text box next to each answer choice so students can record the letter of the problem next to its answer. Answer keys 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 20 problems. Students will practice differentiation using the chain rule. The composite functions include polynomials, rational, radicals, trig and inverse trig, exponential and logarithmic expressions. The packet has 2 worksheets of 10 derivative problems. The worksheets can be possibly used as two different forms for partner activity like that: ⟡ Partner A will solve WS # 1 while Partner B solves WS # 2, then they swap papers and Partner A will solve WS # 2 while Partner B solves WS # 1. Once they have completed the work, they compare their results. If there are different answers to one and the same problem, students have to identify and correct any errors. The worksheets can be also used for an extra practice or enrichment, an assessment or homework assignment. If you download this product, please take a moment to leave your comments. I LOVE hearing from you ❣❣❣