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 party animals themed 5 levels practice on applying the distributive property of multiplication. Each page/slide contains 7 problems of one and the same level. The first page/slide are problems of level 1, the 2nd page/slide are problems of level 2 and etc. Each page/slide contains 7 problems. Students can type their answers in the tables provided on each page/slide. Detailed description of the problems: 1 level are expressions of type a(x+b), where and a and b are positive integers; 2 level are expressions of type a(±x+c), where a and/or c can be negative integers; 3 level are expressions of type a(bx+c), where a, b and c can be positive or negative integers; 4 level are expressions of type a(bx+c) where a, b or c can be decimals; 5 level are expressions of type a(bx+c) where a is a fraction and b and c are integers. Answer key is included. This resource can be used individually or students can work in pairs. The practice can be given as homework as well. 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 practice/homework on multiplying matrices contaning 10 tasks (19 problems). Here is a description of the tasks included: Task 1. Students have to find the sum of indicated elements for the product AB given the matrices A and B. (5 related problems) Task 2 is finding the product A^t B where A^t is the transpose of the matrix A. Task 3. Given matrices A and B. Students have to calculate f(A) and f(B) which are quadratic functions of A and respectively of B. A is 2x2 and B is 3x3 (2 problems) Task 4. Given three matrices A, B and C. Students have to check whether AB=AC Tasks 5,6,7 is proving that two matrices are commuting. In taks 5 the matrices are 2x2, in task 6 - 3x3 and in task 7 the matrices are 4x4. Task 8 is computing the difference AB-BA given the matrices A and B (two problems) Task 9 is finding the product AB where A and B are 4x4. The answer will be suprisingly nice. Task 10. Given four matrices. Students have to compute the products ABC,CAB,BAD and DBA. (four problems) Students will need to use separate sheets of papers to show work. This resource can be used as homework, as class/extra/independent practice too however it should be taken into account that it will take more time as the problems are many and some are challenging. Answer key is included.

In this 12 questions - partner activity, students will solve systems of linear equations with three variables. The problems are adaptable to all methods ( elimination, substitution, Gaussian elimination, Cramer’s Rule) so the teacher or students can choose the methods they will use. All systems have one and only one solution ( All systems are consistent and their equations are independent)! The answer of each of Partner’s A problems are the same as the answer of each Partner’s B corresponding problem. (Problems A1 and B1 are corresponding, so as problems A2 and B2 and so on). Students are instructed to check whether their results match. If their answers don’t match, they work together to figure out what went wrong. Student recording sheets and 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.

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 partner activity on dividing polynomials using long division. Dividends are polynomials of third, forth, fifth and sixth degree and divisors are binomials and trinomials of first, second and third degree. This activity takes each partner through 12 problems (12 sections). Partners corresponding problems are similar (problem 1A is similar to problem 1B, problems 2A is similar to problem 2B and etc). Students must get the same quotient and different remainders. They record their answers on partners’ response sheet. A recording sheet is also provided. Answer keys are included.

This trigonometry practice consists of 12 problems (12 given diagrams) in which students will practice finding missing side and angle measures in right triangles using the sine, cosine, and tangent ratios. The problems are divided into four groups of three (four cases). In the first group of problems students need to find the opposite side in the right triangle. The second group of problems is finding the adjacent side. The third case is finding the hypotenuse. And the four case is finding the measure of a missing angle. Practice sheets give enough room for students to show work. Answer keys are included.

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. **

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 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 coloring activity provides students with 12 problems. Students will compose functions as the functions included are polynomial, radical and rational. Students are given f(x) and g(x) and have to find f(g(x)) or g(f(x)). After solving a problem, the students find their answer in a table. This tells them what color to use in the coloring page. Students are asked to show work on a recording sheet provided. Answer key is included.

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 ❣❣❣