This resource contains total of 32 problems. Students will practice solving polynomial inequalities algebraically. They are asked to write the solution sets using interval notation. Problems are classified into 2 categories according to the form of polynomials ( factored or standard) of 2 levels of difficulty for each category of polynomial inequalities. Examples include second, third and fourth - degree polynomials. ⟐ The first and second worksheets have the students solving a total of 16 inequalities in factored form ( level 1 & level 2). ⟐ The third worksheet is finding the solution sets of 8 inequalities in standard form ( level 1) ⟐ The fourth worksheet contains 8 inequalities where there are polynomials in expanded form on both sides (problems level 2) The product can be used in a variety of ways – in class for cooperative learning, as a partner or a group activity, independent practice or homework assignment. Answer keys are provided.

This is a fun and engaging activity on finding zeros of polynomials (real and complex). There are two problem pages/slides. On the first page/slide students are given 12 problems as each problem is “accompanied” by a riddle. On the second page/slide there are given the answers of the problems as each answer of a problem is “accompanied” by the answer of the riddle. 12 “false” answers are included to mislead the students if they try to guess the riddles without finding the zeros of polynomials. Students can draw numbered ovals (from 1 to 12) which to write on the answers they have chosen to be correct. Polynomials included are of 3th, 4th, 5th and 6th degree. I recommend students to show work! Answer key is included. NOTE: This product is created as a Google Slides product. **I have converted it to PDF item here. **

In this fun ghosts themed activity, students will practice finding a derivative at a point. The problems covers all the basic derivative rules, including power rule, product and quotient rules, chain rule, polynomial, rational, radical, trigonometric, inverse trigonometric, exponential, and logarithmic functions. Activity Directions: Student work through 12 problems (functions given). They choose a function to find the value of its first derivative at the given value of x. The solutions of all problems are written on twelve of 13 ghosts on a given picture. Every time students arrive at a correct answer, they will “cast out the ghost” having this answer written on it. Students are also asked to find the only one ghost who can NOT be cast out. The product can possibly be used as a partner or a group activity(group of 3). Student recording sheets are provided and an answer key.

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 activity is designed to be used for groups of 4 or 2 members. It practices solving radical equations, resulting in quadratics. The radical equations contain: quadratic function under a radical symbol a radical expression on one side of the equation and a number or/and linear function on the other side radical expressions on the both sides of the equations (“radical equals radical”) All the equations are set up to square both sides and require squaring once. Extraneous solutions are possible. This group activity focuses on matching cards to their matching mini – cards. Activity Directions: Partners are given two sets of different types radical equations (16 cards total). Each card contains two radical equations. Each member of a group chooses two or four cards of each set. The partners of a group look for their answers on 32 mini- cards given. They match each card to its two matching mini- cards. Students record their findings in tables on a group response sheet and show work on student recording sheets provided (solutions to the problems and verifying the solutions). This activity could be turned into competition between the groups. The first team that successfully completes all wins. Answer keys are included.

This is an engaging activity on approximating square roots. It consists of two parts/slides. On the first page/slide (Part 1 of this activity) students are given 16 double inequalities like a< empty<b where a and b are decimals (positive and negative). Students are also given 18 square roots (numbers) in a table. They are asked to fill in the gaps in the double inequalities so the inequalities to become true statements. On the second page/slide (Part 2 of this activity) students are given 20 radical expressions in a table to estimate rounding to nearest tenth. They are asked to record their approximations in the empty cells of the given table. The expressions are of the types a√b, a±b√c and (a±b√c)/d where a,b,c and d are integers. 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 slides on a page for easy and more economic printing!

This is an engaging frogs themed activity or 4 task cards/slides (5-9 problems per card/slide) on dividing radicals (square roots only). The pages/slides with problems are four (a total of 25 problems). On the first page/slide students are given 9 problems of the type (a√b)/(c√d), on the second page/slide students have to divide and simplify 6 radical expressions with two to three variables. On the third page/slide students are given 5 problems of the type (a√b±c√d)/m√n and on the fourth page/slide students have to simplify 5 radical expressions of the type like in page/slide three, but with variables (a,b,c,d,m and n are natural numbers). On the last page/slide students are given a table where the cells are labeled with the numbers of the problems like 1A,1B…,2A…3A…4A, 4B,…etc. Students are asked to record their answers in the table. (Problems 2D, 4B, 4C and 4D require rationalizing the denominator). This activity can be completed individually or students can work in pairs. 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 slides on a page for easy and more economic printing!

In this fun strawberry themed activity, students will operate with rational expressions (add, subtract, multiply, divide) and simplify rational expressions. Activity Directions: Students are asked to simplify 12 expressions. The equivalent to them expressions (the answers) are recorded on twelve of 13 strawberries on a given picture. Every time students arrive at a correct answer, they will “pick up the strawberry” having this answer written on it. Students are also asked to find the only one strawberry who can NOT be picked up. “It is the sweetest one”. The product can possibly be used as a partner or a group activity (groups of 2 or 3). Student recording sheets, answer keys and solutions are provided.

This resource contains a total of 49 problems. Students will apply the properties of logarithms to evaluate logarithms and logarithmic expressions. The packet has 5 worksheets: ⟐ The first worksheet has the students evaluating 15 logarithms without using a calculator. ⟐ The second worksheet is evaluating 15 logarithms with base 10 and base e without using a calculator. ⟐ The third worksheet has students evaluating 9 logarithms by using the change of base formula and a calculator. ⟐ The forth worksheet is evaluating 5 logarithmic expressions with same base. Calculators are not allowed. ⟐ The fifth worksheet is evaluating 5 logarithmic expressions with different base. Calculators are not allowed. The worksheets can be possibly used as partner or group activity, an extra practice and enrichment, an additional assessment or homework assignment. Full solutions (handwritten clearly) are provided.

In this 18 questions - matching game, students will solve absolute value equations of four types ▸ ∣ax + b∣ = c, c ≧0 ( eleven problems) ▸ ∣ax + b∣ = cx + d ( three problems) ▸ ∣ax + b∣ = ∣cx + d∣ ( two problems) ▸ m ∣ax + b∣ + n ∣± ax + b∣ = p ( the last two problems) Activity Directions: Students find the solution to each of the equations. The solution sets are written on 18 of 20 mushrooms. When students arrive at a correct answer, they “pick the mushroom” having this answer written on it. It is said that two mushrooms are “poisonous” – with an incorrect answers written on them . Students have to find them out. The activity can be used individually, in pairs or in groups of 3. Student recording sheets and answer keys are included.

Students will practice solving trigonometric equations by factoring with this quiz game. This includes multiple - choice questions with nine equations that require the use of Pythagorean, reciprocal, quotient and double angle identities. The focus is on finding both the general and specific solution of a trigonometric equation. Problems range in difficulty. At first, students solve all the problems. (After that they will need their answers to find out the configuration of a constellation). Students are also given a figure with shapes of a circle, called “stars”. Nine of them form the configuration of a constellation. These nine “stars” are labeled with the correct answers of students’ questions. Students connect the “stars” of the constellation with straight lines in a specified sequence. At last, they try to identify the constellation. Recording sheets are included for students to show work. An answer key is included as well. This activity can be used as individual practice or in a small group of three. It could also be used as an assessment .

This is an engaging card sort activity on quadratic functions. Students have 20 cards with a statement on each card concerning one of these characteristics: the domain the axis of symmetry the vertex the interval on increasing or interval of decreasing the range the maximum or minimum value the x- intercepts y- intercept the standard and vertex forms Students have to check whether the statement is true and chose the option ”TRUE” or the option “FALSE” for each card. Then students sort the cards. Students can work in pairs or individually. Student recording sheet and answer keys are included.

This is an engaging practice on adding and subtracting rational expressions (two and three addends) consisting of two problem pages/slides and containing five tasks. First task is addind and subtracting rational expressions (seven problems), the second task is evaluating rational expressions for given values of the variables (students have to perform adding or subtracting first), the third task is finding a rational expression so that a given statement to be true. The fourth task is determining which of given statements are true and which are false and the fifth task is proving that the values of two rational expressions do not depend on the values of the variables. There is included a page/slide with tables where students can record their answers.(Students can show work on separate sheet of paper). 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 practice on radical expressions. On the first page/slide students are given two tasks. The first task is finding the domain of 6 irrational expressions the second task is rationalizing the denominator of 8 expressions. On the second page/slide students have another two tasks. The third task is evaluating 4 radical expressions for given values of the variables and the fourth task is simplifying 4 radical expressions. Thus, students are provided with a total of 22 various and challenging problems. The product can be used as independent/extra practice and enrichment. The answer keys are 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.

This is an engaging scarecrow funny themed activity on operations on functions. Students are given 5 slides/pages to work on. Each slide/page contains 9 functions given in a table. Students type their answers in another table where are given 8 problems. 1 slide/page is adding functions, 2 slide/page is subtracting functions, 3 slide/page - multiplying functions, 4 slide/page - dividing functions and 5 slide/page are mixed operations. Functions included are linear, quadratic, cubic, rational, radical and exponential. (Students need to know how to perform operations with polynomials and rational expressions, rationalizing the denominator, dividing exponents, difference of squares formula, adding radicals to handle with the given problems). This activity can be completed individually or students can work in pairs/groups. 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!

This is a five levels kids with pets themed engaging practice on factoring by grouping. Students are given 5 pages/slides to work on as there are four different problems in the same level of difficulty on each page/slide. Page 1/Slide 1 are problems of level 1, page 2/slide 2 contains problems of level 2, etc, page 5/ slide 5 are the most challenging problems. There is an empty box provided below each problem where students to record their answer. (Students can show their work on separate sheet of paper). 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 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 fun Thanksgiving themed activity will help students review such topics as ♦ first, second and higher order derivatives ♦ intervals of increasing and decreasing ♦ critical points and local extrema The functions included are polynomial, rational, radical, trigonometric, inverse trigonometric, exponential, and logarithmic (common and composite functions). The problems covers all the basic derivative rules, including power rule, product and quotient rules and chain rule. Activity Directions: Students work through 15 problems. All the answers are written on 15 of 18 turkeys on a given picture. Every time students arrive at a correct answer, they will “get the turkey” having this answer written on it. Students are asked to find three happy turkeys who can NOT be caught. The product can be possibly used as a partner or a group activity (group of 3). Student recording sheets and the answer key are provided. I wish you very happy and blessed Thanksgiving!

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!