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 resource contains total of 16 problems. Students will practice solving absolute value inequalities. Problems of various difficulty are classified into 2 different types: ⟐ The first worksheet has the students solving 8 inequalities of type |ax+b|<c and |ax+b|<=c, where c>0. Students solve each inequality, graph its solutions and express the graph using interval notation. ⟐ The second worksheet is finding the solution sets of each of 8 absolute value inequalities of type |ax+b|>c and |ax+b|>=c, where c>0. Students are asked to solve each inequality, graph its solutions and express the graph using interval notation. The worksheets can be used in class for cooperative learning, for an extra independent practice, an assessment or homework assignment. It can be also used as a partner activity – like: ⟡ 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. Answer keys are included.

This is a fun mermaids themed matching activity on inverse functions. The problem slides/pages are four as there are four problems per each slide/page; on each slide/page students are also given the answers of the fourth problems. Students are asked to find the inverse function of each function given and then use the tool of curvilinear coupling to match each problem with its answer. On the first slide/page the given functions are linear, on the second slide/page the functions are polynomial (quadratic, qubic, quartic), on the third slide/page the given functions are radical (square root, cube root, 4th root) and on the fourth slide/page the functions are rational. There are 5 answer key slides. 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 four slides on a page for easy and more economic printing!

This is a fun multiple-choice game called “What Species of Turtle am I?” on inverse functions. On each slide/page students are given one function and are asked to find its inverse function. There is also a picture of a turtle, four answer choices and four names of turtle species corresponding to each optional answer. Students solve the problem and chose an answer, the answer will reveal to them what species is the turtle. The slides/pages with problems are seven. The functions included are quadratic, cubic, rational, radical (square and cube roots), exponential and trigonometric. 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 and three slides on a page for easy and more economic printing!

This is an engaging practice on proving trigonometric identities. Students will need to use Pythagorean, reciprocal and quotient identities to verify the given 10 identities on a total 5 slides/pages. Students are supposed to do the proof of each identity in their notebooks. The product can be used as an independent practice, extra practice, enrichment, homework assignment and even as an assessment. 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!

These are 4 forms practice on double and half angle identities. Each form contains 5 challenging problems. The first problem is finding the exact value of trigonometric function using half angle identities. The second problem is evaluating a trig function of double angle 2α given the value of trig function of angle α and in which quadrant lies the angle alpha. The third problem is finding the values of three trig functions of angle alpha, half alpha or double alpha given the value of one trig function and in which quadrant lies the angle alpha. The fourth problem is simplifying two expressions and the fifth problem is proving an identity. The product can be used as independent practice, extra practice, group activity (groups of 2,3 and/or 4), enrichment, homework, and as an assessment. 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 Christmas themed practice on finding the slope between two points. On each slide/page students are given two tasks. The first problem is determining the slope of the line that goes through given pair of points and the second problem is finding the value of x where there are given two points and x is a coordinate of one of the points as there is given the slope between these two points too. The slides/pages are 10 (a total of 20 problems). There are text boxes provided where students can record their solutions and answers in each slide. This product can be used as an independent practice or as a partner activity (working in pairs). 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 28 problems. Students will practice solving irrational or radical inequalities algebraically. They are asked to write the solution sets using interval notation. Problems of various difficulty are classified into 4 different types: ⟐ The first worksheet has the students solving 8 radical inequalities of type Radicand (Linear Function) > or < Constant , Radicand (Linear Function) >= or =< Constant ⟐ The second worksheet is finding the solution sets of each of 8 radical inequalities of type Radicand (Quadratic Function) > or < Constant, Radicand (Quadratic Function) >= or =< Constant ⟐ The third worksheet has the students solving 6 irrational inequalities of type Radicand (Linear Function) > or < Linear Function, Radicand (Linear Function) >= or =< Linear Function ⟐ The fourth worksheet contains 6 problems of type Radicand (Quadratic Function) > or < Quadratic Function, Radicand (Quadratic Function) >= or =< Quadratic Function The product can be used in class for cooperative learning, as a partner or group activity, independent practice, an assessment or homework assignment. Typed answer keys are provided.

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.

These are flowers themed task cards on solving quadratic inequalities in one variable. On each slide/page students are given three quadratic inequalities corresponding to three cases - D(discriminant) >0, D=0 and D<0. The slides/pages with problems are 5 (a total of 15 inequalities). This can be used as independent practice, extra practice, enrichment, 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 two or three slides on a page for easy and more economic printing!

This resource contains total of 36 problems. Students will practice solving quadratic inequalities with one variable algebraically. They are asked to write the solution sets using interval notation. Problems of various difficulty are classified into 3 different categories according to whether discriminant is positive, zero or negative. There is also included review problems (mixed inequalities where discriminant is positive, zero or negative). ⟐ The first worksheet has the students solving 8 quadratic inequalities. It’s given that D > 0. ⟐ The second worksheet is finding the solution sets of each of 10 quadratic inequalities. It is indicated that D = 0. ⟐ The third worksheet has the students solving 10 quadratic inequalities. Given that D < 0. ⟐ The fourth worksheet contains 8 review problems - mixed quadratic inequalities. Students have to determine whether discriminant is positive, zero or negative and solve the problems. The product can be used in class for cooperative learning , as a group activity or an independent practice, review, an assessment or homework assignment. Answer keys are included.

This is a challenging practice on solving rational inequalities. On each slide/page there are two inequalities as there are given two questions concerning each inequality. Students solve an inequality and answer the questions related to the inequality typing their answers in empty boxes provided. Questions are like these: “Which are the whole numbers that satisfy the inequality?”,“What is the smallest whole number that satisfies the inequality?”,“How many negative integers satisfy the inequality?” and similar. Students will be able to answer these two questions correctly only if they have solved the respective inequality correctly. The product can be used as independent and extra practice, enrichment and homework assignment. Students can also work in pairs with the slides (student A will solve the one inequality and answer the questions to it and student B will solve the other inequality and answer the other two questions). 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. 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 24 problems. Students will practice solving biquadratic inequalities algebraically. They are asked to write the solution sets using interval notation. Problems are classified into types according to the form of polynomials (factored or standard). ⟐ The first worksheet has the students solving a total of 8 inequalities in factored form. ⟐ The second worksheet is finding the solution sets of 8 inequalities in standard form. ⟐ The third worksheet contains 8 inequalities where there are polynomials in expanded and factored forms on both sides (problems level 2) Answer keys are NOT included.

This partner activity takes the student through solving rational inequalities of varying difficulty with all terms on the left side. The problems require answers on a number line and in interval notation. Some problems do require factoring. Activity Directions: Partners solve two inequalities in each section ( there are 12 sections). Then they are asked to find the intersection of the two solution sets. Students can determine the intersection and draw the overlap on their response sheet OR they can use a given list of figures presenting the overlap of the solutions to the inequalities for each section. They cut the figures and paste them in their corresponding fields on the response sheets provided or match each problem to its answer ( each figure is labeled with a letter ). Partners are also required to answer a well thought question concerning the intersection of the two solution sets in each section like what is the largest whole number that satisfies both inequalities. Students can also work in 4 groups of 2 – each group solve three sections, then groups swap papers and solve another three sections. I have included adapted response sheets if it is preferred this activity to be completed individually. All answer keys are included.

This is a collaborative and fun robots themed group activity on polynomial inequalities. On each slide/card students are given 4 similar problems as the problems increase in difficulty with each next slide/card. There are included inequalities with polynomials factored at the left side, inequalities where polynomials are not factored completely and inequalities where polynomials are in their standard form. Students must be able to factor quadratic and biquadratic trinomials, using the difference of squares formula, and factoring by grouping. Students work in groups of 2, 3 and/or 4 or this activity can be also completed individually as half of the problems can be solved as classwork and the other half - as homework. 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. 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 activity provides students practice with graphing quadratic inequalities. On each slide/page, students are given five quadratic inequalities and one graph. Students have to choose the inequality which represents the given graph (to match the graph with the correct inequality). There are 5 graphs of quadratic functions with the leading coefficient a>0 and 5 graphs of quadratic functions with the leading coefficient a<0. The quadratic inequalities are of all types - including equal to and not equal to inequalities. All functions are given in standard form. There are included two slides/pages with empty text boxes provided where students can record and justify their answers. Answer keys are included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.