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!

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!

In this activity students will practice solving improper integrals. There are two problems (A1 and A2 questions) on each of 8 aliens themed task cards. “An alien asks” two types of questions - question A1 is to evaluate an improper integral if it diverges and question A2 is to prove an improper integral equality. This activity can be used for class work, independent practice, as partner activity or group activity ( groups of 2 or 4). Answer keys and solutions ( handwritten clearly) to problems A1 – H1 are provided.

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 is an engaging activity on solving radical equations with higher indexes. There are 4 pages/slides with problems. There are included 2nd, 3th, 4th, 5th, 6th, 7th, 8th, 9th and 10th roots. On each page/slide students solve four given equations for the variables x, y , z and t. Students first find the variable x from the first equation, then they substitute the value of x in the second equation to find the value of the variable y. Then students use the value of y to find the value of z from the third equation and at the end students use the value of z to find the value of the variable t from the fourth equation. Students record their answers in the empty boxes provided. On each page/slide students are given a relation between the fourth variables x,y,z and t so to check if they have obtained the correct answers. Students can work independently or in groups (of 2 or 4) to complete this activity. 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!

This activity is designed to be used for groups of 4 members! It includes four different multiple - choice quizzes each of eight radical equations and a brief biographical text of NASA research mathematician Katherine Johnson (to be completed). Students will practice solving radical equations reducible to linear and quadratics. Extraneous solutions are included. The radical equations contain: a monomial and/or a binomial under a radical symbol a radical expression on one side of the equation and a monomial or a binomial on the other side radical expressions on the both sides of the equations (“radical equals radical”) Most of the equations require rearranging and isolating the radical and the rest are set up to square both sides. All the equations require squaring once. Activity Directions: Students solve all the equations. The answers they get will give them pieces of a brief biographic story about the American scientist Katherine Johnson. It can stimulate student interest in Math and provide a role model for all students. Recording sheets are provided for students to show all work. Answer keys are included.

This is a collaborative group activity (for groups of 2, 3 and/or 4 members) on inverse functions. It consists of 12 sections as in each section there are 4 similar problems – one problem for each of the partners. The functions included are linear (in section 1);quadratic functon in standard form (section 2) ;quadratic functions in vertex form (section 3);cubic functions in the form (x+a)^3 + b (section 4);polynomial functions in the form a(x+b)^n+c (section 5); square root functions in the form a + b√(x+c) (section 6);cube root functions c + ∛(ax+b) (section 7);n-root functions (section 8);rational functions of the type (ax+b)/(cx+d) (section 9);exponential functions of the type e^(ax+b) + c (section 10); logarithmic functions ln(ax+b) (section 11); trigonometric functions of the type asin(x+b), acos(x+b), atan(x+b) and acot(x+b) (section 12) 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 gives. The number of points are directly proportional to the difficulty level of the problems. Students recording sheets are provided. Answer keys are included.

This activity practices finding derivatives using the chain rule. The composite functions include rational, radical, trigonometric and inverse trigonometric, exponential and logarithmic functions. The most of the problems are challenging for students to improve their skills on differentiation using the chain rule. There are 12 black kitten - themed task cards each containing 2 tasks. On each card is given a function. Students are asked to find the first derivative (1 task) compute the first derivative at a given point (2 task) Students can use the cards working individually or in groups of 2, 3 and/or 4. Student recording sheets and typed answer keys are included.

This resource contains total of 50 problems. Students will practice differentiation using the basic properties of derivatives and the power rule only. The packet has 6 worksheets: ⟐ The first and second worksheets WS # 1A and WS # 1B are similar. Students will have to find the first derivatives of 10 various functions ( polynomial, rational and radical). These are designed to be possibly used as a partner activity. ⟐ The third worksheet is finding the first derivatives of 10 functions as some of the examples are a bit more complicated and challenging than WS # 1A and WS #1B problems. ⟐ The fourth worksheet is finding the second derivatives of 8 various functions ( polynomial, rational and radical). ⟐ The fifth worksheet has the students finding the equation of the tangent line for 6 given functions at indicated points. ⟐ The sixth worksheet asks the students to determine the intervals on which 6 given functions are increasing and decreasing. The worksheets can be used as class practice, for an extra practice or enrichment, an assessment or homework assignment. It can be used as a partner activity – for instance: ⟡ Partner A will solve WS # 1A while Partner B solves WS # 1B, then they swap papers and Partner A will solve WS # 1B while Partner B solves WS # 1A. 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 NOT included!

This is an engaging card sort activity for studying the intervals of concavity and inflection points of given functions. The functions (common and composite) include polynomials, radical, exponential, logarithmic, trigonometric and inverse trigonometric expressions. They are specially selected so that each function has not more than one inflection point. Activity Directions: Students determine the intervals of concave up/concave down and the inflection points of each of 12 given functions. They are also given 16 cards each with a statement written on it. The statements concern the concavity and inflection points of the given functions and are true or false. Partners are asked to use their studies on the functions to verify the statements and sort the cards into two groups - “TRUE” and “FALSE”. Thus students do comparative analysis of the functions. This product can be possibly used as an independent practice, as a partner or a group activity (groups of 3 and 4). Student recording sheet and all answer keys are provided.

These are 9 practice tickets on real zeros of polynomials. There are 3 problems per ticket - given are third degree polynomial, a fourth degree and a fifth degree polynomial as each problem is worth respectively 3, 4 and 5 points. The product can be used as independent practice of 9 forms, group activity (students can work in groups of 2,3,4 and more members) that can turn into a competition. The group gathered maximum points wins. The tickets can be also used as homework assignment or even 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 or three slides on a page for easy and more economic printing!

These are 12 turkey/Thanksgiving themed task cards. The cards are grouped with three similar problems per card. Students will review and demonstrate their knowledge of the following topics: domain and range of rational, radical and logarithmic functions - cards 1 and 2 horizontal and vertical asymptotes of rational, radical and logarithmic functions - cards 3 and 4 real zeros of rational, radical and logarithmic functions – card 5 intervals of monotonicity of rational, radical and logarithmic functions – card 6 real and imaginary zeros of polynomials (factoring polynomials, finding x- and y- intercepts, solving polynomial equations), solving polynomial inequalities in standard and factored form, solving rational inequalities – cards 7, 8, 10, 11 and 12 division of polynomials – card 9 Students can use the cards working in groups of 2, 3 and/or 4. The cards can be also used as an independent practice. The teacher or the student can choose which problems of each card to be solved like 1a, 2b, 3a, 4c…etc. Student recording sheets are provided. Typed answer keys are included. Have a Blessed Thanksgiving!

This is an engaging practice on exploring quadratic functions. Students are given 66 quadratic functions in standard and vertex forms. They have to identify/find the axis of symmetry (9 problems) the vertex (10 problems) the minimum or maximum (8 problems) the range (6 problems) the intervals of increasing and decreasing (10 problems) the y- intercept (9 problems) the x- intercepts (14 problems) This practice can help learners strengthen their understanding on characteristics of quadratic functions and then deal with the process for graphing quadratics easily. The practice worksheets have enough room for students to show their work. Answer keys are included.

This is an engaging practice for a set of 30 problems on equation of a circle. It consists of four parts (four pages) Part 1/Page A contains 10 problems on finding the center and radius of a circle where in the first 6 problems the equations are given in standard form and in the last 4 problems the equations are given in general form. Students will need to complete the square to complete the last 4 tasks. Part 2/Page B have 8 text problems on writing equations for circles. Students are given the center and the radius the endpoints of the diameter the center and one point that the circle goes through it the center and an endpoint of the radius the center and the diameter the center and the circumference of the circle the center and the area of the circle Part 3/Page C is interpreting the graphs of 6 circles. Students will have to write the equation of each circle in both standard and general forms. Part 4/Page D is graphing the circle given its equation in standard form (6 problems). Grids are provided. The practice sheets give room for students to show work. Answer keys are included.

These are two products in one - two password search activities. The resource includes a total of 24 examples in which students will convert between radians and degrees. Product 1: Students solve 12 problems to convert given radian measures into degrees. Then 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 problems right. Product 2: Students solve 12 problems to convert given degree measures into radians. Then 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 problems right. The practice sheets give enough room for students to show work. Answer keys are included.

These are two forms of engaging practice on arc length and area of a sector. The forms are similar and each form contains 7 problems graduated in difficulty. The first problem is finding the arc length and sector area of four pictured sectors as the measure of the central angle and the radius are given. The second problem is calculating the area of a pictured segment. The next five problems are text problems. For problem 3, students have to find the length of an arc given its angle measure and the diameter of the circle. Problem 4 is finding the diameter of a circle given an arc length and its central angle. For problem 5 given are the radius and an arc length, students have to find the sector area. Problem 6: given the radius and the sector area, student will find the central angle and the exact and approximate values of the arc length. And problem 7: given the arc length and sector area, students have to evaluate the diameter and circumference of the circle. The product can be used except as independent practice in class as an assessment and homework assignment. Answer keys are included.

This activity practices solving quadratic equations. The half of the equations are in standard form and set to zero and the other half have one term on the right side of the equation. There are also included incomplete quadratic equations. Solutions are only rational numbers. Activity Directions: Partners will each have their own set of 8 quadratic equations. They solve the first four of them by factoring and the rest – by the most appropriate method they choose. Then they search for the numbers they have found on the “balloons board” - a set of balloons given with numbers and words on them. When students find their answers written on some of the balloons, they “burst”(strike-through) it. The word written on this balloon is eliminated too. Partners continue solving still that way and at last they will have some balloons “survived” inseparably with the words written on them. They arrange all these words to make a proverb. I have designed THREE DIFFERENT VARIANTS of “balloon boards” so the groups playing different versions to find out other proverbs.(The problems are the same.) All answer keys are included. I hope your students enjoy “eliminating balloons” and searching for wisdom sayings.

This activity practices solving complete quadratic equations with complex solutions by completing the square and by the quadratic formula. All the equations have terms on both sides. Partners have similar type of problems so as to meet similar difficulties. They will each have their own set of twelve equations which must be solved by a specified method. The amusing part of this product is creating compound words corresponding to the solution sets of the quadratic equations given. Activity Directions: Partners are instructed to solve half of their problems by completing the square and the other half – by the quadratic formula. Using a table given, they find which two words correspond to the solution set of each of their equations and make compound words. They record their findings in another table provided. Students show detailed solutions on student recording sheets specially designed for this activity or they can solve the problems on a separate sheet of notebook paper. Answer keys are included. I hope your students enjoy this activity.

This group activity practices solving quadratic equations by factoring. The half of the quadratic equations are in standard form and the other half of them have terms on both sides. The accent is put on finding a common root between two and more equations. The fun part is finding out the configurations of two hidden constellations. Activity Directions: Students will each have their own set of two groups of seven equations. The first group of equations are labeled with big Latin letters and the second group – with small Latin letters. All the equations with one and the same letter have a common root. Partners solve, compare their answers and determine the common root for each group of equations. They record their answers in a table provided on a group response sheet and mark the common root between equations A, then – between equations B and etc. Students are also given a figure with circled numbers called “stars”. Some of these “stars” form configurations of two constellations. The “stars” of the first constellation are numbered with the values of common roots of the equations, labeled with big Latin letters. Respectively, the “stars” of the second constellation are numbered with the values of the common roots of the equations, labeled with small Latin letters. Once students have determined the common roots, they look for their values on the figure and connect the stars with straight lines in a given order so they can find the configurations of the two hidden constellations. At last partners try to identify which are the constellations (Ursa Major and Ursa Minor). Recording worksheets are provided for students to show work. All answer keys are included as well. THIS ACTIVITY CAN BE DIVIDED INTO TWO PARTS!

Students will practice solving rational equations reducible to linear by cross multiplication with this activity. (The types of the problems are described in details in the preview file. All coefficients and almost all of the solutions are integers). Activity Directions: Students work in groups of 4. There are a total of 32 problems. Each member of a group will work through 8 rational equations, where half of them are marked with a flower drawing and the other half are marked with a ball drawing. The flowers and the balls of each partner of a group are colored in one and the same color. Students solve all the problems. They find their answers on a picture of a meadow given and draw a flower or a ball on this picture around their answers. Then they colorize them with the respective color. For instance, if a number on the picture is the solution of an equation marked with a red ball, the student will draw a ball around this number and will colorize it in red. The sum of the answers of each partner is zero. Students recording sheets are specially designed and provided for this activity. All answer keys are included. This activity is engaging and at the same time relaxing. I hope your students enjoy it. NOTE: You will need a** colored printer** to use this activity!