This is a collaborative and challenging group activity to practice solving logarithmic equations. Students will apply the properties of logarithms: • One - To - One Property • Product Rule • Quotient Rule There are given six groups logarithmic equations of different types ( total of 24 equations). Most of the equations need to be transformed from logarithmic to exponential form. There are included equations with common and natural logarithms. Extraneous solutions are possible. Activity Directions: Each member of a group is asked to choose one of the equations from group A to solve it. Then members are instructed to search for one and only equation of each of the other groups of logarithmic equations which has the same solution as their own initially chosen equation of group A. A proposal strategy for a group of 4 to handle this task: each partner solves one equation of each group and then members sort the equations into groups according their solutions. Students solve equations on a separate sheet of paper and then show solutions to the equations having the same root on the recording sheets provided. Answer keys are included.

This is a Christmas elves themed practice on evaluating logarithmic expressions. Students are given 6 cards/slides as each card/slide contains 4 challenging problems A, B, C and D. Problems type A are simplifying logarithmic expressions using the property a^log(base a) b=b and the power property of logarithms. Students are given a sum or a difference to simplify and evaluate. Problems type B are simplifying logarithmic expression using the property log(base a)a^b=b and log(base m^b)n^a=a/b log (base m) n. Students are given a sum or a difference to simplify and evaluate. Problems type C are simplifying an expression using the property log(base a)b . log (base b) c=log (base a)c. Problems type D are adding and subtracting logarithms with the same base. Students work independently or in groups to complete the tasks. 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!

These are 8 Christmas themed task cards on finding limits and derivatives of functions of one variable. There are 2 problems per car – the first problem is evaluating the limit of a given function and the second problem is finding the first, second or third derivative of another given function. Functions included are rational, radical, exponential, logarithmic, trigonometric and inverse trigonometric. The chain rule and logarithmic differentiation are necessary. The product can be used as an independent /extra practice, as a group activity and review. Full solutions (handwritten clearly) are provided.

This is a fun game called “Knock Down the Skittles” on multiplying and dividing rational expressions. The problem pages/slides are three. On each page/slide students are given four problems, pictures of five skittles and five answer choices each written below each skittle. Students perform the indicated operation solving a problem and search for the answer they have obtained. They will find their answer written below some of the skittles. Students are said to “knock down” this skittle (they can scratch it off/strike it through). One of the skittles can not be “knocked down” as below it is written a false answer. If students solve all the problems on the page/slide correctly they will find out which one is this skittle. Finally students are asked to connect each problem with its answer drawing a line (students can use and another way to match the problems with their answers for instance marking the problem and its answer the same symbol or color). There are included three answer key pages/slides 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 a partner activity on dividing polynomials (no remainders) called “Get the Same Answer”. There are three problem pages/slides as each page/slide contains four sections. In each section are gven one problem for partner A and one problem for partner B. The partners’ problems of one section are very similar. Partners are asked to perform the division operation and then to compare their answers. There is an empty box provided in each section where partners can record their one and the same answer. Problems increase in difficulty with each section. Dividends are polynomials from 2nd to 6th degrees and divisors are linear, quadratic and cubic binomials and quadratic trinomials. Answer key is included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.

This is an engaging 4 levels practice on simplifying rational expressions. On the first page/slide (problems level 1) students are given 6 rational fractions. Students will need to factor out a GCF in the numerator and denominator and then to cancel the common factor to simplify. On the second page/slide (level 2) students will need to use the difference of squares formula and factoring out a GCF to simplify 6 rational fractions. On the third page/slide students have to factor the numerators and denominators of 6 rational fractions which are quadratic trinomials. And on fourth page/slide (problems level 4) students use the formulas for sum and difference of cubes to simplify the last 6 rational expressions. Some problems require using the polynomial identities for square of sum and square of difference. This product can be used for independent practice, extra practice, enrichment, group work and homework. 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 or three slides on a page for easy and more economic printing!

These are Australian animals themed task cards on operations with rational expressions. Students will practice adding, subtracting, multiplying, and dividing rational expressions. There are given twelve expressions as four of them are more challenging (including three fractions or including expressions within parentheses). Students will need to consider the order of operations to simplify the expressions correctly. The cards can be used for independent work or classwork. Student recording sheet and full typed solutions are included.

This is a multiple-choice fun St. Valentine’s Day activity on evaluating polynomial functions. On each page/slide students are given one polynomial to evaluate for a given value of x. Students are asked to use substitution or synthetic division or both methods. There is given a picture of heart and faces of a girl and a boy inside the heart, students also have four answer choices and love words corresponding to each answer choice. Students have to use their answer to find what love words has the boy said to the girl on St. Valentine’s Day. The pages/slides with problems are eight. Students can draw a shape of a heart to mark their answer choice in each slide. The polynomials included are of 3th, 4th, 5th, 6th and 8th degree, the number of terms are from 4 to 6. This activity can be completed individually or students can work in pairs (partner A will evaluate the polynomial using substitution and partner B will evaluate the same polynomial using synthetic division, then partners compare their answers and choose the correct answer choice; on the next page/slide partner A will use synthetic division and partner B will use substitution to solve the problem. Thus partners will practice both methods and will enjoy this activity together. I think this activity can be used in all days of school year. The answer key is given 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 a fun and challenging matching game called “Put my Hat on my Head”. It consists of 20 problems in which students practice simplifying expressions with complex numbers. The problems require adding, subtracting, multiplying and dividing complex numbers. Seven of the problems require rationalizing the denominator. Nine of the problems require knowledge of powers of imaginary numbers. None of the problems require simplifying radicals. ( The problems are a bit more complicated than ordinary examples! ) Activity Directions: Students are asked to write each of 20 given expressions as a complex number in standard form. They are also given two pictures – one with men heads labeled with the letters of the problems and one with hats on which are written the answers. Students cut out the hats to “put” each hat “on the head” of the man it belongs to (match answers with problems). This activity can be completed individually or in pairs. Answer keys are included. I hope you and your students enjoy!

This is an engaging autumn teddy bear themed five levels practice on factoring polynomials by factoring out the greatest common factor. There are five problem pages/slides as each page/slide contains six problems labeled with A,B,C,D,E and F. On the first page/slide the problems are of level 1 where the CGF is a first degree monomial in one variable. On the second page/slide the problems are of level 2, the third page/slide are level three problems as the GCF is a second and higher degree monomial in one variable. Page 4/Slide 4 are level 4 problems where the GCF is a second and higher degree monomial of two and three variables and on page 5/slide 5 there are problems level 5 as the GCF is a second or higher degree monomial of two and three variables multipled by a constant. There is an empty answer box provided below each problem where students can record their answers. This activity can be completed independently or students can work in groups of two or 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 two or three slides on a page for easy and more economic printing!

These are funny alphabet themed task cards on factoring polynomials using the difference of squares formula. The expressions are 26 and are labeled with alphabet letters. There are given from 4 to 5 expressions per page/slide as the problems increase in difficulty with each next page/slide. Students can work independently or in groups with the cards/slides. The last four problems are evaluating numerical expressions by the difference of squares formula (expressions like 639^2 - 361^2). Students are given two tables where they can record their answers. (Students can show work on separated sheet of paper). 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!

These are 6 St. Valentine’s Day themed task cards on factoring. Each card contains 4 problems - A,B,C and D problems. Problems A are factoring by factoring out the GCF, problems B are factoring by grouping, problems C are factoring quadratic trinomials and problems D are factoring by using the formula for difference of squares. The cards can be used as an independent/extra practice for review or students can work with the cards in groups of 2,3 or 4. 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 coloring activity provides students with 12 problems. Students will evaluate definite integrals applying integration by parts. 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 keys are included.

This is an engaging and fun turkey themed activity for groups of maximum four members. The slides with problems are 8. On each slide partners are given 4 similar equations (A,B,C and D equations). They have to solve them and show that all the equations are equivalent. Partners have the opportunity to help each other with methods and check whether their work independently and as a group is correct. The problems are challenging and increase in difficulty with each next slide. This activity can be also used as independent practice and homework. Answer keys are included. NOTE: I created this product in Google Slides. I uploaded it here in PDF format as I have included 2 PDF files - the one has each slide as a page and the other has four slides on a page for easy and more economic printing!

In this activity, students will solve multi-step/linear inequalities with one variable. Almost all of the problems require students to distribute before solving the problem. Students are required to give both inequality and interval notation forms of the solution. On each slide there are given three inequalities as one of the inequalities has the solution set of all real numbers, another has the empty set (no solution) and the last one has a concrete interval as solutions (three cases). The slides with problems are 10. The slides can be used as task cards for independent work or students can work in group of three. It is also possible for students to work in pairs as one of the partners will solve the problems of 5 slides/cards and the other partner will solve the inequalities of the other 5 cards. Partners can choose who on which cards to work. The answer keys are included (on the last slide). NOTE: I created this product with Google Slides. I uploaded it here in PDF format as I have included 2 PDF files - the one has each slide as a page and the other has four and three slides on a page for easy and more economic printing!

This is a fun multiple-choice activity on solving multi-step equations. There are 10 problem slides. On each slide students are given a picture of a mythological or a legendary creature, one equation to solve and four answer choices. A name of a fantastic creature corresponds to each optional answer. Students are asked to solve the equation and use their answer to find out what is the mythological creature on the picture. Students circle the letter of the answer they have chosen to be correct. A slide with extra information about the creatures is included in case students want to know something about the creatures on the pictures and ask the teacher. Answer key is included as well. NOTE: I created this product in Google Slides. I uploaded it here in PDF format as I have included 2 PDF files - the one has each slide as a page and the other has three and two slides on a page for easy and more economic printing!

This is an engaging and collaborative group activity ( for groups of 2,3 and/or 4) on solving one step inequalities. On each slide/page members of a group are given 4 similar problems. The slides/pages with problems are eight (a total of 32 problems). The problems increase in difficulty with each next slide. The inequalities are of type ax>b, ax<b, ax≤b and ax≥b, where a and b are integers, positive and negative decimals, fractions and mixed numbers. The product can be also used for independent and extra practice. Students can solve A and B problems in class and problems C and D may be given as homework assignment. Answer keys are included. NOTE: I have created this product with Google Slides. I uploaded it here in PDF format as I have included 2 PDF files - the one has each slide as a page and the other has three and two slides on a page for easy and more economic printing!

This is a fun multiple-choice game on solving one step linear equations. On each slide (slides with problems are 8) students are given two problems. The problems are labeled with large Latin letters written on pictures of seaweed. There are four answer choices for each problem labeled with small Latin letters a, b,c and d written on pictures of fish. Students solve the problem and circle the fish which represent the correct answer to the respective problem - to the seaweed. Problems are of type a+x=b, a-x=b, ax=b and a÷x=b, where a and b are positive and negative numbers (integers, fractions and decimals). Answer keys are included. NOTE: I created this product with Google Slides. I uploaded it here in PDF format as I have included 2 PDF files - the one has each slide as a page and the other has three and two slides on a page for easy and more economic printing!

This coloring activity provides students with 12 problems. Students will determine the inflection points of a given function. The functions included are polynomial, rational, radical, exponential, logarithmic, trigonometric and inverse trigonometric. 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 keys are included.

This coloring activity provides students with 12 problems. Students will find indefinite integrals applying basic integration. 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 keys are included.