This is an engaging teacher themed practice on natural logarithms. There are four problem pages/slides each containing two main tasks A and B. Task A is condensing logarithms - students have to simplify three or four expressions (without and with variables) using the properties of natural logarithms; task B is solving three or four logarithmic equations with natural logarithms and/or exponential equations using natural logarithms (a total of 30 various problems). Students are provided with an empty box below each problem where they can record their answers. Please view the preview to see all the problems included. Students can work independently or in pairs. Answer keys are included (four answer key 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 slides on a page for easy and more economic printing!

This is an engaging and collaborative partner activity for students to practice solving matrix equations. There are a total of 16 problems including matrices with dimensions 2x2, 4x1, 1x4, 3x3, 2x4, 4x2. Eight of the problems require adding , subtracting, and multiplying by a scalar to solve the problems. The other eight problems require finding the inverse to solve the problems. The equations are of types AX=B and XA=B. Six of the equations require finding the inverse of 2x2 matrices and two of the problems require finding the inverse of a 3x3 matrix. There are 8 sections. In a section each partner is given an equation to solve. Partner A solves for the matrix X and partner B solves for the matrix Y. For each section, a partner checks whether his answer is a matrix transpose of the matrix that his partner has found. Student recording sheet and answer keys are provided.

These are two pets and kids with pets themed mazes on factoring quadratic trinomials when a=1 (maze 1) and when a>1 (maze 2). 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 colored line to display their answer path. There are included two pages/slides with empty boxes provided where students can write to show all their work! Answer keys and solutions 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 for groups of 3 members on factoring polynomials. There are 8 slides with problems as on each page/slide there are given three similar polynomials. The three similar examples are labeled with large alphabetic letters “covered with snow”. Partner A can solve problem A, partner B can solve problem B and partner C can solve problem C. On the next slide partner A will solve problem D, partner B - problem E and partner C will solve problem F and etc. The problems of 1st and 2nd pages/slides are factoring out by GCF. Problems of page/slide 3 are factoring by grouping. Problems of slide/page 4 are factoring by using the formulas for square of sum and square of difference. Problems of pages/slides 5 and 8 are factoring using the formula for difference of squares, page/slide 6 is factoring quadratic trinomials ax^2+bx+c and page/slide 7 is factoring biquadratic trinomials ax^4+bx^2+c. 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!

Students will simplify 26 expressions using the distributive property and combining like terms with these pumpkin alphabet themed task cards. On each slide/card students are given two similar problems to solve therefore these cards are especially suitable for two partners (working in pairs). The problems have 3 levels of difficulty: Level 1: Distribute once only (3 slides/cards) Level 2: Distribute and combine like terms (7 slides/cards) Level 3: Distribute twice and combine like terms (3 slides/cards) I have included problems where the factor in front of the brackets is a fraction and/or a decimal (the last 4 slides, more challenging problems). This resource also works well as independent practice, extra credit/practice. 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 four slides/cards on a page for easy and more economic printing!

This is an engaging sitting animals themed partner activity on evaluating piecewise functions called “Find My Numbers”. On each page/slide there are given three cards as an “animal sit” on each of them. There are two similar problems on each card, the one problem is for partner A and the other problem is for partner B. Each partner have to find the sum f(a)+f(b) for the cards on pages/slides 1 and 2 and the sum f(a)+f(b)+f© for the cards on page/slide 3. For each card partners will find two numbers which are the numbers of the animal sited on the card. The problem pages/slides are three providing 9 problems for each partner. On pages/slides 1 and 2 the piecewise functions consists of two functions and on page/slide 3 the piecewise functions consists of three functions. The functions included in this activity are only linear and quadratic. On page/slide 4 there is given a table where students can record their findings. 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!

Students will solve problems involving the area of plane figures (triangles, rectangles, parallelograms, rhombi, squares, trapezoids and regular hexagons) with this collaborative activity. The problems require students to use trigonometry, Pythagorean Theorem and Heron’s formula! There are 6 task cards grouped with 3 problems per card so that students can work in groups of 3 (or 2). Problems include: Finding the area Finding a dimension given the area Card 1 have problems involving area of triangles, card 2 – area of rectangles, card 3 – area of parallelograms and a rhombus, card 4 – area of squares, card 5 – area of regular hexagons and card 6 – area of trapezoids. Student recording sheets and full solutions (handwritten clearly) are provided.

This is an engaging pirates themed triple activity on solving systems of linear equations by the elimination method. There are three slide/pages with problems. 1 slide/page. Matching Activity In the first slide students have 6 systems to solve by the elimination method and six answer choices. They have to match the problems with their answers typing the letter of the answer next to the number of the problem. 2 slide/page. Systems with the Same Solutions In the second slide students are given another set of six systems. They have to solve them by the elimination method and find which of them have the same solution. Students type their finding on the slide. 3 slide/page. True or False In the third slide students are given two systems with a parameter. They have to determine for which values of the parameter each of the systems have (i) infinite many solutions and (ii) no solution. There are given two statements concerning each of the systems and its solutions. Students have to find whether these statements are true or false. They type “true” or “false” on the slide. This product can be used as independent practice or students can work in pairs to complete this activity. This can be also used as an extra practice and enrichment. The answer keys are contained in the last four 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 three slides on a page for easy and more economic printing!

This fun (Valentine’s Day Themed) match and sort activity allows students to practice solving systems of linear equations to 26 challenging problems (from A to Z). Students can solve the systems using the most appropriate method. There is given a pictures with 9 baby animals as each animal is holding a heart. The answers of the 26th systems are written on the hearts. It means that there are problems having the same answer. After students have solved the systems they look for their answers on the picture and match each problem with its answer. Then they sort the systems having the same answer. Students can work in groups of 2, 3 and/or 4. Answer keys are included.

This is a fun activity on logarithmic equations level 1. Students are asked to solve 12 logarithmic equations of the type log with base a from (kx+n)=b, where a,b,k and n are constants. Then students search for their answers in a table with names of astronomical objects (stars, asteroids, satellites, comets) corresponding to given numbers. Finding their answers students also find the names of 12 brightest stars. Students record the number of the problem matching it with its answer in a small text box provided. I have included the answer key and two tables with extra information for the teacher to inform students (if they are interested) what object is behind each name they have met in the table with answers. 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 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!

This engaging practice consists of 12 exponential equations of quadratic type. Student need to use a substitution a^x= y to reduce the given equation to quadratic. Then students will obtain two exponential equations of the type a^x=b and will do need logarithms or calculators to solve them. There are included equations with solutions - integers and there is an equation having no solution. The practice sheets have enough room for students to show work. Full typed solutions are included.

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 an engaging thinking kids themed activity on multi-step equations and inequalities having no solutions, all real numbers as solutions and having the same solution. The problem pages/slides are six as each contains five problems. On each page/slide there is a picture of a boy or a girl “saying” that the given equations/inequalities all have no solution or having all real x as solutions or having the same solution. The boy/girl “askes”:“Am I right?” So the students have to solve all the equations/inequalities to check the statement and determine if the boy/girl is right or wrong. There are provided empty boxes where students can record their findings. This activity can be completed independently or in groups of 2. 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 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!