These are 12 cards for partners – a total of 48 trigonometric equations. Students will practice solving basic trig equations, equations with multiple angles and equations of quadratic type. They will need to use factoring method and the quadratic formula, the fundamental and double-angle identities. There is one trig equation involving a parameter on each card. Students are asked to solve the equation for four given different values of the parameter. Thus, students have four problems per card – problems 1A, 1B, 1C and 1D. Students can work in pairs (partner activity) or in groups of three and four (group activity). This is a wonderful way to get students working on different, but similar problems helping each other with methods. The cards can be used for independent work as well. The teacher or student can chose which problems to solve – like problems 1A, 2C, 3B, 4A, 5D, etc. Student recording sheet and answer keys are included.

In this engaging and collaborative group activity (for groups of four), students will practice operations on functions (adding, subtracting, multiplying and dividing). There are 7 sections as each section has four subsections A, B, C and D (a total of 112 problems). In each subsection are given different pairs of functions as each partner has to perform adding, subtracting, multiplying or dividing. The subsections are four so each partner to go through the fourth different operations on functions. In section 1 the given functions f(x) and g(x) are both linear. In section 2 f(x) is a quadratic binomial and g(x) is a linear function. Section 3: f(x) and g(x) are both quadratic binomials. Section 4: f(x) or g(x) is a cubic binomial and g(x) or f(x) is a quadratic trinomial. Section 5: f(x) and g(x) are both radical functions. Section 6: f and g are rational functions. Section 7: in subsections A and B f and g are both exponential functions and in subsections C and D f and g are both trigonometric functions. The teacher can choose on which sections the students to work on. This group activity may turn into competition between groups. ☞The resource can be also used as four different forms of independent practice. Answer keys are included.

This trigonometry activity consists of a total of 24 problems in which students will practice finding missing side and angle measures in right triangles using the sine, cosine, and tangent ratios. The problems are divided into six sections of four similar problems. The product is intended to be used for groups of maximum four members (there is a problem for each partner of the group in a section) . Solving similar problems in each section encourages the partners to help each other with methods. Moreover, this group activity may easily turn into a competition between groups. The product can be also used as an independent practice with four similar forms (form A, form B and forms C and D) if preferred. I have included a modified worksheet so the product can be used in this way. Here is the description of the problems in each section: Section 1&2 – given the hypotenuse and an acute angle. Section 3 – given an acute angle and its opposite side. Section 4 – given an acute angle and its adjacent side. Section 5 – given a leg and the hypotenuse. Section 6 – given the two legs. Students have to find the missing sides or/and angles. Answer keys are included.

This activity practices solving basic trigonometric equations. Students must find their primary solutions in the specific interval (0 ; 2π] and give answers in radian form. The process of solving involves only the use of the reciprocal identities and algebraic manipulation (such as collecting like terms) to isolate the trigonometric function on one side of the equation. Partners will each have their own set of fourteen equations. All the equations are well thought so the solutions of each equation on the specified interval are only two. The amusing part of this activity is creating compound words corresponding to each solution set of the trigonometric equations given. Partner A’ s equations are equivalent to partner B’ s equations, so the compound words made by one partner will be the same as the words made by the other partner. Thus, partners will be satisfied to know that they both have worked correctly and will be encouraged to collaborate. Activity Directions: Partners start solving individually their own problems. Once they have found the solution set of each equation, they are given two tables to use. There is a word corresponding to each radian written in table 1 . Using this table, students find which two words correspond to each solution set of their equations and make compound words. They record the solution set of each trigonometric equation and write down the compound word corresponding to it in table 2 . 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. All answer keys are included.

This quiz game is designed to be used for groups of 4, 3 or 2 members. Students will practice solving rational equations ALL HAVING EXTRANEOUS SOLUTIONS using the most appropriate method for solving . The activity includes monomial, binomial, and trinomial denominators. The problems are well thought out so the partners have similar type of problems. This aims to encourage collaborative team-work. Activity Directions: There are 32 problems total, separated into four sets. Partners start solving their own set of equations and check for extraneous solutions. They “throw” the extraneous solution of each of the equations into its corresponding recycle bin on the “recycle bins board” given by writing the value of the extraneous root on the “falling” into the bin sheet of paper. The group which has thrown away all the extraneous solutions first and solved all the equations properly win. Student show detailed solutions on student recording sheets provided for this activity. All answer keys are provided as well.

This activity is a perfect way to challenge your advanced learners on topic quadratic equations. It contains more complex problems, much more engaging than the ordinary one. Students will practice solving quadratic equations with rational coefficients having only rational solutions. Each quadratic equation must be solved by a specified method. There are problems included, where students need to compute • the sum and product of the roots of two equations • the absolute value of the sum and difference of the roots of an equation • the sum of the squares and cubes of the roots of a quadratic equation Hints ( formulae) are provided to help students check their ”pretty” answers.

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 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 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!

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!