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!

These are 12 Algebra 1 warm-ups, do-nows, bell-ringers, entrance/exit tickets or mini-quizzes/mini homework on equations (multi-step, absolute-value, quadratic, literal) and ratio and proportions. Each of them is a half-sheet in size and contains 4 problems, only 11th and 12th warm- ups have each 3 text problems. Topics Included: Multi-Step Equations (Variables on Same Side) Multi-Step Equations (Variables on Both Sides) Multi-Step Equations (Special Case Solutions) Absolute Value Equations Quadratic Equations (Square Root Method) Quadratic Equations (Solving by Factoring) Quadratic Equations (Complete the Square) Quadratic Equations (Quadratic Formula) Literal Equations Proportions (Cross Multiplication) Writing & Solving Equations (Text Problems) Ratios and Proportions (Text Problems) Answer key is included.

This resource includes an engaging practice on quadratic equations with complex solutions containing 32 problems and homework assignment with 16 problems. Students will solve quadratic equations by the square root method, by completing the square and by the quadratic formula. The practice problems are classified/arranged by type: A. quadratic equations having b=0 and ac>0 (8 problems) B. the real and imaginary parts of the complex roots of a quadratic equation are both rational numbers ( √D= ai , a - a whole number) (8 problems, level 1) C. the real and/or imaginary part(s) of the complex roots of a quadratic equation is/are irrational number(s) ( √D= √a i , a - a whole number) (8 problems, level 2) D. finding a quadratic equations with given the pair of roots (8 problems) The practice sheets give room for students to show work. The product can be used as a classwork, independent practice, for practice after teaching a lesson on quadratic equations with complex solutions/roots, homework assignment and assessment. Answer keys are included.

This activity practices solving complete quadratic equations by all methods. 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 three groups of six equations which must be solved by a specified method.The amusing part of this product is creating compound words corresponding to each solution set of the quadratic equations given. Activity Directions: Partners start solving their own set of three groups of six equations by a specified method. Once students has found the solution set of each equation, they are given two tables to use. There is a word corresponding to each number 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 quadratic equation and write down the compound word corresponding to it in table 2 . Students show down 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 provided. You can split this activity into two or three parts!

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 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 resource contains total of 32 problems. Students will practice solving rational inequalities algebraically. They are asked to write the solution sets using interval notation. The problems are classified into 3 categories according to the form of the inequalities. The examples include first, second, third, fourth and sixth - degree polynomials. ⟐ The first and second worksheets have the students solving a total of 16 inequalities in factored and general form ( level 1 & level 2). ⟐ The third worksheet is finding the solution sets of 8 inequalities in general and not factored form. ⟐ The fourth worksheet contains 8 inequalities written in not general form. The product can be used in a variety of ways – in class for cooperative learning , as a partner or a group activity, independent practice or homework assignment. Typed answer keys are included.

This resource contains 50 questions. It focuses on solving polynomial equations in factored form by using the zero product property. The problems are classified into 3 categories according to the types of roots of polynomial equations. ⟐ The first worksheet has the students solving 10 polynomial equations with real solutions in factored form (equations type 1). ⟐ The second and third worksheets (two different variants/forms) are finding the real solutions of each of 8 polynomial equations (equations type 1). Some problems become more difficult to solve as may require use of factoring techniques, including GCF, difference of two squares and factoring quadratic trinomials or using the quadratic formula. These two worksheets can be used as a partner practice. ⟐ The forth worksheet has the students solving 8 equations with imaginary and complex solutions (equations type 2). ⟐ The fifth and sixth worksheets (two different variants/forms) are finding the real , imaginary and complex solutions (equations type 3) of each of 8 polynomial equations. Some problems become more difficult to solve as may require use of factoring techniques, including difference of two squares, sum & difference of cubes, factoring quadratic trinomials and using the quadratic formula. These two worksheets can be used as a partner activity. The product can be used in class for cooperative learning , as a partner or a group activity, independent (extra) practice, enrichment or homework assignment. Typed answer keys are included.

This activity practices solving trigonometric equations of quadratic type. It includes multiple - choice with twelve equations and a brief story about the history of trigonometry to be completed. The equations require the use of Pythagorean, reciprocal, quotient, double angle identities and the quadratic formula. Problems range in difficulty. Activity Directions: Students must solve all the problems and find specific solutions. The answers they get will give them pieces of a brief story about history of trigonometry. Studying the history of trigonometry will throw light on the nature of the discipline. It will help students gain a deeper understanding of the trigonometry they have already studied by seeing how it was developed over time. Recording sheets are provided for students to show all work. An answer key is included. This activity can be used as individual practice, as a partner activity (each partner will get a sheet that has only six equations to solve) or in small groups of 3. It could also be used as an assessment.

In this activity students will practice solving radical equations with one and two radical terms resulting in quadratics. The radical equations contain: a monomial, a binomial and a trinomial under a radical symbol one and/or two radical expressions 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”) Half of the equations require squaring once and the other half – squaring twice. Extraneous solutions are purposely NOT included, however partners will need to check their answers. The enjoyable part of this product is creating compound words corresponding to each solution set of the quadratic equations given. Activity Directions: Partners start solving their own set of twelve equations. (They have similar type of problems so they will meet similar difficulties). Once students has found the solution set of each equation, they are given two tables to use. There is a word corresponding to each number 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 quadratic equation and write down the compound word corresponding to it in table 2 . Students show down detailed solutions on student recording sheets specially designed for this activity. Answer keys are provided.

This activity practices solving logarithmic equations (24 problems) using the properties of logarithms: • Zero- Exponent Rule • Product Rule • Quotient Rule • Power Rule • One - To - One Property Some of the equations need to be transformed from the logarithmic to exponential form. All of the equations result in quadratics. Extraneous solutions are NOT included, however students must check answers or determine the domain of the respective logarithmic functions. Common logarithms are included. The amusing part of this product is creating compound words corresponding to each solution set of the quadratic equations given. Activity Directions: Partners start solving their own set of twelve equations. (They have similar type of problems so to meet similar difficulties). Once students has found the solution set of each equation, they are given two tables to use. There is a word corresponding to each number 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 quadratic equation and write down the compound word corresponding to it in table 2 . Students show down detailed solutions on student recording sheets specially designed for this activity. Answer keys are provided.

This activity practices solving exponential equations with same base and with different bases without using logarithms. It requires knowledge of the properties of exponents. All exponential equations given are reducible to quadratic equations with two distinct rational roots. Partners have their own set of two groups of equations. The FIRST GROUP contains equations which have exponential expressions with same bases and the SECOND GROUP of equations is more challenging as having exponential expressions with different bases. The amusing part of this activity is creating compound words corresponding to each solution set of the exponential equations given. All answer keys are included. I hope you and your students enjoy this activity.

This fun matching activity allows students to practice applying the exponent rules to 12 challenging expression. The properties of exponents included are: multiplying with same base dividing with same base negative exponents power to a power zero exponents There are given twelve “tickets/cards” each with the face of a cartoon hero – a boy or a girl. The hero „says“ his/her name and „ask“ the student to simplify a given expression, then to use the answer to find what breed is his/her (the hero’s ) favorite dog or cat. Students have one sheet with the pictures of twelve different breeds of dogs and another sheet with the pictures of twelve different breeds of cats. There is an expression corresponding to each picture. 12 of these corresponding to the pictures expressions are the answers. Thus students using the pictures and their answers can find what breed is the favorite dog or cat to each of the twelve cartoon heroes. Students can work in groups of 2 or/and 3. Student recording sheet and answer keys are included. Note: You will need paper size A4 to print this document.

These product can be used to introduce laws of exponents or for engaging practice after teaching a lesson on exponent rules. There are 121 laws of exponents problems in all divided into 17 sections(from A to Q). In each section each “rule” is written and includes 1 to 4 worked out examples and 3 to 8 similar to them problems for students to try to solve them by their own. Students will apply A) product rule with same base B) product rule with same exponents C) quotient rule with same base D) quotient rule with same exponents E) power rule F) power rule with radicals G) negative exponents rules Students will also multiply and divide negative and fractional exponents, exponents with different bases and different power indicators, exponents with variables and in the last section students will perform adding and subtracting exponents. The practice sheets give room for students to show work. Answer keys are included.

These are 11 Algebra 1 warm-ups, do-nows, bell-ringers, entrance/exit tickets or mini-quizzes/mini homework on inequalities and systems. Each of them is a half-sheet in size and contains 4 problems, only 10th and 11th warm- ups have each 3 text problems. Topics included: Multi-Step Inequalities (Variables on Same Side) Multi-Step Inequalities (Variables on Both Sides) Multi-Step Inequalities (Special Cases) Absolute Value Inequalities Compound Inequalities (OR) Compound Inequalities (AND) Systems of Linear Equations (Solving by Graphing) Systems of Linear Equations (Solving by Substitution) Systems of Linear Equations (Solving by Elimination) Systems of Linear Equations (Text Problems) Multi-Step Inequalities (Text Problems) Answer keys are included.

These practice worksheets (5 pages) contains 21 well thought and carefully selected various problems on ratios and proportions. Students will fill in tables determine ratios using given diagrams and converting units of measure solve geometric and word problems compare ratios prove that given statements are proportions form proportions evaluate ratios given proportions and equations find unknown member x of a proportion prove statements given a proportion Students have enough room to show work on the worksheets. Answer keys are included.

This is an engaging group activity (for groups of three members) on adding and subtracting polynomials. On each page/slide partners are given three similar examples. The problems are labeled with large animals themed alphabetic letters. On the first page/slide partner A may solve problem A, partner B may solve problem B and partner C - problem C. On the next page/slide partner A will solve problem D, partner B - problem E and partner C will solve problem F, and etc…Partners have the opportunity to collaborate and compare solutions to similar problems. This group activity may turn to competition to become more fun. There are 2 pages/slides on adding polynomials and the next 2 pages/slides are on subtracting polynomials. The last 4 slides contain more challenging problems where students have to perform both operations - adding and subtracting polynomials to simplify the given expression. The activity can be used as classwork and independent practice as well. 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!