Students will practice solving multi-step inequalities with this duck engaging activity. The problem slides/pages are three as on each slide/page students are given six inequalities. On slide/page 1 students have to determine which of them are equivalent, on slide/page 2 students find which inequalities have no solution and on slide/page 3 students search for inequalities having all real numbers solutions. There is included one slide/page where students can record their answers and the last slide/page is answer key slide/page. 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 resource includes multiple-angle trigonometric equations for your students to solve on the interval [0, 2π). There are four sections, each containing three different equations. The equations included in each section involve respectively double, triple, half and quadruple angle. No identities are required other than the reciprocals of the six basic trigonometric functions. Students will only need to use algebraic manipulations to isolate the trigonometric function on one side of the equation. Activity Directions: There are given three equations and a set of radians in each section. Students start solving the equations on the specified interval. Then they must determine which one of the equations has the given set as its own private solutions. The possible answers are – one, two or not even one of the equations has the given set as its own private solutions. This activity can be used as individual practice or in a small group. It can be used as an assessment as well. An answer key is included.

This practice worksheet consists of 3 pages and contains 20 problems. Students will practice differentiation of trigonometric functions using the basic properties of derivatives, derivatives of the functions sinx, cox, tanx and cotx, the power, product, quotient and chain rules. There are examples with composite functions where trigonometric function is substituted into exponential and logarithmic functions and examples where exponential function is substituted into trigonometric function. There is one example where the trig function is radicand. Pages 1, 2 and 3 require students to find the first derivative of 17 functions. Page 3 has another 3 problems on finding the equation of the tangent line to a trig function at a given point. Useful for independent /extra practice, enrichment or homework assignment. Typed answer keys are included.

This resource contains total of 30 problems. Students will practice higher order differentiation of common and composite functions (with and without the chain rule). The packet has 4 worksheets: ⟐ The first worksheet has the students finding the second derivative of 10 various common and composite functions. ⟐ The second worksheet is finding the third derivative of 6 functions (without using the chain rule). ⟐ The third worksheet is finding the fourth derivative of 6 common functions (without using the chain rule). ⟐ The third worksheet is finding the first four derivatives of 8 composite functions using the chain rule. The worksheets can be used in class for group work or an independent practice, for enrichment, an assessment or homework assignment. Detailed typed answer keys are provided.

This matching activity practices simplifying radical expressions by rationalizing the denominator. There are included 18 radical expressions as the problems vary in difficulty. Students simplify the given radical expressions.(The teacher can choose less examples than 18 to be worked on). Each expression is labeled with a large alphabet letter. Then students look for their answers on the answer board. Each answer is labeled with a small alphabet letter. Students connect each problem to its answer (match each large alphabet letter to a small alphabet letter). Student recording sheets and answer keys are included.

This is an activity called “Inquisitive Animals” on cube root. There are five pages/slides as on each three animals ask three questions on cube root. Students can answer each question writing on the worksheet/slide below the question. The questions concern exact and approximate value of cube root, comparing cube roots and integers/whole numbers, cube root equations, volume of cube and sphere. This activity is student friendly and more fun alternative of task cards. 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 or three slides on a page for easy and more economic printing!

This is an engaging and collaborative partner activity for students to practice finding determinants of 2x2 and 3x3matrices. There are 20 questions to be solved. Partner A start solving first. He finds the determinant a of his first problem (matrix) and gives his answer to his partner. Partner B takes the answer a of his partner and plugs it into his first matrix to find its determinant b. Then partner A takes the answer b and plugs it into his second matrix to find its determinant c. The activity goes still the same way - partners must use the answer from the previous question to substitute into the next problem. Students are given the final result so that they can check whether their work is correct. Answer keys are included.

This activity practices solving rational equations reducible to linear by cross multiplication method. The types of equations included are described in details in the preview file. All coefficients and almost all of the solutions of the equations are integers. Activity Directions: In task 1, partners are notified that each pair of their problems (A1, B1), (A2, B2) and the rest have solutions of opposite signs. Students reduce the rational equations to linear using the cross multiplication and solve for the variable. They compare answers with each other to check if they have solved the equations properly. In task 2, partners are given another set of rational equations. This time they must determine the root of which of the equations of one partner is opposite in sign to the root of randomly chosen equation of the other partner. Solving each of their equations ( by cross multiplying ) and comparing the solutions will help partners to find out which pairs of equations have solutions of opposite signs. There is else one extra question. Partners need to find out which of another rational equations given have no solution. Partners response sheet and student recording sheets are specially designed and provided for this activity. All answer keys are included as well.

In this engaging and collaborative partner activity, students will practice solving absolute value equations having rational solutions. The equations are specially selected so each pair or equations have a common root. The problems are three different types ▸ ∣ax + b∣ = c, c ≧0 ▸ ∣ax + b∣ = cx + d ▸ ∣ax + b∣ = ∣cx + d∣ Extraneous solutions are possible. Activity Directions: There are 24 problems total, separated into two sets. Partners start solving their own set of twelve equations by the most appropriate method and check for extraneous solutions. They must determine the common root between each two partners’ corresponding equations. ( For instance, the equations (1a) and (1b) are corresponding and have one common root, similarly the equations (2a) and (2b)… ). Partners record their answers and mark the common roots in a table given OR they record each common root in the area of each pair of intersecting ellipses on a figure given. Student recording sheets are provided for partners to show all work. An answer key is included.

These are 12 challenging problems on solving systems of two quadratic inequalities in one variable. Students can solve each system by using a sign chart, by using a double number – line or by representing the solution of each inequality on one and the same number line. Then students determine where the solutions of the two inequalities overlap and find the combined solution set of the system. The practice sheets give room for students to show work. This resource can be used as an independent/class/extra/advanced practice, enrichment or homework assignment. Answer keys are included.

Students will practice solving trigonometric equations by the square root method with this activity. This includes 12 cards and 12 problems that require students to be skillful at solving basic trigonometric equations. The focus is on finding the primary solutions of a trigonometric equation on the interval (0, 2π]. Activity Directions: Partners work cooperatively to match each equation with its private solutions written on a card. They are instructed to record the equation in the middle of a card presenting its solutions. Then pupils should find cards with equivalent equations. They use the cards to determine three fours of equations having the same private solutions on the interval given and sort the cards into groups. A recording sheet is provided for students to give accountability to the teacher. All answer keys are included.

This activity practices solving incomplete quadratic equations by taking square roots. Almost all of the equations are in standard form. Solutions are rational (integers and fractions) and irrational numbers. The fun part is finding an idiom corresponding to each solution sets of the partners’ quadratic equations labeled with one and the same small alphabetic letter. Activity Directions: Students start solving their own set of twelve equations by the square root method. They are given tables to use. Using table 2, each partner finds which two words correspond to each solution set of his equations. At last partners together rearrange the words corresponding to their equations labeled with one and the same small alphabetic letter and find out an idiom. They find out 12 different idioms and write them in table 3. Answer keys are included.

This activity practices computing FINITE limits (a total of 12 various examples) involving rational functions, radicals and trigonometric functions. Students will apply the properties of limits and evaluate the limits algebraically by factoring, conjugate and substitution methods. They will also need to use some basic trig limits. The limits in this activity can all be found without L’Hopital’s rule. Activity Directions: Students have to compute 12 limits. They are asked to use a table given to find the mathematician’s name corresponding to each of their answers. If students find all the limits correctly, they will learn the names of mathematicians involved in calculus. All answer keys are included.

This is a collaborative partner activity on partial fractions decomposition. It takes each partner through 8 problems of the following types – rational fraction with denominator (ax+b)(cx+d) ax^2 +bx +c where the quadratic trinomial can be factored (ax+b)^2 (ax^2 +b)(cx+d) (ax+b)(cx+d)^2 (x+a)(x+b)(x+c) x(ax^2 +bx +c) as the quadratic trinomial can not be factored (ax^2 +c)^2 Partners corresponding problems are similar (problem 1A is similar to problem 1B, problems 2A is similar to problem 2B and etc). This activity can also be used as a review in AP Calculus BC or College Calculus 2 before the Techniques of Integration section on Partial Fraction. Answer keys are included.

In this matching activity, students will practice simplifying 15 trigonometric expressions using fundamental trigonometric identities such as Pythagorean identities, quotient identities and reciprocal identities. In each slide/page (the pages/slides with problems are 3) students are given 5 expressions to simplify and 6 answer choices. There is an empty text box next to each answer choice so students can record the letter of the problem next to its answer. Answer keys 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!

With this fun activity/multiple-choice game, students will simplify radical expressions using adding , subtracting, multiplying, division and raising (sum and difference) to the second power. There are given 9 “cards” with a challenging multiple choice question on each card. A picture of a wildcat corresponds to each problem. Students have 4 options for what could be the correct answer of their problem and respectively 4 corresponding options for the possible species of the cat. Students use their answers to identify what species are the wildcats. A student recording sheet is provided. Answer keys are included.

This is an engaging and collaborative partner activity in which students will use the formulas for arc length and sector area. There are 12 sections as in each partners are given a central angle θ in degrees and the radius r of a circle. In each odd section Partner A has to find the area of the subtended sector and Partner B has to calculate the length of the intercepted arc. And in each even section Partner A has to find the length of the intercepted arc and Partner B has to compute the area of the formed sector. This is a cute way to help students remember the formulas for arc length and sector area. Student may convert the degrees into radians and use the formulas A=0.5θ r^2 and s=rθ (θ must be in radians) or they can use the formulas A=(θ/360) πr^2 and s=(θ/360) 2πr ( here θ must be in degrees). The given central angle θ is <90 degrees ; 90<θ<180; 180<θ<270 and 270<θ<360 degrees. The activity instructions don’t require that students round to the nearest tenth/hundredth/thousandth so they may leave their answers with pi or they may use the pi button on their calculator to obtain the answers, depends on teacher’s decision. The activity sheets can be used as response sheets. Recording sheet where students to show their detailed calculations is provided as well. Answer keys are included.

These are two mazes - the one is red panda themed and is on finding the distance between two points and the other is Australian animals themed and is on finding the midpoint of a segment. Students start solving and use each answer to navigate through the maze. They can draw a line/curve to display their answer path. Answer keys are included. NOTE: This product is created as a Google Slides product. I have converted it to PDF item here.

This is an engaging matching activity on dividing polynomials (no remainders!). On each page/slide students are given 6 problems and 6 answer choices. Students can record the question numbers in the empty squares provided next to the answers to match each problem with its answer. There are a total of 12 problems. Dividends are 3th, 4th and 5th degree polynomials and divisors are 1st, 2nd and 3th degree binomials and trinomials. 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 is an engaging thanksgiving themed practice or turkey themed task cards/slides on solving systems of linear equations by substitution. The slides with problems are eight. On each slide there is given one system of linear equations. Students have to solve it and type their answers in boxes provided. Then students are asked to evaluate an expression of type ax+by for the value of the variables x and y that they have already obtained. Thus learners not only practice solving systems by substitution, but they “touch” on the method by which systems of linear equations are created. This product can be used as independent/extra practice, homework assignment. Answer keys are contained at the end of this document. Have a Happy and Blessed Thanksgiving Day! 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!