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.

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.

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 coloring activity provides students with 12 problems. Students will solve multi-step equations. 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 key is included.

This coloring activity provides students with 12 problems. Students will solve multi-step inequalities. 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 key is included.

This coloring activity provides students with 12 problems. Students will multiply and divide complex numbers. 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 solve absolute value inequalities. 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 key is included.

This coloring activity provides students with 12 problems. Students will write linear equations in slope-intercept form given the slope and a point. 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 key is included.

This coloring activity provides students with 12 problems. Students will find the slope of a line from its equation given in non-standard form. 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 key is included.

This coloring activity provides students with 12 problems. Students will factor polynomials by grouping (three polynomials are with one variable x, six polynomials are with two variables x and y, and three polynomials contain four variables x,y,a and b). 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 key is included.

This coloring activity provides students with 12 problems. Students will solve quadratic inequalities with one variable. 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 key is included.

This coloring activity will engage students with 12 problems. Students will find 6 sums and 6 differences of angles given in radians and will convert the obtained result from radians to degrees. 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 key is included.

These are 12 cards on simplifying and evaluating algebraic expressions. The expressions given are all linear. Students have to combine like terms to simplify them (cards 1-6). On cards 7-12 students will need first to apply the distributive property and then to combine like terms. There is an expression on each card with three subtasks (for maximum three partners if you use these cards for group activity). Each subtask is evaluating the simplified expression for a given value of the variable x in it. In subtask A - the value of the variable is an integer, in subtask B the value of the variable is a rational number fraction and in subtask C the value of the variable is a rational number mixed number. Students are provided with empty boxes where to type their answers. This activity can be also used as an independent practice! Answer keys are included. NOTE: This product is created as a Google Slides product. I have uploaded it in PDF format here.

In this engaging and self - checking activity students will practice finding general solutions to 12 differential equations. The problems are of various difficulty and require using separation of variables and integration. There are 12 task cards – recording sheets with space provided for students to show their work. After finding the general solution, students must fill in the missing function f(x) for the answer given coded at the bottom of the card. The product is great for independent practice and it is appropriate for cooperative work as well. It can be possibly used as a partner or a group activity. Answer keys are included.

In this engaging and self - checking activity students will practice finding particular solutions to 12 differential equations. The problems are of various difficulty and require using separation of variables and integration. There are 12 task cards – recording sheets with space provided for students to show their work. After finding the particular solution, students must fill in the missing function f(x) for the answer given coded at the bottom of the card. The product is great for independent practice and it is appropriate for cooperative work as well. It can be possibly used as a partner or a group activity. Answer keys are included.

This coloring activity provides students with 12 problems. Students will compose functions as the functions included are polynomial, radical and rational. Students are given f(x) and g(x) and have to find f(g(x)) or g(f(x)). 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 key is included.

This is an engaging multiple-choice extra practice/review on properties of logarithms. The included problems are 30 each having five optional answer choices. Students will have to find which of following statements is true which of following statements is not true which of following numbers is positive/negative/greatest/smallest the value of a logarithm to what is equal an expression given to express a logarithm in the terms of a and b where a and b are also logarithms Please view the preview to see all the problems included. There are not provided empty boxes where students to write down their findings so students can use a separate sheet of paper to show work. Answer key is included.