These are 4 pages of notes, worked out examples and practice problems on factoring special products of polynomials. The first 2 pages are on factoring perfect square trinomials and the last 2 pages - on factoring a difference of perfect squares. First, it is given a definition of pefect square trinomial/ difference of perfect squares. There are given examples that illustrate the definition. Students are encouraged to give their own examples. Then the steps how to factor a perfect square trinomial/difference of two squares are given followed by three worked out examples. Students have another three very similar problems to the worked out to solve them by their own. There are another 4 problems for students to practice the concept. At the end a mixed practice of 5 mixed problems is provided. Students have enough space to show work on the worksheets.

This is EASTER themed maze on solving quadratic equations in vertex form with real roots. Students start solving and use each answer to navigate through the maze. Students will need to solve 15 problems properly to complete the maze. Students draw on the worksheet to display their answer path. It would be nice if students show work on this activity. Student recording sheet is provided. Answer keys are included.

This is a fun self-checking circuit activity on solving nonlinear systems of equations. There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Answer keys are included.

This is a self-checking circuit activity on adding and subtracting rational expressions. There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the 11 problems before returning to the start point. Answer keys are included.

This is a fun self-checking circuit activity on solving trigonometric equations of quadratic type. There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Detailed typed answer keys are included.

This is a self-checking circuit activity on simplifying rational expressions. There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the 12 problems before returning to the start point. Answer keys are included.

This is a fun self-checking circuit activity on evaluating limits algebraically (rational, radical and trigonometric functions included). There is provided enough space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Full typed solutions are included.

This is a self-checking circuit activity on determining the domain of rational functions. There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the 15 problems before returning to the start point. Answer keys are included.

This is a self-checking circuit activity on expanding logarithms (logarithmic expressions). There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Answer keys are included.

This is a fun self-checking circuit activity on solving polynomial equations with real roots (real zeros of polynomials). Polynomials of third, fourth and fifth degrees are included. All equations have distinct roots! There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Detailed typed answer keys are included. (I have solved the problems using Horner’s Method).

This is a self-checking circuit activity on finding the range of a quadratic function. There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Typed solutions are included.

This is a self-checking circuit activity on finding the first derivative of a function at a given point (the chain rule is required). The functions included are polynomial, rational, radical, exponential, logarithmic, trigonometric and inverse trigonometric. There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are four) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the 15 problems before returning to the start point. Answer keys are included.

This is a self-checking circuit activity on solving logarithmic equations (extraneous solutions included). There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Answer keys are included.

This is a self-checking circuit activity on dividing polynomials using long division (polynomials from 2nd to 7th degree are included). There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Answer keys are included.

This is a self-checking circuit activity on inverse functions (linear, quadratic, radical and rational functions are included). There is provided space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Answer keys are included.

This is a fun self-checking circuit activity on side-splitter theorem containing 11 problems each of them with a diagram. Some of the problems are more challenging. There is provided enough space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Full typed solutions are included.

This is a fun self-checking circuit activity on geometric mean in right triangle (including the altitude and leg rules) containing 14 problems. There are given the values of two elements in a problem as example given one leg and hypotenuse and students have to find the other four elements - the other leg, the projection of the legs on the hipotenuse and the altitude on the hypotenuse. Some of the problems are more challenging and require writing and solving a quadratic equation. There is provided enough space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are five) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Full typed solutions are included.

This is a fun self-checking circuit challenging activity on perpendicular bisector containing 11 problems. Each problem is a word problem goind along with a diagram. There is provided enough space for students to show work on the pages. Activity directions: Students begin with the problem #1, solve the problem, find the answer somewhere else on the pages ( which are three) and write “2” in the blank. Then student solve that problem (#2), search for the answer again and when find it write “3” in the next blank. Students continue in this manner until they return to the problem #1. They should solve all the problems before returning to the start point. Full typed solutions are included.

These are 10 Algebra 2/Pre Calculus warm-ups, do-nows, bell-ringers, entrance/exit tickets or mini-quizzes/mini homework on polynomial equations and inequalities. Each of them is a half-sheet in size and contains to 6 problems (excluded is only one containing 4). Topics included: Polynomial Equations with Real Roots Dividing Polynomials with Long Division Evaluating Polynomials Using Horner’s Rule Factoring Polynomials (Using Horner’s Rule and Finding the Zeros) Forming Polynomials Given the Roots Polynomial Equations with Complex Roots Polynomial Equations in Factored Form Polynomial Inequalities in Factored Form Polynomial Inequalities in Standard Form Partial Fraction Decomposition Answer keys are included.

These are 15 Algebra 2/Pre Calculus warm-ups, do-nows, bell-ringers, entrance/exit tickets or mini-quizzes/mini homework on quadratic functions, quadratic inequalities, system of quadratic inequalities and nonlinear systems. Each of them is a half-sheet in size and contains from 4 to 6 problems. Topics included: Axis and Vertex of a Quadratic Function Vertex Form of a Quadratic Function Domain and Range of a Quadratic Function X- and Y- Intercepts of a Quadratic Function Monotonicity Intervals of a Quadratic Function Maximum and Minimum Values of Quadratic Functions Nonlinear Systems (Linear-Quadratic) Nonlinear Systems (Quadratic-Quadratic) Solving Nonlinear Systems Graphically Graphing Quadratic Inequalities in Two Variables (two warm-ups) Solving Quadratic Inequalities in One Variable Algebraically Graphing Systems of Quadratic Inequalities in Two Variables (two warm-ups) Solving Systems of Quadratic Inequalities in One Variable Algebraically Answer keys are included.