College Board
1999 AP® Calculus BC Free-Response Questions
Get a 20/20 view of the exam. Free-response questions from the 1999 Calculus BC exam provide an insight to the exams. Pupils review the questions to see how topics show up on the test. Topics range from particle motion along a function,...
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Quadratic Formula
Mathematicians determine the solutions of a quadratic function by looking at a graph. They use the quadratic formula to solve quadratic functions on their Ti-Nspire.
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Factoring Trinomials
Students factor trinomials correctly. In this algebra lesson plan, students review the rules for factoring trinomials. They factor different polynomials as they relate the same concept and idea to facoring trinomials.
Illustrative Mathematics
The Missing Coefficient
This activity highlights the use of the remainder theorem to solve for the unknown coefficient of a specified polynomial when given one of its factors. Use this single problem as a warm-up exercise, a quick check-in at the end of a...
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Sum of Integers
In this sum of integer worksheets, students formulate and prove the sums of cubes. They explore a quadratic polynomial, cubic polynomial and solve with systems of equations. This two-page worksheet contains eleven problems.
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Factoring Special Binomials and Trinomials
In this factoring special binomials and trinomials worksheet, learners multiply two sets of binomials. They answer 7 true/false questions. Students factor 57 polynomials. They divide two pairs of binomials. There are 60 problems in all.
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Trina's Triangles
Practice evaluating polynomial expressions at the same time you find Pythagorean Triples. Look for patterns and find examples when the "formula" does and doesn't work. Finally, verify the formula by proving the identity true.
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Factoring Perfect Squares
In this factoring activity, students factor perfect squares. Explanations and examples are provided at the beginning of the activity. This two-page activity contains ten problems.
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X-Intercepts
In this x-intercepts, students explore the equations of a line, set "y" equal to zero to determine the x-intercept. Explanations and examples are provided. This two-page worksheet contains ten problems.
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Area and dimensions
Sixth graders study the concepts of area and dimensions. For this area and dimensions lesson, 6th graders work in pairs to complete the handout included that illustrates ways to represent various numbers. Students also determine what...
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FOILing
Students practice using the FOIL acronym as a procedure for multiplying two binomial expressions. FOIL occurs by multiplying the First terms, Outside terms, Inside terms and Last terms.
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Dividing Monomials
In this monomials worksheet, 9th graders solve and complete 14 different problems that include dividing various monomial expressions. First, they divide the powers with the same base and subtract the exponents. Then, students simplify...
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Polynomials
In this exponents worksheet, students find the number or equation with variables that involve exponents. Students complete 25 questions.
Math eBook
Binomial Coefficient
For this binomial coefficient instructional activity, learners identify the binomial coefficient in each polynomial expansion given. This four-page instructional activity contains 20 problems. This interactive instructional activity may...
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Factoring Test
In this algebra worksheet, high schoolers simplify monomials, perform basic operations on two polynomials, and factor binomials and trinomials. There are 20 questions and a bonus.
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Factorize
In this Algebra I/Algebra II worksheet, students factor polynomials by determining the greatest common factor. The one page worksheet contains seven problems. Answers are provided.
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Quadratics: Polynomial Form
Learners determine how changes in the coefficients in a quadratic function affect its graph. They Solve a quadratic equations. Students Determine how to use the equation to determine the intercepts of a quadratic function. They...
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Factoring #5
In this factoring worksheet, students solve 10 fill in the blank problems where they factor trinomial equations into a product of factors.
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Complex Analysis: Complex Exponential
In this complex exponential worksheet, students answer questions about the characteristics of a function. They sketch the image in a coordinate plane. This two-page worksheet contains six problems.
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Algebra I: Multiplying Polynomials and Factoring
Students use concrete models (algebra blocks) to demonstrate their processes for solving quadratic equations. They apply the commutative, associative, and distributive properties to simplify algebraic expressions and to solve quadratic...
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Chapter 11 - Objective 2.1 - Completing the Square
In this completing the square worksheet, students simplify given equations by completing the square. This one-page worksheet contains ten problems.
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Chapter 7 - Objective 3.1 - Distributive Property
In this distributive property worksheet, students use the distributive property to solve given equations. This one-page worksheet contains eight problems.
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Chapter 8 - Objective 4.1 - Factoring
In this factoring worksheet, students simplify equations through factoring. Equations contain exponents and coefficients. This one-page worksheet contains ten problems.
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Chapter 8 - Objective 1.1 - Factoring
In this factoring worksheet, students factor equations containing exponents and two to three terms. This one-page worksheet contains ten problems.
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