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How Many Stars are in the Sky?
In this star count worksheet, students solve three problems using a given polynomial and its logarithm to determine the number of stars in a given area.
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You Must Still Think Yourself, CAS Can Only Help
Have the class learn about and make conjectures about a line intersecting a cubic. In this making conjectures about a line intersecting a cubic lesson, students draw lines that intersect a cubic at three different points. ...
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The Quest for Roots of Higher Order Equations
Young mathematicians explore the concept of solutions to higher order equations as they find roots of polynomials of degree three or higher. They also use the zero function on the Ti-83 to locate zeros of polynomials on a graph.
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A Polynomial Quilt
Tenth graders create polynomial quilts. In this polynomials lesson, 10th graders use concrete models, such as construction paper, to create various shapes described. Students use the FOIL method to multiply terms and to get a square...
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Analyzing and Solving Polynomial Equations
In this polynomial equations worksheet, students identify the number of complex roots, real and imaginary roots, and the number of positive and negative roots. This four page worksheet contains 18 multi-step problems. Answers to the...
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Properties of Parabolas
In this properties of parabolas activity, students identify the vertex and the minimum and maximum value of each parabola. They graph parabolas on a coordinate plane. This four-page activity contains 14 problems. Answers are provided on...
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Equation Basics
In this equation basics worksheet, learners solve simple algebraic equations. This one-page self-checking worksheet may be completed on-line. If preferred, an answer sheet may be printed.
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Multiplying Binomials
For this binomials worksheet, students use FOIL to find the product of binomials. This two-page worksheet contains 18 problems. Answers are provided on the last page.
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Completing the Square
In this completing the square worksheet, learners solve problems by completing the square. They determine the value of the unknown in the binomial. This two-page worksheet contains 30 problems. Answers are provided on the last page.
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Introduction to Differentiation
In this introduction to differentiation instructional activity, students solve and complete 10 various types of problems. First, they use the definition of differentiation to evaluate the derivative of the functions listed. Then,...
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Further Differentiation
In this further differentiation worksheet, students solve and complete 7 various types of problems. First, they sketch the graph of each equation using a stationary point. Then, students find the stationary points of each and describe...
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Binomial Expansion
In this binomial expansion worksheet, students solve and complete 81 various types of problems. First, they find the given sum and evaluate each factorial notation. Then, students expand each binomial and write only the coefficients....
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Simplifying Fractions
In this simplifying expressions worksheet, students solve and complete 16 various types of problems. First, they express each expression as a single fraction in simplified form. Then, students perform the indicated operations. In...
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Polynomials
In this polynomials worksheet, students solve and complete 16 different types of problems. First, they solve each of the fractional expressions shown. Then, students factor each polynomial and find their roots. In addition, they write an...
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The Remainder and Factor Theorems
In this remainder and factor theorems worksheet, 11th graders solve and complete 10 different problems. First, they divide using synthetic division and write their answer in the form given. Then, students use synthetic division to find...
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Factoring #6
In this problem solving worksheet, 6th graders practice factoring 10 polynomial mathematical equations involving addition and subtraction.
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Factoring #7
In this problem solving instructional activity, 6th graders solve 10 mathematical equations involving factoring polynomials using addition and subtraction.
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Polynomial Functions
In this polynomial functions worksheet, 11th graders solve and complete 8 different problems that include various polynomial functions. First, they define a polynomial function. Then, students write the polynomial part in standard form...
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Number Sense and Operations
In this number sense and operations worksheet, 9th graders solve and complete 15 various types of multiple choice problems. First, they evaluate a few different functions shown. Then, students write numbers given in scientific notation....
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Factoring Polynomials
In this factoring polynomials worksheet, 9th graders solve and complete 33 different multiple choice problems. First, they determine the equation that best represents a simplified form after factoring out the GCF. Then, students...
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Special Products
In this special products worksheet, 9th graders solve and complete 28 different problems that include using special products to multiply certain polynomials. First, they write each binomial twice and multiply using the FOIL method or the...
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Verbal and Algebraic Expressions
In this expressions activity, learners solve and complete 30 various types of problems that include defining both verbal and algebraic expressions. First, they translate each verbal expression into an algebraic expression and vice verse....
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Polynomials
For this polynomials worksheet, 9th graders solve and complete 21 different problems that include determining the various types of polynomials. First, they find the degree of each polynomial. Then, students arrange the terms of each...
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Multiplication and Division of Rational Expressions
In this rational expressions worksheet, learners solve and complete 20 different problems that include multiplying and dividing rational expressions. First, they multiply or divide to simplify each result. Then, students factor the...