EngageNY
End-of-Module Assessment Task — Precalculus (Module 1)
A transformational assessment determines how far pupils are advancing toward mastering complex and matrix standards. The assessment checks the learners' understanding of linear transformations, complex numbers and the complex plane,...
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Complex Numbers
In this complex numbers worksheet, 9th graders solve 10 different problems that include addition and subtraction of these numbers. First, they add or subtract the coefficients of similar terms algebraically. Then, students remove the...
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Complex Numbers
In this complex numbers worksheet, 9th graders solve 10 different types of problems that include complex numbers in standard form. First, they state the values of the a and b components for each complex number when the number is in a...
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Mathematics B: High School Exam
In this mathematics worksheet, students solve problems about numerous high school topics including trigonometry, algebra, and pre-calculus. This worksheet contains, but is not limited to, radicals, inverse functions, transformations, and...
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Square Roots
In this square roots activity, 9th graders solve 10 different problems that include simplifying with negative numbers. First, they identify the negative number in each equation and pull out from under the radical sign as i. Then,...
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Iterating the Function and Complex Numbers
Students identify the end behavior of polynomial graphs. For this algebra lesson, students factor and solve quadratic and complex equations. They factor out negative roots and identify the real and imaginary parts of an equation.
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Solving Quadratic Equations by Completing the Square
In this solving quadratic equations worksheet, students complete the square to tell the possible answers for 18 equations. 4 answers involve the square root of -1 (i).
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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra lesson, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
EngageNY
Polynomial, Rational, and Radical Relationships
This assessment pair goes way beyond simple graphing, factoring and solving polynomial equations, really forcing learners to investigate the math ideas behind the calculations. Short and to-the-point questions build on one another,...
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A Geological Puzzle
Learners compare and contrast the various types of rocks on each continent. In groups, the calculate the rock ages and types to determine if the continents, in their opinion, were joined at one time. They develop two imaginary...
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Complex Number
In this algebra worksheet, students identify the vertex of a quadratic functions. They identify complex numbers. There are 6 questions.
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Exponents
In this Algebra II activity, 11th graders use the laws of exponents to simplify expressions. The exponents include fractions, variables, radicals, and imaginary numbers. The one page activity contains thirty-four problems. Answers are...
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Cyclic Nature
In this cyclic nature worksheet, 11th graders solve 10 different problems that include the powers of i. First, they use the patterns shown for the powers of i to solve. Then, students find any remainders when dividing. They also simplify...
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Sudorku
In this sudoku puzzle worksheet, students evaluate 28 expressions with answers resulting in values of 1-9. Students solve the sudoku puzzle by filling in the missing numbers.
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Solving Quadratic Equations By Factoring
In this algebra worksheet, students solve quadratic equations by factoring and foiling. There are 20 problems, including 2 real world application problems.
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Graphing at all Levels: It's a Beautiful Thing!
Mixing math and art is done in this lesson by applying graphing knowledge to create a unique piece of art. This lesson varies acording to the graphing knowledge of the artist. First, learners identify and review various types of graphing...
Virginia Department of Education
Quadratic Equations
Review the multiple methods of solving quadratic equations through an analysis of the discriminant. Scholars use the discriminant to determine the best solution method and then solve various equations. As a challenge, learners build...