Illustrative Mathematics
Zeroes and Factorization of a General Polynomial
These four problems will guide your class through the idea behind the Fundamental Theorem of Algebra, which states that a polynomial of degree n has exactly n roots. Use the division algorithm and the definition of a zero/root of a...
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Composite Functions and Inverse Functions
For this function worksheet, students complete five lessons all with exercise sets, examples, and definitions, and one set of miscellaneous exercises. The concepts covers include: composite functions, inverse functions, graphs of...
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Discovery Research of Quadratics
Students investigate the properties behind the quadratic equation. In this algebra lesson plan, students identify quadratic equation in the real world. They graph the parabola and identify the vertex and intercepts.
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Matrices: A Secret Weapon
Students perform operations with matrices. In this algebra lesson, students use cryptography and cryptanalysis to solve problems. They add, subtract, and multiply matrices.
Ms. Amber Nakamura's Mathematics Website
Algebra Project
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
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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...
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Fundamental Theorem of Algebra
In this worksheet, learners identify the Fundamental Theorem of Algebra. They solve polynomial functions and simplify expressions and equations.
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Adding and Subtracting Rational Expressions
In this algebra worksheet, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.
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Probability of an event Occurring
In this probability worksheet, 11th graders calculate what the probability of the color of shirt someone is wearing is. There is a solution key with this problem.
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Info. From a Graph
In this graphing worksheet, students answer 13 questions about 3 graphs. Students determine the degree, roots, y-intercepts, inflection points, multiplicity, etc. of three different graphs.
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Finding the Area Under A Curve with Random Probability
Students explore the concept of area under a curve. In this area under a curve lesson, students find the area under a curve using the Monte Carlo method using random points and probability. Students calculate the area under the same...
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Phasor Mathematics
In this mathematics learning exercise, students solve 13 questions on series, factorial, phase mathematics and calculus. They define what phasor means.
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Linear Computational Circuitry
In this electrical worksheet, students draw a schematic design circuit board to grasp the understanding amplification in linear circuitry before answering a series of 35 open-ended questions pertaining to a variety of linear circuitry....
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Boolean Algebra
For this physics worksheet, students complete circuit true tables and solve 67 questions on Boolean algebra. They identify different logic gate circuits.
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Precalculus Exam
In this precalc lesson, learners write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Proving the Pythagorean Theorem
Students solve problems using the pythagorean Theorem. In this geometry lesson, students complete proofs using the Pythagorean Theorem. They share their proofs and solutions with their classmates and family members.
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Real Life Challenge
Students solve word problems using words and mathematical symbols. In this algebra lesson plan, students verbalize what they do to arrive at their answers. They set up their problems algebraically as they apply their knowledge of math to...
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Carrying Capacity of Ecosystems
Students define population and carrying. In this algebra lesson, students explore exponential growth and decay based on animals and things that grow or decrease exponentially. They graph their findings and discuss their results as they...
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Market Changes
Students explore the role of government in the economy market. In this economics lesson, students analyze the decision making and how it takes into consideration additional cost, benefits and public awareness of what they are trying to...
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Applications of Triangles
Students apply the properties of a right triangle. In this triangle instructional activity, students describe and compare radians to degrees. They solve problems using the properties and ratios of a right triangle.
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Piecewise Linear Integral
Young mathematicians solve and graph piecewise functions in this calculus lesson. They integrate linear functions containing restrictions and graph their answers using the TI.
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Connect the Mathematical Dots
Teachers can choose visual activities that demonstrate the elegance associated with the coordinate plane.
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Math 312. Harmonic Functions
In this harmonic function worksheet, students use the Cauchy-Riemann equations to find the imaginary part of the function. They explore the harmonic conjugate and solve a 2-dimensional Laplace equation. This two-page worksheet contains...
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Math 312 Spring 98 - Cauchy's Residue Theorem
In this Cauchy's Residue Theorem, students use the theorem to solve given functions. They evaluate integrals. This two-page worksheet contains two problems.
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