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Linear Systems: Applications of Linear Algebra to Differential Equations

For Students 12th - Higher Ed
In this differential equations worksheet, students solve systems of simultaneous differential equations using linear algebra. This six-page worksheet contains approximately six problems, with explanations and examples.
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Law of Sines

For Teachers 10th - 12th
Students solve problems using sine and cosine. In this precalculus lesson, students ask questions about the Law of sines and its application to the real world. They derive the correct formula of sine for each problem.
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The Multiplier (larger 2-digit by 1-digit numbers)

For Teachers 5th - 7th
Students utilize number sense applications to multiply two digit numbers. They use "The Multiplier" and Internet source to partition and solve 2 digit by 1 digit multiplications. Students describe how to solve 2-digit by 1-digit...
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The Quadratic Formula

For Teachers 7th - 10th
Students solve quadratic function by completing the square. In this algebra activity, students use the quadratic formula to factor quadratics and find the roots. They graph the parabola and identify its properties.
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Linear and Quadratic Approximations

For Teachers 11th - 12th
Students explore a linear, a parabolic, and a log function.  In this Algebra II/Pre-calculus lesson students investigate the graph a line, a parabola, and a log function.  Students examine the three graphs as they compare and...
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Worksheet 5

For Students 11th - Higher Ed
In this math worksheet, students describe how to define surface area given a variety of situations from word problems. They solve for the volume using calculus.
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Numerical Analysis

For Students 11th - Higher Ed
In this math worksheet, students practice analyzing iterative methods. Then they use the reading to practice problem solving focusing upon convergence.
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Math 155 - Worksheet 10. Logarithm

For Students Higher Ed
In this logarithm worksheet, students read story problems, write an equation to solve the problem, and leave the answer in logarithm or exponential form. They find the derivative of given functions. This two-page worksheet contains six...
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Linear Functions

For Students 10th - 12th
In this linear functions worksheet, students problem solve and calculate the answers to five linear equations associated with volume, point-slope forms, initial value forms and slope-intercept forms.
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Balance Equation

For Students 11th - Higher Ed
In this balance equations worksheet, students write the charge balance equation for different compounds dissolved in water. Students rank the concentrations of ions and neutrals at equilibrium for solutions formed. This worksheet has 21...
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Properties of Logarithms

For Students 11th
For this algebra worksheet, 11th graders apply the 3 properties of logarithms to solve equations by expanding or condensing them. There are 4 problems to solve.
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More of DeMoivre's Theorem

For Teachers 10th - 11th
Students identify DeMoivre's Theorem. In this precalculus lesson plan, students derive the law of sine and cosine as it relates to DeMoivre's Theorem. They identify the best time to use these formulas.
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Unit Circle

For Teachers 10th - 12th
Students investigate the different properties of a unit circle. In this geometry lesson, students identify the six different values of trigonometric functions. They solve trigonometric equations using values derived from the unit circle.
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Velocity, Position, Distance

For Teachers 9th - 10th
Students solve problems involving motion and distance. In this calculus lesson, students use to derivative to calculate the velocity-of a function. They observe objects moving along a straight line.
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polyhedron

For Teachers 3rd - 6th
Students examine the different types of polygons and their characteristics. In this polyhedrons lesson plan, students discuss the derivations of specific models of polyhedrons. Students work in pairs to make a copy of a polygon...
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L'Hopital's Rule

For Teachers 11th - 12th
Students solve limit problems.   In this solving limit problems lesson, students use L'Hopital's Rule.  Students apply L'Hopital's Rule to functions as long as the derivative of the top function and bottom function is...
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Areeas of Parallelograms and Triangles

For Teachers 12th
Twelfth graders are able to deduce the area of polygons by using several methods such as coordinate method. They are able to apply the area of polygons to real life situations. Students apply the Pythagorean Theorem in problem solving...
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Estimating With Fractions

For Teachers 7th
Seventh graders, exploring methods to estimate fractions, take notes on estimating fractions, 7th graders write letters to explain the process of estimating fractions and mixed numbers to someone who does not know the concept. Students...
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Introduction to Substitution

For Students 11th - Higher Ed
in this math worksheet, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Stoichiometry

For Students 10th - Higher Ed
In this stoichiometry worksheet, students review concepts related to stoichiometry including molar ratio and conservation of matter. Students calculate the number of mole is specific reactions. This worksheet has 7 fill in the blank, 5...
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The Corner Problem

For Teachers 11th - Higher Ed
Students explore the concept of the corner problem. In this corner problem lesson, students use the TI-NSpire to determine the maximum length a rod can be and still pass horizontally around a corner. Students use similar triangles to...
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Time Trials

For Teachers 8th - 10th
Students investigate speed, time and distance. In this algebra lesson plan, students utilize their knowledge of linear equations to solve problems related to time, speed and distance. This assignment is hands on using two toy race cars.
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A.P. Calculus BC Section II, Part A and Part B

For Students 12th - Higher Ed
In this A.P. Calculus BC worksheet. students solve six practice problems.  A graphing calculator is required on the first three questions and not allowed on the next three.  Directions are provided.
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Operations of Complex Numbers and Intro to DeMoivre's Theorem

For Teachers 9th - 10th
Students solve problems with complex numbers. In this algebra lesson, students factor complex numbers and simplify equations using DeMoivre's Theorem. They add, subtract, multiply and divide using negative roots.