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Diophantus II

For Teachers 9th - 12th
High schoolers use an ancient math game to establish the context for solving problems by investigating them in a systematic and mathematical way. They also need to have the ability to solve various types of equations.
Lesson Plan
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Scientific Notation

For Teachers 9th
In this algebra worksheet, 9th graders rewrite exponential numbers using scientific notation and condense the equations and expand using the standard form. There are 6 word problems applying the use of scientific notations.
Worksheet
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Evaluate Using Power Rule

For Students 9th - 10th
In this algebra activity, students solve exponential logarithmic equations. They find the base or the exponent of the problem using logarithmic properties. There are 5 questions with an answer key.
Lesson Plan
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Differential Equations and Population Growth

For Teachers 9th - 10th
Students determine the size of the population at a given time. They calculate the time at which the population will be a given number. They observe how the population grows at the rate that is directly proportional to the number of...
Lesson Plan
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M&M Exponential Activity

For Teachers 10th - 12th
Students create a scatter plot of their experimental data. In this algebra instructional activity, students use M&M's to determine an algebraic model. They discuss results in class.
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Species Interactions

For Teachers 11th - Higher Ed
Students study the scientific concepts of biodiversity and conservation through the use of basic equations of population growth and hands-on experiments/simulations. The instructional activity includes a take-home assignment which can be...
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Logarithms

For Teachers 11th - 12th
For this pre-calculus worksheet, learners write equations in exponential form and logarithmic form.  Students solve and graph logarithmic equations.  The two page worksheet contains eighty-six problems.  Answers are...
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Properties of Logarithmic Functions

For Teachers 8th - 10th
Students solve exponential functions. In this algebra instructional activity, students identify the properties of logarithmic and exponential functions. They graph their functions and solve using change of base formula.
Worksheet
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Math 321 Spring 98. Complex Numbers

For Students Higher Ed
In this complex numbers instructional activity, students find the solutions to polynomials and write them in rectangular and exponential form. This two-page instructional activity contains two problems.
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Exploring Function Graphs

For Teachers 10th
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.
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Curve Fitting and the TI-85 Calculator

For Teachers 7th
Seventh graders follow a step-by-step guide for using graphing calculator to determine equations which best fit data graphed. They gather data from various sites on the web, or they do searches to find information necessary to complete...
Lesson Plan
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How popular is your favorite site?

For Teachers 7th - 12th
Students gather data for the project for the entire year. They plot their data, try to fit a equation to their data, and speculate on why the data shows the pattern it does and project its future growth.
Worksheet
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Properties of Logarithms

For Students 11th
In this algebra instructional activity, 11th graders apply the 3 properties of logarithms to solve equations by expanding or condensing them. There are 4 problems to solve.
Worksheet
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Math 155 - Worksheet 5. Derivative

For Students Higher Ed
In this derivative learning exercise, students find the derivative of given functions and find the equation of a tangent line to a curve. They differentiate functions and work velocity and acceleration functions. This two-page learning...
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Composite Functions

For Teachers 8th - 10th
Young scholars create a poster to explain composite functions. In this composite function worksheet, students explore linear equations and functions. They complete a worksheet and use manipulatives to complete problems.
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Get a Half-life!

For Teachers 9th - 12th
Students explore decay functions and the half-life of a substance. Through an M&M activity with calculators, students collect and graph data. They determine the linear, quadratic and exponential functions of the graph. Students...
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Worksheet Chapter 5 College Prep Algebra

For Teachers 10th - 12th
In this algebra worksheet, students evaluate algebraic expressions, simplify exponents, write numbers in scientific notation, perform division of equations, and find the area of given problems. This worksheet contains 75 problems and an...
Interactive
Shodor Education Foundation

Sequencer

For Students 9th - 12th Standards
Take the first step into graphing sequences. Learners set the starting number, multiplier, add-on, and the number of steps for a sequence. Using the inputs, the interactive calculates and plots the sequence on the coordinate plane. Users...
Worksheet
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Negative Exponents Worksheet

For Students 9th - 10th
In this negative exponent worksheet, students solve equations with negative exponents. They explore changing negative exponents to positive ones. Students simplify given problems changing them from exponential form to standard form. ...
Worksheet
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New Functions From Old, Part 1

For Students Higher Ed
In this function worksheet, students use various methods to solve functions. They explore the logarithm function, the derivative of an exponential function, and compose a function with a linear equation. This four-page worksheet...
Worksheet
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Indices and standard Form

For Students 8th - 10th
In this indices and standard form instructional activity, students convert numbers from exponential notation to standard notation. Positive and negative exponents are included. This two-page instructional activity contains 30 problems....
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Weighing Time

For Teachers 9th - 12th
High schoolers devise a strategy to solve problems that is done in a systematic and mathematical fashion. The finding of the unknown value is the focus of the lesson. To solve linear equations proficiently is the skill of the lesson.
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The Lady's Age

For Teachers 9th - 12th
Learners use a game to establish the context of solving problems in a systematic and mathematical fashion. They also solve various types of equations to find reasonable solutions.
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Parent Functions Reference

For Teachers 11th - Higher Ed
In this functions worksheet, pupils explore the graphs of fifteen parent functions.  This worksheet is meant as a reference for students.

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