Mathematics Assessment Project
“Ponzi” Pyramid Schemes
Use mathematics to show your classes the power of a good model. Young mathematicians analyze the famous Ponzi pyramid scheme using an exponential pattern. They make conclusions on the reliability of the plan and why it is illegal.
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Powers and Roots of Complex Numbers
Explore a few powers of complex numbers numerically and decide if there is a pattern and use parametric equations to represent a complex number graphically. Use De Moivre's theorem to represent the roots of the complex number...
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Greatest Common Factor: Practice
In this greatest common factor worksheet, students list the factors for each number and find the greatest common factor of the numbers. Students then write the prime factorization using exponents of each number and find the greatest...
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Squaring Function of Natural Numbers
Eighth graders complete problems where they use the definition of exponents to expand the squaring function of natural numbers. In this squaring natural numbers lesson plan, 8th graders also identify squares form 0 - 12 and complete a...
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The True Cost of Owning a Car
Almost every teen wants a car, but can they really afford one? The instructional activity walks pupils through how to identify a budget, find all of the costs associated with car ownership, and determine if they should buy the car or...
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New York State Testing Program - Mathematics Test Book 1 6th Grade
In this 6th grade math worksheet, 6th graders solve 25 multiple choice questions. Students determine coordinate of figures, use units of measure, expand exponents, etc.
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Powers
In this powers worksheet, learners multiply and divide expressions containing variables and exponents. They convert numbers from scientific notation to standard notation. This two-page worksheet contains 5 multi-step problems.
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Solving Exponential and Logarithmic Equations: Section 8.6
In this exponent and logarithmic equation worksheet. learners solve equations containing exponential notation and logarithmic functions. Examples are given prior to the students assignment. There are 32 problems on this two-page worksheet.
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The "Very Testing" Teacher
In this math worksheet, students find the solutions to the problems by converting the numbers into the exponential equivalents.
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Comparison of Numbers Written in Scientific Notation and Interpreting Scientific Notation Using Technology
Examine numbers in scientific notation as a comparison of size. The 14th lesson in the series asks learners to rewrite numbers as the same power of 10 in scientific notation to make comparisons. Pupils also learn how to use a calculator...
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Exploring Power Functions 1
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
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Graphs of Formulas
In this instructional activity students fill out a function table after reading a short word problem. This is a good way for students to practice the necessary skills for solving word problems or setting up algebra equations.
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Algebra Pinball
Students explore a website to practice math skills. In this algebra activity, student go to Carol Fisher's web-page where there are explanations and games to follow along with an entire year of algebra.
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Exponential vs. Power
Pupils differentiate between exponential and power functions. They identify the base, exponent and properties of exponential functions. They also graph the functions using the TI calculator.
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Solving Exponential Equations
Solving exponential and logarithmic equations is taught in this interactive lesson. Students use properties of logarithm and exponents solve functions. They estimate the solution and use the Ti to find the exact solution.
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Multiplicity of Zeros of Functions
Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.
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New York State Testing Program: Mathematics Test Book 2
In this mathematics test book, learners answer problems dealing with topics covered during the year. They solve problems dealing with percent, probability, properties, and interpreting graphs. This sixteen page worksheet contains...
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Exponential Functions f(x) = abx
Students define exponential functions and graph the equation. In this algebra instructional activity, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
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Scientific Notation III: Linear vs Exponential
Learners after investigating examples of exponential growth students have an intuitive feel for the concept of exponential growth of a system.
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Approaching Limits
With the assistance of their Ti-84/Ti-83 Plus calculators, students develop a foundation for the limiting process as well as estimate limits from graphs and tables of values. They view how a function behaves as the input approaches a...
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Division of Monomials
Students relate the division of monomials to multiplication. In this division of monomials lesson plan, students divide monomials by factoring and dividing common factors from the originals. They check their answers by multiplication. As...
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Multiplying Polynomials
Investigate polynomial multiplication with the TI-nspire handheld calculator. Using the applications on this calculator, learners explore multiplication of numbers, binomials, a binomial by a polynomial, and polynomials. The dynamic...
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Greatest Common Factor: Reteach
In this greatest common factor worksheet, students review the different ways to find the greatest common factor for numbers including listing all the factors and finding prime factorization with factor trees. Students then list the...
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Solving Equations Reducible to Quadratic: Extra Practice 34
In this math worksheet, students solve problems involving radicals in six problems. The other ten problems require students to factor quadratic equations and solve for the given variable. Two problems involve negative exponents.