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Mathematices: Pre-Calculus

For Teachers 11th - 12th
Students relate polynomials to real life situations. For this algebra lesson, students graph equations through modeling and data collection. They must be comfortable doing word problems.
Worksheet
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MT-141 Precalculus - Worksheet 6.4(b)

For Students 10th - 11th
In this precalculus instructional activity, students complete horizontal shift identifies. They graph functions, solve trigonometric equations using algebra, estimation and with the use of a graphing calculator. Students find the...
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Calculus: Graphical, Numerical, Algebraic

For Teachers 10th - 12th
Students explore the interplay between the geometric and analytic information and on the use of calculus both to predict and to explain the observed local and global behavior of a function. They write a paragraph describing any...
Worksheet
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Inverse Relations

For Students 11th
In this Algebra II instructional activity, 11th graders graph functions on a coordinate plane. Students determine values for which the function is undefined and explore reciprocal functions. The one page instructional activity...
Lesson Plan
Pennsylvania Department of Education

Creating Polygons

For Teachers Pre-K - 2nd
Students describe, make and compare polygons. In this creating polygons instructional activity, students identify properties of quadrilaterals and describe common features of two dimensional shapes.
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The football and Braking Distance; Model Data with Quadratic Functions

For Teachers 8th - 10th
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
Lesson Plan
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Radical Transformations

For Teachers 9th - 12th
Students transform the square root function graphically.  In this transforming the square root function graphically lesson, students use their Ti-Nspire to change the a, b, and c values of th square root graph.  Students...
Lesson Plan
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Patterns

For Teachers 8th - 10th
Students identify patterns in equations. In this algebra lesson, students write equations of problems with recurring patterns. They relate and model real life situation using functions.
Worksheet
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Summer 1999, MA 123: Cumulative Review

For Students 9th - 12th
In this math worksheet, students work to complete the review for a final part of an Algebra II class. The sheet has review problems.
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The Mandelbrot Set

For Teachers 10th - 12th
Students explore the concept of Mandelbrot sets and Julia sets. In this Mandelbrot and Julia set lesson, students use a function integrator applet to investigate two-variable function iterations. Students use Julia set and Mandelbrot set...
Worksheet
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Similar Right Triangles-Introductions to Trigonometry

For Students 9th - 10th
In this geometry worksheet, students examine similar right triangles as the basis for the foundation of trigonometry. Students define the basic trigonometric functions and use a calculator to find the trigonometric value of an angle. The...
Worksheet
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Mr. Payne Word Search Puzzle

For Students 5th - 6th
In this language arts instructional activity, students study 10 words in a word bank, then locate them in a word search puzzle. The words appear to be related to algebra; the meaning of the title is not known. There is one misspelled...
Worksheet
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Review Problems

For Students 9th - 11th
In this algebra worksheet, learners identify functions using the domain and range. They use correct function notation to solve composition functions. There are 13 questions.
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Perfect Shuffles

For Teachers 9th - 10th
Students investigate piecewise functions. In this algebra lesson plan, students model piecewise functions in the real world. They graph the parts of the functions following the restrictions of the domain.
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Who is Being Left Behind?

For Teachers 7th - 9th
Students investigate scores as they relate to race. In this algebra lesson, students analyze standardized scores and how race can affect these scores. They plot their findings on a graph and draw conclusions.
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Introducing Trigonometry

For Teachers 11th
Eleventh graders explore the three basic trigonometric functions. In this trigonometry/Algebra II lesson, 11th graders use GeoGebra and the unit circle to define the ratios of sides is a right triangles as they examine the full domain...
Lesson Plan
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How Old Did You Say?

For Teachers 2nd
Second graders explore and develop algebraic formulas based on their own ages as the known variable. This is a clever, and simple, way to introduce the concept of algebra to young students.
Worksheet
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Logarithms

For Students 11th
In this logarithms activity, 11th graders solve 10 different problems that include determining the single logarithm of each expression. First, they convert each logarithm to exponential form. Then, students solve each equation noting...
Lesson Plan
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How Much Data is That?

For Teachers 6th - 8th
Students differentiate between exponential and logarithmic functions. For this algebra lesson, students use logarithmic properties to solve equations. They identify growth and decay of graphs.
Worksheet
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Chapter 10 - Objective 6.1 Graph

For Students 11th - 12th
In this graphing worksheet, learners solve linear and parabolic equations and graph equations on a coordinate plane. They use the discriminant to determine the number of x-intercepts of a parabola. This one-page worksheet contains ten...
Worksheet
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Cramer's Rule

For Students 11th - Higher Ed
In this Cramer's Rule worksheet, students first evaluate five determinants or square matrix. Then they solve the last five problems by applying Cramer's Rule. Students identify and define Cramer's Rule as a theorem used with linear...
Lesson Plan
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Circle Art

For Teachers 8th - 10th
Students investigate two and three dimensional shapes. In this geometry lesson, students write equations of circles and graph them correctly. They create pictures using circles.
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Integers

For Teachers 9th - 11th
Students perform order of operation using integers. In this algebra lesson, students apply properties of integers as they add, subtract, multiply and divide integers. They work in groups to complete a RAFT assignment.
Worksheet
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Math Regents Exam Questions - Pearson Integrated Algebra P.304: Histograms

For Students 6th - 8th
In this histograms worksheet, students solve 9 short answer, multiple choice, and graphing problems. Students construct frequency tables and histograms of data.

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