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Arithmetic Complex Numbers
Students convert quadratic functions from standard form to vertex form. In this algebra instructional activity, students solve polynomials using synthetic and long division. They derive and apply the remainder theorem and factor theorem.
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Off to College
High schoolers investigate linear, quadratic and exponential equations using the TI calculator. They identify relation and functions using ordered pairs, graph the data, analyze the data, and relate it to real-world situations.
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 of Functions Using First and Second Derivatives
In this calculus worksheet, students solve problems using the first and second derivatives. They define the behavior of the function based on the derivative. There are 11 questions with an answer key.
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Write an Equation of a Line Given Slope and a Point
Ninth graders are investigating slope of a line. The line is plotted using the slope and points on a line. They also write an equation given the right information. The use of a PowerPoint is part of the presentation.
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How Alike Are We?
Fourth graders find the range, mode, median, and mean for each of the data sets (height and shoe size). They discuss which measure of central tendency for each data set best represents the class and why. Students graph the shoe size and...
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Maximize It!
Students design a rectangular box without a lid that has the largest possible volume using the supplied sheet of centimeter graph paper. They work in groups to construct different size boxes to determine the largest possible volume and...
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Graphs and Transformations of Functions
Is it possible to solve quadratic equations by factoring? It is, and your class will graph quadratic equation and functions too. They perform transformation on their graphs showing increasing and decreasing intervals, domain, and range....
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Writing Linear Equations
In this algebra worksheet,students solve linear equations and graph their answers on a number line. There are 24 questions with an answer key.
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Basic Algebra and Computers: Spreadsheets, Charts, and Simple Line Graphs
Students, while in the computer lab, assess how to use Microsoft Excel as a "graphing calculator." They view visual representations of line graphs in a Cartesian plane while incorporating basic skills for using Excel productively.
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Scientists Track the Rising Tide
In this tracking the rising tide learning exercise, students use the data in a graph showing the seal level change versus time from 1900 to 2000 to answer 3 questions about the rising tides. Students determine the slope of a line drawn...
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Algebra 2 Test
In this algebra worksheet, students solve problems by graphing inequalities, finding the slope of a line and identifying functions. This is a review of chapter 2 on an algebra test. There are 21 questions.
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Periodic Functions
In this calculus learning exercise, students identify important rules and properties of the unit circle. They differentiate between polar and complex coordinates. There are 20 questions about the unit circle.
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Cartesian Geometry
In this geometry worksheet, learners plot coordinate pairs and connect the points to create different shapes. They give th shapes its polygon's name. They differentiate between simple functions and rectangular hyperbola.
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Graphing Equations
In this algebra worksheet, students solve linear equations through evaluations and graphing. There are 76 questions ranging from addition to division of linear equations.
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Solving Systems by Graphing
Students solve systems of equation through graphing. In this algebra lesson, students solve linear equations and analyze the result to figure out if there is one solution, no solution or infinitely many solutions. They graph their lines...
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Equations of Ellipses
In this writing equations of ellipses worksheet, students solve and complete 26 various types of problems. First, they use the given information to write the standard form equation of each ellipse. Then, students determine the endpoint...
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Linear and Exponential Models
High schoolers investigate the differences between linear and exponential models. In this linear and exponential models lesson, students make a table of given data. High schoolers determine if the data is linear or exponential by...
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AP Calculus Practice Exam: BC Version - Part A
In this calculus instructional activity, students solve 28 multiple choice problems. Students find derivatives, volumes, limits, convergent series, etc.
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AP Calculus Practice Exam
For this calculus worksheet, students solve functions by taking the derivative of the equations. There are 28 questions using logs and trig functions.
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Linear Inequalities
In this linear inequalities activity, students solve and graph systems of inequalities on a coordinate plane. Examples and explanations are provided. This five-page activity contains 32 problems. Answers are provided at the end of the...
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Order of Operations
Ninth graders investigate the order of operations. In this Algebra I lesson, 9th graders explore the rules of arithmetic and algebra as they review and practice simplifying increasingly complex numeric expressions using the order of...
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The Slope of a Line
Students define the slope of a line as rate of change. They investigate positive, negative, zero, or undefined slope using a graphing calculator. They determine the slope of a line when given the equation of the line.
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Tight Rope
Learn how to explore the concept of linear functions. In this linear functions lesson, students collect linear data from a motion detector. Students walk to create a linear function. Students plot the points on a graph and determine a...
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