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Review For Test On Chapter 5
Young scholars engage in a study of various concepts in relation to preparing for a calculus exam. They sketch and discuss and sketch a variety of functions. The activity includes an outline of review that should be used by the teacher...
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Newton's Method
Students investigate the Newton Method of solving for zeroes of equations. They apply the method to a variety of different problems including the examples provided in the lesson plan. Students find approximations for the roots of an...
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Limits Of Trigonometric Functions
Students engage in a lesson that is about computing the limits of trigonometric functions. They practice computing the functions of sin, cos, and sin to find the missing values related to triangles. Students also calculate the limits of...
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Differentials
Pupils engage in a lesson that is about finding the differentials of an equation. They practice computing the differential and apply them to obtaining the approximations for cube roots. The lesson includes examples for the teacher to use...
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Inverse Trigonometric Functions (Review)
Young scholars investigate the concepts related to inverse trigonometric functions and then review the graphs for the inverse. They apply the functions using the context of the example problems provided in the lesson. The lesson includes...
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Lesson Plan On Fran Data
Seventh graders investigate the concept of functions and how they are used in the context of the real world while identifying the dependent and independent variables. They graph relations and functions and find the zeros of functions....
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Exponential Functions: Half Life and Doubling Time
High schoolers investigate the concept of exponential functions and how they increase in size over time. They simplify the functions in order to find the solutions that are possible and perform analysis of the curved line that is...
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Absolute Value of Linear Functions
Students identify and interpret how absolute value affects linear functions. They also graph linear functions and reflect them in a line of symmetry. Finally, students evaluate the absolute value of a constant using technology to...
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Absolute Value of Linear Functions
Students discover how abolute value affects linear functions. They complete a worksheet simulating a path for miniature golf hole in one for three figures. They construct a hole in one graph for each hole marking the X and Y coordinates.
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Reflections of a Linear Function
Students identify and reflect functions about the X-axis, Y-axis, and origin. They derive equations for reflected functions and graph the linear functions. Finally, students identify that f(x) can be reflected about each axis and the...
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Functions and Graphs -- Pattern Detection #1
Students discuss the job of an archaeologist by determining how people have used their environment. Using a graph, they analyze the patterns and functions of Native Americans in Arizona using maize. They work together to answer...
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Functions and Graphs -- Pattern Detection #2
Middle schoolers examine a graph made by archaeologists. In groups, they discuss the role of the size of the animals and how that affects the graph. They compare and contrast the size of animals killed by people 10,000 years ago and...
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Bridges
Ninth graders use model-building to help comprehend the forces and phenomena at work in the world around them. They describe gravity as a universal force that pulls everything toward the center of the earth. Students distinguish between...
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The Function Box
Students look around classroom and identify any patterns they see, describe patterns and explain why they are patterns, use pencil to demonstrate arithmetic patterns by tapping, practice predicting patterns by using Function Box, and...
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Big Wheels Keep on Turning
Eleventh graders work in groups and investigate how force determines the speed and distance then they view the video, "Math Vantage #7: What's Your Angle?." They are given a real life problem to solve using speed, ramps, angle, incline...
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Quadratic Equations
Tenth graders review algebraic methods of solving quadratic equations. Students discuss several methods of solving quadratic equations. They practice factoring and finding the roots of an equation for solving. A calculator is used to...
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Patterns, Relations, and Functions: Lesson 7: Input/ Output Tables
Fourth graders determine how to complete input/output tables. They express rules for input/output or function tables. They complete a worksheet that it is associated with the lesson plan.
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Patterns, Relations, and Functions: Lesson 3: Numerical Patterns
Fourth graders extend and continue numerical patterns using function or input/output machines. They finish the increasing patterns using input/output tables, and generalize the rules that apply to the pattern. They complete the...
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Sonic Booms and Logarithms
Students practice working with the symbolic notation for logarithms. They understand various types of patterns and functional relationships. They use symbolic forms to represent and analyze mathematical situations.
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Classifying Functions
Eleventh graders sort different types of functions including rational, periodic, exponential, polynomial, quadratic, logarithmic and linear using "function cards." The functions are displayed in multiple representations including...
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Using The Calculator
First graders explore a calculator and practice using its basic functions. Students use the calculator to check math problems they complete. They will use a colored crayon to correct wrong answers.
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A New, Capital Idea#141
Students design a pamphlet which explains where a capital for a new country, which is comprised of the New England region, should be located. They include the reasons for their decision based on where physical and human features are...
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Firewood Problem
Middle schoolers write and solve their own story problems. They determine the cost of firewood by the cord. They organize their data in graphs and charts.
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Cutting Cordwood
Young scholars examine a story problem in which two men are earning money by cutting cords of wood. They use data from graphs to use on a grid. They practice writing algebraic equations as well.