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Local Linearity and the Microscope Approximation
In this local linearity worksheet, students identify the slope of a line tangent to the graph at a given point. They use linear approximation to estimate values. Students determine the slope of a secant line at a given point. This...
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Exploring Function Graphs
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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Numerical Analysis: Polynomial Interpolation
In this polynomial worksheet, students find interpolating functions that can be expressed as a linear combination of basis functions. This four-page worksheet contains five multi-step problems.
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Guess the Age
Students describe graphically, algebraically and verbally real-world phenomena as functions; identify the independent and the dependent variable. They translate among graphic, algebraic, and verbal representations of relations and graph...
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Finding Patterns and Graphing Functions
Learners investigate patters for area and perimeter. In this Algebra I/Geometry activity, students explore two different patterns as they write a formula for the nth term of each pattern. Learners graph their results and determine if the...
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I Can Do This! Systems of Equations
Students solve systems of 2-by-2 linear equations using tables,
graphs and substitution. In small groups, classmates work together to discover strategies for solving equations. They use a calculator to graphically represent their answers.
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The Standard Form of A Quadratic Equation
High schoolers investigate equations that are in the standard form of a quadratic equation represented as Y=ax2+bx+c. They factor the equations into linear factors to determine the x intercepts. The graph is also used to determine the x...
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Graphing Linear Equations
Eighth graders examine linear equations by creating graphs from them. In this graphing lesson, 8th graders read several linear equations and plot them on a graph with the help of their classmates. Students find the slope of the linear...
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Regression Analysis
For this regression analysis worksheet, 9th graders solve 10 different word problems related to regression analysis. First, they use the information given to find a suitable function to model the data. Then, students use the model to...
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Algebra II Test Sections 2.4
In this algebra worksheet, students identify the slope of a line, solve algebraic equations with absolute value, and identify the domain and range of given functions. This three-page worksheet contains 21 problems.
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Algebra II: Chapter 7 Test - Systems of Equations
In this systems of equations worksheet, students solve systems of equations, systems of inequalities, and linear equations. They read word problems and write a system of equations that depicts the problem. this two-page worksheet...
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Get a Half-life!
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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The Factor Connection
Pupils investigate the connection between factors, zeros, and graphs of quadratic functions. The instructional activity requires the TI-nspire handheld.
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The Fractal Coast
Pupils investigate measuring as it relates to the real world. In this geometry instructional activity, students measure distances as they discuss fractals and how it relates to measuring. They measure both linear and non-linear distances.
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Worksheet 13
In this math instructional activity, students find the solution for the Euler equation. Then they simplify the two differential for the functions of g and yp.
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Using Inequalities to Problem Solve
Students explore inequalities. In this Algebra I lesson, students solve and graph linear inequalities involving addition, subtraction, multiplication, or division. Students use inequalities to solve and graph real-world problems.
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Earthquakes
Eighth graders demonstrate the mathematical components of a scientific problem as well as illustrate how real world problems can be solved using math. They demonstrate math skills such as rate calculation, graphing, and linear equations.
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Vertical and Horizontal Translations
Pupils analyze function graphs. In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...
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Graphing Trigonometric Functions
The student should be able to transfer his knowledge of graphing functions to graphing trigonometric functions. Student should be able to graph trigonometric functions, find amplitude, period, and frequency.
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Worksheet 5
In this math worksheet, students review integrating factors for linear equations. Then they read about the definition and solving of homogeneous equations.
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Quadratic Functions
In this algebra learning exercise, students perform transformations on quadratic functions. They describe the different properties of quadratic functions. There are 12 problems.
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Three Calculus Overview Problems
For this calculus overview worksheet, students: find the equation of a tangent line, curve sketch, and find limits. Students should have covered continuity as well.
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Make a Pass at Me
Students identify different types of functions and units of measurements. In this statistics lesson plan, students will collect data, graph their data and make predictions about their data. They plot a linear regression graph.
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Cantilevers
Students perform an experiment to find the linear relationship between the appllied weight and the bend of the cantilever. In this linear relationships lesson, students follow detailed directions to set up an experiment. They add weights...
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