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Vertex and Factored Form of Quadratic Functions
High schoolers graph quadratic equations. In this algebra lesson, students solve quadratic equations by factoring. They identify the end behavior of the graph.
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Exploring the Ares 1X Launch-Parameters
In this rocket launch activity, students solve 3 problems about the Ares 1X rocket and its launch, trajectory, and motion in both the vertical and horizontal direction.
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Lift Equation Problem Set
Students, after reading an explanation from a NASA Web-based textbook, demonstrate an understanding of the text by using it, along with FoilSim, to complete an activity to graph and interpret the lift equation.
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Factoring
High Schoolers engage in a study of quadratic functions and focus upon the finding of equivalence and its connection between functions. They also practice factoring using the FOIL method while manipulating the equation. The instructional...
Firelands Local Schools
Exponential Growth and Decay
How can you safely model exponential growth and decay? A hands-on activity uses candies to model not only exponential decay, but also exponential growth. Exponential equations are fitted by hand and by use of a calculator...
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Numerical Analysis: Discrete Least Squares
In this discrete least squares activity, students use a linear algebra approach to discrete last squares approximation. This two-page activity contains approximately 10 problems.
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Binomial Probability Distribution Section 5.4
In this Binomial Probability Distribution, students use the binomial probability formula to determine the success of a given probability. Using the given parameters, students write a probability equation and solve the problem. They...
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Slider Template
Students identify parameters using a slider template. In this precalculus lesson, students relate a slider to a calculator. It provides the students the opportunity to control the perimeter of the equations.
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Parametric Races & Slopes
Learners investigate the slopes and parametric equations. In this calculus lesson, students solve parametric equations with specific parameters. They relate lines and slopes based on the derivative of the equation.
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Exploring the Exponential Function
Learners collect and analyze data regarding exponential functions of the form y = abx. Young scholars explore the affects of changing parameters on the graph of the function.
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Polynomials: Factors, Roots and Zeroes
Students factor polynomial equations. In this algebra instructional activity, students identify the zeros of the equations. They use algebra to rewrite word problems using symbols.
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Exponential Functions f(x) = abx
Students define exponential functions and graph the equation. In this algebra lesson, students discuss exponential growth and decay as they graph their functions. They differentiate between the base of growth and decay.
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Linear Modelling of the Life Expectancy of Canadians
Middle and high schoolers explore the concept of linear modelling. In this linear modelling lesson, pupils find the line of best fit for life expectancy data of Canadians. They compare life expectancies of men and women, and find...
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Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
Teach Engineering
Ice, Ice, PV!
Knowing the temperature coefficient allows for the calculation of voltage output at any temperature. Groups conduct an experiment to determine the effects of temperature on the power output of a solar panel. The teams alter the...
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Quadratic Modeling Of Canada's Baby Boom
High schoolers model quadratic equations. In this algebra lesson, students are given data to graph using a function. They investigate vertex and transformation of quadratic functions.
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Absolute Value
Students solve equations with absolute value bars. In this precalculus instructional activity, students graph and identify the vertex and translation of absolute value functions. They match equations with given graphs.
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Getting it Right!
Students investigate error. As shown in earlier activities from navigation lessons 1 through 3, without an understanding of how errors can affect position, one cannot navigate well. Students explore how computers can help in navigation....
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Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic...
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Solution Sets and Linear Independence of Vectors
Eleventh graders study homogeneous linear systems. In this linear system of equations lesson, 11th graders write linear system solutions in parametric vector form. Students also identify the connection between linear independence and...
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Trigonometric Transformations
Students perform transformation on trig functions. In this precalculus lesson, students relate the London Eye observation wheel to trig function. They use a TI navigator to visualise the parameter created by this view and relate it to...
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Impact Craters and Water on Mars
Students explore for water on Mars using impact crater morphology. During this lab, students: investigate how to use the equation writing and graphing capabilities in Microsoft Excel, then develop and apply an impact crater...
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Math 212: Planes
In this plane worksheet, students find the midpoint of a line, determine points on a plane, and use the cross product to find an equation with given parameters. This two-page worksheet contains three problems.
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Matrices and Vectors
In this matrices and vectors worksheet, students solve 9 various types of problems related to forming matrices and vectors. First, they set up each system of equations listed in matrix form using mathematical notation. Then, students...