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Polynomial Rollercoaster
Learners relate polynomials to a rollercoaster track as they translate a graph around on a coordinate plane. They differentiate between different forms of algebraic expressions.
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Taylor Polynomials
Pupils graph Taylor polynomials in this calculus lesson. They observe the graphs for the expansion of Taylor polynomial functions and use the Ti calculator to help create visuals of the graphs.
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End Behavior of Polynomial Functions
Students identify the end behavior of polynomial functions. In this algebra lesson, students graph different polynomials functions and find a correlation between exponents and function behavior. They identify the effect the leading...
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Multiplicity of Zeros of Functions
Pupils identify the multiplicity of exponents as they graph polynomials. They write equations for a function given the zeros of the function and work backwards from solving equations.
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Exploring Vertical Asymptotes
Scholars identify the domain of a rational function in this precalculus lesson plan. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to...
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Crossing the Asymptote
Students investigate graphs and their asymptotes. In this precalculus lesson, students examine the numerator and denominator of their rational functions. This helps them identify where and when the graph will cross its asymptote.
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Finite Differences
Young mathematicians solve problems with polynomials. As they graph and analyze polynomial functions, learners define constant and finite, and determine the relationship between the constant set of differences and the slope of a linear...
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Products of Linear Functions
Students investigate the horizontal intercepts of functions. In this algebra lesson, students identify whether the factor of two functions results in a quadratic equation or not. They compare and contrast linear equations and higher...
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The football and Braking Distance; Model Data with Quadratic Functions
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...
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Model Data with Quadratic Functions
Students model data using quadratic equations. In this algebra lesson, students simplify and factor quadratic equations. They graph the function using collected data and analyze the parabola.