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Points on a Line
How do you find slope? You use points on a line of course. slope. Teach your class how to calculate and differentiate between horizontal and vertical lines. They are sure to be pros at graphing lines on a coordinate plane by the end of...
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Characteristics of Exponential Functions
What can an upper grader do with an exponential function? They can solve and graph it, identify its important characteristic, and differentiate graphs based on shifts in graph bases that are greater or less than one. This 45 minute...
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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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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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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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Infestation to Extermination
Students solve problems with exponential growth and decay. In this calculus lesson, students relate exponential functions to infestation and extermination. They take the derivative to find their answer.
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Graphic Designing with Transformed Functions
Teach your class how to transform a graph! By identifying the domain and range of the functions, students can observe the parabola and find the vertex of the transformed graph.
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Exploring Power Functions 1
Learners describe the end behavior of polynomial functions. Pupils relate the behavior of the graph to the exponent of the graph. They differentiate graphs with odd-exponent and graphs with even exponents.
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Exploring Power Functions 2
Young mathematicians learn to write algebraic equations. They solve and graph different polynomial functions with different powers. They then graph radicals and identify the domain and range.
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Logarithmic Transformations
Using the TI calculator to visualize and make predictions, students perform transformation vertically and horizontally on logarithmic graphs in order to solve problems.
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Solving Exponential Equations
Solving exponential and logarithmic equations is taught in this interactive lesson. Students use properties of logarithm and exponents solve functions. They estimate the solution and use the Ti to find the exact solution.
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Compound Interest
Pupils analyze the variables in the formula of a compound interest. They model the increase or decrease of an investment using compound interest and discuss different compounding periods.
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Introduction to Conic Sections
Learners slice cones and identify the different conics formed. They then derive the formula to solve problems involving cones. Pull out the TI calculators to visualize the slicing and the different parts and properties created.
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Rate of Change
Students observe and calculate slopes. In this algebra lesson, students graph equations and determine the pace at which the slope is changing. They use the navigator to see the change as they graph the lines around.
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Solving Systems by Graphing
Solve systems of equations with your super smart upper graders. They solve systems of equations and then graph two lines to find where they intersect. The focus on the activity is to have learners explore moving a point to...
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Comparing Linear and Exponential Functions
Teach your class how to differentiate between linear and exponential functions. They use exponential properties to solve problems, graph them using the TI-Navigator, and make comparisons.
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Spreading Doom
Students explore the pattern created by a sequence or series. In this geometry lesson, students relate the spread of a virus to the growth of exponential functions. They collect data as they analyze the sequence created by the growth.
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Functions and Inverses
Students solve problems identifying the functions and inverses. In this algebra activity, students identify a one-to-one function, and perform the horizontal line test. They analyze data and graph their results on a graph.
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Families of Functions
Learners use sliders to change the parameters of functions and examine how shifting parameters affects a graph. They identify the parameters of functions, find vertical and horizontal stretches, then calculate the scale factor and other...
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Parabolic Paths
Students investigate properties of parabolas. For this algebra lesson, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.
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Extraneous Solutions
Young scholars find the roots of quadratic equations. In this algebra lesson, students solve radical equations and identify the positive and negative roots. They graph and analyze their functions.
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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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Watch Your P' and Q's
Pupils solve polynomial functions by graphing. They factor rational expressions to find the roots of the equation and apply the rational zero theorem to find the zeros of a polynomial.
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Graph Logarithms
Mathematicians graph logarithmic equations. Teach your students how to identify the intercepts of logarithmic equations and tell whether the function is increasing or decreasing. They find the domain and range of each function.