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Exponential Transformations
Perform transformations on exponential functions! Teach your class how to perform dilation, compression, and translation. They graph exponential functions using the TI Calculator.
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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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Critical Points
Students identify critical points on a graph. In this calculus lesson, students graph their equations on the TI calculator. They zoom in and out to identify the critical points.
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Mean Value Theorem
High schoolers calculate the slopes of secant lines. In this calculus instructional activity, students graph tangent and secant lines using the coordinate plane. They use the Ti calculator to graph and observe the lines.
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Taylor Polynomial Examples
Students graph Taylor polynomials. In this calculus lesson, students relate accuracy of a Taylor polynomial to the degree of the equation. They graph their polynomials using the TI calculator.
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Convergence of Taylor Series
High schoolers analyze taylor series for convergence. In this calculus lesson, students analyze the graph of a taylor series as it relates to functions. They use the TI calculator to graph and observe the different series.
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Exploring Transformations
Young scholars investigate functions and their transformations. They move absolute value functions around on the coordinate plane, and then define the transformation and plot the new graph. The table feature of the TI-calculator is used...
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A Tale of Two Lines
Students graph systems of equation. In this calculus instructional activity, students graph their lines on a TI calculator. They identify the point of intersection and the type of solution.
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Continuity and Differentiability 1
Pupils examine graphs for continuity and differentiability in this calculus instructional activity. They observe piecewise functions to see where continuity and differentiability come into play. Learners finish by graphing their equation...
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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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Midpoint of a Segment
Learners revisit midpoint and segments by graphing on the TI or computer. This activity can be done with pencil and paper, but is more interactive if it is done on a TI-navigator.
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Euler's Method Introduction
Young mathematicians define and use Euler's method to solve problems in this calculus lesson. Learners visualize graphs and solve differential equations. They create these visuals on the TI calculator.
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Classifying Triangles by the Length of the Sides Using Cabri Jr.
Learners follow detailed directions to create triangles on their graphing calculator. In this properties of triangles lesson, they will create triangles on their calculators using the Cabri Jr. application. They then identify three...
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Gateway Arc Length
Learners differentiate and calculate the length of an arc. They define an arc and relate it to the area of a circle and integrate the function to solve the equations. High schoolers use their TI calculators to graph the equation.
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Local Linearity
In order to investigate local linearity, young scholars graph the function on the TI-calculator and zoom to observe the change in slope on the line. They incorporate technology to visualize these problems.
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Two Investigations of Cubic Functions
Through learning about cubic functions, students graph cubic functions on their calculator. Students determine the local maximum and minimum points and the tangent line from the x-intercept to a point on the cubic function. ...
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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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Introduction to Limits
High schoolers practice using graphing calculators and spreadsheets as they explore numeric limits using sequences and functions. They complete a sequencing worksheet, and determine which sequence corresponds to story a story called...
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One of the Many Ways
Explore the concept of polynomials and determine the value and number of zeros for a given polynomial using the Rational Root Theorem. Then graph the polynomials and relate the number of zeroes to the degree of the polynomial.
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Proof of the Pythagorean Theorem Using Transformations
Middle and high schoolers construct a triangle using Cabri Jr. They construct squares on each of the legs and hypotenuse of the triangle. Pupils show that the area of the squares on the leg equal the area of the square on the hypotenuse.
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The Closer I Get To You
Pupils explore the law of reflection. Through experimentation and problem solving, they collect and analyze data pertaining to reflection. The data is plotted on a graph and formulas for calculating the x and y values are evaluated.
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Geometric Sequences and Series
Learn to calculate the nth term of a sequence defined by an algebraic expression. They examine geometric sequences and series, relate geometric sequences to their explicit forms, find the partial sums of a sequence in a table, and...
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Maximizing Your Efforts
High schoolers graph systems of equation. In this algebra lesson plan, students find where the lines cross and identify the type of solution. They analyze a graph and write the equation of the line.
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Epsilon-Delta Window Challenge
Students graph functions and analyze them. In this calculus instructional activity, students define limit formally using Epsilon-Delta. They use the TI to graph the function and analyze it.