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## Numerically Calculate the Derivative of a Function

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Graphing Calculator Lesson (TI-84)

Calculating the derivatives of a function on a graphing calculator.

## Numerically Calculate the Value of a Definite Integral

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Graphing Calculator Lesson (TI-84)

Taught on a graphing calculator, this lesson is how to Numerically Calculate the Value of a Definite Integral in calculus.

## Graphing Calculator Lessons

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Graphing Calculator lessons on video are now on www.Skubes.com

## Calculating the Intersection Points for 2 Equations

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Graphing Calculator Lesson (TI-84)

Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x² + y² = 3.

## Calculating Maximums/Minimums from a Graph of a Function

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Graphing Calculator Lesson (TI-84)

Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines.

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity.

## Trig Functions using the Graphing Calculator

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Graphing Calculator Lesson (TI-84)

Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.

## Graphing Linear Equations on a Graphing Calculator

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Graphing Calculator Lesson (TI-84)

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Solve a simple system consisting of a linear equation and a quadratic equation in two variables algebraically and graphically. For example, find the points of intersection between the line y = –3x and the circle x² + y² = 3.

## Logarithms Using the Graphing Calculator

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Graphing Calculator Lesson (TI-84)

Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude.

For exponential models, express as a logarithm the solution to ab​(ct) = d where a,c,and d are numbers and the base b is 2,10, or e; evaluate the logarithm using technology.

## Calculating a Value on the Graph of a Function

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Graphing Calculator Lesson (TI-84)

Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.  Read values of an inverse function from a graph or a table, given that the function has an inverse.

## Matrix Operations using a Graphing Calculator

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Graphing Calculator Lesson (TI-84)

Add, subtract, and multiply matrices of appropriate dimensions.  Multiply a vector (regarded as a matrix with one column) by a matrix of suitable dimensions to produce another vector. Work with matrices as transformations of vectors.  Work with 2 × 2 matrices as a transformations of the plane, and interpret the absolute value of the determinant in terms of area.