Virginia Department of Education
Transformationally Speaking
Young mathematicians explore transformations of graphs by graphing sets of functions on the same pair of axes. They use their graphs to determine the effect that the values of a and b in y = ax + b have on the graph of y = x.
Virginia Department of Education
Transformation Investigation
Graph it! Investigate transformations with a graphing calculator. Pupils graph sets of linear functions on the same set of axes. They determine how changes in the equation of a linear function result in changes in the graph.
Virginia Tech
Unit Plan: Exponential and Logarithmic Functions
A six-day unit for algebra II on exponential and logarithmic functions builds upon Chapter 12 of Merrill Algebra II with Trigonometry; Applications and Connections. The text provides assistance in the depth of instruction and homework...
Illustrative Mathematics
Identifying Even and Odd Functions
Use a worksheet to give learners practice in identifying even and odd functions. The problems on this page are also appropriate for use as assessment items, or you can use them with GeoGebra to interactively present concepts. The task is...
Curated OER
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.
Curated OER
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...
Curated OER
Standard Form of Quadratic Functions
Students factor quadratic equations. In this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
Curated OER
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.
Curated OER
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...
Curated OER
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...
Curated OER
Exploring Vertical Asymptotes
Scholars identify the domain of a rational function in this precalculus lesson. They identify the removable discontinuity and label what will make the denominator zero. Learners also describe properties of the graph as it relates to the...
Curated OER
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.
Curated OER
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.
Curated OER
Logarithmic Transformations
Using the TI calculator to visualize and make predictions, learners perform transformation vertically and horizontally on logarithmic graphs in order to solve problems.
Curated OER
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.
Curated OER
Rate of Change
Students observe and calculate slopes. In this algebra lesson plan, 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.
Curated OER
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.
Curated OER
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...
Curated OER
Parabolic Paths
Young scholars investigate properties of parabolas. In this algebra lesson, students identify the different paths of a parabola. They use the navigator to make observations of the parabola.
Curated OER
Torricelli's Law
Investigate velocity using Torricelli's Law! The class will have a blast solving problems involving velocity and their related equations. They create an equation to represent the flow of the water through a tank. Super helpful tips on...
Texas Instruments
Variables and Expressions
High schoolers solve equations by writing expressions. In this algebra lesson, students identify the different values for each variable. They use the navigator to see how to solve equations.
Curated OER
Distributive Property
Students solve problems using distribution. In this algebra lesson, students factor equations using the distributive property. They graph their solution on a graph.
Curated OER
From Expressions to Equations
Learners differentiate between expression and equation by evaluating integers and observing the difference. They use the TI to see the steps to solve problems.
Curated OER
Horizontal and Vertical Lines
High schoolers solve equations and graph-their solutions. In this algebra lesson, students, identify the type of line using the slope of the equation. They graph and observe their lines.