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EngageNY
Graphs Can Solve Equations Too
There are many equations Algebra I students are not ready to solve. Graphing to solve gives them a strategy to use when they are unsure of an algebraic approach to solve the problem. The lesson exposes learners to a wide variety of...
West Contra Costa Unified School District
Using Derivatives to Graph Polynomials
You can learn to graph as well as a calculator using calculus. The lesson introduces using derivatives to find critical points needed to graph polynomials. Pupils learn to find local maximums and minimums and intervals of increase...
Illustrative Mathematics
Graphing Rational Functions
The slider feature on Desmos excellently shows how graphs change based on different variable values. Learners look at two similar rational functions and compare and discuss what happens when the numbers go from positive to zero to...
EngageNY
Graphs of Quadratic Functions
How high is too high for a belly flop? Learners analyze data to model the world record belly flop using a quadratic equation. They create a graph and analyze the key features and apply them to the context of the video.
Wordpress
Introduction to Exponential Functions
This instructional activity begins with a review of linear functions and segues nicely over its fifteen examples and problems into a deep study of exponential functions. Linear and exponential growth are compared in an investment task....
EngageNY
Horizontal and Vertical Asymptotes of Graphs of Rational Functions
Get close to your favorite line. Scholars use end behavior to help find horizontal asymptotes. With the understanding of domains of rational functions, learners find vertical asymptotes and then use graphing calculators to verify the...
EngageNY
Graphing Quadratic Functions from the Standard Form
Use context to explain the importance of the key features of a graph. When context is introduced, the domain and range have meaning, which enhances understanding. Pupils use application questions to explore the key features of the graph...
EngageNY
Graphs of Simple Nonlinear Functions
Time to move on to nonlinear functions. Scholars create input/output tables and use these to graph simple nonlinear functions. They calculate rates of change to distinguish between linear and nonlinear functions.
Willow Tree
Circle Graphs
Pie isn't just for eating! Scholars learn to create pie charts and circle graphs to represent data. Given raw data, learners determine the percent of the whole for each category and then figure out the degree of the circle that percent...
Annenberg Foundation
Skeeters Are Overrunning the World
Skeeters are used to model linear and exponential population growth in a wonderfully organized lesson plan including teachers' and students' notes, an assignment, graphs, tables, and equations. Filled with constant deep-reaching...
Virginia Department of Education
Transformational Graphing
Find relationships between the structure of a function and its graph. An engaging instructional activity explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
Virginia Department of Education
Graphing Systems of Inequalities
Apply systems of inequalities to a real-world problem. Here, scholars learn to graph solutions to systems of linear inequalities. To finish the lesson, they solve a problem involving burgers and cheeseburgers using a system of inequalities.
Benjamin Franklin High School
Saxon Math: Algebra 2 (Section 3)
In this third of a twelve-part series, the focus moves from using matrices to solving systems of equations with substitution and elimination, including more than two dimensions and variables in equations, and analyzing statistical data....
Balanced Assessment
Cost of Living
Math scholars investigate the cost of living in Hong Kong compared to Chicago but must first convert the different types of currency. They then choose a type of graph to compare different spending categories and finish the activity by...
Pingry School
Scientific Notation and Calculations – Energies, Frequencies, and Wavelengths of Photons
The calculator has an interesting way of displaying numbers in scientific notation, but don't let that confuse your pupils! A lesson designed to give learners practice with scientific notation and calculators provides several practice...
Willow Tree
Line Graphs
Some data just doesn't follow a straight path. Learners use line graphs to represent data that changes over time. They use the graphs to analyze the data and make conclusions.
BW Walch
Solving Systems of Linear Equations
Solving systems of equations underpins much of advanced algebra, especially linear algebra. Developing an intuition for the kinds and descriptions of solutions is key for success in those later courses. This intuition is exactly what...
National Research Center for Career and Technical Education
Depreciation (Double Declining)
Have you ever been told that your new car begins to lose its value as soon as you drive it off the lot? Aspiring accountants take on the concepts of depreciation and book value through an easy-to-deliver career and technology lesson. The...
EngageNY
Graphs of Linear Functions and Rate of Change
Discover an important property of linear functions. Learners use the slope formula to calculate the rates of change of linear functions. They find that linear functions have constant rates of change and use this property to determine if...
Math Worksheets Land
Pie or Circle Graphs—Step-by-Step Lesson
How do you display data that you've collected in a pie chart? Follow a clear step-by-step guide to turning survey results into a visible format. It shows kids how to determine the percentage of the whole that each section represents.
BW Walch
Solving Linear Inequalities in Two Variables
Although graphing a linear inequality on the plane is but a few steps added onto the graphing of a linear equation, for many learners the logical leap is quite intimidating. This approachable PowerPoint presentation breaks graphing...
Columbus City Schools
Speed Racers
Who wants to go fast? The answer? Your sixth-grade science superstars! The complete resource offers the ultimate, all-inclusive playbook for mastering the important concepts of speed versus time; distance versus time; and how...
Shodor Education Foundation
Conic Flyer
Graphing conics made easy. Individuals use an interactive to graph conic sections. The app can handle circles, vertical and horizontal parabolas, ellipses, and vertical and horizontal hyperbolas.
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.