EngageNY
Graphing the Tangent Function
Help learners discover the unique characteristics of the tangent function. Working in teams, pupils create tables of values for different intervals of the tangent function. Through teamwork, they discover the periodicity, frequency, and...
Virginia Department of Education
Graphs
Examine different types of graphs as a means for analyzing data. Math scholars identify the type of graph from a series of data displays and then develop questions to match each one. Then, given a scatter plot of height versus age...
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.
EngageNY
Transforming the Graph of the Sine Function
Build a solid understanding of trigonometric transformations through exploration. Learners work in teams to analyze the effects of different algebraic components on the graph of a sine function.
EngageNY
Analyzing Graphs—Water Usage During a Typical Day at School
Connect your pupils to the problem by presenting a situation with which they can identify. Individuals analyze a graph of water use at a school by reasoning and making conclusions about the day. The lesson emphasizes units and...
Virginia Department of Education
Solving and Graphing Inequalities
You can't go wrong with a lesson that involves candy! Learners solve and graph one-variable inequalities and use candy to graph the solution. Individuals associate open circle graphs with life savers and closed circle graphs with round...
EngageNY
Stretching and Shrinking Graphs of Functions
Why is that graph wider? Pupils learn about stretching and shrinking graphs of square root, absolute value, cubic, and quadratic functions. They study both vertical and horizontal stretches and shrinks in addition to reflections.
EngageNY
Solving and Graphing Inequalities Joined by “And” or “Or”
Guide your class through the intricacies of solving compound inequalities with a resource that compares solutions of an equation, less than inequality, and greater than inequality. Once pupils understand the differences, the...
EngageNY
Comparing Linear Functions and Graphs
How can you compare linear functions? The seventh installment of a 12-part module teaches learners how to compare linear functions whose representations are given in different ways. They use real-world functions and interpret features in...
Teach Engineering
Complex Networks and Graphs
Show your class how engineers use graphs to understand large and complex systems. The resource provides the beginnings of graph theory by introducing the class to set theory, graphs, and degree distributions of a graph.
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a lesson plan that asks individuals to examine the graphical relationship. Pupils create a table of values and then graph a square root and quadratic equation. They repeat the...
West Contra Costa Unified School District
Shifting Linear Equations in Function Notation
Time for a shift in thinking! Learners examine translations of linear functions. They use function notation to describe the translation and make connections to the graph.
EngageNY
Comparing Rational Expressions
Introduce a new type of function through discovery. Math learners build an understanding of rational expressions by creating tables and graphing the result.
EngageNY
Solution Sets to Equations with Two Variables
Can an equation have an infinite number of solutions? Allow your class to discover the relationship between the input and output variables in a two-variable equation. Class members explore the concept through tables and graphs and...
University of Colorado
The Moons of Jupiter
Middle schoolers analyze given data on density and diameter of objects in space by graphing the data and then discussing their findings. This ninth installment of a 22-part series emphasizes the Galilean moons as compared to other...
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
Chicago Botanic Garden
Plant Phenology Data Analysis
Studying data over time can paint a pretty interesting picture. Learners use data they collected in the previous lesson plan to compare to historical data in a similar region. They graph the data of the first bloom of a specific species...
Science Friday
Colorful Chromosomes
Everything is in the genes. Individuals observe 14 different traits of themselves. Using pipe cleaners and beads, the learners create models of a chromosome representing their traits. The class then compares and contrasts everyone's...
American Chemical Society
Density of Water
We know solids have a density we can measure, but what about liquids? Lesson explores this concept and allows scholars to explore the relationship between volume and density. Graphing and analysis questions round out the activity.
Virginia Department of Education
Rational Functions: Intercepts, Asymptotes, and Discontinuity
Discover different patterns by making connections between a rational function and its graph. An engaging lesson plan asks scholars to explore the behavior of different rational functions. Groups discover a connection between the...
EngageNY
The Remainder Theorem
Time to put it all together! Building on the concepts learned in the previous lessons in this series, learners apply the Remainder Theorem to finding zeros of a polynomial function. They graph from a function and write a function from...
University of Colorado
Distance = Rate x Time
Every year, the moon moves 3.8 cm farther from Earth. In the 11th part of 22, classes use the distance formula. They determine the distance to the moon based upon given data and then graph Galileo spacecraft data to determine its movement.
EngageNY
Four Interesting Transformations of Functions (Part 1)
Understanding how functions transform is a key concept in mathematics. This introductory instructional activity makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses...
EngageNY
Four Interesting Transformations of Functions (Part 3)
Continue the study of transformations with an examination of horizontal stretches, shrinks, and reflections. Individuals use the same process used in parts one and two of this series to examine horizontal changes. The resource also...
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