Handout
Mt. San Antonio Collage

Quadratic Functions and Their Graphs

For Students 9th - 12th Standards
Starting with the basics, learners discover the features of a parabola and the ways to accurately graph it. After pupils practice with graphing, the end of the worksheet focuses on application type problems. 
Interactive
Khan Academy

Challenge: Lined Paper

For Students 6th - Higher Ed
Now create your own graph paper with this JavaScript programming activity! First, change the while loop that draws horizontal lines into a for loop. Then, add another for loop that draws the vertical lines. For an added challenge,...
Worksheet
Mt. San Antonio Collage

Graphs of Rational Functions

For Students 9th - 12th Standards
Sometimes graphing rational functions can feel a little "irrational." Starting with the basics, learners work their way through the pieces of these graphs and finish off with an application question. 
Lesson Plan
EngageNY

Horizontal and Vertical Asymptotes of Graphs of Rational Functions

For Teachers 11th - 12th Standards
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...
Lesson Plan
Education Development Center

Points, Slopes, and Lines

For Teachers 6th - 9th Standards
Before graphing and finding distances, learners investigate the coordinate plane and look at patterns related to plotted points. Points are plotted and the goal is to look at the horizontal and vertical distances between coordinates and...
Lesson Plan
Curated OER

Animal Brains

For Teachers 7th - 9th Standards
Do big bodies make big brains? Let your learners decide whether there is an association between body weight and brain weight by putting the data from different animals into a scatterplot. They can remove any outliers and then make a line...
Lesson Plan
Alabama Learning Exchange

Building Functions: Inverse Functions from Tables and Graphs

For Students 9th - 12th Standards
Is the inverse a function? Scholars learn how to examine a function to answer this question. Using an online interactive, they examine the properties of inverse functions to compare to the original function.
Lesson Plan
West Contra Costa Unified School District

Conics Introduction and Parabolas

For Teachers 10th - 12th Standards
Where did conic sections get their name? The equation and graph of a parabola are developed from the definition of the conic section. Teacher examples on graphing the equation and writing an equation from the graph round out the plan.
Lesson Plan
West Contra Costa Unified School District

Shifting Linear Equations in Function Notation

For Students 8th - 10th Standards
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.
Lesson Plan
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Natinal Math + Science Initative

Slope Investigation

For Students 6th - 9th Standards
Context is the key to understanding slope. A real-world application of slope uses a weight loss scenario with a constant rate of change to introduce the concept of slope of a line, before it makes a connection to the ordered pairs...
Lesson Plan
National Council of Teachers of Mathematics

Stitching Quilts into Coordinate Geometry

For Students 8th - 11th Standards
Who knew quilting would be so mathematical? Introduce linear equations and graphing while working with the lines of pre-designed quilts. Use the parts of the design to calculate the slope of the linear segments. The project...
Lesson Plan
EngageNY

Motion Along a Line – Search Robots Again

For Students 9th - 12th Standards
We can mathematically model the path of a robot. Learners use parametric equations to find the location of a robot at a given time. They compare the paths of multiple robots looking for parallel and perpendicular relationships and...
Unit Plan
Mathematics Vision Project

Module 6: Trigonometric Functions

For Students 9th - 12th Standards
Create trigonometric functions from circles. The first lesson of the module begins by finding coordinates along a circular path created by a Ferris Wheel. As the lessons progress, pupils graph trigonometric functions and relate them to...
Lesson Plan
EngageNY

Problem Solving and the Coordinate Plane

For Students 6th Standards
Class members investigate rectangles on the coordinate plane. They determine the length of line segments in the coordinate plane with the same x-coordinate or same y-coordinate and then solve geometric problems involving perimeter...
Handout
Charleston School District

Increasing, Decreasing, Max, and Min

For Students 8th Standards
Roller coaster cars traveling along a graph create quite a story! The lesson analyzes both linear and non-linear graphs. Learners determine the intervals that a graph is increasing and/or decreasing and to locate maximum and/or...
Lesson Plan
Willow Tree

Functions

For Students 8th - 11th Standards
What makes a function a function? Learn the criteria for a relation defined as a function both numerically and graphically. Once young mathematicians define a function, they use function notation to evaluate it. 
Lesson Plan
EngageNY

Four Interesting Transformations of Functions (Part 1)

For Students 9th - 10th Standards
Understanding how functions transform is a key concept in mathematics. This introductory lesson makes a strong connection between the function, table, and graph when exploring transformations. While the resource uses absolute value...
Lesson Plan
Illustrative Mathematics

Introduction to Linear Functions

For Teachers 7th - 9th Standards
Introduce your algebra learners to linear and quadratic functions. Learners compare the differences and relate them back to the equations and graphs. Lead your class to discussions on the properties of a function or a constant slope...
Lesson Plan
EngageNY

The Graph of a Function

For Teachers 9th - 10th Standards
Mathematics set notation can be represented through a computer program loop. Making the connection to a computer program loop helps pupils see the process that set notation describes. The activity allows for different types domain and...
Lesson Plan
EngageNY

The Graph of the Equation y = f(x)

For Students 9th - 10th Standards
Math language? Set notation is used in mathematics to communicate a process and that the same process can be represented as computer code. The concept to the loop in computer code models the approach pupils take when creating a solution...
Lesson Plan
Kenan Fellows

Math Made Simple as 1-2-3: Simplified Educational Approach to Algebra

For Teachers 8th - 11th Standards
Writing an equation of a line is as easy as m and b. A lesson presentation gives individuals different strategies for writing equations of lines. Some items provide a slope and a point while others provide two points. Whatever the given,...
Lesson Plan
Willow Tree

Box-and-Whisker Plots

For Students 9th - 12th Standards
Whiskers are not just for cats! Pupils create box-and-whisker plots from given data sets. They analyze the data using the graphs as their guide.
Lesson Plan
EngageNY

Analyzing Residuals (Part 1)

For Teachers 9th - 10th Standards
Just how far off is the least squares line? Using a graphing calculator, individuals or pairs create residual plots in order to determine how well a best fit line models data. Three examples walk through the calculator procedure of...
Lesson Plan
EngageNY

Projecting a 3-D Object onto a 2-D Plane

For Teachers 11th - 12th Standards
Teach how graphic designers can use mathematics to represent three-dimensional movement on a two-dimensional television surface. Pupils use matrices, vectors, and transformations to model rotational movement. Their exploration involves...