Curated OER
Functions and the Vertical Line Test
Young scholars examine functions and function notation. They use computer activities to discover how to graph functions, and conduct a vertical line test. Students describe spatial relationships using coordinate geometry.
Curated OER
Lesson 3: Graphing Ordered Pairs on a Coordinate Plane
Students study how to graph ordered pairs on a coordinate plane. After a teacher demonstration, students work together to complete problems. They explain and share their answers. As an activity, they solve a mystery story about the...
Curated OER
Writing Equations of Parabolas in Vertex Form
Pupils use their knowledge of the vertex form of a quadratic equation to graph parabolas using a graphing calculator, given a specific move to make. this lesson may be used as a review or as extra practice, in groups or individually.
Curated OER
Adding and Subtracting Polynomials Using Algebra Tiles
Learners add and subtract polynomials. In this algebra lesson, students use algebra tiles to perform operation of polynomials. They model their problems and understand how to combine like terms using tiles.
Curated OER
Solving Systems by Graphing
Students solve systems of equation through graphing. In this algebra lesson plan, students solve linear equations and analyze the result to figure out if there is one solution, no solution or infinitely many solutions. They graph their...
Curated OER
Data Analysis and Probability
Students make their own puzzle grid that illustrates the number of sit-ups students in a gym class did in one minute, then they make a histogram for this same data. Then they title their graph and label the scales and axes and graph the...
Curated OER
What's My Pattern?
Learners recognize, describe and extend patterns in three activities. They organize data, find patterns and describe the rule for the pattern as well as use the graphing calculator to graph the data to make and test predictions. In the...
Curated OER
Veggie Chop and Data Analysis
First graders chop vegetables into fractions. In this fractions lesson plan, 1st graders cut vegetables, collect data about favorite vegetables and create a bar graph using the information. Students make inferences about the data...
Curated OER
Linear and Quadratic Functions
In this algebra worksheet, 11th graders solve quadratic functions using the quadratic formula. They take the square roots of both side of each equation then graph both the linear and quadratic functions. There are a total of 84 problems...
Curated OER
Lesson Plan 1: Up, Down, Right, Left - Function Families
Students work in small groups to draw the trajectory of several scenarios. They label parts of the resulting parabola (vertex, axis of symmetry). Students complete four stations to explore quadratic functions.
Curated OER
Stories to Graphs: Practice A
Ninth graders interpret graphs. In this Algebra I lesson, 9th graders examine graphs as an interpretation of a story. Students match graphs to story problems and create their own graphs given a story situation.
EngageNY
The Graph of a Function
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...
EngageNY
The Graph of the Equation y = f(x)
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...
EngageNY
Modeling Riverbeds with Polynomials (part 1)
Many things in life take the shape of a polynomial curve. Learners design a polynomial function to model a riverbed. Using different strategies, they find the flow rate through the river.
EngageNY
Modeling a Context from Data (part 1)
While creating models from data, pupils make decisions about precision. Exercises are provided that require linear, quadratic, or exponential models based upon the desired precision.
Virginia Department of Education
Inequalities
Not all resources are created equal — and your class benefits! Scholars learn how to solve one-step inequalities using inverse operations. They complete an activity matching inequalities to their solutions.
Education Development Center
Points, Slopes, and Lines
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...
EngageNY
Vectors and the Equation of a Line
Represent linear equations in both two and three dimensions using parametric equations. Learners write parametric equations for linear equations in both two and three variables. They graph and convert the parametric equations to...
Ohio Department of Education
I Can Do This! Systems of Equations
Use tables, graphs, and substitution to solve systems of linear equations. An envelope of sample problems is passed around the classroom, and each learner has the opportunity to solve the system in the envelope. This is a great way to...
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 instructional activity asks scholars to explore the behavior of different rational functions. Groups discover a connection...
Illustrative Mathematics
Peaches and Plums
According to the resource graph, which costs more: peaches or plums? Algebra learners compare two proportional relationships and then throw in a banana. Leaving out the scale helps young scholars become intuitive about graphing.
EngageNY
Linear Equations in Two Variables
Create tables of solutions of linear equations. A lesson has pupils determine solutions for two-variable equations using tables. The class members graph the points on a coordinate graph.
Alabama Learning Exchange
Building Functions: Reverse to Inverse
Reverse the wrapping to get to the gift. Using the idea of unwrapping a gift, the lesson introduces the concept of inverses. Pupils first determine the order needed to evaluate a function at a point, then use the reverse to find the...
Chicago Teachers Union Quest Center
Factored Form of a Quadratic Function
Build upon linear functions to learn about quadratics. The lesson introduces the concept of zeros for quadratic functions and makes the connection to the linear factors of the function. It presents quadratics in both graphical and...