EngageNY
Analyzing a Graph
Collaborative groups utilize their knowledge of parent functions and transformations to determine the equations associated with graphs. The graph is then related to the scenario it represents.
Curated OER
Vertical and Horizontal Translations
Students analyze function graphs. In this Algebra II/Pre-calculus lesson, students investigate the graph of a function as they determine to which family of functions it belongs, determine the parent function and describe the translation...
Curated OER
Parent Functions in the School
Students take pictures of items related to parent functions around the school. In this parent functions instructional activity, students take photos of an item that has a shape of one of the parent functions that they studied in class....
EngageNY
Graphing Cubic, Square Root, and Cube Root Functions
Is there a relationship between powers and roots? Here is a lesson 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 process...
Texas Instruments
Let's Play Ball with Families of Graphs
Learners explore quadratic equations in this Algebra II lesson. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation of the parabola...
Curated OER
Summer Intern
Your young apprentices build a function describing the percent concentration of salt in a brine. The rational function is then related to the parent function, y= 1/x, and graphed. Finally, the apprentices predict the amount of fresh...
West Contra Costa Unified School District
Exploring Quadratics and Graphs
Young mathematicians first graph a series of quadratic equations, and then investigate how various parts of the equation change the graph of the function in a predictable way.
Curated OER
Algebra II: Quadratic Functions
High schoolers collect and organize data, make a scatterplot, fit a curve to the appropriate parent function, and interpret the results. Students translate among the various representations of the quadratic function, formulate equations,...
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
Functions As Relationships
In this algebra worksheet, students read the information about the relationships of functions and then they fill in the graphic organizer with the information at the bottom of the page.
Curated OER
Math with M&M's
First graders create number sentences. In this math lesson, 1st graders use M&M's to make number sentences. Students create charts using the color of the M&M's as data.
Curated OER
Stretching the Quads
Scholars investigate transforming parabolas. In this transforming parabolas lesson, they take the parent graph y=x^2 and transform it by shifting left, right, up, and down and shrinking and stretching. The class finds maximums,...
EngageNY
Graphing Quadratic Equations from the Vertex Form
Graphing doesn't need to be tedious! When pupils understand key features and transformations, graphing becomes efficient. This activity connects transformations to the vertex form of a quadratic equation.
Alabama Learning Exchange
Technology for Displaying Trigonometric Graph Behavior: Sine and Cosine
Students explore the concept of sine and cosine. In this sine and cosine instructional activity, students work in groups to graph sine and cosine functions. Students examine how coefficients in various parts of each parent function...
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.
Curated OER
Transformation of Graphs
In this college level Pre-calculus worksheet, students examine families of functions and describe how graphs of the transformation can be obtained from the parent graph. The four page worksheet contains seventy-two problems. Answers...
Curated OER
Matrix Analysis of Networks
Explore the connection between a finite graph, a directed graph, and a matrix. Graph lines and identify the relationship of matrices in real-world scenarios. Then use this information to work with a partner to plan and design a town...
Curated OER
Forms of Quadratic Equations
Transformations of parabolas to fit a particular quadratic equation is taught through this lesson. In this transforming parabolas to fit a particular quadratic equation lesson, learners describe the transformations of the parabola...
Curated OER
Rainbows, Bridges & Weather, Oh My!
Explore how real-world applications can be parabolic in nature and how to find quadratic functions that best fit data. A number of different examples of modeling parabolas are explored including a student scavenger hunt, the exploration...
Curated OER
Computer Graphing Calculator Explorations
High schoolers explore the graphing calculator feature on the Macintosh computer to explore some "parent" functions and their translations, combinations, and composites.
Curated OER
Translations and Scale Changes
Students perform translation and transformation of functions. In this algebra lesson, students write the formula for the different transformation and graph given translation. They compare the change to the parent function.
Curated OER
Comprehension of Word Problems
Third graders explore math functions by completing a worksheet in class. In this word problem solving lesson plan, 3rd graders read a book titled Counting on Frank by Rod Clement and utilize the information in the story to answer study...
Curated OER
Algebra
Learners practice using a function machine online to help them with functions. They examine the relationship between input and output. They discover the rule for the change when completing these types of problems.
Curated OER
Exploring Function Graphs
Tenth graders investigate three different sets of data that relate temperature to another variable in the physical world. These illustrate linear, inverse and exponential relationships.