Virginia Department of Education
Nonlinear Systems of Equations
Explore nonlinear systems through graphs and algebra. High schoolers begin by examining the different types of quadratic functions and their possible intersections. They then use algebraic methods to solve systems containing various...
Curated OER
Exploring Quadratic Data : Transformation Graphing
High schoolers analyze the vertex form of a parabola and find an approximate fit of a model. They explain the quadratic parabola function and its properties by developing quadratic models. They use translation and dilation to change the...
Curated OER
Profit of a Company
Your business executives choose which of three equivalent forms of a quadratic equation is the most useful for finding various pieces of information in this task centered on a company's profits.
Curated OER
Explore Learning Exponential Functions
High schoolers graph exponential equations and solve application problems using exponential functions. They re-enact a story about a peasant worker whose payment for services is rice grains doubled on a checker board. They place M &...
Mathalicious
Out of Left Field
A baseball trajectory and a parabola seem to make the best pair in real-world quadratic applications. Here is a current baseball resource with questions, discussions, and explorations regarding a quadratic function and home run...
Curated OER
Matchstick Math: Using Manipulatives to Model Linear, Quadratic, and Exponential Functions
Playing with matches (unlit, of course) becomes an engaging learning experience in this fun instructional unit. Teach pupils how to apply properties of exponential functions to solve problems. They differentiate between quadratic and...
Curated OER
Quadratic Functions
In this graphing quadratic equations worksheet, learners find the vertex and graph the parabola for 24 quadratic equations. The final four are factored into binomials to increase accuracy of the x intercepts.
Texas Instraments
Getting Started Dilemma
Get out those thinking caps and apply graphing functions to a real-world problem. Use the TI-83 graphing calculator to evaluate algebraic expressions that are imbedded in a series of real-world scenarios. A great lesson!
Texas Instruments
Classifying Functions
Learners explore linear, quadratic, and exponential functions in this activity that makes use of TI Navigator and TI Plus calculators. Using the technology, learners compare and contrast the three types of functions given in the activity.
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.
West Contra Costa Unified School District
Graphing Family of Functions
Functions have families, too. Learners first graph the parent functions for linear, quadratic, and cubic functions, and then use vertical translations to graph families of functions.
West Contra Costa Unified School District
Graphing Exponential Functions
Once you know how to graph y = b^x, the sky's the limit. Young mathematicians learn to graph basic exponential functions and identify key features, and then graph functions of the form f(x) = ab^(x – h) + k from the function f(x) = b^x.
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.
Curated OER
Graphing Quadratic Functions
Students graph quadratic functions. For this algebra lesson, students identify the vertex and intercepts of a quadratic equations and graph the parabola. They find the axis of symmetry and make a table to find the values of the parabola.
PBS
Toothpicks and Transformations
High schoolers investigate quadratic functions using geometric toothpick designs. They review transformations of quadratic functions-vertical and horizontal shifts, and stretches and shrinks. Students match the symbolic form of 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
Comparing Quadratic, Square Root, and Cube Root Functions Represented in Different Ways
Need a real scenario to compare functions? This lesson has it all! Through application, individuals model using different types of functions. They analyze each in terms of the context using the key features of the graphs.
West Contra Costa Unified School District
Factoring Quadratic Expressions
Factor in different strategies in a lesson plan for factoring quadratics. Young mathematicians first create tables and area models to factor quadratic trinomials into two binomials by guess and check. Learners then investigate how they...
Alabama Learning Exchange
Building Functions: Composition of Functions
Hammer away at building different types of functions. An engaging lesson builds on learners' knowledge of domain and range to create an understanding of composite functions. Young scholars learn to write composite functions from various...
West Contra Costa Unified School District
Introduction to Inverse Functions
Ready to share the beauty of the inverse function with your classes? This algebra II instructional activity guides the discovery of an inverse function through a numerical, graphical, and an algebraic approach. Connections are made...
02 x 02 Worksheets
Inverse Functions
Young mathematicians look for patterns in inverse functions as they relate to the original functions. The comprehensive lesson emphasizes vocabulary throughout as well as algebraic and graphical characteristics of the inverse functions.
Curated OER
Transformations of a Quadratic Function
Pupils graph quadratic functions. In this algebra lesson, students perform transformation on the TI calculator as they create a visual. They identify the vertex and intercepts of the parabola.
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...
EngageNY
Modeling a Context from Data (part 2)
Forgive me, I regress. Building upon previous modeling activities, the class examines models using the regression function on a graphing calculator. They use the modeling process to interpret the context and to make predictions based...
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