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Mathematics Assessment Project
Functions
After identifying which of the given coordinate points fall on the graph of a line and which fall on the graph of a parabola, pupils write equations for each function.
West Contra Costa Unified School District
Conics Introduction and Parabolas
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.
Texas Instruments
Properties of Parabolas
Explore the properties of parabolas in this instructional activity. Construct a parabola given a focus and a directrix on the Ti-Nspire. Write equations of parabolas in vertex form and determine the a value of a parabola given a focus...
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
Quadratic Equations with the CBL 2
Learners practice generating parabolas with a motion sensor while determining the vertex form of the equation. They compare it to the regression equation from the calculator onto a data mate software. Each student completes several...
West Contra Costa Unified School District
Matching Quadratic Functions
Ever sigh when learners ask why they have to know so many different forms of the quadratic equation? Here is a lesson that comes in handy! Using hands-on matching activities, quadratic equations are explored through...
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...
Kuta Software
Using the Quadratic Formula
Your learners will get plenty of practice solving quadratic equations in a worksheet using the quadratic formula. An extension to this activity would nicely connect MP5 concepts. Have learners use a graphing program to graph the...
Shodor Education Foundation
InteGreat
Hands-on investigation of Riemann sums becomes possible without intensive arithmetic gymnastics with this interactive lesson plan. Learners manipulate online graphing tools to develop and test theories about right, left, and...
Concord Consortium
Sum and Product
From linear to quadratic with a simple operation. An exploratory lesson challenges learners to find two linear functions that, when multiplied, produce a given parabola. The task includes the graph of the sum of the functions as well as...
Virginia Department of Education
Transformational Graphing
Find relationships between the structure of a function and its graph. An engaging lesson explores seven parent functions and their graphs. Learners match functions to their graphs and describe transformations.
University of Texas
A Library of Parent Functions
Don't think this lesson is for Mom and Dad; parent functions are all for your high schoolers. Flip through a presentation with a focus slide on each type of graph and its characteristics. Some examples are included but the...
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.
Mathematics Assessment Project
Representing Functions of Everyday Situations
Functions help make the world make more sense. Individuals model real-world situations with functions. They match a variety of contexts to different function types to finish a helpful resource.
Curated OER
Standard Form of Quadratic Functions
Students factor quadratic equations. In this algebra lesson, students identify the factors and use them to graph the parabola. They find the parameters and vertex of each graph.
Curated OER
Graphs
In this graphs worksheet, students solve and complete 15 various types of problems. First, they determine the range of the function of the graph shown and write in interval notation. Then, students find the domain of the function in the...
Texas Instruments
Let's Play Ball with Families of Graphs
Learners explore quadratic equations in this Algebra II instructional activity. They investigate families of quadratic functions by graphing the parent function and family members on the same graph. Additionally, they write the equation...
Curated OER
Graphing Quadratic Functions
Pupils explore quadratic functions in this algebra lesson. They investigate transformation of quadratic functions using the TI calculator. They use the vertex form for this lesson.
Curated OER
Solving Quadratic Equations by Factoring
In this solving quadratic equations worksheet, 9th graders solve and complete 9 different types of problems. First, they graph each quadratic equation by factoring. Then, students find the axis of symmetry and the vertex. They also find...
Curated OER
Quadratic Functions and Stopping Distance
Students solve quadratic equations. In this algebra lesson, students factor and graph quadratic functions. they use the properties of quadratics to calculate the distance.
Flipped Math
Unit 10 Review: Quadratics
Everything one wanted to know about parabolas in one place. Pupils work 27 problems as a review of the unit on quadratics. Problems range from determining key features of the function and using that information to graph the parabola, to...
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.
Virginia Department of Education
Quadratic Curve of Best Fit
Class members create a table of the number of chords that can be drawn given the number of points on a circle. Pupils analyze the data created, find a function to fit to it, and use the function to make further predictions.
EngageNY
Modeling with Quadratic Functions (part 1)
Relevance is key! The resource applies quadratic modeling by incorporating application of physics and business. Pupils work through scenarios of projectile motion and revenue/profit relationships. By using the key features of the graph,...