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.
Curated OER
Tale of the Tape
How can baseball and skeet-shooting be modeled mathematically? Sports lovers and young mathematicians learn how to use quadratic equations and systems of equations to model the flight paths of various objects.
Inside Mathematics
Graphs (2004)
Show your pupils that perimeter is linear and area is quadratic in nature with a short assessment task that requests learners to connect the graph and equation to a description about perimeter or area. Scholars then provide a...
Illustrative Mathematics
Transforming the graph of a function
This activity guides learners through an exploration of common transformations of the graph of a function. Given the graph of a function f(x), students generate the graphs of f(x + c), f(x) + c, and cf(x) for...
Curated OER
Linear and Quadratic System
Learners find the common point of a linear and quadratic system given a graph of the system. Then they find a specific point located only on the parabola.
Curated OER
Fibonacci II
Study Fibonacci sequences and see a related set of numbers. Learn and review Lucas numbers and use of quadratic equations to find a general term of a sequence of numbers that is generated by a recurrence relation similar to Fibonacci's.
Ohio Department of Education
The Solution is Complex
Consider complex numbers, roots, and quadratic equations. Use the discriminate as a way to determine the nature of a quadratic's roots. Then discuss the similarities and differences between quadratics with two, one, or no real roots....
CCSS Math Activities
Social Security Trust Fund
Will Social Security still be around when you retire? Given data on the predicted balance of the social security fund over time, scholars plot the points on a coordinate grid and determine if a quadratic regression fits the data. They...
Concord Consortium
Writing and Sketching I
Writing and sketching functions—what more could you want to do? Learners write and sketch functions that meet certain conditions as they complete a short task. They find a parabola that encompasses three quadrants of the coordinate plane...
Curated OER
Completing the Square
Solve equations by completing the square. The pupils factor quadratic equations and graph the parabola. They also identify the different terms in the equation and look for patterns.
Curated OER
Rumors
Your young gossipers write an exponential function for the number of people who have heard a rumor after a number of days have passed. Learners then answer a series of questions, including whether or not the solutions are realistic by...
Curated OER
Real-World Linear Programming
Explore linear programming on a website game. Partners solve a real-world problem by setting up an objective function and a linear inequality. They graph their results on chart paper and also using a calculator before presenting their...
Curated OER
Quadratic Inequalities
In this quadratic inequalities worksheet, students graph six quadratic inequalities. They solve two quadratic inequalities to identify one solution. In this quadratic inequalities worksheet, students draw the parabola and shade inside or...
Curated OER
Graphic Designing with Transformed Functions
Teach your class how to transform a graph! By identifying the domain and range of the functions, students can observe the parabola and find the vertex of the transformed graph.
Mathematics Vision Project
Quadratic Equations
Through a variety of physical and theoretical situations, learners are led through the development of some of the deepest concepts in high school mathematics. Complex numbers, the fundamental theorem of algebra and rational exponents...
Curated OER
Quadratics: Polynomial Form
Students determine how changes in the coefficients in a quadratic function affect its graph. They determine how to use the equation to determine the intercepts of a quadratic function. Students identify the location of the intercepts...
Curated OER
Quadratic Equations and Functions
Students factor and solve quadratic equations. In this algebra lesson, students identify the domain and range of the quadratic function. They graph the parabola and identify the vertex.
CPM
How to Recognize the Type of Graph from a Table
Linear, quadratic, and exponential functions are represented only by their table of values in this simple, well-written worksheet. Learners decide the type of graph represented based on the differences in the function values....
EngageNY
Mid-Module Assessment Task - Algebra 1 (module 4)
Performance task questions are the most difficult to write. Use this assessment so you don't have to! These questions assess factoring quadratics, modeling with quadratics, and key features of quadratic graphs. All questions require...
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.
Balanced Assessment
Local and Global Behavior
Create rules for numerical sequences. Pupils develop local rules and recursive rules for number sequences. The sequences are linear, quadratic, and cubic in nature. Scholars find that some local rules do not work, no matter where in...
Mathematics Vision Project
Circles and Other Conics
Through a variety of hands-on activities and physical scenarios, this far-reaching unit leads learners through an exceptionally thorough exploration of circles and parabolas as conic sections. Geometric construction techniques are used...
Virginia Department of Education
Square Patios
Build a patio from toothpicks and marshmallows to analyze functions! Learners look for patterns in the data as they create different size patios. As they discover patterns, they make connections between the different representations of...
West Contra Costa Unified School District
Average Rate of Change
Learners investigate average rates of change for linear functions and connect the concept to slope. They then determine average rates of change in quadratic and exponential functions.
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