EngageNY
Analyzing a Verbal Description
What function will describe the insect population growth? Pairs or small groups work together to determine which type of function and specific function will model given scenarios. The scenarios differentiate between linear, exponential...
EngageNY
Overcoming a Third Obstacle to Factoring— What If There Are No Real Number Solutions?
Time for pupils to use their imagination! Learners examine the relationship between a system with no real solution and its graph. They then verify their discoveries with algebra.
EngageNY
Obstacles Resolved—A Surprising Result
The greater the degree, the more solutions to find! Individuals find the real solutions from a graph and use the Fundamental Theorem of Algebra to find the remaining factors.
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.
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.
West Contra Costa Unified School District
Multiple Representations of Equations
class members first work through finding the equation, table of values, graph, and key features of a linear function expressed verbally. Individuals then work through several more problems given different representations.
Curated OER
The "U's" Have IT!
Students explore the maximum and minimum values of parabola. For this exponential equations lesson, students use graphing calculators or TI Interactive Software to calculate values of parabola and graph x-intercepts of parabola.
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
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
Podcasting Parabolas
Students explore parabolas. In this algebra and technology instructional activity, students construct the equation of a specific parabola, then take digital photos of real-life representations of these parabolas. Students create a...
Curated OER
Discovering Different Types of Functions
Graph polynomials and identify the end behavior of each polynomial function. The class differentiates between linear, quadratic, and other polynomial equations.
Curated OER
Off to College
High schoolers investigate linear, quadratic and exponential equations using the TI calculator. They identify relation and functions using ordered pairs, graph the data, analyze the data, and relate it to real-world situations.
Curated OER
The football and Braking Distance; Model Data with Quadratic Functions
Students use the quadratic formula to solve application problems. The first problem relates to the path of a football thrown from the top of the bleachers. Students compute the time it will take the football to reach certain heights. In...
Curated OER
Collecting And Fitting Quadratic Data
High schoolers investigate the concept of using quadratic data to plot coordinates on a plane. They also apply the quadratic formula for a variety of problems with the help of a graphing calculator to draw the parabola for given...
Curated OER
Quadratic Functions - Max and Min
Students identify the maxima and minima of quadratic functions. After a teacher explanation and demonstration of quadratic functions, students solve quadratic equations and graph the solution to find the maxima and minima of each...
Curated OER
Linear Graphs and Patterns
Fifth graders find pairs of whole number co-ordinates and use them to draw graphs in problem contexts. They find and interpret the all meaningful pairs of whole number co-ordinates from graphs.
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
Quadratic Equations and Parabolas
Students graph and solve quadratic equations. In this functions lesson, students analyze a quadratic equation using three points on a curve to define the graph of a quadratic function. They find the vertex and intercepts of the graph.
Curated OER
Quadratics and Parabola
In this algebra worksheet, 11th graders graph parabolas using the vertex and axis of symmetry. They apply parabolas to word problems as it applies to paths taken. There are 4 problems with an answer key.
Curated OER
Ellipses (Part 1)
Students work with Ellipses in Algebra II. In this algebra instructional activity, students solve an equation with a radical expression. They graph ellipses and write an equation for them.
Curated OER
Solving Quadratic Equations by Graphing
Learners solve quadratic equation by graphing. In this algebra lesson, students use the TI calculator to get a visual of their graph. They create a table of values, plot their points and graph the parabola.
02 x 02 Worksheets
Factoring
Factor in this resource when teaching how to factor polynomials. Scholars use algebra tiles to factor linear and quadratic expressions. They practice their skill by working on example problems from a worksheet.
Virginia Department of Education
Functions 2
Demonstrate linear and quadratic functions through contextual modeling. Young mathematicians explore both types of functions by analyzing their key features. They then relate these key features to the contextual relationship the function...
EngageNY
Are All Parabolas Similar?
Congruence and similarity apply to functions as well as polygons. Learners examine the effects of transformations on the shape of parabolas. They determine the transformation(s) that produce similar and congruent functions.