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Windstream
Ojk's Precalculus Study Page: Quadratic Functions: Graphs
A tutorial devoted to the steps used to graph a quadratic function. Includes tables, graphs, and several sample problems.
Illustrative Mathematics
Illustrative Mathematics: F Bf Building a Quadratic Function From F(x) = X^2
This is the first of a series of tasks aiming at understanding the quadratic formula in a geometric way in terms of the graph of a quadratic function. Here the student works with an explicit function and studies the impact of additive...
Texas Education Agency
Texas Gateway: Determining Parent Functions (Verbal/graph)
Given a graph or verbal description of a function, the student will determine whether the parent function is quadratic or linear.
Texas Instruments
Texas Instruments: Explore Graphs and Factors
Students use a graphing calculator to explore the relationship between the linear factors of a quadratic function and its zeros. They learn that the x-intercepts and axis of symmetry of a quadratic function can be determined from its...
Texas Education Agency
Texas Gateway: Quadratics: Connecting Roots, Zeros, and X Intercepts
Given a quadratic equation, the student will make connections among the solutions (roots) of the quadratic equation, the zeros of their related functions, and the horizontal intercepts (x-intercepts) of the graph of the function.
Illustrative Mathematics
Illustrative Mathematics: F Le Finding Parabolas Through Two Points
For this task, learners are asked to find the quadratic functions that pass through two given points on a coordinate grid and to describe how their graphs are related. Aligns with F-LE.A.2.
BBC
Bbc: Higher Bitesize Maths: Quadratic Theory
A tutorial on quadratics presents topics including: factoring and solving quadratics, graphing quadratic functions, using completing the square and the quadratic formula to solve functions, the discriminant and conjugates. Plenty of...
University of Georgia
University of Georgia: Writing Quadratic Equations
In this lesson, students will learn how to find an equation of a quadratic function when given the vertex of the parabola, and how to find the equation that defines a quadratic function when given three points.
Illustrative Mathematics
Illustrative Mathematics: A Apr Zeroes and Factorization of Quadratic Polynomial
This is the first of a series of problems building to an understanding of an important property of polynomial functions, that a polynomial of degree d can have at most d roots. Aligns with A-APR.B.2.
Purple Math
Purplemath: Completing the Square: Solving Quadratic Equations
Purplemath gives several examples which clearly show the process of completing the square to find the maximum and minimum solutions to a quadratic equation.
Khan Academy
Khan Academy: Equations & Inequalities Word Problems
HSA-CED.A.1: Interactive resource which create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions....
Illustrative Mathematics
Illustrative Mathematics: F if Throwing Baseballs
In this task about the height of baseballs thrown into the air, students are asked to compare characteristics of two quadratic functions that are each represented differently, one as the graph of a quadratic function and one written out...
Mangahigh
Mangahigh: Algebra: Recognize the Equations of Common Curves
Students recognize and know the sketches of quadratics, cubics and recipricols including the shape of positive and negative functions and the interpretation of their y-intercepts.
Illustrative Mathematics
Illustrative Mathematics: A Rei Two Squares Are Equal
This task asks learners to solve a quadratic equation in as many different ways as they can. Aligns with A-REI.B.4 and A-REI.D.11.
National Council of Teachers of Mathematics
Nctm: Illuminations: Building Connections
For this lesson, students translate between pictorial, written, and verbal representations of polynomials.
Khan Academy
Khan: Lsn 8: Interpreting Relationships in Scatterplots/graphs/tables/equations
This lesson plan focuses on Interpreting and analyzing linear, quadratic, and exponential models and graphs. Students will use best fit lines to interpret contexts, distinguish whether contexts are linear or exponential functions, use...
Illustrative Mathematics
Illustrative Mathematics: F Le Choosing an Appropriate Growth Model
The goal of this task is to examine some population data for large cities from a modeling perspective. Students are asked to decide if the population data can be accurately modeled by a linear, quadratic, and/or exponential function, and...
Illustrative Mathematics
Illustrative Mathematics: F if a Sse Modeling London's Population
In this task, learners are shown a table of population data for the city of London and are asked to explore whether a linear, quadratic, or exponential function would be appropriate to model relationships within the data. They are next...
Khan Academy
Khan Academy: Lsn 13: Systems of Equations, Algebraic and Graphical Representations
Lesson 3 of 4 for Passport to Advanced Math. Students will solve systems of equations in two variables in which one equation is linear and the other equation is quadratic or another nonlinear equation; relate properties of the function f...
Purple Math
Purplemath: Completing the Square: Deriving the Vertex Formula
This resource describes in steps how to derive the vertex formula.
Math Planet
Math Planet: Algebra 2: Standard Deviation and Normal Distribution
Gain an understanding of standard deviation and normal distribution by viewing an example and a video lesson.
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