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Handout
Purple Math

Purplemath: Completing the Square: Solving Quadratic Equations

For Students 9th - 10th Standards
Purplemath gives several examples which clearly show the process of completing the square to find the maximum and minimum solutions to a quadratic equation.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Bf Building Explicit Quadratic Function: Composition

For Teachers 9th - 10th Standards
For this task, students work through the steps and operations involved in the composition of an explicit quadratic function. The task assumes that the students are familiar with the process of completing the square. Aligns with F-BF.B.3...
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Interactive
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Completing the Square

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains how to solve quadratic equations by completing the square. The quadratic formula is derived using this method on this page. Point this site out to students who have been absent or who...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Identifying Functions

For Teachers 9th - 10th Standards
In this task, learners are shown a table with linear, quadratic, and exponential functions at various values of x and are asked to match the function type to each data set and explain their reasoning. Aligns with F-LE.A.1.b and F-LE.A.1.c.
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Activity
Lawrence Hall of Science

The Math Page: Topics in Pre Calculus: Basic Graphs

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains the graphs of the major mathematical functions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to...
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Handout
Other

Completing the Square to Get a Quadratic Function Into Standard Form

For Students 9th - 10th Standards
This site shows students how to put a quadratic function into standard form by completing the square.
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Activity
Richland Community College

Richland Community College: Math 116 Lecture Notes

For Students 9th - 10th Standards
This site from the Richland Community College provides the detailed lecture notes to a college algebra course, complete with equations and definitions. Content ranges from "functions and their graphs" to "conics and parametric equations."
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Interactive
Oswego City School District

Regents Exam Prep Center: Interactive Games and Puzzles for Algebra 2 & Trig

For Students 9th - 10th
This educational resource consists of interactive games and puzzles that investigate algebra and trigonometry concepts. Some concepts included are functions, quadratics, and trigonometric graphs. [Requires Java Plugin.]
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Activity
Texas Instruments

Texas Instruments: Explore Graphs and Factors

For Students 9th - 10th Standards
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...
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F if.c.7.a, a sse.b.3, F if.c.7: Graphs of Quadratic

For Teachers 9th - 10th
During this task, students will realize that equivalent expressions produce the same graph. The lesson will lead to discussions about the value of different forms of equations. Aligns with F-IF.C.7.a, A-SSE.B.3, and F-IF.C.7.
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Website
Discovery Education

Discovery Education: Web Math: Algebra

For Students 9th - 10th
This WebMath site provides links to tutorials and lessons in both Algebra I and II. Links to topics such as factoring, solving equations, polynomials, simplifying equations, graphing, and much more.
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Lesson Plan
Khan Academy

Khan Academy: Lsn 13: Systems of Equations, Algebraic and Graphical Representations

For Teachers 9th - 10th Standards
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...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 1 [Pdf]

For Students 9th - 10th Standards
Learners use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 2 [Pdf]

For Students 9th - 10th Standards
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 3 [Pdf]

For Students 9th - 10th Standards
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 4 [Pdf]

For Students 9th - 10th Standards
Students use a scatter plot to determine whether data can be modeled by a linear function, a quadratic function, a trigonometric function, or that there appears to be no relationship between x and y. The resource consists of an enlarged...
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 7 [Pdf]

For Students 9th - 10th Standards
Learners use a given scatter plot to identify whether the data can be modeled by a linear, quadratic, or trigonometric function. The math graph is available in PDF format.
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Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Fitting Models to Scatter Plots 8 [Pdf]

For Students 9th - 10th Standards
Learners use a scatter plot to identify whether the data can be modeled by a linear, quadratic, or trigonometric function. The math graph is available in PDF format.
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Activity
Math Medics

S.o.s. Math: The "Cubic" Formula

For Students 9th - 10th
This tutorial supplies a general formula (similar to the quadratic formula) to find the roots of a cubic polynomial.
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Activity
Math Is Fun

Math Is Fun: Algebra

For Students 9th - 10th Standards
Through this collection of definitions, lessons, problem-solving steps and strategies, and example questions, you'll learn why completing an algebra problem is a lot like solving a puzzle. After viewing introductory material and basic...
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Handout
Paul Dawkins

Paul's Online Notes: Algebra: Parabolas

For Students 9th - 10th Standards
Detailed math tutorial features notes and examples that investigate the process for graphing parabolas.
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Unit Plan
Khan Academy

Khan Academy: Equations & Inequalities Word Problems

For Students 9th - 10th Standards
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....
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Rei Two Squares Are Equal

For Teachers 9th - 10th Standards
This task asks students to solve a quadratic equation in as many different ways as they can. Aligns with A-REI.B.4 and A-REI.D.11.
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Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: F Le Exponential Growth Versus Polynomial Growth

For Teachers 9th - 10th Standards
In this problem, students compare the growth of exponential functions versus polynomial functions and find that an exponential function takes larger values than a cubic polynomial function provided the input is sufficiently large. Aligns...