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Khan Academy

Khan Academy: Features of Quadratic Functions: Strategy

For Students 9th - 10th Standards
Identify the form of a quadratic function that immediately reveals a given feature of that function. Features in question are the y-intercept of the graph, the zeroes ('roots') of the function, and the vertex of the parabola.
Unit Plan
PBS

Pbs: Modeling the Linear Relationship Between Fahrenheit and Celsius

For Students 6th - 8th
Explore the relationship between degrees Fahrenheit and degrees Celsius. This video focuses on developing an expression to model the relationship between the temperature scales using a line graph to calculate slope and the y intercept.
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Slope & Line Equations

For Students 9th - 10th
This site from the Northeast Parallel Architectures Center, Syracuse University has a very substantial discussion of math topics slope & line equations. The outline form is quite useful if you need to zero in on one aspect of...
Handout
Purple Math

Purplemath: Graphing Quadratic Functions: Introduction

For Students 9th - 10th Standards
The most basic quadratic is y = x2. The general technique for graphing quadratics is the same as for graphing linear equations. The quadratics graph as curvy lines (called "parabolas"), rather than the straight lines generated by linear...
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.
Unit Plan
Purple Math

Purplemath: Solving One Step Linear Equations

For Students 7th - 9th Standards
Demonstrates step-by-step, with illustrations, how to solve linear equations. Also explains the formatting and reasoning for 'no solution' and 'all x' equations. Includes interactive tool for practice solving linear equations.
Activity
Purple Math

Purplemath: Algebra Resources

For Students 9th - 10th
Purplemath contains about 40 different lessons on various algebra topics. The lessons are divided into five different sections: preliminary topics, beginning algebra, intermediate algebra, advanced algebra, and word problems. The lessons...
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: S Id.7 Used Subaru Foresters

For Teachers 9th - 10th
Jane wants to sell her Subaru Forester and does research online to find other cars for sale in her area. She examines the scatterplot of price versus age and determines that a linear model is appropriate. Answer a variety of questions...
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: Beginning Algebra: Graphing Linear Inequalities

For Students 9th - 10th Standards
A tutorial on how to graph a linear inequality in two variables. The tutorial offers step-by-step instruction and examples of how to graph linear inequalities.
Lesson Plan
Alabama Learning Exchange

Alex: Human Slope

For Teachers 9th - 10th Standards
Young scholars will participate in this discovery activity intended for them to uncover the role each variable plays in the graph of a line in the form y = mx + b. Students will actually demonstrate lines in slope intercept form on a...
Unit Plan
Math.com

Math.com: Algebra: Graphing Linear Equations

For Students 6th - 8th Standards
The lesson investigates how to graph linear equations. The tutorial includes definitions, examples, and a worksheet.
Activity
Texas Instruments

Texas Instruments: Adding Marbles

For Teachers 9th - 10th
Each time students add ten marbles to a container filled with a small amount of water, they measure the height of the water. Students will examine their data and develop linear equations.
Activity
Texas Instruments

Texas Instruments: Investigating Equations of Lines

For Teachers 9th - 10th
In this activity, students explore the equations of lines written in the form: y = mx + b. They move points defining the lines, and view the related changes in the parameters of the equations.
Activity
Texas Instruments

Texas Instruments: Using the Transform Application in an Algebra Class

For Teachers 9th - 10th
This activity is intended to be a discovery activity for students to determine the effect that changing m and b have on the equation y=mx+b. There is a teacher guide and an activity to determine the student's level of understanding.
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Perpendicular Lines in the Coordinate Plane

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Use slopes to determine if two lines are perpendicular.
Activity
Other

University of Wisconsin: Finding the Slopes of Lines

For Students 6th - 8th Standards
This is an interactive page that provides the user with practice for finding the slope of a line. The site has a list of seven questions and requires the user to change the graph to fit the given required slope.
Handout
Purple Math

Purplemath: Solving Literal Equations

For Students 9th - 10th Standards
Provides a lesson on solving literal equations, explains how they are similar to solving linear equations, and works through numerous examples showing how different types of literal equations are solved.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ee Proportional Relationships, Lines, and Equations

For Teachers 8th Standards
In this task, 8th graders are shown the graphs of two lines with the same slope. They are given the equation for the first line and the coordinates of a point on the second and are asked to find the equation for the second line. Aligns...
Unit Plan
CK-12 Foundation

Ck 12: Geometry: Parallel Lines in the Coordinate Plane

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Use slopes to determine if two lines are parallel.
Unit Plan
Khan Academy

Khan: Lesson 5: Relationships Among Linear Equations, Lines in Coordinate Plane

For Students 9th - 10th Standards
This lesson focuses on the relationship between algebraic, graphical, and contextual expressions of linear equations.
Graphic
Interactive Mathematics

Interactive Mathematics: More on Curve Sketching

For Students 9th - 10th Standards
Examples are presented to demonstrate the steps for sketching curves that are not polynomials. Using x- and y-intercepts, limits, domain and range, maxima and minima, second derivatives and general behavior the graphs are constructed...
Graphic
Interactive Mathematics

Interactive Mathematics: Curve Sketching

For Students 9th - 10th Standards
Sketches of functions are drawn by determing important points: x- and y-intercepts, local maxima and minima, and point of inflection. The general shapes of specific functions are illustrated to help identify characteristics of each type...
Handout
Northeast Parallel Architectures Center, Syracuse University

Npac Reu Program: Graphing With Coordinates in the Plane

For Students 9th - 10th
This site from the Northeast Parallel Architectures Center, Syracuse University provides a good five-part basic graphing instructor. Covers all the basics clearly. It is divided into links for easier navigation.
Activity
Windstream

Ojk's Precalculus Study Page: Functions of Two Variables

For Students 9th - 10th Standards
An introduction to functions with two variables, including several examples relating to linear programming. The tutorial includes graphical examples of the functions and also review questions located at the bottom of the page.

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