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Math Graphs

Houghton Mifflin: Math Graphs: Solutions on a Slope Field 38 [Pdf]

For Students 9th - 10th
The exercise examines the relationship between a differential equation, a point, and a slope field. Learners sketch two approximate solutions and use integration to find the particular solution. The practice problem is available in PDF...
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Math Graphs

Houghton Mifflin: Math Graphs: Solutions on a Slope Field 39 [Pdf]

For Students 9th - 10th
The exercise examines the relationship between a differential equation, a point, and a slope field. Students sketch two approximate solutions and use integration to find the particular solution. The practice problem is available in PDF...
Graphic
Interactive Mathematics

Interactive Mathematics: The Derivative

For Students 9th - 10th
The examples presented here demonstrates finding the derivative of a function using "h" rather than "delta x" notation. Graphs are included as a visual aid.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Equations of Perpendicular Lines

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers determining if two lines are parallel, perpendicular, or neither and finding the equation of perpendicular lines to a given line.
Interactive
Government of Alberta

Learn Alberta: Math Interactives: Exploring Square Roots Video

For Students 6th - 8th Standards
This video illustrates the concepts of square roots, slope, and the Pythagorean Theorem as they are used in designing and constructing skate park rails, ramps, and pipes. An interactive activity is also included where students are able...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Forms of Linear Equations

For Students 9th - 10th
[Free Registration/Login may be required to access all resource tools.] Write linear equations in standard form and find the slope and y-intercept of such lines.
Interactive
Physics Aviary

Physics Aviary: Acceleration on a Planet Lab

For Students 9th - 10th
This lab was designed to have students test the factors that affect the acceleration due to gravity on a planet. Students will be able to modify the planet and then drop an object to determine the acceleration on the planet. As the...
Handout
Interactive Mathematics

Interactive Mathematics: Graphs of Linear Functions

For Students 9th - 10th Standards
A brief overview of three methods used to graph lines is presented through examples. Slope-intercept, point-slope, and intercept form are demonstrated step-by-step along with a review of the formula for finding the slope of a line.
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Khan Academy

Khan Academy: Advanced Reflections

For Students 9th - 10th Standards
Find the reflection that maps a given figure to another and draw the image of a reflection. The lines of reflection in this exercise have a wide range of slopes. Students receive immediate feedback and have the opportunity to try...
Unit Plan
Sophia Learning

Sophia: Finding Rate of Change: Lesson 4

For Students 7th - 8th Standards
This lesson demonstrates how to determine the rate of change between two points on a graph. It is 4 of 5 in the series titled "Finding Rate of Change."
Unit Plan
Texas A&M University

Wtamu Virtual Math Lab: College Algebra: Parallel and Perpendicular Lines

For Students 9th - 10th Standards
Given a line, learn how to find the equations for lines that are perpendicular and parallel to it. This tutorial offers several example graphs and problems as well as practice problems for you to work through when you're ready.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.ee Sore Throats, Variation 2

For Teachers 8th Standards
In this task where two saltwater solutions are compared, 8th graders must find equivalent ratios, write an equation that works for both solutions, draw the equation's graph, and interpret the slope as a unit rate. Aligns with 8.EE.B.5.
Activity
Texas Instruments

Texas Instruments: Graphic Line Designs

For Teachers 9th - 10th
Students can use the x- and y-intercepts to find the equations of lines and create a line design using the slope-intercept form and the limited domain of the segment.
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: 8.f Downhill

For Teachers 8th
In this task, a car is traveling down a steep hill. Students are given the function for elevation versus distance from the start and are asked to find and explain the slope and intercepts of the graph. Aligns with 8.F.B.4.
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...
Activity
Texas Instruments

Texas Instruments: Math Today for Ti Navigator System: More Students Apply Early

For Teachers 9th - 10th
Using the USA TODAY Infograph, "More students apply early," students will explore scatter plots and independent and dependent variables. Students will determine a best-fit regression model for the real-life data set and then use the...
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Families of Lines

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Find the equation of a line that is parallel or perpendicular to a given line.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Rates of Change

For Students 9th - 10th Standards
[Free Registration/Login may be required to access all resource tools.] Find the rate of change associated with real-world scenarios.
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Khan Academy

Khan Academy: Antiderivatives and Indefinite Integrals

For Students 10th - 12th
Test your skills at finding antiderivatives.
Handout
Math Open Reference

Math Open Reference: Intercept of a Line

For Students 9th - 10th
A complete reference guide to finding the intercept of a line. It provides definitions, examples, and an interactive activity that enhances further explanation. Includes links to related topics.
Activity
Stefan Warner and Steven R. Costenoble

Finite Mathematics & Applied Calculus: Equation of a Line

For Students 9th - 10th Standards
The tutorial explores how to find the equation of a line. Students learn about the concept through class notes, examples, and practice problems. Review exercises and a chapter quiz are included.
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Math Graphs

Houghton Mifflin: Math Graphs: Solutions on a Slope Field 40 [Pdf]

For Students 9th - 10th
Students investigate how to use a differential equation, point, and slope field to find approximate and particular solutions of a given differential equation. The handout consists of an enlarged printable version of a slope field in PDF...
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Math Graphs

Houghton Mifflin: Math Graphs: Solutions on a Slope Field 41 [Pdf]

For Students 9th - 10th
Students investigate how to use a differential equation, point, and slope field to find approximate and particular solutions of a given differential equation. The handout consists of an enlarged printable version of a slope field in PDF...
Unknown Type
Math Graphs

Houghton Mifflin: Math Graphs: Solutions on a Slope Field 44 [Pdf]

For Students 9th - 10th
Learners use integration and a slope field to find particular and approximate solutions of a given differential equation. The handout is available in PDF format and includes a slope field.

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