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Area of a parallelogram. Definition and formula

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A web page and interactive applet showing the ways to calculate the area of a parallelogram. The user can drag the vertices of the parallelogram and the other points change automatically to ensure it remains a parallelogram. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area, which is continuously recomputed and displayed. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the rhombus is reshaped with the mouse. A companion page is http://www.mathopenref.com/parallelogram.html showing the definition and properties of a parallelogram Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Material Type: Reading, Simulation

Author: John Page

Relationship of area and perimeter of a triangle

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An interactive applet and associated web page that show the relationship between the perimeter and area of a triangle. It shows that a triangle with a constant perimeter does NOT have a constant area. The applet has a triangle with one vertex draggable and a constant perimeter. As you drag the vertex, it is clear that the area varies, even though the perimeter is constant. Optionally, you can see the path traced by the dragged vertex and see that it forms an ellipse. A link takes you to a page where this effect is exploited to construct an ellipse with string and pins. The applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Material Type: Reading, Simulation

Author: John Page

Area of a trapezoid. Definition and formula

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A web page and interactive applet showing the ways to calculate the area of a trapezoid. The user can drag the vertices of the trapezoid and the other points change automatically to ensure it remains a trapezoid. A grid inside the shape allows students to estimate the area visually, then check against the actual computed area. The text on the page gives three different ways to calculate the area with a formula for each. The applet uses one of the methods to compute the area in real time, so it changes as the trapezoid is reshaped with the mouse. A companion page is http://www.mathopenref.com/trapezoid.html showing the definition and properties of a trapezoid. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Material Type: Reading, Simulation

Author: John Page

Area of a triangle (Coordinate Geometry)

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An interactive applet and associated web page that calculate the area of a triangle using the formula method in coordinate geometry. The applet has a triangle with draggable vertices. As you drag them the triangle's area is recalculated from the vertex coordinates using the formula. The grid and coordinates can be turned on and off. The area calculation can be turned off to permit class exercises and then turned back on the verify the answers. The applet can be printed as it appears on the screen to make handouts. The web page has a full description of the method for determining area using the formula method, a worked example and has links to other pages relating to coordinate geometry. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Material Type: Reading, Simulation

Author: John Page

Order of Operations Made Easy!

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This lesson is about evaluating numerical expressions, and it was designed for adult learners who are preparing to take their High School Equivalency tests. This course will help the students evaluate numerical expressions correctly by following the correct order of operations, which includes the four basic arithmetical operations and the use of exponents and grouping symbols.

Material Type: Lesson

Author: Andres Chan

7.RP Robot Races, Assessment Variation

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This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The students in Carli’s class built some solar-powered robots which they raced in the cafeteria of the school. http://www.youtube.com/watch?v=wOI66f4BS...

Material Type: Activity/Lab

Author: Illustrative Mathematics

A+ Click K-12 Math Test

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A+ Click is an interactive collection of more than 3700 math problems and answers for K-1 K-12 school program. It defines the personal level of math knowledge. You move up into the next level if you give 5 correct answers in a row. Practice makes perfect.

Material Type: Activity/Lab, Assessment, Game, Lecture Notes

Author: Igor Kokcharov

CK-12 Biology (CA Textbook)

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Submitted as part of the California Learning Resource Network (CLRN) Phase 3 Digital Textbook Initiative (CA DTI3), CK-12 Foundation’s high school Biology FlexBook covers cell biology, genetics, evolution, ecology, botany, zoology, and physiology. This digital textbook was reviewed for its alignment with California content standards.

Material Type: Textbook

Author: Douglas Wilkin Ph.D.

College Physics for AP Courses

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College Physics for AP Courses is designed to engage students in their exploration of physics and help them to relate what they learn in the classroom to their lives and to apply these concepts to the Advanced Placement test. Physics underlies much of what is happening today in other sciences and in technology, therefore the book includes interesting facts and ideas that go beyond the scope of the AP course to further student understanding. The AP Connection in each chapter directs students to the material they should focus on for the AP® exam, and what content — although interesting — is not necessarily part of the AP curriculum.

Material Type: Textbook

Authors: David Anderson, Douglas Ingram, Gregg Wolfe, Irna Lyublinskaya, John Stoke, Julie Kretchman, Liza Pujji, Nathan Czuba, Sudhi Oberoi

Types of Bonds and Naming

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Naming compounds is one of the most fudemental skills in general chemistry. Most likely you will be required to know naming rules for the reaminder of the semester! So how do you make sense of all of these rules? Take a look belwo for a systematic way to naming all basic general chemistry compounds. At the end of the module you should be able to...Idetify what time of bond a molecule conatinsDetermine the name from fromula for basic compoundsDetermine the formula form a name for basic compoundsAppropriately and correctly utilize the stock systemUtilize prefixes in naming basic organic compoundsCorresponding OpenStax Textbook Section 2.6, 2.7Types of BondsCovalent Naming RulesIonic Naming RulesPolyatomic Ion Naming RulesAcid Naming RulesIntroduction to Organic Naming 

Material Type: Module

Author: Raymond Chard

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