## Algebra I Standards

## Geometry & Measurement

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Mathematics Curriculum Standards

3102 - Algebra IInternet Resources

- Animated Proof of the Pythagorean Theorem
- Demonstrate the Pythagorean Theorem - from NOVA
- How do I find the reciprocal of a decimal mixed number? - an answer to a student's question
- Interactive Proof of Pythagoras' theorem - This Java applet was written by Jim Morey. It won grand prize in Sun Microsystem's Java programming contest in the Summer of 1995.
- Nineteen Pythagorean Theorem applets
- Pythagorean Theorem - In this investigation students will learn more about the Pythagorean Theorem and see whether or not it works for triangles that are not right triangles.
- Pythagorean theorem - In this session, you will look at a few proofs and several applications of one of the most famous theorems in mathematics
- Proof of the theorem is demonstrated through a Quicktime animation
- Pythagorean Theorem - a java applet that allows students to investigate this theorem
- Pythagorean Theorem - This lesson will allow you to figure out the Pythagorean Theorem all by yourself.
- Pythagorean Theorem and its many proofs (43 to be precise)
- Pythagorean theorem and right triangle facts - given the length of three sides, determine if a right triangle is being described
- The Pythagorean Theorem, Distance Formula and Intro to Trigonometry - other practice activities
- Pythagorean Theorem Interactive - [Free activity provided by a commercial site] Learn that the Pythagorean Theorem describes the relationship between the lengths of the sides of a right triangle. Discover visual and algebraic proofs. Apply the Pythagorean Formula to find missing side lengths. Derive the distance formula for points in the coordinate plane.
- Rational Number and its Reciprocal - a step-by-step examination of a problem by Dr. Math
- Ratio of the Sides of a Right Triangle
- Solving a right triangle - This example illustrates how finding the height of the pyramid is equivalent to solving the right triangle. The virtual reality media can help students visualize the interrelation between the 3-dimensional pyramid and the 2-dimensional right triangle.
- Using the Pythagorean Theorem Once you know the equation a2 + b2 = c2 is true, then you can use it to solve all kinds of problems. Try the Pythagorean theorem with two other examples given on this page

- Absolute Value lesson from Purple Math
- Determining the Sign of Absolute Value Expressions - practice exercises at Math Pinball
- Pythagorean Theorem Interactive - [Free activity provided by a commercial site] Learn that the Pythagorean Theorem describes the relationship between the lengths of the sides of a right triangle. Discover visual and algebraic proofs. Apply the Pythagorean Formula to find missing side lengths. Derive the distance formula for points in the coordinate plane.
- Simplifying Basic Absolute Value Expressions - practice exercises at Math Pinball
- Solving Absolute Value Equations - a lesson from Purple Math

- Geometry in Action - various areas in which ideas from discrete and computational geometry (meaning mainly low-dimensional Euclidean geometry) meet some real world applications.
- 3-D Object Viewer - Students may explore a variety of 3-D objects and their accompanying 2-D views.
- Building Houses with Side View - student constructs a block figure (dynamic, perspective drawing) to match (10 different figures)
- Coloring 3-D sides - [UK spelling on this site] Find the red sides shown in a series of 2-D drawings and click on the right face of the 3-D model to color it red. 20 questions
- Coloring 2-D sides - Use the colored portion of the 3-D object to color the correct side of the 2-D drawing.
- Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded.
- Guess the View - Students are given a 3-D view of an object, and then given a 2-D view of the object. Students must choose which of 6 views is being displayed from a list.
- Plot Plans and Silhouettes - from Shape and Space in Geometry - the student task is to come up with plot plans that could match the given silhouettes. Background information is available at another page.
- Rotating Houses - Students are presented with a 3-D figure created with blocks that can be rotated and flipped using a mouse. The figure must be rotated until it matches a 2-D representation of one of the views.

- Pythagorean Theorem Interactive - [Free activity provided by a commercial site] Learn that the Pythagorean Theorem describes the relationship between the lengths of the sides of a right triangle. Discover visual and algebraic proofs. Apply the Pythagorean Formula to find missing side lengths. Derive the distance formula for points in the coordinate plane.

- British and Metric Conversions - a series of pages relating to converting to or from metric units
- Calculating the Density of a Liquid - tutorial on the math involved plus sample questions
- Calculating Density of a Solid - tutorial on the math involved plus sample questions
- Converting Fahrenheit to Celsius - interactive problem from Annenberg
- Converting Length Measurements - use your knowledge of meters, centimeters and millimeters to answer questions to build a shed
- Finding the Mass of an Object - tutorial on using a triple-beam balance which includes questions to answer
- Finding the Volume of an Object - tutorial on using a graduated cylinder which includes questions to answer
- Platform Scales Addition - weigh several items and find the sum in hundredths of a gram
or- Platform Scales Subtraction - weigh several items and find the difference in hundredths of a gram
or- Teaching Measures - links to length, mass, or capacity activities and printables - good for using on an interactive whiteboard for a whole class activity
- Transparency Master - use this high quality picture of a block of metal on a triple beam balance as a review for your students
- Using a Graduated Cylinder - [L and mL] a whole class activity for reading a scale, estimating and converting between units
or- Using a Platform Scale - practice using scales like the one in a doctor's office, five Gregs will drop on the scale, waiting to be weighed, see how quickly you can weigh them
or National Library of Virtual Manipulatives

- Geometry [Grades 9-12]
- Measurement [Grades 9-12]

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