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# Geometry & Measurement site for teachers | PowerPoint show | Acrobat document | Word document | whiteboard resource | sound | video format | interactive lesson | a quiz | lesson plan | to print

 Geometry & Measurement Mathematics Curriculum Standards 3102 - Algebra I Internet Resources Checks for Understanding (Formative/Summative Assessment) 4.1 | 4.2 | 4.3 | 4.4 | 4.5 Using algebraic expressions solve for measures in geometric figures as well as for perimeter, area, and volume. 3102.4.1 Use the Pythagorean Theorem to find the missing measure in a right triangle including those from contextual situations. 3102.4.2 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 Understand horizontal/vertical distance in a coordinate system as absolute value of the difference between coordinates; develop the distance formula for a coordinate plane using the Pythagorean Theorem. 3102.4.3 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 Develop the midpoint formula for segments on a number line or in the coordinate plane. 3102.4.4 Use dimensional analysis to convert rates and measurements both within a system and between systems and check the appropriateness of the solution. 3102.4.5 State Performance Indicators 4.1 | 4.2 | 4.3 | 4.4 Develop and apply strategies to estimate the area of any shape on a plane grid. SPI 3102.4.1 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. Solve contextual problems using the Pythagorean Theorem. SPI 3102.4.2 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. Solve problems involving the distance between points or midpoint of a segment. SPI 3102.4.3 Convert rates and measurements. SPI 3102.4.4 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]  Internet4classrooms is a collaborative effort by Susan Brooks and Bill Byles. 