Geometry

[|Index to Math Open Reference] (Weblink) Alphabetical list of geometry terms with interactive diagrams that illustrate each concept.

[|Introduction to Geometry] (Flipchart) This flipchart is a basic introduction to Geometry: points, lines and planes. The flipchart contains movable objects (with an emphasis on student participation) and ACTIVotes.

[|Geometry Applets and Examples] (Weblink) Over 40 Applets on angles and parallel lines, congruent figures, quadrilaterals, similar figures

[|Geometry Applets] (Weblink) Over 20 applets on circles and the pythagorean theorem

[|Geometry Vocabulary] (Flipchart) This flipchart presents the vocabulary of geometry. There are numerous examples and practice opportunities to help demonstrate the concept.

[|Statements of Logic] (Flipchart) Statements of Logic flipchart, interactively involves the students first through a series of review question on deductive structure, and then into the meat of conditional statements as well and Venn diagrams.

[|Points, Lines and Planes: Math Open Reference] (Weblink) Interactive diagrams that show points, planes, and different types of lines.

[|Parallel Lines and Planes] (Flipchart) This flipchart defines parallel lines and planes. It defines a transversal and the concept of alternate angles and vertical angles.

[|Perpendicularity] (Flipchart) This flipchart looks at perpendicularity. There are two student activities, one with constructing perpendicular lines (student worksheet attached) and the other is the coordinate plane. Included is a definition of perpendicular line, examples with proofs and assessment.

[|Parallel Lines and Angles of a Transversal : Math Open Reference] (Weblink) An interactive diagram showing parallel lines and angles formed by a transversal.

[|Coordinate Plane] (Flipchart) In this lesson, students will learn the basics of the coordinate plane including quadrants, x and y axis, ordered pairs and the origin. A 5 question quiz is included to see if they "get it."

[|Coordinate Geometry]__ http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html __ Many applets that interactively demonstrate the concepts of geometry.

[|Learn to Use a Protractor] (Weblink) An animated demonstration on how to use a protractor.

[|Use a Protractor to Compare Angles] (Weblink) An interactive site wiht a protractor to manipulate and questions to answer.

[|Angle Measurement] (Flipchart) This flipchart uses the protractor tool to understand the classification and naming of angles: acute, obtuse and right.

[|Construct Congruent Angle] (Flipchart) This flipchart is a step by step process to teach how to use a compass to construct a congruent angle. The first 5 pages are for teacher demonstration. Students just watch. The last five pages repeat the process, but allow the teacher to walk around and help students. Print the last 5 pages 6 pages per sheet for handy student directions.

[|Angles: Math Open Reference] (Weblink) Interactive diagrams that illustrate types of angles, measuring angles, and angles around a transversal.

[|Complementary Angles] (Flipchart) Using a variety of Activstudio tools (protractor, highlight tool, slate, and Activotes) students explore complementary and supplementary angles. Photos of bridges engage students in finding these angles visually. Have fun.

[|Complementary and Supplementary Angles] (Flipchart) This flipchart contains Complementary and Supplementary angles. This lesson integrates proofs as well as matching, and integrated assessment through out the lesson.

[|Angle Relationships] (Flipchart) This flipchart explores angle relationships: supplementaty and complimentary, vertical, etc.

[|Illuminations: Lines in Geometry] (Weblink) There are many special lines in geometry that are singled out for their interesting properties. Many of these lines are included in this Interactive Geometry Dictionary (IGD). You can use the applets that accompany each definition to explore the definitions of the lines and some of their properties.

[|Parallel Lines and Angles] (Flipchart) This flipchart regards parallel lines and relationship of angles created by a transversal. Includes lesson on vocabulary, Jeopardy game, and quiz.

[|Parallel Lines and Angle Relationships] (Flipchart) Explore the relationships between parallel lines and the rules of angle measurements. Following are the terms defined: interior angles, exterior angles, transversal, congruent, and supplementary.

[|Parallel Line Chapter Review] (Flipchart) This is a flipchart review on parallel lines and their properties. It is to be used with ActivExpressions.

[|Properties of Quadrilaterals] (Flipchart) This flipchart lesson walks you through the properties of Quadrilaterals; trapezoids, squares, rectangles, and kites.

[|Quatrilaterals: Math Open Reference] (Weblink) Interactive diagrams for area, perimeter, and diagonals of squares, rectangles, parallelograms, trapezoids, rhombuses, and kites.

[|Quadrilaterals] (Flipchart) This lesson goes deep into properties of parallelograms and special quadrilaterals. It has class interaction, student interaction, student practice, and whole class assessment.

[|Quadrilaterals] (Flipchart) This flipchart teaches the sum of interior angles in a quadrilateral. It includes an introduction including vocabulary, teaching pages, opportunities for student interaction, and assessment using ActivExpressions.

[|Triangles: Math Open Reference] (Weblink) Interactive diagrams show many types of triangles, measuring triangles, and many other aspects of triangles.

[|Triangles and Angles] (Flipchart) Classify angles by their side and angles. Find angles and measure in triangles.

[|Triangle Inequality Relationships] (Flipchart) This flipchart details the relationships that exist between sides and angles in a triangle.

[|Special segments of triangles] (Flipchart) Special segments of triangles and their properties are explored. Medians, perpendicular bisectors, angle bisectors, and altitudes are drawn. Their properties are investigated. The importance of vocabulary terms and skills are stressed.

[|Special Lines in Triangles] (Flipchart) Students are introduced to medians, altitudes, perpendicular bisectors, and angle bisectors of triangles in this flipchart. Students will construct each segment using a compass and straightedge with instruction from the web.

[|Triangle Segments] (Flipchart) In this flipchart, students use the interactive features of Activstudio to understand how to use the properties of perpendicular bisectors, angle bisectors, medians and altitudes of a triangle.

[|Classifying Triangles] (Flipchart) Geometry problems centered around classifying triangles. Notes on remote interior angles.

[|Proving Statements about Angles] (Flipchart) This flipchart offers several theorems about angles. It also gives several examples of creating two column proofs of the theorems.

[|Proving Triangles Congruent using ASA and AAS] (Flipchart) Proving triangles congruent using AAS and ASA is explored. Various examples are demonstrated, and three proofs are included.

[|Congruence in Triangles] (Flipchart) This flipchart integrates SSS, SAS, ASA, AAS congruence. Included is practice with the postulates and theorems and logical reasoning with proof.

[|Congruency] (Flipchart) This is a fun activity determining whether a number of triangles are congruent or not. It’s a great warm-up or review.

[|Congruence: Math Open Reference] (Weblink) Interactive diagrams show differents tests for congruence.

[|Illuminations: Area in Geometry] (Weblink) The applets in this Interactive Geometry Dictionary (IGD) will show you how to find the area of some common shapes. The areas of the three shapes shown here are all related to each other. You can find the area of a triangle using the area of a parallelogram, which in turn can be found using the area of a rectangle.

[|Indirect Proof] (Flipchart) This flipchart explores indirect proof in formal Geometry.

[|Pythagorean Theorem] (Flipchart) This flipchart is a lesson on the Pythagorean Theorem. This has just about everything you need to teach the concept including, video, practice, and Activote assessment.

[|Using Pythagorean Theorem] (Flipchart) This lesson contains an step-by-step example of using Pythagorean Theorem and then two more examples to work out with students.

[|Pythagorean Triples] (Flipchart) Uses hidden objects, containers, and dual user function to have students practice using the Pythagorean Theorem and its "cousins" to find missing measures and classify triangles. Also practices identifying Pythagorean Triples.

[|Dynamic Paper from NCTM] (Weblink) Need a pentagonal pyramid that's six inches tall? Or a number line that goes from ‑18 to 32 by 5's? Or a set of pattern blocks where all shapes have one-inch sides? You can create all those things and more with the Dynamic Paper tool. Place the images you want, then export it as a PDF activity sheet for your students or as a JPEG image for use in other applications or on the web. [|Coordinate Geometry] (Flipchart) How to calculate the distance between two points and slope.

[|Investigating Regular Polygons] (Flipchart) In this lesson students are introduced to regular polygons. Students learn how to find the drawing angle of any given polygon, exterior angle, interior angle and the sum of the angles for a regular polygon with (n) sides.

[|Quadrilateral Quest] (Weblink) Interactive questions about quadrilaterals' angles, congruency, etc. Drag the shapes to check your answers.

[|Illuminations: Angle Sums] (Weblink) Examine the angles in a triangle, quadrilateral, pentagon, hexagon, heptagon or octagon. Can you find a relationship between the number of sides and the sum of the interior angles?

[|Polygons: Math Open Reference] (Weblink) Interactive diagrams of many types of polygons.

[|Polygons] (Flipchart) This is a lesson on interior and exterior angles of polygons. This has an interactive piece as well as an assessment piece.

[|Illuminations: Area Tool] (Weblink) Use this tool to determine how the length of the base and the height of a figure can be used to determine its area. Can you find the similarities and differences between the area formulas for trapezoids, parallelograms, and triangles?

[|Introduction to Circles] (Flipchart) This flipchart focuses on the introduction and vocabulary of circles.

[|Geometry - Line Segments in Circles] (Flipchart) Explains the relationship between segments formed when two chords intersect inside a circle, when a secant segment intersects a secant segment, or when a tangent segment intersects with a second segment outside a circle.

[|Circles: Math Open Reference] Weblink) Interactive diagrams that show parts of a circle, area and circumference, angles ina circle, arcs, and finding the center of a circle.

[|Illuminations: Circle Tool] (Weblink) How do the area and circumference of a circle compare to its radius and diameter? This applet allows you to investigate these relationships in the Intro and Investigation sections and then hone your skills in the Problems section.

[|Circles] (Flipchart) Students learn about the circle, pi, area, and area of sectors.

[|Illuminatons: Computing Pi] ( Weblink) The Greek mathematician Archimedes approximated pi by inscribing and circumscribing polygons about a circle and calculating their perimeters. Similarly, the value of pi can be approximated by calculating the areas of inscribed and circumscribed polygons. This applet allows for the investigation and comparison of both methods. [|Geometry Central Angles and Arcs of Circles] (Flipchart) "Pass the Pen" with this flipchart covering central angles and arcs of circles for geometry.

[|Transformations] (Flipchart) In this flipchart, students apply multiple transformations to create congruent and similar figures in any or all of the four quadrants. Students apply their geometric sense by using multiple transformations (combinations of translations, reflections, or rotations) to draw an image.

[|Transformations] (Weblink) Observe, understand, explore, or construct the following transformations: rotation, reflection, translation, enlargement, or combintations.

[|Volume of Prisms and Cylinders] (Flipchart) This flipchart covers how to find the volume of prisms and cones.

[|Surface Area and Volume] (Flipchart) This lesson is a surface area and volume review for prisms, pyramids and cylinders.

[|Similar Solids] (Flipchart) This flipchart uses the fact that solids are similar to determine surface area and volume of various objects.

[|Geometry Jeopardy-Style Game] (Weblink) This activity was designed for reviewing the topics of Geometry: Triangle Trivia, Transform Figures, Working in 3D, Power Grid and Going in Circles.