Annotated geometry technology resources


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Annotated geometry technology resources

  1. 1. G-1Geometry Standard 1:Students demonstrate understanding by identifying and giving examples of undefinedterms, axioms, theorems, and inductive and deductive reasoning.WEBSITE: Brainpop can be found on ED1 stop on the Contra Costa CountyOffice of education website. Short flash videos with quizzes and extension activitiestarget basic geometry concepts.WEBPAGE:
  2. 2. G-2Geometry Standard 2:Students write geometric proofs, including proofs by contradiction.WEBSITE: This site is a comprehensive definition of proofs by contradiction. It isappropriate for students who have interest in the topic.WEBPAGE:
  3. 3. G-3Geometry Standard 3:Students construct and judge the validity of a logical argument and give counterexamplesto disprove a statement.WEBSITE: Learning 360 is a compilation of standards articulated videos. Theyare available on Ed 1 stop on the Contra Costa County Office of Education site. Thislesson addresses geometry basics with a special emphasis on deductive and inductivereasoning and judging the validity of logical arguments. There is some advertising at thebeginning of the video, so it may be a good idea to cue it to the instructional delivery.WEBPAGE:
  4. 4. G-4Geometry Standard 4:Students prove basic theorems involving congruence and similarity.WEBSITE: This virtual manipulative allows the user to construct two trianglesfrom various combinations of sides and angles. The theorems are provided for reference.This simulation may be helpful for struggling learners.WEBPAGE:
  5. 5. G-5Geometry Standard 5:Students prove that triangles are congruent or similar, and they are able to use theconcept of corresponding parts of congruent triangles.WEBSITE: This has applets that address basic geometry concepts. This interactiveapplet demonstrates the concept of similarity between corresponding parts of congruenttriangles.WEBPAGE:
  6. 6. G-6Geometry Standard 6:Students know and are able to use the triangle inequality theorem.WEBSITE: This site offers text, graphics, simulations, worksheets and interactiveactivities on mathematical concepts. This lesson addresses the triangle inequalitytheorem. This site is appropriate for struggling learners.WEBPAGE:
  7. 7. G-7Geometry Standard 7:Students prove and use theorems involving the properties of parallel lines cut by atransversal, the properties of quadrilaterals, and the properties of circles.WEBSITE: This PowerPoint show includes definitions, graphics, sound, and links to helpintroduce parallel lines and transversals. Problems specific to the topic are given and solved.WEBPAGE:
  8. 8. G-8Geometry Standard 8:Students know, derive, and solve problems involving the perimeter, circumference, area,volume, lateral area, and surface area of common geometric figures.WEBSITE: This site has java applets that demonstrate basic geometry concepts.This particular applet solves the area of similar quadrilaterals.WEBPAGE:
  9. 9. G-9Geometry Standard 9:Students compute the volumes and surface areas of prisms, pyramids, cylinders, cones,and spheres; and students commit to memory the formulas for prisms, pyramids, andcylinders.WEBSITE: This site is appropriate for struggling learners needing a basicoverview of solid geometry. The text explanation and graphics are comprehensible andThis lesson explains the properties of solids.WEBPAGE:
  10. 10. G-10Geometry Standard 10:Students compute areas of polygons, including rectangles, scalene triangles, equilateraltriangles, rhombi, parallelograms, and trapezoids.WEBSITE: This site provides graphics and text explanation of quadrilaterals. It isappropriate for struggling learners. Supplementary worksheets are available on this topicand other basic geometry concepts.WEBPAGE:
  11. 11. G-11Geometry Standard 11:Students determine how changes in dimensions affect the perimeter, area, and volume ofcommon geometric figures and solids.WEBSITE: This site contains paper models of geometry figures that can be printedand assembled. It is an excellent resource for tactile learners who will understand theconcepts of perimeter, area and volume of geometric figures by creating the figures.WEBPAGE:
  12. 12. G-12Geometry Standard 12:Students find and use measures of sides and of interior and exterior angles of trianglesand polygons to classify figures and solve problems.WEBSITE: This applet demonstrates the concept that alternate exterior angles areequal if the lines are parallel. This site also contains an applet to demonstrate themeasure of interior angles.WEBPAGE:
  13. 13. G-13Geometry Standard 13:Students prove relationships between angles in polygons by using properties ofcomplementary, supplementary, vertical, and exterior angles.WEBSITE: This site offers step-by-step text explanation and worksheetsto reinforce basic geometry concepts. This particular activity addresses solvingcomplementary and supplementary angle relationships. This site is appropriate forstruggling learners.WEBPAGE:
  14. 14. G-14Geometry Standard 14:Students prove the Pythagorean Theorem.WEBSITE: This animation offers an explanation of the Pythagorean theorem thatmay be helpful to struggling learners. Shockwave must be loaded on the computer toview it.WEBPAGE:
  15. 15. G-15Geometry Standard 14:Students prove the Pythagorean Theorem.WEBSITE: This site offers virtual manipulatives to reinforce geometry concepts.This virtual puzzle demonstrates the Pythagorean theorem. It is appropriate for strugglinglearners.WEBPAGE:
  16. 16. G-16Geometry Standard 15:Students use the Pythagorean Theorem to determine distance and find missing lengths ofsides of right triangles.WEBSITE: This site offers the opportunity to interact with a graphical proof of thePythagorean Theorem. This simulation may be a helpful tool for hands on or visuallearners.WEBPAGE:
  17. 17. G-17Geometry Standard 16:Students perform basic constructions with a straightedge and compass, such as anglebisectors, perpendicular bisectors, and the line parallel to a given line through a pointoff the line.WEBSITE: This site provides graphics and a text explanation of perpendicularbisectors. Worksheets are available to print for practice. The search mechanism (buscar)on this site is in Spanish.WEBPAGE:
  18. 18. G-1 8Geometry Standard 17:Students prove theorems by using coordinate geometry, including the midpoint of a linesegment, the distance formula, and various forms of equations of lines and circles.WEBSITE: This site is accessed through Ed 1 stop on the Contra Costa Countyoffice of Education site or at the above web address. This excerpt on circles is from anonline geometry book called a flex book. The pages can be printed and collated specificto standard.WEBPAGE:
  19. 19. G-19Geometry Standard 18:Students know the definitions of the basic trigonometric functions defined by the anglesof a right triangle. They also know and are able to use elementary relationships betweenthem. For example, tan(x) = sin(x)/cos(x), (sin(x))2 + (cos(x)) 2 = 1.WEBSITE: This interactive graphing simulation reinforces the concept oftrigonometric functions. The sine curve can be calculated from the inputted values.WEBPAGE:
  20. 20. G-20Geometry Standard 19:Students use trigonometric functions to solve for an unknown length of a side of a righttriangle, given an angle and a length of a side.WEBSITE: This applet demonstrates the trigonometric function of computing thelengths of the side of a triangle given the angle and length of a side.WEBPAGE:
  21. 21. G-21Geometry Standard 20:Students know and are able to use angle and side relationships in problems with specialright triangles, such as 30°, 60°, and 90° triangles and 45°, 45°, and 90° triangles.WEBSITE: This site has many interactive animations to demonstrate geometricconcepts. This lesson identifies the importance of the relationship between angles andproportions.WEBPAGE:
  22. 22. G-22Geometry Standard 21:Students prove and solve problems regarding relationships among chords, secants,tangents, inscribed angles, and inscribed and circumscribed polygons of circles.WEBSITE: This site is available through curriculum support on ED1 stop on theContra Costa County Office of education site or at the web address listed above. Thissite is the publisher provided support for the Glencoe Geometry textbook. It is anexcellent resource for chapter assessments, quizzes, work sheets, California standardspractice, read world application problems and the personal tutor seen below.This particular lesson is a real word application of secants, tangents and angle measures.WEBPAGE:
  23. 23. G-23Geometry Standard 22:Students know the effect of rigid motions on figures in the coordinate plane and space,including rotations, translations, and reflections.WEBSITE: This site is appropriate for struggling learners and allows the user toenact a simulation in a video game format to grasp the concepts of reflection, rotation andtransformation.WEBPAGE: