UNIT III: Parallel and Perpendicular Lines
UNIT IV: Triangle Relationships and Triangle Congruence
eTools- 1 AnalyzeMath: Perpendicular Bisectors
This site has a link to an applet that allows you to show students how the intersection of all three perpendicular bisectors is the circumcenter. Games- 2 NLVM: Triangle Congruency
This virtual manipulative allows you to utilize the theorems with triangle congruency. Graphing Calculator- 3 CabriJr: Angle Bisector Theorem
This activity is set up to be used with the TI-Nspire Calculator, but could be adapted to be used without it. - 4 CabriJr: Angles of a Triangle
Students will investigate the sum of the measures of the interior angles of a triangle. They will explore interior angles, and their relationship with the exterior angles of a triangle (Good introduction to functions of Cabri Jr). - 5 CabriJr: Interior Angle Theorem
This activity utilizes Cabri Jr. to help students discover the Interior Angle Theorem. - 6 CabriJr: Medians, Altitudes, and Angle Bisectors of Triangles
Though students do not need to complete the constructions in this unit (construction done in unit 5), this activity could be used to discover properties. Consider demonstrating constructions for students. - 7 CabriJr: Relationships between Interior and Exterior Angles of a Triangle
Description - 8 CabriJr: Triangle Inequality Theorem Activity
Description Quizzes and Tests- 9 RiceEdu: Isosceles Triangles
This 2 problem quiz prompts students to think critically about the charactersitics of Isosceles Triangles. - 10 Yahoo: Triangle Congruence and Relationships
Technology Based Activity- 11 NCTMIlluminations: Isosceles Triangle Investigation
n activity that explores the relationship between different isosceles triangles and their areas. The relationship makes a great connection with parabolas in algebra. - 12 NCTMlluminations Activity: Congruency
Description - 13 Sketchpad: Proof Triangle Midpoints
Description - 14 Sketchpad: Explore why SSA does not work for triangle congruency
Description - 15 Sketchpad: Medians
Description - 16 Sketchpad: Triangle Midpoints
Description - 17 Sketchpad: Types of Triangles
Description Text- 18 Holt: Powerpoint Triangle Midsegments
Description Tutorials- 19 AlaskaEdu: Vocab flashcards
Description - 20 RiceEdu: Impossible Triangles
This quiz allows students to identify the rules that restrict the creation of the given figures. - 21 ThinkQuest: Proving Triangles Congruent
- 22 UGAEdu: Proof of Perpendicular Bisectors in a Triangle
Video Segments- 23 Defining Properties of Triangles (DE streaming)
From methods of geometric construction to three-dimensional figures to properties of triangles to representations and transformations, this video introduces middle school students to more advanced properties and concepts of geometry (Student Login: hcpss_student, Password: student). - 24 Properties of Triangles (DE streaming)
Math plays a role in the design, technology, and construction of modern skyscrapers as it did in ancient Greek architecture. See how triangles, quadrilaterals, circles, and polygons have helped shape structures found the world over (Student Login: hcpss_student, Password: student). - 25 Section B: Proving Triangles Congruent (DE streaming)
The Standard Deviants introduce you to the whole triangle family. You'll learn different ways to describe triangles, pick up a couple of handy rules for working with them, and find out why the word "acute" doesn't mean good looking (Student Login: hcpss_student, Password: student). - 26 Section C: Using Congruent Triangles (DE streaming)
The Standard Deviants introduce you to the whole triangle family. You'll learn different ways to describe triangles, pick up a couple of handy rules for working with them, and find out why the word "acute" doesn't mean good looking (Student Login: hcpss_student, Password: student). - 27 Section D: Isosceles and Right Triangle Theorems (DE streaming)
The special features of isosceles and right triangles are explored. Two proofs are done for isosceles triangles (Student Login: hcpss_student, Password: student). - 28 The Names and Types of Triangles (DE streaming)
One way to classify triangles is with respect to the lengths of their sides. An equilateral triangle has three equal sides, an isosceles triangle has two equal sides, and in a scalene triangle all of the sides are different. A right triangle contains one right angle. - 29 Triangle Sum Theorem: The Angles and Their Degrees (DE streaming)
The interior angles of a triangle have a sum of one-hundred eighty degrees. This theorem is helpful in situations in which you are given the measures of two angles of a triangle and you must find the measure of the third angle. It also allows us to prove that all three angles of an equilateral triangle will be sixty degrees (Student Login: hcpss_student, Password: student).
UNIT V: Constructions
