UNIT IV: Triangle Relationships and Triangle Congruence
Activities- 1 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. - 2 Hospital Locator
This activity provides real-world application of triangle constructions. - 3 Incenter Exploration
This activity allows students to determine the incenter in a real life application. - 4 Interior Angle Theorem
This activity utilizes Cabri Jr. to help students discover the Interior Angle Theorem. - 5 Isosceles Triangle Investigation
An activity that explores the relationship between different isosceles triangles and their areas. The relationship makes a great connection with parabolas in algebra. - 6 Medians, Altitudes, and Angle Bisectors of Triangles
Description - 7 Proof of Perpendicular Bisectors in a Triangle
Description - 8 Relationships between Interior and Exterior Angles of a Triangle
Description - 9 Using ASA with Cabri JR
This activity from TI has students constructing a congruent triangle using ASA on Cabri JR. eTools- 10 Proving Triangles Congruent
- 11 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. - 12 Triangle Congruency
This virtual manipulative allows you to utilize the theorems with triangle congruency. Quizzes and Tests- 13 Impossible Triangles
This quiz allows students to identify the rules that restrict the creation of the given figures. - 14 Isosceles Triangles
This 2 problem quiz prompts students to think critically about the charactersitics of Isosceles Triangles. - 15 Triangle Congruence and Relationships
Description Videocasts- 16 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. - 17 Example 1: Copying a Triangle (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. - 18 Properties of Triangles (DE streaming)
Math plays a role in the design, technology, and construction of modern skyscrapers�just as it did in ancient Greek architecture. See how triangles, quadrilaterals, circles, and polygons have helped shape structures found the world over. - 19 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. - 20 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. - 21 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. - 22 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. - 23 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.
UNIT V: Exploring Quadrilaterals
Activities- 1 Using Sequencing with a Parallelogram Proof
in-class activity putting together a proof - 2 What's my Quadrilateral?
3 versions to the in-class activity eTools- 3 Exploring a Rhombus
Explore rhombi measurements of angles and sides - 4 Exploring an Isosceles Trapezoid
Explore Isosceles Triangle's measurements of angles and sides - 5 Exploring Area with a Geoboard
Using an online geoboard to explore the area of triangles and rectangles - 6 Exploring Irregular Polygons
move one vertex to change the polygon's shape - 7 Exploring Parallelograms
Explore measurements of angles and sides of parallelograms - 8 Exploring Quadrilaterals
Explore quadrilaterals by investigating relationships that exist from connecting midpoints of a quadrilateral - 9 Exploring Rectangles
Explore the measurements of a rectangles' angles and sides - 10 Exploring Regular Polygons
Explore the characteristics of a regular polygon by changing the size of a polygon - 11 Quadrilateral Properties
Great review of properties of special quadrilaterals! Investigate properties of quadrilaterals by looking at each property and showing if it is true or false for each shape. Games- 12 ClassZone: Shapes in Space
Help the alien get the given shapes and answering questions about proofs and properties of quadrilaterals - 13 Quadrilateral Hangman
Hangman game on triangle and quadrilateral vocabulary Practice Items- 14 Proofs Involving Quadrilaterals
Practice proof problems that include quadrilaterals Projects- 15 WebQuest Scavenger Hunt
Webquest project which includes making a scavenger hunt around a city using characteristics of quadrilaterals, circles, and transformations Quizzes and Tests- 16 1-6 Glencoe
Description - 17 6-1 McDougal
- 18 6-1 McDougal
- 19 6-2 McDougal
- 20 6-3 McDougal
Description - 21 6-4 McDougal
- 22 6-4 McDougal
Description - 23 6-5 McDougal
- 24 6-6 McDougal
- 25 6-6 McDougal
- 26 6-7 McDougal
- 27 8-3 Glencoe
Description - 28 8-4 Glencoe
- 29 8-5 Glencoe
- 30 8-6 Glencoe
- 31 Glencoe 8-2
Description - 32 Numerical Practice with Quadrilaterals
Online quiz covering numerical practice with quadrilaterals - 33 QUIA Quiz: Properties of Quadrilaterals
Quiz on the properties of quadrilaterals Student Activities- 34 Drag and Drop
Match special parallelogram vocabulary terms and definitions - 35 Quadrilateral Quest
Complete various quests using properties of quadrilaterals Technology Based Activity- 36 Exploring Quadrilaterals with GSP
- 37 Graphing Calculator Activity on Special Quadrilaterals
Videocasts- 38 Area of a Triangle (DE streaming)
Two examples of problems that use the formula for the area of a triangle. - 39 Example 1: Regular Polygons -- Architecture (DE streaming)
The formula for the total angle measure of a polygon is developed, based on the number of sides of the polygon, using triangles. The result is then applied to determine the angle needed to cut pieces of wood that will abut at one of the angles in a construction project - 40 Example 2: Quadrilaterals (DE streaming)
From symmetry and three-dimensionality to congruent shapes and the use of scale, introduce elementary students to more-advanced properties and concepts of geometry. All content is tied to national standards and benchmarks. - 41 The Area of Parallelograms (DE streaming)
The area of a parallelogram can be determined by multiplying base times height. Base times height, divided by two, is the formula for determining the area of a triangle. - 42 The Geometry of Groove: Triangles
Defines and classifies geometric triangles and polygons and their relationship to sound and vocal quality in music recording. This program discusses equilateral, isosceles, scalene, and right triangles, regular and irregular polygons, and concepts of apex, perpendicular, and sum to make sense of volume levels at shows and in the studio. The presentation also examines external, internal, and right angles and degrees to reinforce the importance of geometry in everyday life. - 43 What is Area? (DE streaming)
If you are painting a wall or carpeting a floor you will need to know how to find area so you know how much paint or carpeting to purchase. The formulas for the area of a rectangle, a parallelogra, and a triangle are all related. This program will derive these formulas and present practice problems using the each formula.
