Student Resources

UNIT IX: Surface Area and Volume

Activities

1 Practice with Volumes of Similar Solids
This site allows students interactive practice on similar solids.
2 Working with Volume of Solids
This site contains interactive problems on calculating the volume of solids.

Animation

3 Nets
This site provides animated views for using nets to construct polyhedra.

eTools

4 Platonic Solids
This virtual manipulative allows students to investigate the five platonic solids from multiple viewpoints.

Games

5 Building Blocks I
Web-based game that allows students to manipulate volume. May be used as an extension activity.
6 Building Blocks II
Web-based game that allows students to manipulate volume. May be used as an extension activity.

Images

7 Nets and solids
This site contains nets for a variety of geometric solids.

Projects

8 Digging Dirt - Excavation Bid Lab
This dynamic website may be used as an enrichment activity where students apply their knowledge of volume to a real-world business model.

Quizzes and Tests

9 Glencoe (GT) Chapter 13 Test
This site contains an online volume test.
10 Glenoe (GT) Chapter 12 Test
This site contains an online surface area test.

Reviews

11 Comparison of Volumes of Similar Solids
This site contains a brief review on calculating the volume of similar solids.
12 Surface Areas
This site contains a four page worksheet covering surface area.
13 Volume and Surface Area
This site contains examples of surface area and volume problems.
14 Volume and Surface Area Computation
This web-based review allows students to calculate the volume and surface area of triangular and rectangular prisms of various dimensions.

Student Activities

15 Archimedean Solid
This site examines the properties of the archimedean solids.
16 Paper Models of Polyhedra
This site contains a variety of paper models for use in constructing polyhedra.
17 Platonic Solid
This site examines the properties of the the platonic solids.

Videocasts

18 Areas of Similar Figures
This video from Discovery Education demonstrates the concept of similarity in areas.
19 Defining Properties of 3D Figures (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.
20 Example 1: Surface Area -- Boxes and Cans
This video from Discovery Education demonstrates how nets are used in manufacturing.
21 Review: Surface Area and Volume
This video from Discovery Education reviews the concepts of surface area and volume.
22 Section E: Surface Area
This video from Discovery Education examine the concept of surface area.
23 Section F: Volume
This video from Discovery Education examines the concept of volume.
24 Similarity of Polygons and Solids
This video from Discovery Education provides an overview to similar solids.
25 Surface Area and Volume
This video from Discovery Education demonstrates the applications of surface area and volume in real-world situations.
26 Volumes of Similar Figures
This video from Discovery Education demonstrates scale factors.

UNIT VIII: Polygons

eTools

1 Angles in Polygons
This is an applet to explore the sum of the interior angles of various polygons. This also includes a link for an exterior angle applet.
2 Area of Regular Polygons Calculator
The user inputs the length of the apothem, the length of each side, and the number of sides. The program computes the area to the nearest tenth.
3 Exterior Angles of Polygons
This online applet allows students to manipulate a polygon and see that the sum of the exterior angles is always 360 degrees.
4 Similar Triangles: Ratio of Areas
This applet allows the user to change the area of one similar triangle to see the ratio between the two areas.

Tutorials

5 Area of Regular Polygons
This is an explanation of how to find the area of regular polygons.
6 Interior Angles
This is a tutorial for how the formula for interior angles is derived. It is very clear and easy to understand, the author of the site just asks that you do not print or make copies of the site.

Videocasts

7 Polygons and the Pentagon (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.

UNIT X: Circles

eTools

1 Area of a Circle vs. Inscribed Polygon
Tool that lets you explore the area of an inscribed polygon (n-sides) vs. the area of the circle
2 Virtual Protractor: Measure Angles and Arcs
Use a virtual protractor to measure angles and arcs of circles.

Games

3 Circle Hangman
Hangman involving basic circle vocabulary

Labs

4 Discovering Radian Measure Activity
Description

Practice Items

5 Chords and Circles Practice
Practice problems involving chords and circles
6 Chords, Secants, and Tangents Practice
Practice problems involving chords, secants, and tangents
7 Inscribed Circle Problem
8 Practice with Arc Length and Radian Measure
Practice problems involving arc length and radian measure
9 Tangents and Circles Practice
Practice problems involving tangents and circles

Quizzes and Tests

10 10-1 Glencoe
11 10-1 Glencoe
Description
12 10-1 McDougal
Description
13 10-2 Glencoe
Description
14 10-2 McDougal
15 10-2 McDougal
Description
16 10-3 Glencoe
Description
17 10-3 Glencoe
Description
18 10-3 McDougal
19 10-4 Glencoe
Description
20 10-4 McDougal
21 10-5 Glencoe
Description
22 10-5 McDougal
Description
23 10-6 Glencoe
Description
24 11-3 Glencoe
Description
25 11-4 McDougal
Description
26 11-5 McDougal
Description
27 13-3 Glencoe Alg2
Description
28 Glencoe 10-7
Description
29 SAT Practice Set
This practice set reviews circle objectives within a SAT setting (includes video tutorial and follow-up question set).
30 Secant Secant Theorem Quiz
Quiz using the secant-secant theorem
31 Segments and Angles Circle Quiz
Quiz involving relationships between angles and between segments in circles.
32 Tangent Secant Theorem Quiz
Quiz on applying the tangent-secant theorem

Student Activities

33 Exploring Chords of a Circle with the Graphing Calculator
34 Geoboard: Costructing Central Angles
Explore the relationships between angles and answer problems using a virtual circular geoboard
35 Tangents and Communications Signals
Investigate tangents of circles and how the length of the tangent changes when segment length changes

Technology Based Activity

36 Constructing Tangents to Circles with GSP
37 Explore Angle Measures in a Circle with a Graphing Calculator
38 Explore Area of a Circle using the Graphing Calculator
Description
39 Extra: Construct a Circle given three poitns with GSP
40 Intersecting Chords Theorem with GSP
41 Intro to Radians using GSP
42 Segments and Circles with GSP
already made file

Tutorials

43 Arcs of a Cricle Review Tutorial
Tutorial that reviews properties of circles and arcs
44 Constructing a tangent to a circle
45 Converting between Degrees and Radians
Description

Videocasts

46 Segments and Angles of a Circle (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.

UNIT XI: Non-Euclidean Geometry (GT)

Activities

1 Modules in Spherical and Hyperbolic Geometry
Description
2 Modules in Spherical and Hyperbolic Geometry
Description
3 NonEuclid Interactive Software
Description

eTools

4 NonEuclid Geometry Information
Description

Videocasts

5 Spherical Geometry (DE streaming)
This video shows how coordinate grid systems have been used throughout history for navigation, archaeology, and space exploration. Also included is a segment on how coordinate systems used by computers differ from the Cartesian system.