Use the following Media4Math resources with this Illustrative Math lesson.
Thumbnail Image | Title | Body | Curriculum Nodes |
---|---|---|---|
Animated Math Clip Art--3D Geometry--Rotating a Triangle to Form a Cone |
Rotating a Triangle to Form a ConeTopic3D Geometry DescriptionThis animation shows how rotating a triangle around one of its sides creates a cone. It's a powerful visualization of how 2D shapes can generate 3D objects through rotation. Animated math clip art like this is crucial for teaching as it helps students visualize the formation of cones. Teachers can use this to introduce concepts of volume and surface area of cones, as well as topics in calculus related to solids of revolution. |
Cones | |
Closed Captioned Video: Circumcenter of a Triangle |
Closed Captioned Video: Circumcenter of a Triangle
In this TI Nspire tutorial, the Geometry window is used to construct a triangle and its circumcenter. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. . |
Geometric Constructions with Triangles | |
Closed Captioned Video: Circumscribing a Circle-Triangle |
Closed Captioned Video: Circumscribing a Circle-Triangle
In this TI Nspire tutorial, the Geometry window is used to circumscribe a circle about a triangle. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. . |
Geometric Constructions with Triangles | |
Closed Captioned Video: Geometry Applications: Triangles |
Closed Captioned Video: Geometry Applications: Triangles
In this program we explore the properties of triangle. We do this in the context of two real-world applications. In the first, we explore the triangular trusses in the Eiffel Tower and in the process learn about key properties of triangles. In the second application, we look at right-triangle-shaped sails on sail boat and why these are the ideal shape for efficient sailing. |
Definition of a Triangle and Applications of Triangles | |
Closed Captioned Video: Geometry Applications: Triangles, 1 |
Closed Captioned Video: Geometry Applications: Triangles, Segment 1: Introduction
The Bank of China building in Hong Kong is a dramatic example of triangular support. The notion of triangular trusses is introduced, along with the key concepts developed in the rest of the program. |
Definition of a Triangle and Applications of Triangles | |
Closed Captioned Video: Geometry Applications: Triangles, 2 |
Closed Captioned Video: Geometry Applications: Triangles, Segment 2: Triangles
The Eiffel Tower includes quite a number of exposed triangular trusses. The properties of triangles are used to explore and explain the frequent use of triangular trusses in many building. In particular, isosceles and equilateral triangular trusses are explored. In addition triangle postulates and similarity are explored and analyzed. |
Definition of a Triangle and Applications of Triangles | |
Closed Captioned Video: Geometry Applications: Triangles, 3 |
Closed Captioned Video: Geometry Applications: Triangles, Segment 3: Right Triangles
The ancient port city of Corinth in Greece allows us to explore the evolution of sailing. The shapes of sails went from rectangular to triangular. The use of right-triangle-shaped sails changed the nature of sailing. Becoming less reliant on oarsmen and being able to sail under nearly any wind conditions, the sailboat made the conquest of the seas possible. We explore the properties of right triangles that make such sails ideal. |
Definition of a Triangle and Applications of Triangles | |
Closed Captioned Video: Orthocenter of a Triangle |
Closed Captioned Video: Orthocenter of a Triangle
In this TI Nspire tutorial the Geometry window is used to construct the orthocenter of a triangle. This video supports the TI-Nspire Clickpad and Touchpad. This Mini-Tutorial Video includes a worksheet. . This is part of a collection of closed captioned videos on various math topics. To see the complete collection of the videos, click on this link. Note: The download is Media4Math's guide to closed captioned videos.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab.Video TranscriptsThis video has a transcript available. To see the complete collection of video transcripts, click on this link. |
Geometric Constructions with Triangles | |
Definition--Geometry Basics--Perpendicular Bisector |
Perpendicular BisectorTopicGeometry Basics DefinitionA line that divides a segment into two equal parts at a 90-degree angle. DescriptionA perpendicular bisector is a line that divides a line segment into two equal parts at a right angle (90 degrees). This concept is essential in geometry for constructing and analyzing geometric shapes. For example, the perpendicular bisectors of the sides of a triangle intersect at the circumcenter, which is equidistant from all vertices of the triangle. Understanding perpendicular bisectors is crucial for solving problems related to symmetry and geometric constructions. |
Definition of a Line | |
Definition--Theorems and Postulates--Perpendicular Bisector Theorem |
Definition--Theorems and Postulates--Perpendicular Bisector Theorem
This is part of a collection of definitions of geometric theorems and postulates. |
Definition of a Line | |
Geometry Applications, Triangles, Segment 1, Introduction |
VIDEO: Geometry Applications: Triangles, Segment 1: Introduction
The Bank of China building in Hong Kong is a dramatic example of triangular support. The notion of triangular trusses is introduced, along with the key concepts developed in the rest of the program. |
Applications of Triangles and Definition of a Triangle | |
INSTRUCTIONAL RESOURCE: Math Examples 46 |
INSTRUCTIONAL RESOURCE: Math Examples--Right Triangles
This set of tutorials provides 26 examples of how to find the length of a side of a triangle using given angle or side measurements. This is part of a collection of math examples for a variety of math topics. To see the complete collection of these resources, click on this link. Note: The download is a PPT file.Library of Instructional ResourcesTo see the complete library of Instructional Resources , click on this link. |
Right Triangles | |
INSTRUCTIONAL RESOURCE: Nspire App Tutorial: Constructing an Isosceles Triangle |
In this Slide Show, we show how to construct an isosceles triangle. This presentation requires the use of the TI-Nspire iPad App. Note: the download is a PPT. |
Definition of a Triangle and Geometric Constructions with Triangles | |
INSTRUCTIONAL RESOURCE: TI-Nspire App Activity: Constructing an Isosceles Triangle |
In this Slide Show, learn how to use the TI-Nspire App to construct an isosceles triangle. Note: The download is a PPT file. |
Definition of a Triangle and Geometric Constructions with Triangles | |
Interactive Crossword Puzzle--Triangles |
Interactive Crossword Puzzle--Triangles
This interactive crossword puzzle tests knowledge of key terms on the topic of triangles. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle | |
Interactive Math Game: Math Riddles--Triangles |
Interactive Math Game: Math Riddles--Triangles
In this Math Riddles Game, have your students review vocabulary around the topic of triangles. The Math Riddles games are useful for practicing: Math Vocabulary, Key Concepts, Critical Thinking. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle | |
Interactive Word Search Puzzle--Triangles, Puzzle 1 |
Interactive Word Search Puzzle--Triangles, Puzzle 1
Solve an interactive word search puzzle on the topic of Triangles. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle | |
Interactive Word Search Puzzle--Triangles, Puzzle 2 |
Interactive Word Search Puzzle--Triangles, Puzzle 2
Solve an interactive word search puzzle on the topic of Triangles. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle | |
Interactive Word Search Puzzle--Triangles, Puzzle 3 |
Interactive Word Search Puzzle--Triangles, Puzzle 3
Solve an interactive word search puzzle on the topic of Triangles. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle | |
Interactive Word Search Puzzle--Triangles, Puzzle 4 |
Interactive Word Search Puzzle--Triangles, Puzzle 4
Solve an interactive word search puzzle on the topic of Triangles. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle | |
Interactive Word Search Puzzle--Triangles, Puzzle 5 |
Interactive Word Search Puzzle--Triangles, Puzzle 5
Solve an interactive word search puzzle on the topic of Triangles. This is part of a collection of math games and interactives. To see the complete collection of the games, click on this link. Note: The download is the teacher's guide.Related ResourcesTo see additional resources on this topic, click on the Related Resources tab. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 01 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 01TopicGeometry Basics DescriptionThis math clip art image serves as the title card for a series on classifying triangles by angles. It reads "Classifying Triangles by Angle." This image is part of a comprehensive set designed to teach students about the different types of triangles based on their angles. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 02 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 02TopicGeometry Basics DescriptionThis math clip art image is the second in a series about categorizing angles in triangles. It depicts a triangle labeled ABC, illustrating the fundamental principle that a triangle includes three angles whose sum is 180 degrees. This key concept in geometry is visually represented, providing students with a clear understanding of this crucial property of triangles. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 03 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 03TopicGeometry Basics DescriptionThis math clip art image is the third in a series about categorizing angles in triangles. It showcases an acute triangle, demonstrating that an acute triangle consists of three acute angles. The image clearly illustrates the defining characteristic of an acute triangle, where all three angles are less than 90 degrees. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 04 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 04TopicGeometry Basics DescriptionThis math clip art image is the fourth in a series about categorizing angles in triangles. It presents a right triangle, illustrating that a right triangle consists of one 90-degree angle and two acute angles. The image clearly demonstrates the defining characteristic of a right triangle, emphasizing the 90-degree angle and the two acute angles that complete the 180-degree sum. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 05 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 05TopicGeometry Basics DescriptionThis math clip art image is the fifth in a series about categorizing angles in triangles. It showcases an obtuse triangle, demonstrating that an obtuse triangle consists of one obtuse angle and two acute angles. The image clearly illustrates the defining characteristic of an obtuse triangle, highlighting the one angle that is greater than 90 degrees and the two acute angles that complete the 180-degree sum. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 06 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 06TopicGeometry Basics DescriptionThis math clip art image is the sixth in a series about categorizing angles in triangles. It depicts an isosceles triangle, illustrating that an isosceles triangle has two congruent acute angles. The image clearly demonstrates the defining characteristic of an isosceles triangle, highlighting the two equal angles and their corresponding equal sides. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 07 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 07TopicGeometry Basics DescriptionThis math clip art image is the seventh in a series about categorizing angles in triangles. It showcases an equiangular triangle, demonstrating that an equiangular triangle consists of three acute angles of 60 degrees each. The image clearly illustrates the defining characteristic of an equiangular triangle, highlighting that all three angles are equal and measure 60 degrees. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 08 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 08TopicGeometry Basics DescriptionThis math clip art image is the eighth in a series about categorizing angles in triangles. It presents a comprehensive table that summarizes the three categories of triangles. The image provides a clear overview of the different types of triangles classified by their angles, including acute, right, and obtuse triangles, along with their defining characteristics. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 09 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 09TopicGeometry Basics DescriptionThis math clip art image, which is the ninth in the series about categorizing triangles by angles, showcases real-world examples of acute triangles. It features a Yield sign and a No Passing Zone sign, both of which are shaped like acute triangles. These examples illustrate how acute triangles, which consist of three angles that are all less than 90 degrees, can be found in everyday objects. The sharp angles of these signs not only serve a functional purpose in guiding drivers but also provide a clear visual representation of acute triangles in a real-world context. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 10 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 10TopicGeometry Basics DescriptionThis math clip art image is the tenth in the series about categorizing triangles by angles, depicting a real-world example of a right triangle. It shows the right triangle portion of a truss, which effectively illustrates the structural applications of right triangles in engineering and construction. Right triangles consist of one 90-degree angle and two acute angles, collaborating harmoniously to provide strength and stability in various designs. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 11 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 11TopicGeometry Basics DescriptionThis math clip art image, which is the eleventh in the series about categorizing triangles by angles, illustrates a real-world example of an obtuse triangle. It depicts the roof of a house, showcasing the triangular shape it forms, where one angle is greater than 90 degrees, categorizing it as an obtuse triangle. This example emphasizes the significance of obtuse triangles in architecture and design, highlighting how these shapes provide aesthetic and structural benefits. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 12 |
Math Clip Art--Geometry Basics--Classifying Triangles by Angles 12TopicGeometry Basics DescriptionThis math clip art image is the twelfth in the series about categorizing triangles by angles, depicting a real-world example of an equilateral triangle. It shows a portion of a truss, illustrating how equilateral triangles, which have all three angles equal to 60 degrees, are utilized in construction for their symmetrical properties. This example underscores the significance of equilateral triangles in design, providing both aesthetic appeal and structural integrity. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 01 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 01TopicGeometry Basics DescriptionThis image is part of a series about categorizing triangles, serving as a title card for the collection. It introduces the concept of "Classifying Triangles by Side," setting the stage for a comprehensive exploration of triangle types. The use of clear, visually appealing math clip art is crucial in geometry education, as it helps students visualize abstract concepts and makes learning more engaging. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 02 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 02TopicGeometry Basics DescriptionThis image illustrates a fundamental concept in triangle geometry: every triangle consists of three sides, each with its own specific length. It's an essential starting point for understanding how triangles can be classified based on their sides. Math clip art like this is invaluable in geometry education as it provides a clear, visual representation of abstract concepts. Teachers can use this image to introduce the basic definition of a triangle and as a foundation for more complex classifications. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 03 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 03TopicGeometry Basics DescriptionThis image introduces the concept of a scalene triangle, which is characterized by having three sides of different lengths. It's an important classification in triangle geometry and helps students understand the diversity of triangle types. Using math clip art in this context allows for clear visual representation of the unique property of scalene triangles. Teachers can use this image to help students identify and understand this specific triangle classification. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 04 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 04TopicGeometry Basics DescriptionThis image introduces the concept of an isosceles triangle, which is defined by having two sides that are congruent or equal in length. It's a key classification in triangle geometry and helps students understand another important type of triangle. Math clip art like this is crucial in geometry education as it provides a clear visual representation of the unique property of isosceles triangles. Teachers can use this image to help students identify and understand this specific triangle classification. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 05 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 05TopicGeometry Basics DescriptionThis image introduces the concept of an equilateral triangle, which is characterized by having all three sides congruent or equal in length. It's a significant classification in triangle geometry and represents a special case of triangle symmetry. Using math clip art in this context allows for a clear visual representation of the unique property of equilateral triangles. Teachers can use this image to help students identify and understand this specific triangle classification and its implications for angle measures. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 06 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 06TopicGeometry Basics DescriptionThis image expands on the concept of isosceles triangles by highlighting an important property: an isosceles triangle has two congruent acute angles. This information helps students understand the relationship between side lengths and angles in triangles. Math clip art like this is invaluable in geometry education as it visually demonstrates the connection between a triangle's sides and its angles. Teachers can use this image to deepen students' understanding of isosceles triangles and introduce the concept of angle-side relationships in triangles. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 07 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 07TopicGeometry Basics DescriptionThis image presents a table that explores various combinations of triangle classifications. It helps students understand how different triangle types can be related and combined, deepening their comprehension of triangle geometry. Using math clip art in this tabular format is particularly effective for organizing and comparing different triangle classifications. Teachers can use this image to guide students through the various combinations and discuss the relationships between different triangle types. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 08 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 08TopicGeometry Basics DescriptionThis image presents a table that illustrates which types of triangles are mathematically possible and which are not. It helps students understand the constraints and possibilities within triangle classifications, deepening their comprehension of triangle geometry. Using math clip art in this tabular format is particularly effective for organizing and comparing different triangle types. Teachers can use this image to guide students through the various combinations and discuss why some are permitted while others are not. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 09 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 09TopicGeometry Basics DescriptionThis image provides an example of a scalene acute triangle, demonstrating how triangles can be classified by both their sides and angles. It helps students understand that triangles can belong to multiple categories simultaneously, deepening their comprehension of triangle geometry. Using math clip art to showcase specific examples is particularly effective in geometry education. Teachers can use this image to illustrate how a triangle can be both scalene (all sides of different lengths) and acute (all angles less than 90 degrees) at the same time. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 10 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 10TopicGeometry Basics DescriptionThis image showcases an example of a obtuse right triangle, illustrating how triangles can be classified by both their sides and angles. It helps students understand that triangles can belong to multiple categories simultaneously, deepening their comprehension of triangle geometry. Using math clip art to present specific examples is particularly effective in geometry education. Teachers can use this image to demonstrate how a triangle can be both scalene (all sides of different lengths) and right-angled (one angle measuring exactly 90 degrees) at the same time. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 11 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 11TopicGeometry Basics DescriptionThis image presents an example of an isosceles right triangle, demonstrating how triangles can be classified by both their sides and angles. It helps students understand that triangles can belong to multiple categories simultaneously, enhancing their comprehension of triangle geometry. Using math clip art to illustrate specific examples is particularly effective in geometry education. Teachers can use this image to show how a triangle can be both isosceles (two sides of equal length) and acute (all angles less than 90 degrees) at the same time. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 12 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 12TopicGeometry Basics DescriptionThis image showcases an example of an isosceles acute triangle, illustrating how triangles can be classified by both their sides and angles. It helps students understand that triangles can belong to multiple categories simultaneously, deepening their comprehension of triangle geometry. Using math clip art to present specific examples is particularly effective in geometry education. Teachers can use this image to demonstrate how a triangle can be both isosceles (two sides of equal length) and obtuse (one angle measuring more than 90 degrees) at the same time. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 13 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 13TopicGeometry Basics DescriptionThis image presents an example of an isosceles obtuse triangle, demonstrating how triangles can be classified by both their sides and angles. It helps students understand that triangles can belong to multiple categories simultaneously, enhancing their comprehension of triangle geometry. Using math clip art to illustrate specific examples is particularly effective in geometry education. Teachers can use this image to show how a triangle can be both isosceles (two sides of equal length) and right-angled (one angle measuring exactly 90 degrees) at the same time. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 14 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 14TopicGeometry Basics DescriptionThis image showcases an example of an equilateral right triangle, illustrating a special case in triangle classification. It helps students understand the unique properties of equilateral triangles and their relationship to acute angles, deepening their comprehension of triangle geometry. Using math clip art to present specific examples is particularly effective in geometry education. Teachers can use this image to demonstrate how all equilateral triangles are necessarily acute, with each angle measuring exactly 60 degrees. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 15 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 15TopicGeometry Basics DescriptionThis image showcases an example of an equilateral acute triangle, illustrating a special case in triangle classification. It helps students understand the unique properties of equilateral triangles and their relationship to acute angles, deepening their comprehension of triangle geometry. Using math clip art to present specific examples is particularly effective in geometry education. Teachers can use this image to demonstrate how all equilateral triangles are necessarily acute, with each angle measuring exactly 60 degrees. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 16 |
Math Clip Art--Geometry Basics--Classifying Triangles by Sides 16TopicGeometry Basics DescriptionThis image presents a comprehensive summary table of triangles classified by their sides. It serves as an essential reference tool, helping students understand the various types of triangles based on their side lengths and how these classifications relate to angular properties. Using math clip art in this tabular format is particularly effective for organizing and comparing different triangle types. Teachers can use this image to guide students through the various classifications and discuss the relationships between side lengths and angle measures in triangles. |
Definition of a Triangle | |
Math Clip Art--Geometry Basics--Triangle Basics 01 |
Math Clip Art--Geometry Basics--Triangle Basics 01TopicGeometry Basics DescriptionThis image is part of a comprehensive series covering triangle basics, designed to enhance geometry education using clip art. This is the title card, "Triangle Basics." |
Definition of a Triangle |