Clarifications
Clarification 1: Triangles include scalene, isosceles, equilateral, acute, obtuse and right; quadrilaterals include parallelograms, rhombi, rectangles, squares and trapezoids.Related Courses
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Formative Assessments
Image/Photograph
Lesson Plans
Original Student Tutorials
Problem-Solving Tasks
Teaching Idea
Tutorials
MFAS Formative Assessments
Students are given a diagram of quadrilaterals that have been sorted and are asked to determine how the shapes were sorted. Then, students are given two additional quadrilaterals and asked to place them into the appropriate region on the diagram.
Students are asked to classify quadrilaterals and trapezoids by their properties.
Students discuss the attributes of squares and rhombuses and consider how these two shapes are related.
Students are shown three triangles that fit a rule (each has a right angle) and are asked to determine which of three other triangles also fit the rule.
Using shape attribute clues, the student is asked to determine two shapes that fit these clues and describe a category to which both belong.
Using shape attribute clues, the student will determine shapes that fit these clues and describe a category to which they both belong.
Students are asked to use shape descriptions to sketch shapes and explain why some cannot be sketched.
Students are asked to consider how the hierarchy of quadrilaterals would change based on the two different definitions of trapezoids.
Students are asked to describe the defining attributes of parallelograms and to consider the relationship between rectangles and parallelograms.
Students are asked to sort shapes using a Venn diagram and to determine the label for each section of the diagram.
Original Student Tutorials Mathematics - Grades K-5
Explore 2D (two-dimensional) figures and see how every 2D figure possesses unique attributes in this interactive tutorial.
This is part one of four. Click below to open the other tutorials in the series.
Learn to classify triangles and use Euler diagrams to show relationships, in this interactive tutorial.
This is part-three of four. Click below to open the other tutorials in the series.
- Part 1: "Figuring Out" 2D Figures - Part 1
- Part 2 Exploring Relationships with Venn & Euler Diagrams
- Part 3: Classifying Triangles by Angles using Euler Diagrams
- Part 4: Classifying Triangles by Sides and Angles using Venn and Euler Diagrams
Learn how triangles can be sorted and classified using side lengths and angle measures in this interactive tutorial.
This is the final tutorial in a four-part series. Click below to open the other tutorials in the series.
- Part 1: "Figuring Out" 2D Figures - Part 1
- Part 2 Exploring Relationships with Venn & Euler Diagrams
- Part 3: Classifying Triangles by Angles using Euler Diagrams
- Part 4: Classifying Triangles by Sides and Angles using Venn and Euler Diagrams
Learn how to show relationships represented in Venn & Euler Diagrams as you complete this interactive geometry tutorial.
This is part two of four. Click below to open the other tutorials in the series.
- Part 1: "Figuring Out" 2D Figures - Part 1
- Part 2 Exploring Relationships with Venn & Euler Diagrams
- Part 3: Classifying Triangles by Angles using Euler Diagrams
- Part 4: Classifying Triangles by Sides and Angles using Venn and Euler Diagrams
Learn how to classify quadrilaterals--including parallelograms, rectangles, rhombi, and squares--based on their defining attributes using diagrams in this interactive tutorial.
This is part 5 in a 6-part series. Click below to explore the other tutorials in the series.
Explore the defining attributes of trapezoids--a special type of quadrilateral--and classify them using diagrams in this interactive tutorial. You'll also learn how two different definitions for a trapezoid can change affect classifications of quadrilaterals.
This part 6 in a 6-part series. Click below to explore the other tutorials in the series.
Part 1: "Figuring Out" 2D Figures
Part 2: Exploring Relationships with Venn & Euler Diagrams
Part 3: Classifying Triangles by Angles Using Euler Diagrams
Part 4: Classifying Triangles by Sides & Angles Using Venn and Euler Diagrams
Student Resources
Original Student Tutorials
Explore the defining attributes of trapezoids--a special type of quadrilateral--and classify them using diagrams in this interactive tutorial. You'll also learn how two different definitions for a trapezoid can change affect classifications of quadrilaterals.
This part 6 in a 6-part series. Click below to explore the other tutorials in the series.
Part 1: "Figuring Out" 2D Figures
Part 2: Exploring Relationships with Venn & Euler Diagrams
Part 3: Classifying Triangles by Angles Using Euler Diagrams
Part 4: Classifying Triangles by Sides & Angles Using Venn and Euler Diagrams
Type: Original Student Tutorial
Learn how to classify quadrilaterals--including parallelograms, rectangles, rhombi, and squares--based on their defining attributes using diagrams in this interactive tutorial.
This is part 5 in a 6-part series. Click below to explore the other tutorials in the series.
- Part 1: "Figuring Out" 2D Figures
- Part 2: Exploring Relationships with Venn & Euler Diagrams
- Part 3: Classifying Triangles by Angles Using Euler Diagrams
- Part 4: Classifying Triangles by Sides & Angles Using Venn and Euler Diagrams
- Part 6: (Coming Soon)
Type: Original Student Tutorial
Learn how to show relationships represented in Venn & Euler Diagrams as you complete this interactive geometry tutorial.
This is part two of four. Click below to open the other tutorials in the series.
- Part 1: "Figuring Out" 2D Figures - Part 1
- Part 2 Exploring Relationships with Venn & Euler Diagrams
- Part 3: Classifying Triangles by Angles using Euler Diagrams
- Part 4: Classifying Triangles by Sides and Angles using Venn and Euler Diagrams
Type: Original Student Tutorial
Learn how triangles can be sorted and classified using side lengths and angle measures in this interactive tutorial.
This is the final tutorial in a four-part series. Click below to open the other tutorials in the series.
- Part 1: "Figuring Out" 2D Figures - Part 1
- Part 2 Exploring Relationships with Venn & Euler Diagrams
- Part 3: Classifying Triangles by Angles using Euler Diagrams
- Part 4: Classifying Triangles by Sides and Angles using Venn and Euler Diagrams
Type: Original Student Tutorial
Learn to classify triangles and use Euler diagrams to show relationships, in this interactive tutorial.
This is part-three of four. Click below to open the other tutorials in the series.
- Part 1: "Figuring Out" 2D Figures - Part 1
- Part 2 Exploring Relationships with Venn & Euler Diagrams
- Part 3: Classifying Triangles by Angles using Euler Diagrams
- Part 4: Classifying Triangles by Sides and Angles using Venn and Euler Diagrams
Type: Original Student Tutorial
Explore 2D (two-dimensional) figures and see how every 2D figure possesses unique attributes in this interactive tutorial.
This is part one of four. Click below to open the other tutorials in the series.
- Part 1: "Figuring Out" 2D Figures - Part 1
- Part 2 Exploring Relationships with Venn & Euler Diagrams
- Part 3: Classifying Triangles by Angles using Euler Diagrams
- Part 4: Classifying Triangles by Sides and Angles using Venn and Euler Diagrams
Type: Original Student Tutorial
Problem-Solving Tasks
This activity provides students an opportunity to recognize these distinguishing features of the different types of triangles before the technical language has been introduced. For finding the lines of symmetry, cut-out models of the four triangles would be helpful so that the students can fold them to find the lines.
Type: Problem-Solving Task
This task provides students a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines of symmetry.
Type: Problem-Solving Task
The purpose of this task is for students to measure angles and decide whether the triangles are right or not. Students should already understand concepts of angle measurement and know how to measure angles using a protractor before working on this task.
Type: Problem-Solving Task
Tutorials
This Khan Academy tutorial video presents examples and explanations for categorizations of perpendicular sides and right, obtuse, and acute triangles.
Type: Tutorial
In this Khan Academy tutorial video triangles are categorized by angles or side lengths of a specified size.
Type: Tutorial
This Khan Academy tutorial video introduces quadrilaterals. their categories, and subcategories.
Type: Tutorial
Parent Resources
Image/Photograph
In this lesson, you will find clip art and various illustrations of polygons, circles, ellipses, star polygons, and inscribed shapes.
Type: Image/Photograph
Problem-Solving Tasks
This activity provides students an opportunity to recognize these distinguishing features of the different types of triangles before the technical language has been introduced. For finding the lines of symmetry, cut-out models of the four triangles would be helpful so that the students can fold them to find the lines.
Type: Problem-Solving Task
This task provides students a chance to experiment with reflections of the plane and their impact on specific types of quadrilaterals. It is both interesting and important that these types of quadrilaterals can be distinguished by their lines of symmetry.
Type: Problem-Solving Task
The purpose of this task is for students to measure angles and decide whether the triangles are right or not. Students should already understand concepts of angle measurement and know how to measure angles using a protractor before working on this task.
Type: Problem-Solving Task