Accessible Shapes: Geometry   Western Reserve Public Media
Angles, Triangles and Quadrilaterals

Angles, Triangles and Quadrilaterals Overview

 

Before students can effectively communicate their ideas about geometric shapes they must have a vocabulary with which to discuss the properties of those shapes. This vocabulary is best developed through experience. In lessons 1 and 2 students will draw triangles, review vocabulary as relates to triangles and then classify triangles. Lessons 3, 4, 5, and 6 are designed to review and reinforce concepts of geometric properties and geometric vocabulary of quadrilaterals. The unit project will be introduced in lesson 7 and that project will take several class periods.

 

Lesson 1: What Makes a Triangle a Triangle? Drawing and Sorting Triangles

Students will use a sorting activity to review and reinforce definitions of geometric vocabulary.

 

Lesson 2: Classifying Triangles by Side Length and Angle

Students will use a sorting activity to explore and analyze these types of triangles: scalene, isosceles, equilateral, acute, right and obtuse.

 

Lesson 3: Building Quadrilaterals

Students will use manipulatives to make quadrilaterals. Students will analyze the shapes that they have made and use appropriate vocabulary to describe and classify them.

 

Lesson 4: Sorting Quadrilaterals

Students will analyze the properties of quadrilaterals and will use appropriate vocabulary to describe and classify quadrilaterals into groups and subgroups.

 

Lesson 5: Organizing Quadrilaterals, A Quadrilateral Family Tree

Students will analyze the properties of quadrilaterals and use their understanding of those properties to organize quadrilaterals into a family tree.

 

Lesson 6: Analyzing the Quadrilateral Family Tree

Students will analyze the properties of quadrilaterals and use their understanding of those properties to classify the shapes.

 

Lesson 7: The Important Book

Using their understanding of the properties of triangles and quadrilaterals, the students will create a book.

 

 

Benchmarks and Standards

Measurement

Grade 6

05-07 Benchmark

D. Identify, describe and classify types of line pairs, angles, two-dimensional figures and three-dimensional objects using their properties.

 

Y2003.CMA.S03.G05-07.BD.L06.I01 Characteristics and Properties /

01. Classify and describe two-dimensional and three-dimensional geometric figures and objects by using their properties; e.g., interior angle measures, perpendicular/parallel sides, congruent angles/sides.

 

Y2003.CMA.S03.G05-07.BD.L06.I02 Characteristics and Properties /

02. Use standard language to define geometric vocabulary: vertex, face, altitude, diagonal, isosceles, equilateral, acute, obtuse and other vocabulary as appropriate.

 

Y2003.CMA.S02.G0507.BC.L06.I03 Use Measurement Techniques and Tools /

03. Estimate perimeter or circumference and area for circles, triangles and quadrilaterals, and surface area and volume for prisms and cylinders by:

  • Estimating lengths using string or links, areas using tiles or grid and volumes using cubes;

  • Measuring attributes (diameter, side lengths or heights) and using established formulas

  • for circles, triangles, rectangles, parallelograms and rectangular prisms.

 
pbs.org Copyright©2011, Northeastern Educational Television of Ohio, Inc. All rights reserved.
Overview Geometry and Spatial Sense Angles, Triangles and Quadrilaterals Surface Area and Volume Online Resources Teacher Materials Watch Accessible Shapes: Geometry Online Angles, Triangles and Quadrilaterals Overview Lesson 1: What Makes a Triangle a Triangle? Drawing  and Sorting Triangles Lesson 1: Glossary Lesson 2: Classifying Triangles By Side Length and Angle Lesson 2: Glossary Lesson 3: Building Quadrilaterals Guess My Rule! Lesson 3: Glossary Lesson 4: Glossary Lesson 5: Glossary Lesson 4: Sorting Quadrilaterals Lesson 5: Organizing Quadrilaterals: A Quadrilateral  Family Tree Lesson 5: Quadrilateral Lesson 5: Parallelogram Lesson 5: Rectangle Lesson 5: Square Lesson 5: Rhombus Lesson 5: Trapezoid Lesson 5: Isosceles Trapezoid Lesson 5: Right Trapezoid Lesson 5: A Quadrilateral Family Tree Lesson 6: Analyzing the Quadrilateral Family Tree: Using  “All” and “Some” Lesson 6: Quadrilateral Lesson 6: Parallelogram Lesson 6: Rectangle Lesson 6: Square Lesson 6: Rhombus Lesson 6: Trapezoid Lesson 6: Isosceles Trapezoid Lesson 6: Right Trapezoid Lesson 6: A Quadrilateral Family Tree Lesson 6: Glossary Lesson 7: Glossary Lesson 7: The Important Book Summative Assessment  (PDF file) Summative Assessment Answers (PDF file) Sorting Triangles By Side Length and Angle  Measurement (PDF file)