Unit Overview
Content Area: Mathematics
Unit Title: Geometry Explorations
Target Course/Grade Level: 5th Grade MD Resource Classroom
Name: Patti Ackerman
School: Lindenwold Middle
Date: July 22, 2010
Unit Summary
In this unit, students will examine properties of basic plane figures and will use tools of geometry; rulers, protractors and the geometry template, and students will explore tessellations. We will review names of polygons, line segments, rays and lines. The students in this classroom do not retain information from day to day, they extra practice and reinforcement to gain math skills.
Primary interdisciplinary connections
Literacy:
Art:
Music:
http://www.youtube.com/watch?v=Otcj9LOh8g&feature=related
http://www.youtube.com/watch?v=VcEOQ6Rq1zc
Social Studies:
Polygon comes from Ancient Greece, poly = many and gon means knee or angle
21st century themes
Global Awareness
Polygons in nature: http://en.wikipedia.org/wiki/Polygon#History
Unit Rationale
I have chosen to focus on these concepts because angles and sums of angles are commonly used in geometric applications and reasoning. The instructional methods that I have chosen in this lesson will meet the needs of the students.
Many careers options will require students to be able to understand angle measurements: automotive careers, military careers, architecture and contractors, computer technology, and even some hobbies and crafts.
Learning Targets
Common Core Standards
5.G.3 and 5.G.4
New Jersey Core Curriculum Content Standards
4.2.5.A1, 4.2.5.A2, 4.2.5.A3, 4.2.5.A4, 4.2.5.B1, 4.2.5.E1
Content Statements
Students will classify twodimensional figures into categories based on their properties.
5.G.3 Understand that attributes belonging to a category of twodimensional figures also belong to all subcategories of that category. For example, all rectangles have four right angles and squares are rectangles, so all squares have four right angles.
5.G.4 Classify twodimensional figures in a hierarchy based on properties.
4.2.5.A1 Understand and apply concepts involving lines and angles.
4.2.5.A2 Identify, describe, compare, and classify polygons.
4.2.5.A3 Identify similar figures.
4.2.5.A4 Understand and apply the concepts of congruence and symmetry (line and rotational).
4.2.5.B1 Use a translation, a reflection, or a rotation to map one figure onto another congruent figure
4.2.5.E1 Use a protractor to measure angles.
Unit Essential Questions
Unit Enduring Understandings
Unit Learning Targets
Students will...
Evidence of Learning
Summative Assessment (2 days/160 minutes)
End of Unit Project Choices:
Equipment needed
Paper booklets, directions, colored pencils or crayons, rulers, compass, Protractors, geometry templates, computers
Teacher Resources
Everyday Mathematics, IXL.com, Smart Board Notebook, Geometers Sketchpad
Formative Assessments
Lesson Plans
Lesson 1
Exploring Angle Measures
80 minutes/ 1 day
Lesson 2
Using a Protractor
160 minutes/ 2 days
Lesson 3
Congruent Triangles
80 minutes/ 1 day
Lesson 4
Properties of Polygons
160 minutes/ 2 days
Lesson 5
Regular Tessellations
80 minutes/ 1 day
Lesson 6
Angles of Polygons
80 minutes/ 1 day
Lesson 7
Solving Problems with the Geometry Template
80 minutes/ 1 day
Teacher Notes
Extra time will be given when necessary.
Curriculum Development Resources
Teacher’s Manual for Everyday Mathematics, IXL.com
Song about polygons
http://www.youtube.com/watch?v=Otcj9LOh8g&feature=related
Sum of angles song
http://www.youtube.com/watch?v=VcEOQ6Rq1zc
Internet Math Games:
Finding angle measurements:
http://www.mathplayground.com/alienangles.html
What type of angle, acute, obtuse or right?
http://www.toonuniversity.com/6m_angle_d.html
Lesson Plan 1
Content Area: Mathematics
Grade: 5th
Lesson Title: Angles of Polygons
Timeframe: 160 minutes/ 2 days
Lesson Components
21st Century Themes
X Global Awareness
Financial, Economic, Business, and Entrepreneurial Literacy
Civic Literacy
Health Literacy
21st Century Skills
x Creativity and Innovation Drawing polygons, create a geometry book
x Media Literacy read literature on polygons and angles
x Critical Thinking and Problem Solving Solve for sum of angles independently
ICT Literacy
x Communication and Collaboration work in small groups and discuss strategies
Life and Career Skills
Information Literacy
Interdisciplinary Connections: Art, Literacy, Social Studies, Music
Integration of Technology: Computer with Smart Board technology and Internet access and Document Camera, Geometers Sketchpad, Internet games and songs
Equipment & materials needed: Paper, rulers, geoboards with rubber bands, Geo templates, computers, Smart Board notebook activities, document camera
Goals/Objectives/CPIs
Students:
Learning Activities/Instructional Strategies
Formative Assessment Tasks
What is the sum of the angles in a quadrilateral?
Universal Design for Learning Options
Multiple Means of Representation

Multiple Means of Action and Expression

Multiple Means of Engagement

Resources