Download Figures and Properties

Unit Overview
Content Area: Math
Unit Title: Two-dimensional figures and their properties
Unit: 8
Target Course/Grade Level: Fifth Grade
Timeline: 3 weeks
Unit Summary: Students will understand that geometric properties include properties of sides, angles, and
symmetry. Students will understand the properties of figures and how they can be classified.
Primary interdisciplinary connections: Language Arts and Technology
9.1 21st-Centuries Life & Career Skills
Standard 9.1 All students will demonstrate the creative, critical thinking, collaboration, and
problem-solving skills needed to function successfully as both global citizens and workers in
diverse ethnic and organizational cultures.
Strand: A. Critical Thinking and Problem Solving
B. Creativity and Innovation
C. Collaboration, Teamwork and Leadership
Content Statement:
9.1.8: A The ability to recognize a problem and apply critical thinking skills and problem
solving skills to solve the problem is a lifelong skill that develops over time.
9.1.8: C Collaboration and team work enable individuals or groups to achieve common goals
with greater efficiency.
Leadership abilities develop over time through participation in group and or teams that
that are engaged in challenging or competitive activities.
9.1.8: B Gathering and Evaluating knowledge and information from a variety of sources,
including global perspective, fosters creativity and innovative thinking.
st
21 Century themes and skills: Critical Thinking and Problem Solving, Collaboration, Teamwork and
Leadership, Creativity and Innovation
Mathematical Practices:
5.MP.1 Make sense of problems and persevere in solving them.
5.MP.2 Reason abstractly and quantitatively.
5.MP.3 Construct viable arguments and critique the reasoning of others.
5.MP.4 Model with mathematics.
5.MP.5 Use appropriate tools strategically.
5.MP.6 Attend to precision.
5.MP.7 Look for and make use of structure.
5.MP.8 Look for and express regularity in repeated reasoning.
Learning Targets
Domain: Geometry
Cluster: Classify two-dimensional figures into categories bases on their properties.
Standard #
Standards
5.G.3
Understand that attributes belonging to a category of two-dimensional 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 two-dimensional figures in a hierarchy based on properties.
9.1.8.A.1
Develop strategies to reinforce positive attitudes and productive behaviors that impact
critical thinking and problem-solving skills.
9.1.8.A.2
Implement problem-solving strategies to solve a problem in school or the community.
9.1.8.B.2
Assess data gathered to solve problems for which there are varying perspective (e.g., cross
cultural, gender specific, generational, etc.) and determine how the data can best be used to
design the multiple solutions.
9.1.8.C.1
Determine an individual’s responsibility for personal actions and contributions to group
activities.
9.1.8.C.2
Demonstrate the use of compromise, consensus and community building strategies for
carrying out different task, assignments and projects.
9.1.8.C.3
Model leadership skills during classroom and extracurricular activities.
Unit Essential Questions
 How can spatial relationships be described by
careful use of geometric language?
Unit Enduring Understandings
 Geometric properties can be used to construct
geometric figures.
 Geometric relationships provide a means to make
sense of a variety of phenomena.
Unit Learning Targets
Students will ...
 Identify, describe, classify and compare the properties of two-dimensional polygons.
 Recognize regular polygons and irregular polygons.
 Compare/contrast regular polygons to irregular polygons.
Evidence of Learning
Summative Assessment
 Make a hierarchy of given polygons.
 Sort polygons with given properties.
 Given a regular and an irregular polygon, compare and contrast each using attributes and terms.
.
Equipment needed: Smart Board, white boards, computers, number lines, fraction cubes, calculators, line
plots, two dimensional shapes
Teacher Instructional Resources: Scott Foresman and Addison Wesley
Study Island
Khan Academy Videos
Geometry Sketchpad
Sir Cumference Books by Cindy Neuschwander
Formative Assessments
 Skill sheets
 Quizzes/Tests
 Student workbook
 Homework
 Math games
 Study Island
Integration of Technology:
 Smart Board to play online games and utilize online resources.
 Kahn Academy Videos
 Elmo – for demonstration
 Scott Foresman – Pearson Success Net - https://www.pearsonsuccessnet.com/snpapp/login/login.jsp
 Study Island
 Geometry Sketchpad
 http://www.ixl.com/math/grade-5 - IXL 5th Grade
 http://www.aaamath.com/grade5.html - AAA math 5th grade – online interactive activities and
problems for the student to complete.
Technology Resources:
Click the links below to access additional resources used to design this unit:
http://illuminatives.nctm.org
http://www.khanacademy.org – Interactive 2.0 instructional and practice site. Students can view
instructional videos and complete practice modules for additional practice/remediation.
http://www.studyisland.com/ - Web-based instruction, practice, assessment and reporting built from NJ
standards.
http://www.ixl.com/math/grade-5 - IXL 5th grade online interactive activities for the students to
complete
http://www.aaamath.com/grade5.html - AAA math 5th grade – online interactive activities and
problems for the student to complete.
Geometry Sketchpad
Opportunities for Differentiation:
Decelerate: Limit figures that can have their line of symmetry drawn in.
Accelerated: Students will look at more complex figures to determine their lines of symmetry. Students
will use the following formula to determine the total degrees contained within a figure and what each of
those angles would be in a regular polygon. Degrees in a polygon = (x - 2)(180), where x is the number of
sides.
Teacher Notes:
Students will need to learn how to use a protractor.