Content Area: Math
Unit Title: Geometric Probability
Unit: 9
Target Course/Grade Level: Eighth Grade
Timeline: 1 week
Unit Summary: Students build on previous knowledge of finding the probability of an outcome to include
geometric probability.
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: B Gathering and Evaluating knowledge and information from a variety of sources,
including global perspective, fosters creativity and innovative thinking.
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.
21st Century themes and skills: Critical Thinking and Problem Solving, Collaboration, Teamwork and
Leadership, Creativity and Innovation
Mathematical Practices:
8.MP.2 Reason abstractly and quantitatively.
8.MP.3 Construct viable arguments and critique the reasoning of others.
8.MP.4 Model with mathematics.
8.MP.5 Use appropriate tools strategically.
8.MP.6 Attend to precision
8.MP.7 Look for and make use of structure.
Learning Targets
Domain: Geometry
Cluster: Understand congruence and similarity using physical models, transparencies, or geometry
software.
Standard #
Standards
Understand that a two-dimensional figure is similar to another if the
8.G.4
second can be obtained from the first by a sequence of rotations,
reflections, translations, and dilations; given two similar two dimensional
figures, describe a sequence that exhibits the similarity
between them.
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.C.2
Demonstrate the use of compromise, consensus and community building strategies for
carrying out different task, assignments and projects.
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.3
Model leadership skills during classroom and extracurricular activities.
Unit Essential Questions
 How are probability simulations used to model
real-world situations?
Unit Enduring Understandings
 Geometric probability describes the chances of
landing in a specific region.
 Outcomes affect probabilities.
 Students will use data to solve problems.
Unit Learning Targets
Students will ...
 Find the probability of an event based on area
 Solve problems by acting them out
 Solve a problem by collecting, organizing, displaying, and interpreting data
Evidence of Learning
Summative Assessment
 Use data to estimate the probability of future events.
 Design simulations to estimate probabilities.
Equipment needed: spinners, coins, rulers, counters, algebra tiles, centimeter cubes
Teacher Instructional Resources: Textbook (to be determined)
Study Island
Khan Academy Videos
Formative Assessments
 Skill sheets
 Quizzes/Tests
 Student workbook
 Homework
 Math games
 Study Island
Integration of Technology:
 Smart Board to play online games, utilize online resources, generate models with Smart Software.
 Kahn Academy Videos
 Elmo – for demonstration
 Study Island
Technology Resources:
http://www.purplemath.com
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-8 - IXL 8th grade online interactive activities for the students to
complete
http://www.aaamath.com/grade8.html - AAA math 8th grade – online interactive activities and
problems for the student to complete.
http://www.adaptedmind.com/Math-Worksheets.html?type=hstb – Grade level material for practice,
lessons, games, etc.
Opportunities for Differentiation:
Decelerate:
Accelerated:
Teacher Notes: