Geometry By: Brittany Kelley
Introduction • 10 Day Unit • Teaches basic geometry terms and concepts to 8th grade students • Integrates technology in a fun way
Analyze Learners • Taught in 8th grade classroom • Ages 13 to 14 • Should be briefly introduced • Review and advance knowledge • Classroom includes wide range of learners
State Objectives • M.O.8.3.1 Justify the relationships among corresponding, alternate interior, alternate exterior and vertical angles when parallel lines are cut by a transversal using models, pencil/paper, and technology. • M.O.8.3.2 Classify polyhedrons according to the number and shape of faces; use inductive reasoning to determine the relationship between vertices, faces and edges (edges + 2 = faces + vertices). • M.O.8.3.3 Identify, apply, and construct perpendicular and angle bisectors with and without technology given a real-world situation. • M.O.8.3.4 Create geometric patterns including tiling, art design, tessellations and scaling using transformations (rotations, reflections, translations) and predict results of combining, subdividing, and changing shapes of plane figures and solids.
State Objectives (cont.) • M.O.8.3.5 Create scale models of similar figures using ratio, proportion with pencil/paper and technology and determine scale factor • M.O.8.3.6 Make and test a conjecture concerning regular polygons, the cross section of a solid such as a cylinder, cone, and pyramid, the intersection of two or more geometric figures in the plane (e.g., intersection of a circle and a line), and justify the results. • 21C.O.5-8.2.TT3 Student uses multiple technology tools for gathering information in order to solve problems, make informed decisions, and present and justify the solutions.
Select Media and Materials Materials: • Geometer’s Sketchpad software • Worksheets • Bulletin Board • Graph Paper • Colored Pencils • Smartboard • Supplies to make polyhedrons • The Standard Deviants – Geometry (DVD)
Select Media and Materials • Classzone http://www.classzone.com/books/geometry/index.cfm • Learning Math http://www.learner.org/channel/courses/learningmath/geometry/ • About.com http://math.about.com/gi/dynamic/offsite.htm?zi=1/XJ/Ya&sdn=math&cdn=education&tm=5&gps=90_98_1276_597&f=00&su=p774.1.140.ip_&tt=14&bt=0&bts=0&zu=http%3A//mathforum.org/geometry/geom.units.html • The Solution Site http://www.thesolutionsite.com/lesson/1057/grandviewelB1.html
Utilize Media and Materials • Day 1 • Review basic concepts & terms • PowerPoint Presentation • Handout with PowerPoint • Day 2 • Lines & Angles • Geometer’s Sketchpad with Smartboard • Students construct object on board
Utilize Media and Materials (cont.) • Day 3 • Review angles with bulletin board • Worksheet on bulletin • Introduce 3-D objects with classroom object • List objects for homework • Day 4 • Student with most examples gets a prize • Introduce three day long project • Building project with group • Need to know how geometric factors are functional in project
Utilize Media and Materials (cont.) • Day 5 • Entire class time to work on building projects • Ask question while they work as a group • Day 6 • Each group gives a 3-5 min. presentation about their building • Graded on Presentation and overall project
Utilize Media and Materials (cont.) • Day 7 • Classroom discussion on polyhedrons • Create own polyhedrons and turn in for a grade • Last 20 minutes doing internet activity • Day 8 • Worksheet reviewing previous day • Discuss symmetry and transformations • Each students comes to board to draw line of symmetry
Utilize Media and Materials (cont.) • Day 9 • Watch movie – “The Standard Deviants – Geometry (pt. 1 & 2)” • Worksheet on video to keep students on task • Day 10 • Instead of formal exam students participate in a variety of activities, including Geometry Simon Says.
Require Learner Participation • Individual and group activities • Wide range of learning styles • Most work completed on their own • Required handouts to be turned in for grades • Hold attention with various forms of technology ranging from the interactive Smartboard, to online activities
Evaluate and Revise • M.O.8.3.1 – Presentation on building project • M.O.8.3.2 – Create own polyhedrons • M.O.8.3.3 – Construct building and give presentation • M.O.8.3.4 – Students come to board to demonstrate symmetry and create tessellations • M.O.8.3.5 – Unofficially evaluated while working on building project • M.O.8.3.6 – Evaluated by giving examples of 3-D objects for homework • 21C.O.5-8.2.TT3 – Informally assess student’s basic understanding of symmetry by using the Smartboard on day 8