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## Geometry

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**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