UDL Unit Geometry and Measurement Brandi Ripa Classroom

UDL Unit: Geometry and Measurement Brandi Ripa

Classroom Demographics � 22 students: • 10 boys, 12 girls • 14 Caucasian, 4 African American, 3 Hispanic, 1 Asian • 5 Students with an IEP: � 3 Learning Disabled � 1 Speech or Language Impaired � 1 Autistic �All students come from middle- to lowermiddle class homes

Lesson Components �Grade: 7 th �Unit: Geometry and Measurement �Time Frame: 3 weeks �Goal: At the end of this unit students will draw, construct and describe geometrical figures and describe the relationships between them.

Bloom’s Taxonomy � Remembering: • Memorize the angle measures of special triangles (30 -60 and 45 -45 right triangles). • Define triangles based on angles and side measures. � Understanding: • Identify special pairs of angles and relationships of angles formed by two parallel lines cut by a transversal. • Classify triangles and quadrilaterals by their angles and sides. • Identify congruent polygons. � Applying: • Graph reflections, translations, and rotations on a coordinate plane. � Analyzing: • Differentiate the line of symmetry versus rotational symmetry. � Evaluating: • Evaluate missing angle measures in triangles and quadrilaterals. � Creating: • Construct a perpendicular bisector of a segment. • Construct congruent triangles.

NYS Common Core Standards Draw construct, and describe geometrical figures and describe the relationships between them. 1. Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale. 2. Draw (freehand, with ruler and protractor, and with technology) geometric shapes with given conditions. Focus on constructing triangles from three measures of angles or sides, noticing when the conditions determine a unique triangle, more than one triangle, or no triangle. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. 5. Use facts about supplementary, complementary, vertical, and adjacent angles in a multi-step problem to write and solve simple equations for an unknown angle in a figure.

All Most Some • All students will draw and classify geometrical figures, and describe the relationships between them. • Most students will discover geometric relationships in authentic situations. • Some students will formulate conjectures about the relationships between sides of a triangles and/or the degrees of angels in polygons.

Unit Calendar- Week 1 Monday Tuesday Wednesday Thursday Topic: Classifying Triangles Topic: Special Triangles Topic: Identifying Angles Topic: Constructing bisectors • Introduction • Math Dance • Make additions to LINCS • Math. Is. Fun Manipulative • LINCS Graphic Organizer • Math-Play Triangles Game • Think-Pair. Share • Activity. Angles All Around Me Friday Topic: Constructing Congruent Triangles • Video- Math Open Reference • Exit Slip

Unit Calendar- Week 2 Monday Tuesday Wednesday Thursday Friday • Review Topic: Classifying Quadrilaterals Topic: Angles of Polygons Topic: Congruent Polygons Topic: Graphing Geometric Figures • Quiz • Polygon RAFT • LINCS worksheet • Johnnie’s Math Page Activities • Exit Slip • Congruent Triangles Interactive Manipulative • Life-Size Graphing • Exit Slip • Present RAFTs

Unit Calendar- Week 3 Monday Tuesday Wednesday Thursday Friday Topic: Reflections Topic: Translations Topic: Rotations • Review for test • Summative Assessment. Unit Test • Be My Reflection • Translation Activity A or B (Student Choice) Activity: Creating Tessellations • Cooperative Group Work • SMART Board Activity • Exit Slip

Assessments FORMATIVE � Teacher Observation � Exit Slips � Class Activity Assignments � Demonstrations with visuals/ manipulatives /dances � Quiz SUMMATIVE � Unit Test � Transformations Activity

Materials Resources Technology • Graph paper • Rulers • Compasses • LINCS Graphic Organizer • Geometry Sudoku App • Geome. Try App • Math-Play Triangles Game • Math. Is. Fun • National Library for Virtual Manipulatives • Calculators • SMART Board • Computer • Tablet/i. Phone Neural Networks Representation Expression Engagement • LINCS worksheet • Note Sheets • Graphs • Verbal Discussions • Classroom Discussions • Formative /Summative Assessments • Math Dance • Angles All Around Me Activity • Interactive Games

Geometry Unit Poster The teacher will allow students to draw examples of each polygon in the blank areas as an anchor activity.

LINCS Poster Will be hanging in the classroom for student reference throughout the lesson.

This is the description of the Math Dance Activity.

Translation Activity A � Students will have a choice to complete Activity A or B

Activity B

Reflection worksheet that will be projected on the SMARTBoard. Students who need to physically move the shapes around the coordinate plane will be given the opportunity to come up and do so.

Translations Assessment

RAFT Activity Role Audience Format Topic -Teacher -Student -Journalist -Engineer -Chef -Quadrilateral -Triangle -Mathematician -Beautician -Musician -Self -Friend -Parents -Sibling -Teacher -Boss -Students -Other Polygons -Newspaper Article -Brochure -Cartoon -Poem -Recipe -Instruction Manual -Short Story -Characteristics of Polygons -Relationships between sides and angles -Differences between types of triangles -Differences between types of quadrilaterals

References National Library of Virtual Manipulatives. (2013). Virtual library. Retrieved from http: //nlvm. usu. edu/ Popovici, D. (2012). Classifying triangles game. Retrieved from http: //www. mathplay. com/classifying-triangles/classifyingtriangles. html Wright, B. (2010, May 25). Pe central. Retrieved from http: //www. pecentral. org/lessonideas/View. Le sson. asp? ID=10000