College and Career Readiness Conference Middle School Geometry Summer 2015

Ice Breaker Three Words Which Three Words Best Describe You? Hi, my name is Margo and the three words that describe me are……. 1) Google Master 2) Curious 3) Reader

Ice Breaker Two Words Which 2 geometry math words best describe you? Hi, my name is Margo and the two words that describe me are……. 1) reasoner 2) explorer

Agenda Ice BreakerObjectives, Agenda, NormsReview of Geometry Progression DocumentGeometry Middle School Standard ReviewGeometry ActivitiesInteractive NotebookLessons LearnClosing 4

Today’s Outcome Part 1 Participants will: Review and Discuss Geometry Progression Document Review and Discuss progression of Middle School Geometry Standards Construct figures using scale factors of 2 and 3 using AngLegs (Grade 7) Investigate conditions for building triangle using AngLegs (Grade 7)

Outcomes Investigate an application problem using 7.G.1 and 7.G.2 Demonstrate the triangle sum theorem using AngLegs (Grade 8)

Today’s Outcome Part 2 Participants will: Investigate transformations using the xy coordinate peg boards Investigate the Pythagorean Theorem using AngLegs and Color Tiles (Grade 8) Develop an application problem using transformations or the Pythagorean Theorem

Group Norms Understand that those who work, learn Look for solutions, not blame Focus on systems, not people Share talk time Recognize that everyone has expertise Challenge ideas Reduce techno- distractions Respect our professional learning environment

Key Shifts in Mathematics Greater focus on fewer topics Coherence: Linking topics and thinking across grades Rigor: Pursue conceptual understanding, procedural skills and fluency, and application with equal intensity

Mathematical Practices 1. Make sense of problems and persevere in solving them. 2. Reason abstractly and quantitatively. 3. Construct viable arguments and critique the reasoning of others. 4. Model with mathematics. 5. Use appropriate tools strategically. 6. Attend to precision. 7. Look for and make use of structure. 8. Look for and express regularity in repeated reasoning.

Geometry Progression Document

Table Jigsaw Read the geometry progression document for K-6 Participant 1: Overview Participant 2: Kindergarten, Grade 1 Participant 3: Grades 2, 3 Participant 4: Grades 4,5 Participant 5: Grade 6, Where it’s heading…..

Middle School Geometry Overview Grade 6Grade 7Grade 8 Solve real-life and mathematical problems area, surface area, and volume. Draw, construct, and describe geometrical figures and describe the relationship between. Solve real-life and mathematical problems involving angle measure, area, surface area, and volume. Understand congruence, and similarity using physical models, transparencies, or geometry software. Understand and apply the Pythagorean Theorem. Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Turn To Your Table Partner Read over the geometry standards handout for the middle school grades Discuss with your elbow partner the similarities and progression of the geometry standards. Briefly share

Activities

Session Resources Manipulatives XY Coordinate PegBoard AngLegs Color Tiles Compass Protractor Interactive Notebook Grid Paper Foldables Gluestick

Activity 1 Construct figures using scale factors of 2 and 3

Foldable Option

Connecting to the Work… What did we do? What is one take-away Teacher Action? What is one take-away Student Action? 19 Capture sheet: What are you taking back to the classroom and to your students?

Activity 2 Investigate conditions for building triangle using AngLegs

Foldable Option

Interactive Notebook Glue your foldable into the notebook on the 3 rd page.

Connecting to the Work… What did we do? What is one take-away Teacher Action? What is one take-away Student Action? 23 Capture sheet: What are you taking back to the classroom and to your students?

Application Compare and Contrast the two application problems using geometric figures and scale factors Turn and Talk  Which problem do you see using in your classroom and why?  What recommendations would you make to change the problems to meet the needs of your students?

Activity 3 Demonstrate the triangle sum theorem using AngLegs

Foldable Option

Connecting to the Work… What did we do? What is one take-away Teacher Action? What is one take-away Student Action? 27 Capture sheet: What are you taking back to the classroom and to your students?

Interactive Notebook Glue your foldable into the notebook on the 4th page.

Today’s Outcome Part 2 Participants will: Investigate transformations using the xy coordinate peg boards Investigate the Pythagorean Theorem using AngLegs and Color Tiles (Grade 8) Develop an application problem using transformations or the Pythagorean Theorem

Quick Write On a post-it, write down what you know about reflections, translations and rotations? Please put this on the top right hand corner of your desk.

Activity 4 Explore reflections of a geometric figure and its line of reflection using an XY Coordinate PegBoard

Activity 5 Translate a geometric figure using an XY Coordinate PegBoard

Activity 6 Dilate a plane figure using an XY Coordinate PegBoard

Activity 6 Rotate a plane figure given a number of degrees around a fixed point using an XY Coordinate PegBoard

Foldable for Interactive Notebook

Interactive Notebook Glue your foldable into the notebook on the 5 th page.

Connecting to the Work… What did we do? What is one take-away Teacher Action? What is one take-away Student Action? 38 Capture sheet: What are you taking back to the classroom and to your students?

Activity 7 Develop a visual understanding of the Pythagorean Theorem using AngLegs and Color Tiles

Foldable Option

Interactive Notebook Glue your foldable into the notebook on the 5 th page.

Connecting to the Work… What did we do? What is one take-away Teacher Action? What is one take-away Student Action? 42 Capture sheet: What are you taking back to the classroom and to your students?

Interactive Notebook

Geometry Math Standards Review content standards used in the activities. Discuss with your elbow partner Other skills and/or activities that could be addressed to further your student’s understanding The practice standards that were used in the activities

Application Time With your elbow partner, develop an application problem using the transformations or Pythagorean Theorem. Write the problem down on chart paper and include an necessary diagrams.

Gallery Walk Gallery Walk Read the application problems developed by the other table partners. Make suggestions to the problem authors as you rotate for further consideration.

Connecting to the Work… What did we do? What is one take-away Teacher Action? What is one take-away Student Action? 47 Capture sheet: What are you taking back to the classroom and to your students?

Lessons Learned

Today’s Outcome Part 1 Participants will: Review and Discuss Geometry Progression Document Review and Discuss progression of Middle School Geometry Standards Construct figures using scale factors of 2 and 3 using AngLegs (Grade 7) Investigate conditions for building triangle using AngLegs (Grade 7)

Outcomes Investigate an application problem using 7.G.1 and 7.G.2 Demonstrate the triangle sum theorem using AngLegs (Grade 8)

Today’s Outcome Part 2 Participants will: Investigate transformations using the xy coordinate peg boards Investigate the Pythagorean Theorem using AngLegs and Color Tiles (Grade 8) Develop an application problem using transformations or the Pythagorean Theorem

Questions or Comments?

ThankYou!