Geometry

1. Geometry Grade 7 – Module 6

2. Session Agenda • Understand the mathematical concepts developed within Grade 7 Module 6. • Practice collecting evidence of effective instruction using transcripts of classroom instruction. • Discuss feedback strategies for supporting scaffolding and accommodation techniques for special populations.

3. What’s In a Module? • Teacher Materials • Module Overview • Topic Overviews • Daily Lessons • Assessments • Student Materials • Daily Lessons with Problem Sets • Copy Ready Materials • Exit Tickets • Fluency Worksheets / Sprints • Assessments

4. Types of Lessons • Problem Set Students and teachers work through examples and complete exercises to develop or reinforce a concept. • Socratic Teacher leads students in a conversation to develop a specific concept or proof. • Exploration Independent or small group work on a challenging problem followed by debrief to clarify, expand or develop math knowledge. • Modeling Students practice all or part of the modeling cycle with real-world or mathematical problems that are ill-defined.

5. What’s In a Lesson? • Teacher Materials Lessons • Student Outcomes and Lesson Notes (in select lessons) • Classwork • General directions and guidance, including timing guidance • Bulleted discussion points with expected student responses • Student classwork with solutions (boxed) • Exit Ticket with Solutions • Problem Set with Solutions • Student Materials • Classwork • Problem Set

6. Curriculum Overview of A Story of Ratios

14. Turn and Talk • What difficulties would you anticipate with student understanding of the mathematics in this section? • What scaffolds would be effective for addressing those difficulties?

15. Topic A: Unknown Angles • 7.G.B.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.

18. Graphic Organizer

19. Creating Models

20. Highlight critical vocabulary in discussion

24. Topic B: Constructing Triangles 7.G.A.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.

25. Topic B: Constructing Triangles

28. Explicitly teach vocabulary

29. Activity Correspondence Lesson 5 / Example 2 Two identical triangles are shown below. Give a correspondence that matches equal sides and equal angles.

40. Lesson Transcript Activity

46. Checking for Identical Triangles Lesson 14 / Examples 1-2

47. Using Unique Triangles to Solve Real World and Mathematical Problems Lesson 15 / Exercise 2 Quadrilateral is a model of a kite. Diagonals and represent the sticks that help keep the kite rigid.

48. Mid-Module Assessment • Assessment • Progression Toward Mastery Rubric • Exemplary Student Responses

49. Topic C: Slicing Solids 7.G.A.3 Describe the two-dimensional figures that result from slicing three-dimensional figures, as in plane sections of right rectangular prisms and right rectangular pyramids.

50. Slicing a Right Rectangular Prism with a Plane Lesson 16