Geometry Lecture 7-24

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Geometry Chapter 3 : 

Geometry Chapter 3 Big Ideas: Transformations & Symmetry July 24, 2008

Opening Activity : 

Opening Activity Construct a triangle on a piece of patty paper. On a blank piece of paper, physically translate (slide), reflect (flip), and rotate (turn) the triangle and trace. What do students in elementary learn about these Big Ideas?

Transformations & Symmetry : 

Transformations & Symmetry Describe sizes, positions, and orientations of shapes under informal transformations such as flips, turns, slides, and scaling Examine the congruence, similarity, and line or rotational symmetry of objects using transformations

Agenda : 

Agenda Warm-up / Intro to Transformations Exit cards /Questions /Defn “Dilation” Process Standard: Communication Pre-assessment—Reflection of Images Activities: Table of Contents Calculator: TI-84 Cabri Jr. Wrap-up/Exit Card

Which shape are feeling most like today and why? : 

Which shape are feeling most like today and why? Any other comments or suggestions.

Communication : 

Communication Organize and consolidate their mathematical thinking through communication Communicate their mathematical thinking coherently to peers, teachers, and others

Communication : 

Communication Analyze and evaluate the mathematical thinking and strategies of others. Use the language of mathematics to express mathematical ideas precisely

Process Standard: Communication : 

Process Standard: Communication Through communication students can: Test their thinking Clarify misconceptions Discover alternate ideas Extend their understandings

Slide 9: 

“As students struggle to get their thoughts into words, they are challenged to process the ideas in order to restate them, elaborate on them, or conjecture about them.” Introduction to Communication, pg.1

Slide 10: 

Read, write, talk, and listen leads to Think, analyze, summarize, prioritize, and reflect

We can assist student by paying attention to foundational skills such as: : 

We can assist student by paying attention to foundational skills such as: Vocabulary Development Organization of Thinking Understanding question/answer relationships Modeling ways to express mathematical ides

Other Benefits to Students : 

Other Benefits to Students Communication is active. Some process ideas as they talk, write, etc. Discussions bolster understanding of ideas Communication helps students recognize what they do and don’t know.

Other Benefits to Students : 

Other Benefits to Students The ability to clearly communicate is a goal for our students in all content areas. Group/partner work, writing activities, and class discussions are all vital ways to motivate and engage middle grades students. Reduce students’ anxiety. (support)

Reflection of Images : 

Reflection of Images Supplies: Worksheet Ruler Tracing Paper

Translations, Reflections, Rotations : 

Translations, Reflections, Rotations Supplies: Worksheet Ruler Tracing Paper

Using Scale Factors : 

Using Scale Factors Supplies: Worksheet Rulers Protractors & Scissors (?)

Explorations with Lines of Symmetry : 

Explorations with Lines of Symmetry Supplies: Worksheet Ruler

Understanding Types of Symmetry : 

Understanding Types of Symmetry Supplies: Worksheet

Cabri Jr. : 

Cabri Jr. Tutorial at Hotmath.com

Assignment : 

Assignment Read the van Hiele Model article for tomorrow. Read pages 54-56 in Chapter 3. Skim the Deborah Ball article for tomorrow. Bring lunch for tomorrow.

Which shape are feeling most like today and why? : 

Which shape are feeling most like today and why? Any other comments or suggestions.