Chapter 1 MS3 Geometry

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Chapter 1Characteristics and Properties of Shape : 

Chapter 1Characteristics and Properties of Shape Tuesday, July 22, 2008

BIG Ideas : 

BIG Ideas Shape Location Transformation Visualization

Essential Questions : 

Essential Questions What makes shapes different? How can I describe my location? What are some different ways I can move a shape without changing it’s size? When will I use geometry outside of this math class?

Learning Targets : 

Learning Targets Teachers will: Identify important concepts that MS students should learn regarding shape Understand how to access what a student knows about shape Be able to use technology (calculator and Geogebra) to explore shape

Language Objectives : 

Language Objectives Large group discussion of two activities read last night Write, pair share, whole group on PS

Agenda : 

Agenda Exit Cards / Questions Process Standard: Problem Solving Discussion: What’s so important about shape? Geodee’s Sorting Scheme Break Computer Lab (Cabri Jr and Geogebra) Exploring Similar Figures

Problem Solving : 

Problem Solving Build new mathematical knowledge through problem solving Solve problems that arise in mathematics and in other contexts Apply and adapt a variety of appropriate strategies to solve problems Monitor and reflect on the process of mathematical problem solving

Questions to consider : 

Questions to consider When you were a student the middle grades, were you taught how to solve math problems or just assigned math problems to solve?

Questions to consider : 

Questions to consider How did you feel about math problem solving as a student in the math classroom?

Questions to consider : 

Questions to consider In what ways do your past experiences and attitudes about problem solving affect your teaching of problem solving?

Questions to consider : 

Questions to consider If students show competence with computational skills but lack problem-solving skills, how might it affect their math achievement? What possible problems might they experience?

Questions to consider : 

Questions to consider What attitudes are essential for effective problem solving? How might we support students in developing these attitudes?

Questions to consider : 

Questions to consider What skills are essential for effective problem solving? How might you help your students acquire those skills?

Slide 14: 

The ability to problem solve is our ultimate goal in mathematics.

Creating Effective Problem Solvers : 

Creating Effective Problem Solvers Starting by assigning problems to students and expecting them to solve them on their own can create anxiety and frustration. Start by breaking down skills students need to solve problems. Guide students in developing some specific strategies to organize their thinking.

Developing Skills and Attitudes : 

Developing Skills and Attitudes Problem solving requires patience. Problem solving requires persistence. Problem solving requires risk taking. Problem solving requires cooperation.

Cooperative Problem Solving : 

Cooperative Problem Solving Students work in groups of four to solve problems. The problem data are divided between four cards. Each student receives one card and must his card to the group. The group then works together to discuss and solve the problem. Check the solution by having all members read their card again.

Categorizing 2D and 3D Shapes : 

Categorizing 2D and 3D Shapes Concave vs. Convex Symmetry Polygons “Regular”

Geodee’s Sorting Scheme : 

Geodee’s Sorting Scheme Preview Activity Extentions Process

BREAK : 

BREAK Meet in the computer lab for Exploring Triangles and Midsegments of Triangles

Exploring Similar Figures : 

Exploring Similar Figures

Slide 22: 

Pythagorean Theorem

Assignment: : 

Assignment: Read Chapter 2 intro pg. 31-35. Skim the Deborah Ball article.

Shape Summary : 

Shape Summary Fill out the purple summary and turn in. Keep the white summary as a template for yourself.

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