Geometry CC PD 2013
Reflections of Geometry CC Summer PD
Standards of Mathematical Practices with Teacher Summary's
Constructions
Teachers performed constructions with patty paper, a mirra, compass, and Geometers Sketchpad
Quadrilaterals
Parallelogram
non consecutive angles congruent
Rectangle
angles congruent since they are all 90 degrees
diagonals congruent
Square
equlateral
diagonals congruent
Trapezoid
Equilateral Triangle
all angles congruent (equiangular)
Right Triangle
Isosceles Triangle
Right Isosceles Triangle
Kite
3 pairs of congruent triangles
diagonals intersect at right angles
non consecutive angles are equal
Geometers Sketchpad Investigations
Triangle Center Investigations
Word Wall
Can you create a picture from vocabulary?
Making Conjectures from Quadrilateral Investigations
Euler Line Investgations
Teachers explored the relationships with the various triangle centers
Coordinate Geometry
Transformation Geometry
Reflections
Rotations
Greenville Area Map
Map Problems
Broken Plate Problem
Broken Plate Problem
Mall Problem
Compositions of Transformations
Lessons and Activities
Lessons Learned
Deepen students thinking with higher order questions.
- What is it?
- How do I find it?
- Why do I care?
- Where is it located?
- Why is it important?
- Show me your evidence.
- How does this connect to what you already know?
- What new questions do you have?
- What is the relationship?
- Is there a ...?
- Is slope important...?
- How many different ways...?
- How did you know?
-Our standards are not a checklist or a to do, but ideas that are to be connected and show relationships.
-Students need to know how to use tools strategically and know there is more than one tool they can use to solve a problem. i.e. patty paper, mirra, compas, technology.
-Technology drives what students can do today. Students are able to explore more now.
-Students are more empowered with tech now more then ever (from beyond the classic setting with just compass and straightedge)
-With tech you can do so much more not just pressing buttons that allows room for discovery.
-You want your students to improve their critical thinking from whenever you get them.
-Teachers complain: "these kids don't think." If you have them a whole year, the following year teacher should see improved thinking and reasoning.
Encourage further thinking with
-I notice...
-I wonder...
-Rigor in Geometry goes way beyond just solving a quadratic equation, instead ask students, "What is the system of equations that defines the quadrilateral?"
-Write the equation of the perpendicular lines for this...
-All students need hands on learning from low math skill level to advanced.