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More on, x^2 + y^2 =1

Excerpted from the New York Times, Nov. 25, 2014

The Lives of Alexander Grothendieck, a Mathematical Visionary

“When we write “x2 + y2 = 1,” we wish into existence a perfect circle. 135 more words

General Interest

Pattern Block Wampanoags

We’ve been learning about the first Thanksgiving, Pilgrims, and the Wampanoags.  During our read aloud time, we read the story The Very First Thanksgiving Day  39 more words

Kindergarten

Using Rigid Motions for Parallel Lines Angle Proofs

CCSS-M.G-CO.C.9. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent… 771 more words

Geometry

Vertical Angles Are Congruent

CCSS-M.G-CO.C.9. Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. 460 more words

Geometry

Angle Bisection and Midpoints of Line Segments

As we finished Unit 2 on Tools of Geometry this year, I looked back at Illustrative Mathematics to see if a new task had been posted that we might use on our “put it all together” day before the summative assessment. 662 more words

Geometry

Proving Triangles Congruent - SAS

CCSS-M. G-CO.B.8. Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions.

This standard made me realize that the textbooks I had used for a long time allowed the ASA, SAS, and SSS Triangle Congruence Theorems into our deductive system as postulates. 641 more words

Geometry