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10 20 lesson plans
10 20 lesson plans

High School Geometry
High School Geometry

InvestigatingAngles gem
InvestigatingAngles gem

Pythagorean Theorem - BYU Math Department
Pythagorean Theorem - BYU Math Department

... his School was the first to discover its proof can’t be claimed with any degree of credibility. Euclid’s (c 300 B.C.) Elements furnish the first and, later, the standard reference in Geometry. In fact Euclid supplied two very different proofs. The Theorem is reversible which means that a triangle wh ...
M4 - Hauppauge School District
M4 - Hauppauge School District

Lesson 6.3 • Arcs and Angles
Lesson 6.3 • Arcs and Angles

Unit 5 PDF - Carroll County Public Schools
Unit 5 PDF - Carroll County Public Schools

Drinking Straw Activity
Drinking Straw Activity

Shape Up!
Shape Up!

SURFACE MEASUREMENTS
SURFACE MEASUREMENTS

Learning Target - Mattawan Consolidated School
Learning Target - Mattawan Consolidated School

... Appropriately place geometric figures in the coordinate plane to prove statements and/or solve problems about these figures. You have used coordinate geometry to find the midpoint of a line segment and to find the distance between two points. Coordinate geometry can also be used to prove conjectures ...
2012 Junior Certificate Higher Level Official Sample Paper 2
2012 Junior Certificate Higher Level Official Sample Paper 2

... The point A is shown on the coordinate plane. The same scale is used on both axes. (a) Draw and label a line l1 through A which has a slope of 21 . On a line of slope 12 , if we increase the x value by one unit, we increase the y value by 12 units. In this way we can draw the point B, relative to po ...
documentation dates
documentation dates

... 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; and points on a perpendicular bisector of a line segment are exactly those equidistant fro ...
Congruence and Triangles
Congruence and Triangles

Circle Geometry - Indigenous Perspectives in Mathematics
Circle Geometry - Indigenous Perspectives in Mathematics

Learning Area
Learning Area

... J ...
Identify each pair of angles as adjacent, vertical, complementary
Identify each pair of angles as adjacent, vertical, complementary

exam unit 2 - Menihek Home Page
exam unit 2 - Menihek Home Page

PH_Geo_2-2_Biconditionals_and_Definitions[1]
PH_Geo_2-2_Biconditionals_and_Definitions[1]

... Writing Math The biconditional “p if and only if q” can also be written as “p iff q” or p  q. ...
usd294.org
usd294.org

Theorem Sheet v5_0
Theorem Sheet v5_0

Chapter 0
Chapter 0

CONGRUENCE OF TRIANGLES
CONGRUENCE OF TRIANGLES

... Answer: If AB= AC then angles opposite to these sides will be equal. As you know the sum of all angles of a triangle is equal to 180°, So,  A+  B+  C=180° Or, 90°+  B+  C=180° Or,  B+  C=180°-90°=90° Or,  B=  C=90° 8. Show that the angles of an equilateral triangle are 60° each. Answer: As ...
a copy. - MATHEMATICS 6-7
a copy. - MATHEMATICS 6-7

File
File

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Rational trigonometry

Rational trigonometry is a proposed reformulation of metrical planar and solid geometries (which includes trigonometry) by Canadian mathematician Norman J. Wildberger, currently an associate professor of mathematics at the University of New South Wales. His ideas are set out in his 2005 book Divine Proportions: Rational Trigonometry to Universal Geometry. According to New Scientist, part of his motivation for an alternative to traditional trigonometry was to avoid some problems that occur when infinite series are used in mathematics. Rational trigonometry avoids direct use of transcendental functions like sine and cosine by substituting their squared equivalents. Wildberger draws inspiration from mathematicians predating Georg Cantor's infinite set-theory, like Gauss and Euclid, who he claims were far more wary of using infinite sets than modern mathematicians. To date, rational trigonometry is largely unmentioned in mainstream mathematical literature.
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