Secondary Mathematics II
Educational Links
Strand: GEOMETRY - Expressing Geometric Properties With Equations (G.GPE)
Translate between the geometric description and the equation for a conic section
(Standard G.GPE.1). Use coordinates to prove simple geometric theorems algebraically. Include simple proofs involving circles
(Standard G.GPE.4). Use coordinates to prove simple geometric theorems algebraically
(Standard G.GPE.6).
Standard G.GPE.6
Find the point on a directed line segment between two given points that partitions the segment in a given ratio.
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Finding triangle coordinates
The purpose of this task is to use similar triangles in order to study the coordinates of points which divide a line segment in a given ratio.
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GEOMETRY - Expressing Geometric Properties With Equations (G.GPE) - Sec Math II Core Guide
The Utah State Board of Education (USBE) and educators around the state of Utah developed these guides for the Secondary Mathematics II - Expressing Geometric Properties with Equations (G.GPE).
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Module 6: Similarity & Right Triangle Trigonometry - Student Edition (Math 2)
The Mathematics Vision Project, Secondary Math Two Module 6, Similarity and Right Triangle Trigonometry, introduces the last of the transformations, dilation. A big idea of Module 6 is that two figures are similar if a sequence of rigid transformation and dilations exists that maps one figure onto the other.
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Module 6: Similarity & Right Triangle Trigonometry - Teacher Edition (Math 2)
The Mathematics Vision Project, Secondary Math Two Module 6, Similarity and Right Triangle Trigonometry, introduces the last of the transformations, dilation. A big idea of Module 6 is that two figures are similar if a sequence of rigid transformation and dilations exists that maps one figure onto the other.
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Scaling a Triangle in the Coordinate Plane
The goal of this task is to apply dilations to a triangle in the coordinate plane.
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Slope Criterion for Perpendicular Lines
The goal of this task is to use similar triangles to establish the slope criterion for perpendicular lines.
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Student Task: Square
In this task, students are given four points on a graph, and must prove that they are the corners of a square.
http://www.uen.org - in partnership with Utah State Board of Education
(USBE) and Utah System of Higher Education
(USHE). Send questions or comments to USBE
Specialist -
Lindsey
Henderson
and see the Mathematics - Secondary website. For
general questions about Utah's Core Standards contact the Director
-
Jennifer
Throndsen.
These materials have been produced by and for the teachers of the
State of Utah. Copies of these materials may be freely reproduced
for teacher and classroom use. When distributing these materials,
credit should be given to Utah State Board of Education. These
materials may not be published, in whole or part, or in any other
format, without the written permission of the Utah State Board of
Education, 250 East 500 South, PO Box 144200, Salt Lake City, Utah
84114-4200.