TI-Nspire - Geometry: Circles - Angles and Arcs
This lesson involves manipulating endpoints of an arc, manipulating an inscribed angle, and manipulating the vertex of an angle intercepting an arc. As a result students will:
* Use visualization to understand the definitions of central angle, intercepted arc, & minor & major arcs.
* Infer that the sum of the measures of minor and major arcs is 360°, that two inscribed angles intercepting the same arc have the same measure, and that the inscribed angle has half the measure of the central angle that intercepts the same arc.
* Deduce that the opposite angles of a quadrilateral inscribed in a circle are supplementary.
(taken from TI website)
Grade Level: Grades 9-12
PSSM Content Standard: Geometry
CCSSM Content Standard: Geometry
Math Content: Central angle, Inscribed angle, Major arc, Minor arc, and Intercepted arc
* Use visualization to understand the definitions of central angle, intercepted arc, & minor & major arcs.
* Infer that the sum of the measures of minor and major arcs is 360°, that two inscribed angles intercepting the same arc have the same measure, and that the inscribed angle has half the measure of the central angle that intercepts the same arc.
* Deduce that the opposite angles of a quadrilateral inscribed in a circle are supplementary.
(taken from TI website)
Grade Level: Grades 9-12
PSSM Content Standard: Geometry
CCSSM Content Standard: Geometry
Math Content: Central angle, Inscribed angle, Major arc, Minor arc, and Intercepted arc
Online Resource Evaluation - TI-Nspire - Geometry: Circles - Angles and Arcs | |
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