Exploring Function Transformations Using the Common Core

Autor/inn/en	Hall, Becky; Giacin, Rich
Titel	Exploring Function Transformations Using the Common Core
Quelle	In: Mathematics Teacher, 107 (2013) 2, S.132-137 (6 Seiten) PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0025-5769
Schlagwörter	Leitfaden; Unterricht; Lehrer; Academic Standards; State Standards; Mathematics; Geometry; Mathematics Instruction; Secondary School Mathematics; High School Students; Pretests Posttests; Instructional Effectiveness; Transformations (Mathematics) + Suchen Sie Ihr Suchwort? Lesson concept; Instruction; Unterrichtsentwurf; Unterrichtsprozess; Teacher; Teachers; Lehrerin; Lehrende; Mathematik; Geometrie; Mathematics lessons; Mathematikunterricht; High school; High schools; Student; Students; Oberschule; Schüler; Schülerin; Studentin; Unterrichtserfolg; Transformationstheorie
Abstract	When examining transformations of the plane in geometry, teachers typically have students experiment with transformations of polygons. Students are usually quick to notice patterns with ordered pairs. The Common Core State Standard, Geometry, Congruence 2 (G-CO.2), requires students to describe transformations as functions that take points in the plane as inputs and give other points as outputs. The connection to ordered pairs explored in this Common Core standard can illuminate transformations on functions. Tying the teaching approach to the Common Core Standard for Geometry and Congruence will help students understand why functions behave as they do. This article provides examples where transformations were performed on general functions, y=f(x). The method described can help students understand transformations on polynomials, trigonometric functions, logarithmic functions, exponential functions, or any other type of function. It can even be extended to nonfunctions, such as conic sections. (ERIC).
Anmerkungen	National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10