Experiencing Mathematics Activities to Engage the High School Student

by Breunlin, James R.; Kasper, Timothy A.; Kolet, Michelle; Letzel, Kendra; Letzel, Thomas

• ISBN13: 9781578864980
• ISBN10: 1578864984
• Edition: Student
• Format: Paperback
• Copyright: 2006-09-28
• Publisher: R&L Education

Summary

Experiencing Mathematics: Activities to Engage the High School Student is the result of the collaborative effort of nine Adolescent Young Adult (AYA) National Board Certified Teachers (NBCTs) in mathematics. This student edition is a compilation of successful activities that prompt high school students to explore, conjecture, and reflect on their mathematical adventures'¬ ;thus "experience" mathematics. The relevant nature of the activities will motivate students to pursue their investigations with vigor and take the intellectual risk necessary to construct knowledge and improve problem-solving competence. This book provides student activities grouped in algebra, geometry, and algebra 2 sections that parallel the traditional sequencing in major texts. Through activity design, students are lead through an inductive inquiry in which they conjecture, formulate, and test ideas and concepts. This inductive student-centered approach to learning will not only excite students but also increase student effort.

Table of Contents

Preface	v
Introduction	vii
Activities
Algebra 1
Properties of Real Number	3	(6)
Combining Like Terms	9	(10)
Solving Linear Equations	19	(2)
Graphing Linear Functions	21	(6)
Writing Linear Equations	27	(4)
Inequalities	31	(6)
Systems of Linear Equations	37	(4)
Exponents	41	(6)
Quadratics	47	(2)
Factoring Polynomials	49	(6)
Radicals	55	(4)
Geometry
Angles Classification and Measure	59	(8)
Reasoning and Proof	67	(8)
Parallel Lines	75	(4)
Congruent Polygons	79	(4)
Triangle Segments	83	(12)
Quadrilaterals	95	(4)
Transformations	99	(6)
Similarity	105	(2)
Similarity	107	(3)
Right Triangle Trigonometry	110	(5)
Circles	115	(4)
Areas of Polygons/Surface area/Volume	119	(8)
Surface Area of a Sphere	127	(6)
Algebra 2
Linear Functions	133	(4)
Piecewise Functions	137	(6)
Matrices and Determinants	143	(8)
Quadratic Functions	151	(2)
Polynomials and Polynomial Functions	153	(8)
Powers, and Radicals	161	(4)
Exponential and Logarithmic Functions	165	(4)
Conic Sections	169	(6)
Sequences and Series	175	(5)
Probability and Statistics	180	(3)
References	183