teaching
with technology
Ruth Adkins 10.29.09
9th Grade
A.7 The student will investigate and analyze function (linear and quadratic) families and theircharacteristics both algebraically and graphically, includinga) determining whether a relation is a functione) finding the values of a function for elements in its domain
(Mathematics Standards of Learning for Virginia Public Schools – February 2009)
Algebra I (9th grade)
Functions
Concept map •With a partner, brainstorm what you (as a 9th grader) already know about functions
•As a class, we will create a concept map
Function
what is a
the function machine
10th Grade
AII.7 The student will investigate and analyze functions algebraically and graphically. Key conceptsincludeh) composition of multiple functions
(Mathematics Standards of Learning for Virginia Public Schools – February 2009)
Algebra II (10th grade)
Composite Function
what is a
•Definition
•Examples
•Video example
11th Grade
Math Analysis (11th grade)
MA.2 The student will apply compositions of functions and inverses of functions to real-worldsituations. Analytical methods and graphing utilities will be used to investigate and verify thedomain and range of resulting functions.
(Mathematics Standards of Learning for Virginia Public Schools – February 2009)
Composite Functions
applications of
Use your graphing calculator to help you work the example.
12th Grade
AP Calculus (12th grade)
APC.9 The student will apply formulas to find derivatives. This will includeb) derivations of sums, products, quotients, inverses, and composites (chain rule) of elementary functions
(Mathematics Standards of Learning for Virginia Public Schools –2001)
Chain Rule
Composite Function
derivative of a
video tutorial
(f o g)’ = f’(g(x))g’(x)
1. How was technology used in these lessons?
Reflection
2. Was it effective?
3. Would this keep students engaged in learning?
Universal Design for Learning (UDL)
Brain Networks and Learning Types
•Recognition •Strategic •Affective
Resources
• Math Movies
• Virtual Math Manipulatives
• Web Quests
Other Technologies in Classrooms
•Document camera•Interwrite Tablet•Smartboards
21st century students
Sources:
Virginia Standards of Learning, 2001, 2009
National Library of Virtual Manipulatives
Tulyn.com, math tutorials
Calculus-help.com
Universal Design for Learning