Transcript Slide 1

teaching
with technology
Ruth Adkins
10.29.09
th
9
Grade
Algebra I (9th grade)
A.7 The student will investigate and analyze function
(linear and quadratic) families and their
characteristics both algebraically and graphically,
including
a) determining whether a relation is a function
e) finding the values of a function for elements in its
domain
(Mathematics Standards of Learning for Virginia Public Schools – February 2009)
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
Functions
what is a
Function
the function machine
th
10
Grade
Algebra II (10th grade)
AII.7 The student will investigate and analyze functions
algebraically and graphically. Key concepts
include
h) composition of multiple functions
(Mathematics Standards of Learning for Virginia Public Schools – February 2009)
what is a
Composite Function
•Definition
•Examples
•Video example
th
11
Grade
Math Analysis (11th grade)
MA.2 The student will apply compositions of functions
and inverses of functions to real-world
situations. Analytical methods and graphing utilities
will be used to investigate and verify the
domain and range of resulting functions.
(Mathematics Standards of Learning for Virginia Public Schools – February 2009)
applications of
Composite Functions
Use your graphing calculator to help you work
the example.
th
12
Grade
AP Calculus (12th grade)
APC.9 The student will apply formulas to find
derivatives. This will include
b) derivations of sums, products, quotients, inverses,
and composites (chain rule) of elementary functions
(Mathematics Standards of Learning for Virginia Public Schools –2001)
Chain Rule
derivative of a
Composite Function
video tutorial
(f o g)’ = f’(g(x))g’(x)
Reflection
1. How was technology used
in these lessons?
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