teaching with technology ruth adkins 10.29.09. 9 th grade
TRANSCRIPT
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teaching
with technology
Ruth Adkins 10.29.09
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9th Grade
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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)
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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
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Function
what is a
the function machine
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10th Grade
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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)
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Composite Function
what is a
•Definition
•Examples
•Video example
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11th Grade
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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)
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Composite Functions
applications of
Use your graphing calculator to help you work the example.
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12th Grade
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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)
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Chain Rule
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Composite Function
derivative of a
video tutorial
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(f o g)’ = f’(g(x))g’(x)
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1. How was technology used in these lessons?
Reflection
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2. Was it effective?
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3. Would this keep students engaged in learning?
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Universal Design for Learning (UDL)
Brain Networks and Learning Types
•Recognition •Strategic •Affective
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Resources
• Math Movies
• Virtual Math Manipulatives
• Web Quests
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Other Technologies in Classrooms
•Document camera•Interwrite Tablet•Smartboards
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21st century students
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Sources:
Virginia Standards of Learning, 2001, 2009
National Library of Virtual Manipulatives
Tulyn.com, math tutorials
Calculus-help.com
Universal Design for Learning