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