Teaching with technology Ruth Adkins 10.29.09. 9 th Grade.

Slides:

Advertisements

Similar presentations

5.3 Inverse Function.

Advertisements

One-to-one and Inverse Functions

3.2 Inverse Functions and Logarithms 3.3 Derivatives of Logarithmic and Exponential functions.

Spring 2012 Student Performance Analysis Algebra I Standards of Learning Presentation may be paused and resumed using the arrow keys or the mouse. 1 Revised.

1.6 Inverse Functions Students will find inverse functions informally and verify that two functions are inverse functions of each other. Students will.

Standards Based Grading in an AP Calculus AB Classroom

Spring 2014 Student Performance Analysis Algebra I Standards of Learning Presentation may be paused and resumed using the arrow keys or the mouse.

Objective Video Example by Mrs. G Give It a Try Lesson 7.4  Identify and graph parent functions of the following families of functions: Linear Absolute.

Name That Graph…. Parent Graphs or Base Graphs Linear Quadratic Absolute Value Square Root Cubic Exponential Math

Spring 2013 Student Performance Analysis Algebra I Standards of Learning Presentation may be paused and resumed using the arrow keys or the mouse.

AII.7 - The student will investigate and analyze functions algebraically and graphically. Key concepts include a) domain and range, including limited and.

2009 Mathematics Standards of Learning Training Institutes Algebra I Virginia Department of Education.

Graph 8 a. Graph b. Domain _________ c. Range __________

Chapter 1 – Functions and Their Graphs

2009 Mathematics Standards of Learning Training Institutes Algebra II Virginia Department of Education.

9/9/2015 Math SL1 - Santowski 1 9/9/2015 Math SL1 - Santowski 1 T The Inverse Function.

F UNCTIONS AND L OGARITHMS Section 1.5. First, some basic review… What does the Vertical Line Test tell us? Whether or not the graph of a relation is.

WELCOME TO OPEN HOUSE. Mrs. Boston Pre-Calculus ROOM X-3.

Using a Graphing Calculator in the Classroom. The graphing calculator is a wonderful tool for teaching concepts. It also can become a crutch. GOOD Examining.

Chapter 1. Functions and Models

Unit 4: Functions, Relations, and Transformations

MTH108 Business Math I Lecture 9.

AP Calculus BC September 9, 2015 Day 7 – The Chain Rule and Implicit Differentiation.

Math 1304 Calculus I 3.1 – Rules for the Derivative.

5.4 Fundamental Theorem of Calculus Quick Review.

Math SOL Test Changes School Board Work Session March 8, 2012.

AP CALCULUS 1009 : Product and Quotient Rules. PRODUCT RULE FOR DERIVATIVES Product Rule: (In Words) ________________________________________________.

1 §3.2 Some Differentiation Formulas The student will learn about derivatives of constants, the product rule,notation, of constants, powers,of constants,

The Further Mathematics network

The inverse function of an Exponential functions is a log function. The inverse function of an Exponential functions is a log function. Domain: Range:

Algebra II Standards of Learning Presentation may be paused and resumed using the arrow keys or the mouse. Spring 2014 Student Performance Analysis Presentation.

Spring 2014 Student Performance Analysis Algebra I Standards of Learning Presentation may be paused and resumed using the arrow keys or the mouse.

September 27, 2012 Inverse of Functions Warm-up: f(x) = x 2 – 1 and Find the following compositions, then state the domain 1. (f o g)(x)2. (g o f)(x) CW.

Algebra I Unit Development A Function-Based Approach.

Algebra 1cc Functions 3 Determine the domain and range of a function from its graph Recall: the domain of a function is its independent or x values. The.

MAT 1221 Survey of Calculus Section 2.4 The Product and Quotient Rules

Math Review and Lessons in Calculus

ALGEBRA 2; AGENDA; DAY 47; MON. NOV. 02, 2015 (2nd 9-Week)

1.4 Building Functions from Functions

Relations, Functions, and Linear Equations Sections 2.1, 2.2 Modern Algebra II.

Algebra II Standards of Learning Presentation may be paused and resumed using the arrow keys or the mouse. Spring 2014 Student Performance Analysis Presentation.

One-to-one and Inverse Functions 2015/16 Digital Lesson.

What is meant by operations in mathematics? or Math

This is Part 2 of 3 (2 hour training session). BIG IDEA 1 - Analyze and represent linear functions, and solve linear equations and systems of linear equations.

Equation of the Line Unit Page y = m x+ b I. Objectives of the Unit Objectives of the Unit Objectives of the Unit II. Concepts Concepts III. Terms used.

Algebra II Standards of Learning Presentation may be paused and resumed using the arrow keys or the mouse. Spring 2014 Student Performance Analysis Presentation.

Spring Student Performance Analysis Algebra I Standards of Learning Presentation may be paused and resumed using the arrow keys or the mouse.

Inverse Functions Pages in Text Any Relevant Graphics or Videos.

5.3 INVERSE FUNCTIONS OBJECTIVES VERIFY ONE FUNCTION IS THE INVERSE OF ANOTHER DETERMINE WHETHER A FUNCTION HAS AN INVERSE FIND THE DERIVATIVE OF AN INVERSE.

Algebra I Exponential Functions: The Marvel of Medicine Irina Keith.

Slide 5- 1 Quick Review. Slide 5- 2 Quick Review Solutions.

HW: Maintenance Sheet #21 (19-21) comprehensive Test 7 Friday

Inquiry: Projectile motion can be modeled with a quadratic equation

Quadratic and Square Root Inverse Relationships with Restrictions

a. Write a function, f(x), to represent the 5 bonus points.

Function Characteristics - Domain and Range

Algebra 150 Unit: Functions Lesson Plan #10: Using TI-83 Calculator to Calculate Values Objective SWBT use a TI-83 calculator to calculate values in Linear.

Lesson 1.6 Inverse Functions

Sum, Difference, Product, Quotient, Composition and Inverse

3.5 Operations on Functions

Algebra 150 Unit: Functions Lesson Plan #9: Function Tables and Graphing Objective SWBT plot a function from a function table.

Ch 1.6: Inverse of Functions and Relations

Function Operations What is meant by operations in mathematics? or

One-to-one and Inverse Functions

Relations and Functions

One-to-one and Inverse Functions

One-to-one and Inverse Functions

Combinations of Functions

Do Now: Given f(x) = 2x + 8 and g(x) = 3x2 – 1 find the following.

Presentation transcript:

teaching with technology Ruth Adkins

9 th 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) Algebra I (9 th grade)

Functions Concept map With a partner, brainstorm what you (as a 9 th grader) already know about functions As a class, we will create a concept map

Function what is a the function machine

10 th 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) Algebra II (10 th grade)

Composite Function what is a Definition Examples Video example

11 th Grade

Math Analysis (11 th 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)

Composite Functions applications of Use your graphing calculator to help you work the example.

12 th Grade

AP Calculus (12 th 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

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

21 st 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