1. Warm Up Chapter 12.3 Friday, November 16, 2018
The Tangent Line Problem
1.0 Students demonstrate knowledge of both the formal definition and the graphical interpretation of limit of values of functions. This knowledge includes one-sided limits, infinite limits, and limits at infinity. Students know the definition of convergence and divergence of a function as the domain variable approaches either a number or infinity:
Warm Up
Friday, November 16, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

2. The Limit Definition of the Derivative
Chapter 2.1
The Limit Definition of the Derivative
4.0 Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability:
4.1 Students demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.
Friday, November 16, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

3. The Limit Definition of the Derivative
Chapter 2.1
The Limit Definition of the Derivative
4.0 Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability:
4.1 Students demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.
Friday, November 16, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

4. All mean the same concept.
Chapter 2.1
The Limit Definition of the Derivative
4.0 Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability:
4.1 Students demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.
All mean the same concept.
Friday, November 16, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

5. When x=3, the slope of f(x) is 6.
Chapter 2.1
The Limit Definition of the Derivative
4.0 Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability:
4.1 Students demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.
When x=3, the slope of f(x) is 6.
“slope machine”
Friday, November 16, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

6. The slope of f(x) will always be 5 regardless of the x value.
Chapter 2.1
The Limit Definition of the Derivative
4.0 Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability:
4.1 Students demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.
“slope machine”
The slope of f(x) will always be 5 regardless of the x value.
When x=-1, the slope of f(x) is 5.
Friday, November 16, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

7. When x=9, the slope of f(x) is 1/3.
Chapter 2.1
The Limit Definition of the Derivative
4.0 Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability:
4.1 Students demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.
When x=9, the slope of f(x) is 1/3.
Friday, November 16, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

8. The Limit Definition of the Derivative
Chapter 2.1
The Limit Definition of the Derivative
4.0 Students demonstrate an understanding of the formal definition of the derivative of a function at a point and the notion of differentiability:
4.1 Students demonstrate an understanding of the derivative of a function as the slope of the tangent line to the graph of the function.
Friday, November 16, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals

9. Practice: Pg. 833 #1,3 9-19 odd Chapter 12.3
The Tangent Line Problem
1.0 Students demonstrate knowledge of both the formal definition and the graphical interpretation of limit of values of functions. This knowledge includes one-sided limits, infinite limits, and limits at infinity. Students know the definition of convergence and divergence of a function as the domain variable approaches either a number or infinity:
On assignments, I expect the problems to be copied and sufficient work to be shown. When graphs are given, I expect a quick sketch to be drawn as reference. The goal is for you to be able to look at your assignments and relearn how to solve problems. Limit notation will be scrutinized with great attention.
Practice:  Pg. 833 #1, odd
Friday, November 16, 2018
ESLR -Tracy High Graduates will be Independent Learners Who Set realistic and challenging goals