Monday, March 16, 2015

03/16/2015

Calculus

Ch 3  Applications of Differentiation

HW page 165(56)

Ch 4 Integration

Anti-derivative and indefinite Integrals:  Video

Page 249 (15-40) Check Odds


Geometry

Understand and solve problems involving perimeter and area using relationships in geometric figures

Friday:
Perimeter and Area of Rectangles --  p.296

Areas of Triangles, Parallelograms
and Trapezoids -- p.303

Deriving the Area of a Circle :  Video 01,  Video 02

The Pi Video ; Math Bites

Circumference and Area -- Notes begin page 314

page 318 (8-27, 33,34,35)






Algebra II

Continued:
Recognize and use different representations of functions (equations, graphs, tabular data) and use them to solve real-world problems.

Friday:
What exactly is a Correlation Coefficient?
How to find the correlation Coefficient using the TI Nspire:  Video
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Sometimes the best model for data isn't a straight line.  Sometimes it is a curve.
Here are some examples of different types of curves or functions:  Examples
How to use the TI Nspire to find the curve of best fit:  Video

Example:  Flow Rates through a burette (connection- Chemistry)
Link:  http://mvhs.shodor.org/coresims/flow/index.php
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Shortened class due to PI day activities 4th block

EOC Practice Problem
(It is a negative correlation.  So it has to be A or B.  Since the plot points are spread out quite a bit from the regression line of best fit, it could hardly be the near-perfect -0.99 answer.  Therefore it would most likely be closer to -0.65.  We enter the tabular data in the calculators and verify that "r" is indeed -0.65.

Problems two was also on the board.  we did not complete it before being called to the gym for PI Day.

Problem.  

Graph of linear and quadratic regression

The quadratic curve fits the data much better than the linear regression.  How much better?  The correlation coefficient for the linear regression was in the positive 0.40's    The correlation coefficient for the quadratic regression was in the positive 0.90's


(Review:  Solving Systems of Equations using TI Nspire:  Video)