03/24/2015

Calculus

Definite Integration:  Video,   Khan

Integration with u substitution:  Video


Geometry

Central Angles and Inscribed Angles:  Video

Examples:  Video



Algebra II

Manipulate expressions with complex numbers


Review:
Manipulate radical expressions (those with square roots, for example)

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

03/17/2015

Calculus

Ch 3  Applications of Differentiation

(in progress)
Page 249 (15-40) Check Odds


Geometry

Understand Special Right Triangles

(in progress)





Algebra II


Manipulate radical expressions (those with square roots, for example)

Intro problem.

TI Nspire graphing, creating a table, and modifying the x values used in table in order to match those in problem.

Problem

Page 360  Deconstructing square roots...

Work through examples 1-3

Work 10-52 page 364
HW Workbook p 157 (1-6)



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

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
---------------------------------
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
---------------------------------

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)

03/13/2015

Calculus

Ch 3  Applications of Differentiation

page 160 - 164 Examples 1 - 4

Concepts:  Extrema, (relative) Maxima and Minima, Critical Numbers

Notice the slopes of the tangent lines (derivative values) of the functions are opposite in sign on each side of a critical number...

HW page 165( 1-15 ODD, 25, 56)


Looking ahead Anti-derivative and indefinite Integrals:  Video


Geometry

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

Perimeter and Area of Rectangles -- Notes beginning at page p.296
Work and check p.300 #32

Areas of Triangles, Parallelograms
and Trapezoids -- Notes beginning at p.303


Work and check p. 308 (6-8; 10-25; 31, 35, 39, 46, 47, 53)




Algebra II

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

Yesterday we looked at Positive & Negative Correlation...  even No Correlation.
Today we are going to assign a value to how well our line of best fit matches the data in our scatter plots.  This value is known as a correlation coefficient.

What exactly is a Correlation Coefficient?
How to find the correlation Coefficient using the TI Nspire:  Video

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


HW Workbook page page 147-`148  (1-22)

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

03/12/2015

Calculus

Related Rates:  Video 1, Video 2, Video 3

Continued working misc. problems from page 149 ( 5-29 ODD)

AGAIN (if you haven't already) watch:
Video:  Relative Maxima and Minima

problems p. 151 #33, #35




Geometry

Warm Up Problem  (Finding Midpoints and Distance of Line Segment)

Work Selected problems from smartboard

Midpoint Formula:  Video

Distance Formula:  Video

Standard Form of a Circle; Translating on coordinate plane.
Graphing a Circle on a TI Nspire calculator:  Video

HW Page 615 (17-35 ; 41-45)



Algebra II


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

Finish Scatter Plot handout from yesterday.

Scatter Plot Handout

What is a Scatter Plot:  Video

(Positive, Negative, and No Correlation)

Scatter Plots on the TI Nspire Calculator:  Video

Line of Best Fit (from Table):  Video

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

03/11/2015

Calculus

Related Rates:  Video 1, Video 2, Video 3

Worked misc. problems from page 149 ( 5-29 ODD)

Tonight:
Video:  Relative Maxima and Minima

problems p. 151 #33, #35




Geometry

Warm Up Problem  (graphical Method of Finding Intersection of Two Lines)

Quiz

Midpoint Formula:  Video

Distance Formula:  Video

p.343 (9,10,11) p.345 (39)


Standard Form of a Circle; Translating on coordinate plane.
Graphing a Circle on a TI Nspire calculator:  Video



Algebra II

Review:  Solving Systems of Equations using TI Nspire:  Video


Quiz

What is a Scatter Plot:  Video

(Positive, Negative, and No Correlation)

Scatter Plots on the TI Nspire Calculator:  Video

Line of Best Fit (from Table):  Video

Work Scatter Plot Handout

03/03/2015

Calculus

Video:  Implicit Differentiation

HW Text:  page 142 (1-21 ODD)




Geometry


Video:  SSS Triangle Congruence

Video:  Other Types Triangle Congruence

Classwork : Page 231( 10-19; 27-29)  Page 240 (10, 13, 16)

Homework:  Page


Algebra II

Using Vertex and Standard Quadratic Form

Page 199 (8-35)  Work and Check

Video: Converting from Vertex Form to Standard Form

Video:  Using Vertex and Standard Form to find Vertex

03/02/2015

Calculus

http://tutorial.math.lamar.edu/Classes/CalcI/DerivativeIntro.aspx

Review Chain Rule, Product and Quotient Rule, etc.

Review Problems Video 01:
https://www.youtube.com/watch?v=cXE-Zby_O_I

Review Problems Video 02:
https://www.youtube.com/watch?v=_FjgZlZN5Ro


Derivative Cheat-Sheet:
http://tutorial.math.lamar.edu/pdf/Calculus_Cheat_Sheet_Derivatives.pdf

Review Problems Video 03:
https://www.youtube.com/watch?v=ZvCWt4BjbyI

HW Text:  page 133 (ODD ONLY 7-15; 33-39; 47-57)
plus work out problems hardest for you from Video #1



Geometry

CH 3 Review page 202 (5 - 35)

Exterior Angles of a Polygon:
https://www.youtube.com/watch?v=mIRFxpDCjn4

Interior Angles of a Polygon:
https://www.youtube.com/watch?v=M5Nc6gK8lgg

HW page 205 ( 4- 29 )  Turn in with Quiz Tuesday for 10 bonus points



Algebra II

Review: Systems of Equations, Vertical Line Test p. 148 (72, 73, 75, 77)

Solving Systems of Equations on the TI NSpire:
https://www.youtube.com/watch?v=u4eAzOgtE4Y



3.3 Solving systems of Inequalities

Video: Graphing Inequalities

p. 150/151 Examples 1 & 2

page 153 (11 - 30, 46 - 54) solve by graphing and sketch graph
page 155 (59 - 61)


Review of Absolute Value Equations:
https://www.youtube.com/watch?v=VSRVht9d-i8

Workbook:  Use calculator- page 63 (1, 18, 28) page 67 (11-16)