Calculus
Page 110 Example 8 Derivatives of sin and cos
Page 111 Example 9
Describe the motion of the billiard ball in the figure. What does it say concerning its position versus time? Its acceleration versus time? Its position?
Page 112 Figure 2.20
What is happening as the second point of the secant line moves closer to the first with respect to the line?
Work through and discuss Example 10
Product Rule and Quotient Rule
Classwork/HW p.113 (39-52)
HW Notes from the following videos:
Geometry
Continue working more proofs involving Triangle Congruence.
Proving Triangles Congruent
Notes:
Take home test Due back Thursday
Tuesday, February 2, 2016
Monday, February 1, 2016
Feb 01. 2016
Calculus
Power Rule, Constant Multiple Rule, Derivative of Sin and Cos.
Discuss d/dx notations versus f ' (x) notation
Derivitaves are more than yet another operation, like raising to a power or taking a square root, they produce slope functions and functions that have meaning on their own... such as the first derivative of the gravity acceleration function being a velocity function... and the derivative of the velocity function being the position function.
Aside: Why Gravity is not a force:
Gravity and velocity of stellar objects could prove to be life-changing for us humans walking around on Earth.
Dont' think it could happen...? Small impacts happen all the time... with dramatic effect.
Classwork p.113 (3-15)
Geometry
2 Column Proofs involving Triangle Congruency
Examples
Handout - 8 proofs to be worked and turned in at end of class.
Handout PDF - LINK
Power Rule, Constant Multiple Rule, Derivative of Sin and Cos.
Discuss d/dx notations versus f ' (x) notation
Derivitaves are more than yet another operation, like raising to a power or taking a square root, they produce slope functions and functions that have meaning on their own... such as the first derivative of the gravity acceleration function being a velocity function... and the derivative of the velocity function being the position function.
Aside: Why Gravity is not a force:
Gravity and velocity of stellar objects could prove to be life-changing for us humans walking around on Earth.
Dont' think it could happen...? Small impacts happen all the time... with dramatic effect.
Classwork p.113 (3-15)
Geometry
2 Column Proofs involving Triangle Congruency
Examples
Handout - 8 proofs to be worked and turned in at end of class.
Handout PDF - LINK
Thursday, January 28, 2016
Jan 29, 2016
Calculus
Short Micro Quiz
Chapter 2 Differentiation
p.102 (11-21;25-28)
HW watch video below. Be prepared for a micro quiz over it next class
Geometry
Short Micro Quiz.
4.2 p. 217 Triangle Congruence
Notes from the following video
Work (6-12) p.221
Work (23-29) p.222
Work (40-44) p.224
Work (10-19; 25-34) p.232
Check for accuracy.
Short Micro Quiz
Chapter 2 Differentiation
p.102 (11-21;25-28)
HW watch video below. Be prepared for a micro quiz over it next class
Geometry
Short Micro Quiz.
4.2 p. 217 Triangle Congruence
Notes from the following video
Work (6-12) p.221
Work (23-29) p.222
Work (40-44) p.224
Work (10-19; 25-34) p.232
Check for accuracy.
Jan 28, 2016
Calculus
Applied Math Problem page 86/87 including 60, 63, 67.
Geometry
Using Coordinate Geometry to Analyse Polygons p. 190
Review how to find Slope from graph and equation.
Finding Slope using coordinates - Link
Classwork p.194 (16-32)
Enrichment:
Applied Math Problem page 86/87 including 60, 63, 67.
Geometry
Using Coordinate Geometry to Analyse Polygons p. 190
Review how to find Slope from graph and equation.
Finding Slope using coordinates - Link
Classwork p.194 (16-32)
Enrichment:
Wednesday, January 27, 2016
Jan 27, 2016
Snowmageddon is over... for now.
Calculus
Review One sided limits
Look at Infinite Limits p.80.
Vertical Asymptotes
Ex 1-4 p81-83
p.85 (5,11,23,33,35,37)
Geometry
Review Sum of Interior Angles of a Polygon; Sum of Exterior angles of a Polygon
Page 826 work and check Lesson 3.6 (bottom of page) [1-5]
CH 3.7 Midsegments of Trapezoids and Triangles
Def p.183/184
Discuss the general shape of the objects, that the Midsegment is parallel to the base(s) and Corresponding angles, etc create proportional (similar) objects nested one inside the other.
Work thru example 2 p. 185. Decide what the width of the top "base" of a Triangle is... and how this relates to the "averaging of the midsegment and the top and bottom base of a Trapezoid.
Work a few more problems from board them turn them loose with p. 186/187 (8; 10-18)
Notes p. 191-193, p.194 (134.15) Midpoint Formula, Slope Formula,
Pag
Calculus
Review One sided limits
Look at Infinite Limits p.80.
Vertical Asymptotes
Ex 1-4 p81-83
p.85 (5,11,23,33,35,37)
Geometry
Review Sum of Interior Angles of a Polygon; Sum of Exterior angles of a Polygon
Page 826 work and check Lesson 3.6 (bottom of page) [1-5]
CH 3.7 Midsegments of Trapezoids and Triangles
Def p.183/184
Discuss the general shape of the objects, that the Midsegment is parallel to the base(s) and Corresponding angles, etc create proportional (similar) objects nested one inside the other.
Work thru example 2 p. 185. Decide what the width of the top "base" of a Triangle is... and how this relates to the "averaging of the midsegment and the top and bottom base of a Trapezoid.
Work a few more problems from board them turn them loose with p. 186/187 (8; 10-18)
Notes p. 191-193, p.194 (134.15) Midpoint Formula, Slope Formula,
Pag
Tuesday, January 19, 2016
Jan 19, 2016
Calculus
How are One-Sided Limits used? Example - Charles's Law and Absolute Zero p. 72
COver Properties of Continuity p. 73
Example 7 p. 7 -- Testing for Cont. Go over parts a,b,c.
Quick review of Intermediate Value Theorem p.75
Classwork/HW p.77 (33-42, 55, 56, 61, 62)
Watch Video Composition of functions:
Short Quiz Next Class.
Geometry
Angles in Polygons 3.6 p.177
Find pattern for Sum of Interior Angles in a Plolygon (Hint: Think Triangles!!)
Find Sum of Exterior Angles of a Polygon
Classwork p.180 (4-41)
HW p.182 (42,43) Turn in next class for quiz grade.
How are One-Sided Limits used? Example - Charles's Law and Absolute Zero p. 72
COver Properties of Continuity p. 73
Example 7 p. 7 -- Testing for Cont. Go over parts a,b,c.
Quick review of Intermediate Value Theorem p.75
Classwork/HW p.77 (33-42, 55, 56, 61, 62)
Watch Video Composition of functions:
Short Quiz Next Class.
Geometry
Angles in Polygons 3.6 p.177
Find pattern for Sum of Interior Angles in a Plolygon (Hint: Think Triangles!!)
Find Sum of Exterior Angles of a Polygon
Classwork p.180 (4-41)
HW p.182 (42,43) Turn in next class for quiz grade.
Friday, January 15, 2016
Jan 15 2016
Calculus
Work problems from yesterday's HW
One- sided Limits and other notes from pages 70-75.
Classwork / HW p.76/77/79 (1-7; 25-29; 94)
Geometry
Triangle Sun Theorem p. 170
Copy steps and diagram from video below... our first example of a two-column proof.
CW/HW p. 173 (5-39)
Work problems from yesterday's HW
One- sided Limits and other notes from pages 70-75.
Classwork / HW p.76/77/79 (1-7; 25-29; 94)
Geometry
Triangle Sun Theorem p. 170
Copy steps and diagram from video below... our first example of a two-column proof.
CW/HW p. 173 (5-39)
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