Calculus
Analyzing Graphs of Functions p.202
Domain, Range, Asymptotes, Relative Extrema, Concavity, Inflection Points, etc
Example 2 p.204
Example 5 p. 206
Example 6 p. 207
Geometry
Find Area and Surface Area of various Geometric shapes and solids
Focus: Rectangular and Triangular Prisms
Friday, February 26, 2016
Thursday, February 25, 2016
Feb 26, 2016
Wednesday, February 24, 2016
Feb 25, 2016
Calculus
check problems p.181 (3-10, 41-48)
First Derivative Test : Video Link
p.184 188 Concavity, points of inflection,
p.188 Second Derivative Test
Video
Classwork/HW p.189(1-10)
Sketching 2nd Derivative Graphs Method One: Video Link
Sketching 2nd Derivative Graphs Method Two: Video Link
Geometry
Continued... Secants, Tangents, Chords... Finding lengths.
Refer to notes from yesterday
p.605 (6-40)
check problems p.181 (3-10, 41-48)
First Derivative Test : Video Link
p.184 188 Concavity, points of inflection,
p.188 Second Derivative Test
Video
Classwork/HW p.189(1-10)
Sketching 2nd Derivative Graphs Method One: Video Link
Sketching 2nd Derivative Graphs Method Two: Video Link
Geometry
Continued... Secants, Tangents, Chords... Finding lengths.
Refer to notes from yesterday
p.605 (6-40)
Tuesday, February 23, 2016
Feb 24, 2016
Calculus
Check selected problems from p.172
First Derivative Test p. 176
examples 2-3 p.177/178
p.181 (3-10, 41-48)
Geometry
Secants, Tangent and Chords - Angles and Arc Length
Take notes from the following:
Handout
Look at examples p.591-592
Work problems p.593/596 (5-55)
Check.
Check selected problems from p.172
First Derivative Test p. 176
examples 2-3 p.177/178
p.181 (3-10, 41-48)
Geometry
Secants, Tangent and Chords - Angles and Arc Length
Take notes from the following:
Handout
Look at examples p.591-592
Work problems p.593/596 (5-55)
Check.
Monday, February 22, 2016
Feb 23, 2016
Calculus
Review problems from page 165.
Applied problem: p.167 #56
Rolle's THeorem p. 168
The Mean Value Theorem p.170
Note: illustrate average rate of change as it pertains to vehicles and common experience (cars, etc)
Example 4 p. 171 Instantaneous Rate of Change
Classwork p.172 (2-24 even)
HW: watch the videos below.
Geometry
Continue Inscribed Angles: p.585 (11-47)
Application of Geometry - Eratosthenes Calculates the Circumference of the Earth.
Review problems from page 165.
Applied problem: p.167 #56
Rolle's THeorem p. 168
The Mean Value Theorem p.170
Note: illustrate average rate of change as it pertains to vehicles and common experience (cars, etc)
Example 4 p. 171 Instantaneous Rate of Change
Classwork p.172 (2-24 even)
HW: watch the videos below.
Geometry
Continue Inscribed Angles: p.585 (11-47)
Application of Geometry - Eratosthenes Calculates the Circumference of the Earth.
Feb 22, 2016
Calculus
Last Day - problems from pages 150-152
p. 165 (1-20)
Geometry
CH 9 p. 564 Circles - Basic definitions and relationships.
Angle and Arc Handouts today or tomorrow
Central Angles and Arcs: Notes and problems from video
Inscribed Angles and Arcs: Notes and problems from video
Classwork p.570 (11-47)
Last Day - problems from pages 150-152
p. 165 (1-20)
Geometry
CH 9 p. 564 Circles - Basic definitions and relationships.
Angle and Arc Handouts today or tomorrow
Central Angles and Arcs: Notes and problems from video
Inscribed Angles and Arcs: Notes and problems from video
Classwork p.570 (11-47)
Friday, February 19, 2016
Feb 18, 2016
Calculus
Continue working problems on p 150-151
Geometry
8.5 Indirect Measurement through Additional Methods of Similarity p. 533
Notes p. 535, 536 Altitude and Median Proportions
Work and Check p. 536-538 ( 1 -25)
Review of Proofs : Proof of yesterday's Theorem.
Take notes during video - turn in at beginning of next class.
Continue working problems on p 150-151
Geometry
8.5 Indirect Measurement through Additional Methods of Similarity p. 533
Notes p. 535, 536 Altitude and Median Proportions
Work and Check p. 536-538 ( 1 -25)
Review of Proofs : Proof of yesterday's Theorem.
Take notes during video - turn in at beginning of next class.
Wednesday, February 17, 2016
Feb 17, 2016
Calculus
Related Rates problems p. 150 - 151
Geometry
GSRT.4 Side-Splitting Theorem p. 525
Note p. 525/527
Examples p.526/527
Work 1-29 p. 528-530
HW Notes from following video for tomorrow's lesson
Related Rates problems p. 150 - 151
Geometry
GSRT.4 Side-Splitting Theorem p. 525
Note p. 525/527
Examples p.526/527
Work 1-29 p. 528-530
HW Notes from following video for tomorrow's lesson
Feb 17, 2016
Due to snow days, we are now at Feb 12th's lesson.
Calculus
Related Rate Problems - Implicit Differentiation.
Geometry
G.SRT.1,2,3 CH8.3 Triangle SImilarity p. 517
Notes: Triangle Similarity AA Theorem p.517, SSS, SAS Similarity Theorems - Discuss.
Classwork: p. 520 (1- 27)
Calculus
Related Rate Problems - Implicit Differentiation.
Geometry
G.SRT.1,2,3 CH8.3 Triangle SImilarity p. 517
Notes: Triangle Similarity AA Theorem p.517, SSS, SAS Similarity Theorems - Discuss.
Classwork: p. 520 (1- 27)
Thursday, February 11, 2016
Feb 12, 2016
Calculus
Related Rate Problems - Implicit Differentiation.
Geometry
G.SRT.1,2,3 CH8.3 Triangle SImilarity p. 517
Notes: Triangle Similarity AA Theorem p.517, SSS, SAS Similarity Theorems - Discuss.
Classwork: p. 520 (1- 27)
Related Rate Problems - Implicit Differentiation.
Geometry
G.SRT.1,2,3 CH8.3 Triangle SImilarity p. 517
Notes: Triangle Similarity AA Theorem p.517, SSS, SAS Similarity Theorems - Discuss.
Classwork: p. 520 (1- 27)
Feb 11, 2016
Calculus
Continue working select Related Rate problems p. 149-151
Geometry
Continue with yesterday's assignment - Constructions involving Compass and Straightedge
Finish assignment and additional worksheet.
Note: Will begin with worksheet tomorrow and new assignment. Not enough time to do worksheet during abbreviated day.
Robotics Club
Continue working select Related Rate problems p. 149-151
Geometry
Continue with yesterday's assignment - Constructions involving Compass and Straightedge
Finish assignment and additional worksheet.
Note: Will begin with worksheet tomorrow and new assignment. Not enough time to do worksheet during abbreviated day.
Robotics Club
Monday, February 8, 2016
Feb 08, 2016
Calculus
Micro-Quiz
Implicit and Explicit Functions (or Forms)
Guidlines p.138
Ex 3/4 p. 139
Ex 6/7/8 p.139-141
CLasswork/HW p.142 (1-10; 21-25; 31,32)
HW Related Rates Videos
Geometry
G.CO.12
4.7 Compass and Straightedge Constructions p. 261
Copy a line segment
Bisect a line segment
Copy an Angle
Bisect and Angle
Draw a line thru a point perpendicular to another line
Draw a line thru a point perpendicular to another line
Dat One and Two: Classwork p.264 (5 - 27, 30, 31) p. 288 (24-27) p.831 Lesson 4.7 (1-9)
Micro-Quiz
Implicit and Explicit Functions (or Forms)
Guidlines p.138
Ex 3/4 p. 139
Ex 6/7/8 p.139-141
CLasswork/HW p.142 (1-10; 21-25; 31,32)
HW Related Rates Videos
Geometry
G.CO.12
4.7 Compass and Straightedge Constructions p. 261
Copy a line segment
Bisect a line segment
Copy an Angle
Bisect and Angle
Draw a line thru a point perpendicular to another line
Draw a line thru a point perpendicular to another line
Thursday, February 4, 2016
Feb 05, 2016
Calculus
p.135 (91-95)
Watch the video below before working problem 91:
HW - watch videos and take notes. Quiz over it Monday
or
and
Geometry
Take up Take-Home Test
Notes: All Theorems p.247-250. Discuss. Terminology... Rhombus, Kite, etc.
Notes: Theorems p. 256 Discuss
Classwork p. 257-260 (5-56)
Monday... Constructions... Ruler and Compass
p.135 (91-95)
Watch the video below before working problem 91:
HW - watch videos and take notes. Quiz over it Monday
or
and
Geometry
Take up Take-Home Test
Notes: All Theorems p.247-250. Discuss. Terminology... Rhombus, Kite, etc.
Notes: Theorems p. 256 Discuss
Classwork p. 257-260 (5-56)
Monday... Constructions... Ruler and Compass
Feb 04, 2016
Calculus
Chain Rule p.127
Examples 1 - 12 p. 127-132
HW p.133 (7-12, 23-25, 41, 43)
Geometry
4.5 p.243 Parallelogram Properties
Work examples p. 243/244
Work 1-60 p. 245/249
Chain Rule p.127
Examples 1 - 12 p. 127-132
HW p.133 (7-12, 23-25, 41, 43)
Geometry
4.5 p.243 Parallelogram Properties
Work examples p. 243/244
Work 1-60 p. 245/249
Wednesday, February 3, 2016
Feb 03, 2016
Calculus
Work more problems involving the Product and Quotient Rules... derivatives of other Trig functions
p.118-125
HW copy examples from videos... inc. Chain Rule (last video)
Note: there is a computational error (mental error) towards the end of the video where he adds -4 and -4 and gets -16. He should have gotten -8.
Classwork/HW p.124 (13-16, 25-30) Watch chain rule video... be ready for Chain Rule micro quiz tomorrow
Geometry
4.4 Using Triangle Congruence
p.235- 238
Discuss Theorems pages 237 and 238,
Examples 1, 2, and 3.
Work 1-36 p.239-242 and check
Take Home Test Due Friday
Work more problems involving the Product and Quotient Rules... derivatives of other Trig functions
p.118-125
HW copy examples from videos... inc. Chain Rule (last video)
Note: there is a computational error (mental error) towards the end of the video where he adds -4 and -4 and gets -16. He should have gotten -8.
Classwork/HW p.124 (13-16, 25-30) Watch chain rule video... be ready for Chain Rule micro quiz tomorrow
Geometry
4.4 Using Triangle Congruence
p.235- 238
Discuss Theorems pages 237 and 238,
Examples 1, 2, and 3.
Work 1-36 p.239-242 and check
Take Home Test Due Friday
Tuesday, February 2, 2016
Feb 02 2016
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
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
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
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