PreCalculus
General Review
CH 5.5 p.376
Example 2: Using Double-Angle Formulas
Example 3: Using double angles to evaluate functions
P. 288 Graphs of Trig Functions
Amplitude, finding Period, phase shift, etc.
p. 305 # 49-56
p. 308 # 73 a) - e)
Bridge Math
W-VM 3
Use angle properties of supplementary and complementary angles to find unknown angle measures
Geometry
Finish Surface Area and Volume Review p.489 (1-24)
work and check
Monday, November 30, 2015
Tuesday, November 24, 2015
Monday Nov 23 2015
PreCalculus
Applied problems from Trig CH04
p.384 #115 a,b,c,d
(a coefficient of friction problem that I did not write down... unfortunately.)
p.337 #167
HW p. 337 #171
Bridge Math
W-VM 3
Solve problems involving parallel lines and transversals
Geometry
EOC Review
Work assorted area problems (composite shapes)
Work assorted Surface Area problems (composite 3D shapes)
Problems are pulled from the following souces:
Problems 1
Problems 2
Applied problems from Trig CH04
p.384 #115 a,b,c,d
(a coefficient of friction problem that I did not write down... unfortunately.)
p.337 #167
HW p. 337 #171
Bridge Math
W-VM 3
Solve problems involving parallel lines and transversals
Geometry
EOC Review
Work assorted area problems (composite shapes)
Work assorted Surface Area problems (composite 3D shapes)
Problems are pulled from the following souces:
Problems 1
Problems 2
Friday, November 20, 2015
Friday Nov 20 2015
PreCalculus
When would you use parametric equations? Well... YOU are made up of parametric equations... billions of them...
The TI Nspire can grap parametric equations... even 3D ones.
Use your Nspire to graph the helix in 3D.. and other assorted 3D functions.
Bridge Math
Work examples and problems on writing word problems as equations and solve them
Website: here
Geometry
Continue with volume and surface area of pyramids
Worksheet
Surface area and volume of spheres
Volume of Pyramids
S.A. of pyramids and cones
When would you use parametric equations? Well... YOU are made up of parametric equations... billions of them...
The TI Nspire can grap parametric equations... even 3D ones.
Use your Nspire to graph the helix in 3D.. and other assorted 3D functions.
Bridge Math
Work examples and problems on writing word problems as equations and solve them
Website: here
Geometry
Continue with volume and surface area of pyramids
Worksheet
Surface area and volume of spheres
Volume of Pyramids
S.A. of pyramids and cones
Thurs Nov 19 2015
PreCalculus
9.7 Polar Graphing p.682
Examples 1, 2... using symmetry to assist in sketching graph
Classwork/HW : p.689 (19-34)
Bridge Math
Solving Multi-step equations, continued
Geometry
EOC Review 7.3 Surface Area p.445
Classwork: p.449 (6-45)
9.7 Polar Graphing p.682
Examples 1, 2... using symmetry to assist in sketching graph
Classwork/HW : p.689 (19-34)
Bridge Math
Solving Multi-step equations, continued
Geometry
EOC Review 7.3 Surface Area p.445
Classwork: p.449 (6-45)
Wednesday, November 18, 2015
Wed Nov 18 2015
Precalculus
Micro Quiz (Parametric Equation; Remove parameter and graph...)
CH 9.6 Polar Coordinates p. 676
Examples p. 676 - 678
Watch highlights of types of polar graphs below:
Classwork p. 680 (2, 14, 18, 22, 24)
Make up assignment for quiz: Watch and take notes over the following video. Present notes Friday
Bridge Math
Solve Multistep Equations
Geometry
EOC Review: Surface Area and Volume of Right Cylinder p. 453
Terminology p. 453 : altitude, lateral surface, oblique and right cylinders, Base
Formula and Examples
p. 456 (6-35)
Micro Quiz (Parametric Equation; Remove parameter and graph...)
CH 9.6 Polar Coordinates p. 676
Examples p. 676 - 678
Watch highlights of types of polar graphs below:
Classwork p. 680 (2, 14, 18, 22, 24)
Make up assignment for quiz: Watch and take notes over the following video. Present notes Friday
Bridge Math
Solve Multistep Equations
Geometry
EOC Review: Surface Area and Volume of Right Cylinder p. 453
Terminology p. 453 : altitude, lateral surface, oblique and right cylinders, Base
Formula and Examples
p. 456 (6-35)
Tuesday, November 17, 2015
Tuesday Nov 17 2015
PreCalculus
Check applied problems p. 675 ( 59, 60) on board.
Each problem has 3-4 steps. each one must be completed by end of class.
Watch video and work out problems. Pause video and then see if you have the correct answer.
One will probably be on your quiz tomorrow.
Bridge Math
Work Multi-step Equations
Show Steps.
Geometry
Continue with 16 - 29, 45
Work and CHeck
Check applied problems p. 675 ( 59, 60) on board.
Each problem has 3-4 steps. each one must be completed by end of class.
Watch video and work out problems. Pause video and then see if you have the correct answer.
One will probably be on your quiz tomorrow.
Bridge Math
Work Multi-step Equations
Show Steps.
Geometry
Continue with 16 - 29, 45
Work and CHeck
Monday Nov 16 2015
PreCalculus
Work through Parametric Equations problems p. 674-676 on board step by step.
Bridge Math
Continue solving multi-step Inequalities
Geometry
EOC Review: Surface Area and Volume of Cones
CH 7.5 p. 460
Formulas and Examples
Work p.465 (10-15)
Note: 4th Period Program in auditorium (driving safety - no texting or drinking behind the wheel) at 1:10PM. No time to work problems in class - HW (10-15)
Continue with 16 - 29, 45 next class.
Work through Parametric Equations problems p. 674-676 on board step by step.
Bridge Math
Continue solving multi-step Inequalities
Geometry
EOC Review: Surface Area and Volume of Cones
CH 7.5 p. 460
Formulas and Examples
Work p.465 (10-15)
Note: 4th Period Program in auditorium (driving safety - no texting or drinking behind the wheel) at 1:10PM. No time to work problems in class - HW (10-15)
Continue with 16 - 29, 45 next class.
Friday, November 13, 2015
Friday Nov 13 2015
PreCalculus
Discuss Parametric Equations. Vocabulary... Initial Point, Eliminating the Parameter, etc.
Work and check various problems from HW + more problems from page 673, 674. Students work problems out on whiteboard.
HW p. 674 (19, 20, 21, 23, 28, 59) Finish as HW - turn in Monday.
Bridge Math
Solving Multistep Inequalities.
Worksheet
Geometry
Review of Trig functions plus word problems involving Soh Cah Toa.
Problems
Discuss Parametric Equations. Vocabulary... Initial Point, Eliminating the Parameter, etc.
Work and check various problems from HW + more problems from page 673, 674. Students work problems out on whiteboard.
HW p. 674 (19, 20, 21, 23, 28, 59) Finish as HW - turn in Monday.
Bridge Math
Solving Multistep Inequalities.
Worksheet
Geometry
Review of Trig functions plus word problems involving Soh Cah Toa.
Problems
Thursday, November 12, 2015
Thursday Nov 12 2015
PreCalculus
Discuss Parametric Equations. Vocabulary... Initial Point, Eliminating the Parameter, etc.
Read through Link from previous HW. GO over it section by section. Discuss how Parametric Equations can help you visually understand relations that are normally hard to graph.
Watch partial videos (basic intro to parametric equations and a couple of worked graphing problem)
HW p. 673 (9,10) and finish the videos from Tues.
Bridge Math
Conclude review of Exponent rules.
Geometry
Finish Tuesdays problems (Transformations of Geometric shapes)
Some students were testing so they are behind. Those finished can begin working on Trig word problems (worksheet)
Discuss Parametric Equations. Vocabulary... Initial Point, Eliminating the Parameter, etc.
Read through Link from previous HW. GO over it section by section. Discuss how Parametric Equations can help you visually understand relations that are normally hard to graph.
Watch partial videos (basic intro to parametric equations and a couple of worked graphing problem)
HW p. 673 (9,10) and finish the videos from Tues.
Bridge Math
Conclude review of Exponent rules.
Geometry
Finish Tuesdays problems (Transformations of Geometric shapes)
Some students were testing so they are behind. Those finished can begin working on Trig word problems (worksheet)
Tuesday, November 10, 2015
Tuesday Nov 10 2014
PreCalculus
Work thru #109/110 p. 389. Allow students to work problem and make mistakes along the way (not hard to do - this is a fairly difficult problem.) Once answer is reached, check it with book's answer in back. Sub in value if the equations don't match in order to see if they are truly different or merely different versions of the same answer. Use solutions manual at that point to find error in problem. Correct problem from that point to arrive at solution. Discuss source or error and how to avoid similar mistakes in future problems. Discuss using a solutions manual to simply copy problems versus using it as a learning tool.
HW
Visit links below and watch video. Be ready to begin working with Parametric Equations
Introduction to Parametric Equations (read)
Bridge Math
Continue working problems involving exponent rules.
Geometry
Work multi-step problems involving transformations.
Handout.
HW Watch the following videos. Take notes.
Work thru #109/110 p. 389. Allow students to work problem and make mistakes along the way (not hard to do - this is a fairly difficult problem.) Once answer is reached, check it with book's answer in back. Sub in value if the equations don't match in order to see if they are truly different or merely different versions of the same answer. Use solutions manual at that point to find error in problem. Correct problem from that point to arrive at solution. Discuss source or error and how to avoid similar mistakes in future problems. Discuss using a solutions manual to simply copy problems versus using it as a learning tool.
HW
Visit links below and watch video. Be ready to begin working with Parametric Equations
Introduction to Parametric Equations (read)
Bridge Math
Continue working problems involving exponent rules.
Geometry
Work multi-step problems involving transformations.
Handout.
HW Watch the following videos. Take notes.
Monday, November 9, 2015
Monday Nov 09 2015
Precalculus
Review Trig Functions... how to determine Amplitude, Period, Phase Shift, Vertical Shift.
Link
Math you can use; How Bell Labs determined the arrangement for phone number pads...
The best way to slice cake. Really. No kidding. Scientifically.
How can an infinite process be completed in a finite time in a finite distance?
Bridge Math
Exponent Rules - Basic
Work and check worksheet.
Geometry
EOC testing
Review Trig Functions... how to determine Amplitude, Period, Phase Shift, Vertical Shift.
Link
Math you can use; How Bell Labs determined the arrangement for phone number pads...
The best way to slice cake. Really. No kidding. Scientifically.
How can an infinite process be completed in a finite time in a finite distance?
Bridge Math
Exponent Rules - Basic
Work and check worksheet.
Geometry
EOC testing
Friday, November 6, 2015
Friday, Nov 05 2015
Precalculus
Work out problems from CH 05 quiz from yesterday... last nights homework p.390 (4,7,18)
Take care to note how functions like the Tangent have a period of pi... and when evaluated over 0-to-2pi radians solution will repeat at +pi.
Note when you can use the Unit Circle to find solutions and when you should use the inverse trig functions on the calculator. Note how to take a decimal answer and convert to a rational number with pi multiplier.
Explain common mistakes made and allow students to correct for extra credit.
Re-take Quiz with new problems... p.390 (8, 21)
Bridge Math W-NM
Look at the following videos and discuss... the "mysteries of Zero" etc...
Geometry
Finish EOC review. Keep it light. Finish early and watch a few of the videos from Bridge Math.
Work out problems from CH 05 quiz from yesterday... last nights homework p.390 (4,7,18)
Take care to note how functions like the Tangent have a period of pi... and when evaluated over 0-to-2pi radians solution will repeat at +pi.
Note when you can use the Unit Circle to find solutions and when you should use the inverse trig functions on the calculator. Note how to take a decimal answer and convert to a rational number with pi multiplier.
Explain common mistakes made and allow students to correct for extra credit.
Re-take Quiz with new problems... p.390 (8, 21)
Bridge Math W-NM
Look at the following videos and discuss... the "mysteries of Zero" etc...
Geometry
Finish EOC review. Keep it light. Finish early and watch a few of the videos from Bridge Math.
Thursday, November 5, 2015
Thurs Nov 05 2015
Precalculus
Continue to work problems from CH 05 review... last nights homework p.388
Look at how Double Angle problems have function periods halved...
Quiz p. 390 (4, 7, 18)
Bridge Math W-NM
Probability...
Discuss what probability means. Look at some examples using dice and cards. Discuss finding probability of multiple events.
Work problems from worksheets.
Geometry G-GMD
Warm Up:
Also... find volume of water needed to fill pool.
Continue with Sector Area and Arc Length, look back at various word problems from previous
sections... (EOC review.)
Some oif the problems worked in class include... p.308 (12, 13, 14, 17,) p. 318 (26, 27)
Ougat's larrge pizza is 18 inches in diameter and cut into 10 equal pieces. What is the area in square inches of a single slice of pizza?
Example 4 p. 334... p.335 (6,7)
Example bottom of page 340... (Distance formula)
p.390... Finding the Diagonal through a right Prism...
Continue to work problems from CH 05 review... last nights homework p.388
Look at how Double Angle problems have function periods halved...
Quiz p. 390 (4, 7, 18)
Bridge Math W-NM
Probability...
Discuss what probability means. Look at some examples using dice and cards. Discuss finding probability of multiple events.
Work problems from worksheets.
Geometry G-GMD
Warm Up:
Also... find volume of water needed to fill pool.
Continue with Sector Area and Arc Length, look back at various word problems from previous
sections... (EOC review.)
Some oif the problems worked in class include... p.308 (12, 13, 14, 17,) p. 318 (26, 27)
Ougat's larrge pizza is 18 inches in diameter and cut into 10 equal pieces. What is the area in square inches of a single slice of pizza?
Example 4 p. 334... p.335 (6,7)
Example bottom of page 340... (Distance formula)
p.390... Finding the Diagonal through a right Prism...
Wednesday, November 4, 2015
Wed Nov 04 2015
Precalculus
Continue to work problems from CH 05 review. p.387-388
HW p. 388 (59-61, 67, 68, 109, 110)
Bridge Math W-NM
Probability...
Discuss what probability means. Look at some ecamples using dice and cards. Discuss finding probability of multiple events.
Work problems from worksheets.
Geometry G-GMD
Warm Up:
Continue working various volume and surface area problems.
Look at finding the area of sectors of circles and composite shapes (adding and subtracting areas)
Continue to work problems from CH 05 review. p.387-388
HW p. 388 (59-61, 67, 68, 109, 110)
Bridge Math W-NM
Probability...
Discuss what probability means. Look at some ecamples using dice and cards. Discuss finding probability of multiple events.
Work problems from worksheets.
Geometry G-GMD
Warm Up:
Continue working various volume and surface area problems.
Look at finding the area of sectors of circles and composite shapes (adding and subtracting areas)
Tuesday, November 3, 2015
Tuesday Nov 03 2015
PreCalculus
Work CH 5 problems today and tomorrow and have test on Thursday.
p387 CH5 Review (1-13; 37, 42, 47)
HW p 387 49-58
Bridge Math W-NM
Given tabular data, derive a linear equation that models the data
Use TI Nspire calculators
Worksheet
Geometry G-GMD
Understand and use the concepts of Surface area and Volume of Spheres to solve problems.
Work CH 5 problems today and tomorrow and have test on Thursday.
p387 CH5 Review (1-13; 37, 42, 47)
HW p 387 49-58
Bridge Math W-NM
Given tabular data, derive a linear equation that models the data
Use TI Nspire calculators
Worksheet
Geometry G-GMD
Understand and use the concepts of Surface area and Volume of Spheres to solve problems.
Monday, November 2, 2015
Monday Nov 2 2015
PreCalculus
Solving Trigonometric Equations, Continued.
5.5 Multiple Angle Formulas p.375
Multiple angle formulas, Half angle formulas, Power reducing formulas.
Work through examples 1, 2, 5, 6, 7
HW p.382-385 ( 1,4,5,33,90,115)
Bridge Math W-NM
Understand the definition and how to determine if a number is rational or irrational.
Video: What is a Rational Number
Video: What is an Irrational Number
Students will work and correct worksheet
Geometry
Surface Area continued (in progress.)
Surface Area and Volume of Pyramids and Cones
Surface Area Problems
Volume Problems
Solving Trigonometric Equations, Continued.
5.5 Multiple Angle Formulas p.375
Multiple angle formulas, Half angle formulas, Power reducing formulas.
Work through examples 1, 2, 5, 6, 7
HW p.382-385 ( 1,4,5,33,90,115)
Bridge Math W-NM
Understand the definition and how to determine if a number is rational or irrational.
Video: What is a Rational Number
Video: What is an Irrational Number
Students will work and correct worksheet
Geometry
Surface Area continued (in progress.)
Surface Area and Volume of Pyramids and Cones
Surface Area Problems
Volume Problems
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