Precalculus
Begin looking at Vectors p. 408
HW/Classwork p.417 (2-20 Even)
Bridge Math
Solve systems of equations graphically.
Find intersection, know what parallel lines, intersectiong lines, and overlapping lines mean.
Correctly sketch the lines, label the intersection and the equation of the lines...
Geometry
Unit Circle -- Sine, Cosine, Tangent.
Wednesday, December 9, 2015
Monday, December 7, 2015
Monday Dec 07 2015
PreCalculus
Work through # 73 p.307 a- d
Damped Harmonic Motion
Review Exponential Equations
HW p.187 (66-69)
Bridge Math
Converting Sentences into equations
Geometry
EOC's today and tomorrow...
Work through # 73 p.307 a- d
Damped Harmonic Motion
Review Exponential Equations
HW p.187 (66-69)
Bridge Math
Converting Sentences into equations
Geometry
EOC's today and tomorrow...
Friday, December 4, 2015
Friday Dec 05 2015
PreCalculus
Work HW problem p.297 #80 exhaustively.
Classwork p. 307 #70, 73all parts (Composite functions, data fitting, sine function with amplitude, vertical shift, period and phase shift... finding greatest and smallest differences between two graphs, etc.)
Bridge Math
W-?M
Take verbal expressions and create mathematical expressions
worksheet
Geometry
Review of Pythagorean Theorem Problems
1st) p.326 (14-19; 24-30)
2nd) p.833 Section 5.4 (1-13)
3rd) Word Problems from the following videos:
Work HW problem p.297 #80 exhaustively.
Classwork p. 307 #70, 73all parts (Composite functions, data fitting, sine function with amplitude, vertical shift, period and phase shift... finding greatest and smallest differences between two graphs, etc.)
Bridge Math
W-?M
Take verbal expressions and create mathematical expressions
worksheet
Geometry
Review of Pythagorean Theorem Problems
1st) p.326 (14-19; 24-30)
2nd) p.833 Section 5.4 (1-13)
3rd) Word Problems from the following videos:
Thursday, December 3, 2015
Thurs Dec 03 2015
PreCalculus
Work HW problem p.296 #75 exhaustively.
Classwork p. 297 # 80 all parts (data fitting, sine function with amplitude, vertical shift, period and phase shift... finding average between two graphs, etc.
Bridge Math
W-?M
Take verbal expressions and create mathematical expressions
worksheet
Geometry
Review of Special Triangles
45-45-90 & 30-60-90 Triangles p.335/336 (5, 6, 7,10-33)
Area of Regular Polygons Ex 4 & 5 p.334/335 p.335(8, 9, 40-43)
Work HW problem p.296 #75 exhaustively.
Classwork p. 297 # 80 all parts (data fitting, sine function with amplitude, vertical shift, period and phase shift... finding average between two graphs, etc.
Bridge Math
W-?M
Take verbal expressions and create mathematical expressions
worksheet
Geometry
Review of Special Triangles
45-45-90 & 30-60-90 Triangles p.335/336 (5, 6, 7,10-33)
Area of Regular Polygons Ex 4 & 5 p.334/335 p.335(8, 9, 40-43)
Wednesday, December 2, 2015
Wed Dec 02 2015
PreCalculus
Continue working with graphs of sine and cosine functions
Introduce vertical shift along with amplitude, phase shift (horizontal), and period
p.295 (38, 48, 54) work in class by hand, check
HW p.296 75, applied problem
Bridge Math
Angle Relationships
Solve algebraic expressions given complementary and supplementary angle relationships.
Geometry
Review of CH 05 Perimeter, Area, SPecial Triangle Relationships
45-45-90 & 30-60-90 Triangle relationships... Pythagorean Theorem.
p. 363 (1 - 23)
Show work and draw and label diagrams. Check answers with teacher.
HW p.367 (1-5, 12-15,19,20)
Continue working with graphs of sine and cosine functions
Introduce vertical shift along with amplitude, phase shift (horizontal), and period
p.295 (38, 48, 54) work in class by hand, check
HW p.296 75, applied problem
Bridge Math
Angle Relationships
Solve algebraic expressions given complementary and supplementary angle relationships.
Geometry
Review of CH 05 Perimeter, Area, SPecial Triangle Relationships
45-45-90 & 30-60-90 Triangle relationships... Pythagorean Theorem.
p. 363 (1 - 23)
Show work and draw and label diagrams. Check answers with teacher.
HW p.367 (1-5, 12-15,19,20)
Tuesday, December 1, 2015
Tuesday Dec 01 2015
Precalculus
p. 290 - 292 Graphs of Sine and Cosine Functions
Scaling - Horizontal Scaling
Note what "parts" of equation define Amplitude, what parts shape the Period, etc.
Work on finding critical points of the Sin/Cos functions over a given Period (endpoints, midpoint, max and min) Learn how to find the coordinates for these points WITHOUT a calculator.
Also do this given a Phase-Shift component
Examples 3, 4, 5. Also created problems on board.
HW p.294 (12, 13, 48)
Bridge Math
Continue working problems involving Complementary and Supplementary angles.
Geometry
Volume and Surface Area Quiz
Page 493 (9, 10, 11, 12, 17, 18, 19)
Classwork
p. 426 (1-18)
p. 290 - 292 Graphs of Sine and Cosine Functions
Scaling - Horizontal Scaling
Note what "parts" of equation define Amplitude, what parts shape the Period, etc.
Work on finding critical points of the Sin/Cos functions over a given Period (endpoints, midpoint, max and min) Learn how to find the coordinates for these points WITHOUT a calculator.
Also do this given a Phase-Shift component
Examples 3, 4, 5. Also created problems on board.
HW p.294 (12, 13, 48)
Bridge Math
Continue working problems involving Complementary and Supplementary angles.
Geometry
Volume and Surface Area Quiz
Page 493 (9, 10, 11, 12, 17, 18, 19)
Classwork
p. 426 (1-18)
Monday, November 30, 2015
Monday Nov 30 2015
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
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
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
Friday, October 30, 2015
Friday Oct 30 2015
PreCalculus
Since I failed to click "'post" and place the videos for last night's homework online, we will work thru the Examples on Video One from last night stopping to discuss various points along the way during each problem.
Afterwards we will work thru two problems from yesterday (55, 57) and work thru 58 as well.
HW take notes on the two remaining videos posted on Thursday's page. Look ahead to Monday - page 378 (Half-Angle formulas) and work through Example 6.
Bridge Math
W-SM-3
Create various expressions and equations to describe relationships between quantities.
(Take a sentence or sentences and write a relevant expression or equation.)
Geometry: G-GMD
Take Notes on the following videos concerning finding the surface area of rectangular prisms.
What is a Geometric Net
Using Nets to find Surface Area
Lateral Area and Surface Area of a Rectangular Prism
Lateral and Surface Area of a Triangular Prism
work and check the following problems: p 440 (5,6,7; 17-35)
Since I failed to click "'post" and place the videos for last night's homework online, we will work thru the Examples on Video One from last night stopping to discuss various points along the way during each problem.
Afterwards we will work thru two problems from yesterday (55, 57) and work thru 58 as well.
HW take notes on the two remaining videos posted on Thursday's page. Look ahead to Monday - page 378 (Half-Angle formulas) and work through Example 6.
Bridge Math
W-SM-3
Create various expressions and equations to describe relationships between quantities.
(Take a sentence or sentences and write a relevant expression or equation.)
Geometry: G-GMD
Take Notes on the following videos concerning finding the surface area of rectangular prisms.
What is a Geometric Net
Using Nets to find Surface Area
Lateral Area and Surface Area of a Rectangular Prism
Lateral and Surface Area of a Triangular Prism
work and check the following problems: p 440 (5,6,7; 17-35)
Thurs Oct 29 2015
Sum and Difference Formulas
p. 368
Work through Examples 1,2,5
Classwork p.372(2-10 Even) (55, 57), take micro-quiz
Homework take notes from videos below...
Be prepared to turn in notes from videos at beginning of class. They will be returned once they are checked.
Bridge Math
Compare rational numbers using > , < , =
Work examples then work and check worksheet. Discuss common denominators and also how to convert to decimal and compare.
Geometry
2nd part of MIST practice test.
p. 368
Work through Examples 1,2,5
Classwork p.372(2-10 Even) (55, 57), take micro-quiz
Homework take notes from videos below...
Be prepared to turn in notes from videos at beginning of class. They will be returned once they are checked.
Bridge Math
Compare rational numbers using > , < , =
Work examples then work and check worksheet. Discuss common denominators and also how to convert to decimal and compare.
Geometry
2nd part of MIST practice test.
Wednesday, October 28, 2015
Wed Oct 28 2015
PreCalculus
Work through HW problems from past two nights. Finish with applied problems 68, 69.
HW 366 (73, 74) read thru examples p 368-371
Bridge Math
Finish Scientific Notation conversions.
Geometry
Work a selected applied Trig problem
Continue with dilations from yesterday
Worksheet : Dilations
Work dilation problems from the book p. 504-505 (40-44)
Look at dilations that are NOT centered about the Origin.
Work through the first example, Dilatinf a full shape, HERE...
Work through HW problems from past two nights. Finish with applied problems 68, 69.
HW 366 (73, 74) read thru examples p 368-371
Bridge Math
Finish Scientific Notation conversions.
Geometry
Work a selected applied Trig problem
Continue with dilations from yesterday
Worksheet : Dilations
Work dilation problems from the book p. 504-505 (40-44)
Look at dilations that are NOT centered about the Origin.
Work through the first example, Dilatinf a full shape, HERE...
Tuesday, October 27, 2015
Tues oct 27 2015
PreCalculus
Continue on with the rest of the example problems. Take 10 minute Micro-Quiz.
Classwork/HW p.364 6,8,20,22,68,69,70
Bridge Math
Continue Scientific Notation
Converting each way; correcting incorrect conversions.
Geometry
Work various trig word problems from the following worksheet PDF
(start page 4 -- Totem pole problems)
Introduce the last Geometric Transformation - Dilations
Continue on with the rest of the example problems. Take 10 minute Micro-Quiz.
Classwork/HW p.364 6,8,20,22,68,69,70
Bridge Math
Continue Scientific Notation
Converting each way; correcting incorrect conversions.
Geometry
Work various trig word problems from the following worksheet PDF
(start page 4 -- Totem pole problems)
Introduce the last Geometric Transformation - Dilations
Monday, October 26, 2015
Monday Oct 26 2015
PreCalculus
5.3 Solving Trig Equations
Quickly go back over Examples 1-4, continue on working through examples 5-8 (p. 356-360)
HW p. 364 (1-13 ODD, 17-25 ODD, 31)
Quiz problem tomorrow
Bonus; Due Friday - State how you can convert an angle in decimal radians into the standard rational form including pi.
Bridge Math
Scientific Notation
Work problems from the board... focus on "correcting" incorrect sci. not. numbers.
Geometry
Review: Finding height using the tangent function
(missed often on TNCore benchmark)
Work additional problems from the following examples...
http://mathbitsnotebook.com/Geometry/Trigonometry/TGElevDepress.html
5.3 Solving Trig Equations
Quickly go back over Examples 1-4, continue on working through examples 5-8 (p. 356-360)
HW p. 364 (1-13 ODD, 17-25 ODD, 31)
Quiz problem tomorrow
Bonus; Due Friday - State how you can convert an angle in decimal radians into the standard rational form including pi.
Bridge Math
Scientific Notation
Work problems from the board... focus on "correcting" incorrect sci. not. numbers.
Geometry
Review: Finding height using the tangent function
(missed often on TNCore benchmark)
Work additional problems from the following examples...
http://mathbitsnotebook.com/Geometry/Trigonometry/TGElevDepress.html
Tuesday, October 13, 2015
Tuesday Oct 13 2015
PreCalculus
G TI -1
Review HW problems from Monday...
Did you watch the videos... you have a quiz over some of the problems in them...!
Identitiy Quiz
Work HW problems... also p. 345 (16-24 EVEN, 46, 48, 86)
Bridge Math
Finish problems from worksheet and discuss strategies to factor Difference of Squares
Geometry
GC-2 Identify and desc. relationships among inscribed, angles, radii, and chords,; central, inscribed, andgles, etc.
Understand relationships between central and inscribed angles on the circle and outside the circle... also chords which cross inside the circle and the lengths of those segments.
Relationships between angles and arc measure.
Most are here.
Intersecting Chords
Work problems from board.
G TI -1
Review HW problems from Monday...
Did you watch the videos... you have a quiz over some of the problems in them...!
Identitiy Quiz
Work HW problems... also p. 345 (16-24 EVEN, 46, 48, 86)
Bridge Math
Finish problems from worksheet and discuss strategies to factor Difference of Squares
Geometry
GC-2 Identify and desc. relationships among inscribed, angles, radii, and chords,; central, inscribed, andgles, etc.
Understand relationships between central and inscribed angles on the circle and outside the circle... also chords which cross inside the circle and the lengths of those segments.
Relationships between angles and arc measure.
Most are here.
Intersecting Chords
Work problems from board.
Monday, October 12, 2015
Monday Oct 12 2015
PreCalculus
Review HW problems from Friday...
Did you watch the videos... you *may* have a quiz over some of the problems in them...!
Cover the Cofunction Identities
p. 345 (16-24 EVEN, 46, 48,86)
Bridge Math
Factoring Difference of Squares
Worksheet
Geometry
GC-2 Identify and desc. relationaships among inscribed, angles, radii, and chords,; central, inscribed, andgles, etc.
Understand relationships between central and inscribed angles on the circle.
Relationships between angles and arc measure.
Work problems from board.
Review HW problems from Friday...
Did you watch the videos... you *may* have a quiz over some of the problems in them...!
Cover the Cofunction Identities
p. 345 (16-24 EVEN, 46, 48,86)
Bridge Math
Factoring Difference of Squares
Worksheet
Geometry
GC-2 Identify and desc. relationaships among inscribed, angles, radii, and chords,; central, inscribed, andgles, etc.
Understand relationships between central and inscribed angles on the circle.
Relationships between angles and arc measure.
Work problems from board.
Friday, October 9, 2015
Friday Oct 09 2015
PreCalculus
5.1 Trig Identities p. 340
Warm-up
Definitions
Work examples 1-8
Work Selected Problems at end of section 5.1 as time allows.
p.345 (2,27,28,31,32,45,52,54,70)
Watch videos over weekend. Two problems shown on the videos will be used on a quiz Monday or Tuesday.
See how the Unit Circle can turn into a Sine function (scroll half-way down page, look for animation.)
Good Intro to Trig
Bridge Math
Geometry
5.1 Trig Identities p. 340
Warm-up
Definitions
Work examples 1-8
Work Selected Problems at end of section 5.1 as time allows.
p.345 (2,27,28,31,32,45,52,54,70)
Watch videos over weekend. Two problems shown on the videos will be used on a quiz Monday or Tuesday.
See how the Unit Circle can turn into a Sine function (scroll half-way down page, look for animation.)
Good Intro to Trig
Bridge Math
Geometry
Thursday, October 8, 2015
Thursday October 08 2015
PreCalculus
Work review problems p. 334 - 337 first half of class before quiz.
Ch 04 Quiz
Look at Trig Identities (CH 05)
Bridge Math
Finish multiplying polynomials using FOIL or Dist. Property.
Worksheet
Geometry
Vertex form of a Circle -- Circles and inscribed angles, etc.
Vertex Form of a Circle - 10 problems
Graph Paper
Work review problems p. 334 - 337 first half of class before quiz.
Ch 04 Quiz
Look at Trig Identities (CH 05)
Bridge Math
Finish multiplying polynomials using FOIL or Dist. Property.
Worksheet
Geometry
Vertex form of a Circle -- Circles and inscribed angles, etc.
Vertex Form of a Circle - 10 problems
Graph Paper
Wednesday Oct 07 2015
PreCalculus
Applied Problems : angles of elevation and depression; headings, inverse trig functions to solve for angles.
p.327-327 (20, 25, 33, 49)
Bridge Math
Complete multiplying polynomials (FOIL and Dist. Prop.)
Geometry
Finish PARCC problems
Circles
vertex form of a circle
Completing the Square
Vertex Form
Worksheet - Given (or deriving) the vertex form of a circle, locate and sketch the center point, radius, and the circle itself.
Worksheet
Applied Problems : angles of elevation and depression; headings, inverse trig functions to solve for angles.
p.327-327 (20, 25, 33, 49)
Bridge Math
Complete multiplying polynomials (FOIL and Dist. Prop.)
Geometry
Finish PARCC problems
Circles
vertex form of a circle
Completing the Square
Vertex Form
Worksheet - Given (or deriving) the vertex form of a circle, locate and sketch the center point, radius, and the circle itself.
Worksheet
Tuesday, October 6, 2015
Tuesday Oct 06 2015
Precalculus and Bridge Math pre-empted for the 10th grade PLAN test.
Geometry
Problems on parallelograms: Link
Use problems as source problems drawn on overhead... (35 min)
Begin using review material in addition to continuing on with new objectives.
Select problems from practice EOC/CORE practice.
Geometry
Problems on parallelograms: Link
Use problems as source problems drawn on overhead... (35 min)
Begin using review material in addition to continuing on with new objectives.
Select problems from practice EOC/CORE practice.
Monday, October 5, 2015
Monday October 05 2015
PreCalculus
Review Friday's Lesson p.309-312
Review inverse relationship of arcsin, arccos, arctan...
Discuss use of unit circle and inverse trig functions to find unknown angles.
Use inverse trig functions to find unknown angles in application problems.
Bridge Math
Multiplying Polynomials by Monomials
Worksheet
Geometry
G-CO-11
Briefly discuss constructions from last week and we will be returning to them at week's end.
Prove theorems about parallelograms
- opposite sides are congruent
- opposite angles are congruent
Problems at end of class from following website:
http://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/
Review Friday's Lesson p.309-312
Review inverse relationship of arcsin, arccos, arctan...
Discuss use of unit circle and inverse trig functions to find unknown angles.
Use inverse trig functions to find unknown angles in application problems.
Bridge Math
Multiplying Polynomials by Monomials
Worksheet
Geometry
G-CO-11
Briefly discuss constructions from last week and we will be returning to them at week's end.
Prove theorems about parallelograms
- opposite sides are congruent
- opposite angles are congruent
Problems at end of class from following website:
http://www.mathwarehouse.com/geometry/quadrilaterals/parallelograms/
Thursday, October 1, 2015
Friday Oct 02 2015
PreCalculus
Read p 309-312
Work examples 1,2, and 3
Problems, p316-318 (2,4,6, 27-30 ALL, 71, 74, 75)
Bridge Math
Adding and Subtracting Polynomials
Work handouts and turn in.
Geometry
Work handout -- Geometric Constructions. Turn in when finished.
Read page 177 - 179. Copy rules, etc on these pages.
Page 180 (9 - 38)
Read p 309-312
Work examples 1,2, and 3
Problems, p316-318 (2,4,6, 27-30 ALL, 71, 74, 75)
Bridge Math
Adding and Subtracting Polynomials
Work handouts and turn in.
Geometry
Work handout -- Geometric Constructions. Turn in when finished.
Read page 177 - 179. Copy rules, etc on these pages.
Page 180 (9 - 38)
Thursday Oct 01 2015
PreCalculus
Define reciprocal trig functions.
Compare to Inverse trig functions
p306 (68, 72) Work out these multi-step applied math problems showing diagrams and all work.
Note: moving around with my jacket over my shoulders trying to stay warm with this cold and fever... back and forth to the board.
Kinda reminds me of Jame's Browns Cape Routine.
Bridge Math
Worksheet Polynomial Addition and Subtraction
Geometry
Beginning - constructing altitude of acute and obtuse triangles (pretty much the same as constructing a perpendicular to a line thru a point not on the line.
Define and construct Orthocenter, Centroid, and Incenter of a triangle.
Define reciprocal trig functions.
Compare to Inverse trig functions
p306 (68, 72) Work out these multi-step applied math problems showing diagrams and all work.
Note: moving around with my jacket over my shoulders trying to stay warm with this cold and fever... back and forth to the board.
Kinda reminds me of Jame's Browns Cape Routine.
Bridge Math
Worksheet Polynomial Addition and Subtraction
Geometry
Beginning - constructing altitude of acute and obtuse triangles (pretty much the same as constructing a perpendicular to a line thru a point not on the line.
Define and construct Orthocenter, Centroid, and Incenter of a triangle.
Wednesday, September 30, 2015
Wed Sept 30 2015
PreCalculus
4.6 Graphs of Other Trig Functions p. 298
Check word problems from yesterday.
p.296 (75, 76)
Discuss that the Tangent function is created by the quotient of Sine over Cosine.
Since the Cos can equal zero, this influences our Domain and also introduces vertical asymptotes to the graph
Show how a sin/cos Unit Circle can easily be used to find the tan values at the main angles.
Note that the Period of Tan(x) is pi... look at how the positive and negative sin/cos values in the 4 quadrants make this so. Remind them that the period of the Tan function is pi ---> half that of the sin/cos -2 pi.
Quickly look at the graph of the tangent and cotangent functions
Discuss how to indicate that the vertical asymptotes are given by x = pi/2 + npi
Discuss the Domain being x not equal to pi/2 + npi
Discuss how the Range is all Reals (pos infinity to neg infinity)
Work p. 305 (3,5,7-10, 29, 67, 69)
Bridge Math
Using Formulas
Convert between Celcius and Faren. in various problems
Work problems from worksheet 01, worksheet 02, and worksheet 03.
Geometry
Finish Constructions worksheet from yesterday.
Focus on constructing
Perpendicular Bisector of line segment
Perp. line thru a given point not on the line
Parallel line thru a point not on the line.
Finish worksheet. Also provide additional related problems from board.
4.6 Graphs of Other Trig Functions p. 298
Check word problems from yesterday.
p.296 (75, 76)
Discuss that the Tangent function is created by the quotient of Sine over Cosine.
Since the Cos can equal zero, this influences our Domain and also introduces vertical asymptotes to the graph
Show how a sin/cos Unit Circle can easily be used to find the tan values at the main angles.
Note that the Period of Tan(x) is pi... look at how the positive and negative sin/cos values in the 4 quadrants make this so. Remind them that the period of the Tan function is pi ---> half that of the sin/cos -2 pi.
Quickly look at the graph of the tangent and cotangent functions
Discuss how to indicate that the vertical asymptotes are given by x = pi/2 + npi
Discuss the Domain being x not equal to pi/2 + npi
Discuss how the Range is all Reals (pos infinity to neg infinity)
Work p. 305 (3,5,7-10, 29, 67, 69)
Bridge Math
Using Formulas
Convert between Celcius and Faren. in various problems
Work problems from worksheet 01, worksheet 02, and worksheet 03.
Geometry
Finish Constructions worksheet from yesterday.
Focus on constructing
Perpendicular Bisector of line segment
Perp. line thru a given point not on the line
Parallel line thru a point not on the line.
Finish worksheet. Also provide additional related problems from board.
Tuesday, September 29, 2015
Tuesday Sept 29 2015
PreCalculus
Finish problems from yesterday. Check selected problems on board.
Applied problems (multi-step and multiple questions. Calculator needed.)
page 296 (74, 75, 76)
Bridge Math
Formulas.
Solve for other variables in formulas. Worksheet.
Solve selected formulas involving exponents.
Geometry
G-CO 12
Continue with constructions -- Bisecting a segment and now an angle.. copying a segment and angle. Perpendicular bisectors.
Worksheet (segments, perp. bisectors)
Worksheet (angles)
Finish problems from yesterday. Check selected problems on board.
Applied problems (multi-step and multiple questions. Calculator needed.)
page 296 (74, 75, 76)
Bridge Math
Formulas.
Solve for other variables in formulas. Worksheet.
Solve selected formulas involving exponents.
Geometry
G-CO 12
Continue with constructions -- Bisecting a segment and now an angle.. copying a segment and angle. Perpendicular bisectors.
Worksheet (segments, perp. bisectors)
Worksheet (angles)
Monday, September 28, 2015
Monday Sept 28 2015
PreCalculus
warm up Solve an exponential equation and a logarithmic equation (CH03)
4.5 Basic Sine/Cosine Functions p.287
p. 288 Locate Max/min/intercepts for sin/cos in radians Note the Period is 2*pi
Note general formula/equation for sin/cos : y = asin(bx - c) + d
Note/define a,b,c,d in general equation:
Amplitude p.289, specific period = 2*pi / b, Horizontal translation interval p.292
Work 1 - 50 p.294/295
Bridge Math
W-SM-05
Manipulate exponents and formulas with exponents
Exponents Handout PDF
Worksheet
Geometry
G-CO-10
Median of Triangle: What is it?
Note: There are several "breaks" in the video. But no break-dancing.
Construction : Median of a Triangle
Woksheet :Median and Centroid constructions
Proof: Triangle Medians all meet at a common point (centroid)
Homework: watch informal proof (Triangle Medians and Centroid), copy down diagrams and work, turn in for quiz grade tomorrow.
warm up Solve an exponential equation and a logarithmic equation (CH03)
4.5 Basic Sine/Cosine Functions p.287
p. 288 Locate Max/min/intercepts for sin/cos in radians Note the Period is 2*pi
Note general formula/equation for sin/cos : y = asin(bx - c) + d
Note/define a,b,c,d in general equation:
Amplitude p.289, specific period = 2*pi / b, Horizontal translation interval p.292
Work 1 - 50 p.294/295
Bridge Math
W-SM-05
Manipulate exponents and formulas with exponents
Exponents Handout PDF
Worksheet
Geometry
G-CO-10
Median of Triangle: What is it?
Note: There are several "breaks" in the video. But no break-dancing.
Construction : Median of a Triangle
Woksheet :Median and Centroid constructions
Proof: Triangle Medians all meet at a common point (centroid)
Homework: watch informal proof (Triangle Medians and Centroid), copy down diagrams and work, turn in for quiz grade tomorrow.
Thursday, September 24, 2015
Thursday Sept 24 2015
PreCalculus
Warm-up p. 276 # 57
4.4 Trig Functions of Any Angle p. 278
Discuss trig functions of unit circle vs. non-unit circle
Sin x = y/r, etc...
Notes: chart page 278, pos/neg of trig functions in each quadrant
Def. Reference Angle
Work through examples 1 - 4
Work 1-4, 45 - 50 p. 284/285
Bridge Math
Work examples (after pausing video) then check...
work problems from worksheet:
Worksheet
Geometry
G-CO-10 Prove Properties of Triangles:
Work through following videos, pausing and discussing steps
Warm-up p. 276 # 57
4.4 Trig Functions of Any Angle p. 278
Discuss trig functions of unit circle vs. non-unit circle
Sin x = y/r, etc...
Notes: chart page 278, pos/neg of trig functions in each quadrant
Def. Reference Angle
Work through examples 1 - 4
Work 1-4, 45 - 50 p. 284/285
Bridge Math
Work examples (after pausing video) then check...
work problems from worksheet:
Worksheet
Geometry
G-CO-10 Prove Properties of Triangles:
Work through following videos, pausing and discussing steps
Wednesday, September 23, 2015
Wednesday Sept 23 2015
Precalculus
Continue from Monday. Work and check the following applied problems on
Text p. 276( 55, 57, 58, 59, 63)
Bridge Math
Watch and take notes on what defines an irratonal number... how they are used, and graphical visualizations of them.
Geometry
Parallel Line Proofs
3.3 p. 155
Define Postulate, Axiom, Theorem
Corresponding Angles postulate p. 157
Rework similar theorem and check
Rework similar theorem
Work problems from video below, pause, then check.
Work p. 161 37-44
p.165 18 -24
Continue from Monday. Work and check the following applied problems on
Text p. 276( 55, 57, 58, 59, 63)
Bridge Math
Watch and take notes on what defines an irratonal number... how they are used, and graphical visualizations of them.
Geometry
Parallel Line Proofs
3.3 p. 155
Define Postulate, Axiom, Theorem
Corresponding Angles postulate p. 157
Rework similar theorem and check
Rework similar theorem
Work problems from video below, pause, then check.
Work p. 161 37-44
p.165 18 -24
Tuesday, September 22, 2015
Tuesday September 22 2015
Note: 80% of classes gone due to LMU field trip and other absences.
Classes work on finishing assignments from previous day.
SSmith
Classes work on finishing assignments from previous day.
SSmith
Monday, September 21, 2015
Monday Sept 21 2015
PreCalculus
Work through HW problem 59 p.265
Trigonometry of the Unit Circle
Define sin, cos, tan and their inverses.
SOH CAH TOA
Show how to find opposite, adjacent, and tangent sides of triangle.
Work through Examples 1 - 3, 6, 7)
Work 1-7, 17 - 27 ODD
Bridge Math
M-SG
Graphically solve systems of equations
Work problems from overhead using TI Inspire's to solve a system of linear equations graphically.
Problems
Geometry
8.4 The Side-Splitting Theorem (Triangle Parallel Theorem. p.525
Previously partially covered in previous lesson - work thru Examples 1, 2, Work and check p. 528 (6.7.8. 13 - 17)
Work Problems p.531 (39) p. 523 (35-38)
Work through HW problem 59 p.265
Trigonometry of the Unit Circle
Define sin, cos, tan and their inverses.
SOH CAH TOA
Show how to find opposite, adjacent, and tangent sides of triangle.
Work through Examples 1 - 3, 6, 7)
Work 1-7, 17 - 27 ODD
Bridge Math
M-SG
Graphically solve systems of equations
Work problems from overhead using TI Inspire's to solve a system of linear equations graphically.
Problems
Geometry
8.4 The Side-Splitting Theorem (Triangle Parallel Theorem. p.525
Previously partially covered in previous lesson - work thru Examples 1, 2, Work and check p. 528 (6.7.8. 13 - 17)
Work Problems p.531 (39) p. 523 (35-38)
Friday, September 18, 2015
Friday Sept 18 2015
PreCalculus
4.2 Unit Circle p. 259
Complete blank unit circle handout with assistance of video.
Define sine, cosine, tangent function in terms of unit circle
Quick geometry review of special triangles (45-45-90 and 30-60-90 triangle side length relationships)
HW p. 264 1 - 39 ODD
Bridge Math
Perimeter and Area of complex figures handouts
Geometry
Perimeter and Area of Complex figures handout
4.2 Unit Circle p. 259
Complete blank unit circle handout with assistance of video.
Define sine, cosine, tangent function in terms of unit circle
Quick geometry review of special triangles (45-45-90 and 30-60-90 triangle side length relationships)
HW p. 264 1 - 39 ODD
Bridge Math
Perimeter and Area of complex figures handouts
Geometry
Perimeter and Area of Complex figures handout
Thursday, September 17, 2015
Thursday Sept 17 2015
PreCalculus
4.1 Radian and Degree Measure p. 248
notes from p. 248 - 254
Examples 6 and 7 p. 254
HW p. 255 (1-59 ODD)
Bridge Math
Solve word problems involving scientific notation
Geometry
Solve word problems involving similar figures + review of prior concepts.
4.1 Radian and Degree Measure p. 248
notes from p. 248 - 254
Examples 6 and 7 p. 254
HW p. 255 (1-59 ODD)
Bridge Math
Solve word problems involving scientific notation
Geometry
Solve word problems involving similar figures + review of prior concepts.
Wednesday, September 16, 2015
Wednesday, Sept 16 2015
PreCalculus
Quiz
Page 244 15-20
CH 4.1 Radia Measure p.248
Bridge Math
Scientific Notation
Operations in Sci Not.
Begin Word Problems
Geometry
Similar Triangles
Continue solving for unknown lengths given similar triangles
Focus on word problems and short task style problems.
Quiz
Page 244 15-20
CH 4.1 Radia Measure p.248
Bridge Math
Scientific Notation
Operations in Sci Not.
Begin Word Problems
Geometry
Similar Triangles
Continue solving for unknown lengths given similar triangles
Focus on word problems and short task style problems.
Tuesday, September 15, 2015
Tuesday, Sept 15 2015
PreCalculus
Solving logarithmic and exponential equations - real life problems
Bridge Math
Scientific Notation : adding, subtracting
Work problems from selected worksheets
Geometry
Similar Triangles
Work problems from board
HW p. 528 (13-25)
Solving logarithmic and exponential equations - real life problems
Bridge Math
Scientific Notation : adding, subtracting
Work problems from selected worksheets
Geometry
Similar Triangles
Work problems from board
HW p. 528 (13-25)
Monday, Sept 14 2015
PreCalculus
Logarithmic and Exponential Equations
Solving more complex equations
Bridge Math
Scientific Notation
multiplication and division
Geometry
Similar Triangles p. 517
Congruency vs. Similarity
Work problems from board
HW p. 524 (39-42; 48 -51)
Logarithmic and Exponential Equations
Solving more complex equations
Bridge Math
Scientific Notation
multiplication and division
Geometry
Similar Triangles p. 517
Congruency vs. Similarity
Work problems from board
HW p. 524 (39-42; 48 -51)
Friday, September 11, 2015
Friday, September 11, 2015
In progress...
PreCalculus
p.217 graphs, equations into notes, Work through examples 1-4.
Bridge Math
Intro to Scientific Notations
Geometry
PreCalculus
p.217 graphs, equations into notes, Work through examples 1-4.
Bridge Math
Intro to Scientific Notations
Geometry
Thursday, September 10, 2015
Thursday September 10, 2015
In progress...
PreCalculus
p.214 73-87 ODD, p.116 ( look at Example 10 p.195), problems from board.
Work through problems and discuss, correct, etc.
Bridge Math
Solving equations with radical expressions
Geometry
Solve word problems involving Special Triangles (30,60,90 and 45,45,90 Triangles)
PreCalculus
p.214 73-87 ODD, p.116 ( look at Example 10 p.195), problems from board.
Work through problems and discuss, correct, etc.
Bridge Math
Solving equations with radical expressions
Geometry
Solve word problems involving Special Triangles (30,60,90 and 45,45,90 Triangles)
Wednesday, September 9, 2015
Wednesday Sept 09 2015
PreCalculus
2 handouts - solving exponential equations & solving logarithm equations
Work through problems solving various kinds of equations. Check answers.
Bridge Math
2 worksheets - Simplifying rational expreassions & operations with rational expressions
Geometry
2 Handouts - Using the Midpoint Formula and the Distance Formula
2 handouts - solving exponential equations & solving logarithm equations
Work through problems solving various kinds of equations. Check answers.
Bridge Math
2 worksheets - Simplifying rational expreassions & operations with rational expressions
Geometry
2 Handouts - Using the Midpoint Formula and the Distance Formula
Tuesday, September 8, 2015
Tuesday Sept 08 2015
PreCalculus
3.4 Solving Exponential and Logarithmic Equations (p.206)
Properties page 206
Examples 1 - 7 p.206-209
Page 213 (17 - 37ODD 38-45 all)
Bridge Math
Operations involving Radical expressions (-, +, mult, div)
Simplify and solve expressions involving radicals ie. square roots.
Students work problems from overhead
Note: review rationalizing denominator
Geometry
5.5 Special Triangles (p.331)
illustrate the relationships between side length in 45-45-90 triangles and 30-60-90 triangles.
Work several examples of 45-45-90 triangles via Pythagoraean Theorem. Show how the hypotenuse is always SQRT(2) times the leg length.
Work several 30-60-90 problems. Work on how to remember the relationships.
p.335 (5 - 33; 44, 45)
3.4 Solving Exponential and Logarithmic Equations (p.206)
Properties page 206
Examples 1 - 7 p.206-209
Page 213 (17 - 37ODD 38-45 all)
Bridge Math
Operations involving Radical expressions (-, +, mult, div)
Simplify and solve expressions involving radicals ie. square roots.
Students work problems from overhead
Note: review rationalizing denominator
Geometry
5.5 Special Triangles (p.331)
illustrate the relationships between side length in 45-45-90 triangles and 30-60-90 triangles.
Work several examples of 45-45-90 triangles via Pythagoraean Theorem. Show how the hypotenuse is always SQRT(2) times the leg length.
Work several 30-60-90 problems. Work on how to remember the relationships.
p.335 (5 - 33; 44, 45)
Friday, September 4, 2015
Friday Sep 04 2015
PreCalculus
Logarithm and Exponential Functions
Continue learning Log properties and using in problems p. 188 - 201
Example 8 p. 192
Graphs of log functions p. 190 - 191
Example 10, 11 p. 184
HW p. 203 (9, 15, 23-37ODD) + videos below
Bridge Math
Adding and subtracting, multiplying and dividing rational expressions
Review meaning of rational number/expression (fractions)
review multiplying and adding rational numbers
Relate those examples to examples with rational expressions (simplify after factoring, etc)
Work problems from the following worksheets: Mult. & Div Add & Subt.
Geometry
Pythagorean word problems
Work Problems from p.327-329 and from this: PDF
Logarithm and Exponential Functions
Continue learning Log properties and using in problems p. 188 - 201
Example 8 p. 192
Graphs of log functions p. 190 - 191
Example 10, 11 p. 184
HW p. 203 (9, 15, 23-37ODD) + videos below
Bridge Math
Adding and subtracting, multiplying and dividing rational expressions
Review meaning of rational number/expression (fractions)
review multiplying and adding rational numbers
Relate those examples to examples with rational expressions (simplify after factoring, etc)
Work problems from the following worksheets: Mult. & Div Add & Subt.
Geometry
Pythagorean word problems
Work Problems from p.327-329 and from this: PDF
Thursday, September 3, 2015
Thursday Sep 03 2015
PreCalculus
FIre drill and pictures day. Since we are studying solving equations involving the natural number, e, and logarithms, that we learn more about e and it's properties.
Bridge Math
(GM)
Solving Quadratic equations in standard for by graphing.
Note: some equations aren't in standard form. Work examples were you algebraically put the epression in standard form.
Sketch graph, and locate the zeros of each equation...
Problems used to solve graphically: PDF
Geometry
Warm Up p. 319 #33, 34, 35 (Circle word problems)
5.4 The Pythagorean Theorem p. 321
Notes p. 323 - 325
Ladder problem p.323
Classwork p. 323 14-33
FIre drill and pictures day. Since we are studying solving equations involving the natural number, e, and logarithms, that we learn more about e and it's properties.
Bridge Math
(GM)
Solving Quadratic equations in standard for by graphing.
Note: some equations aren't in standard form. Work examples were you algebraically put the epression in standard form.
Sketch graph, and locate the zeros of each equation...
Problems used to solve graphically: PDF
Geometry
Warm Up p. 319 #33, 34, 35 (Circle word problems)
5.4 The Pythagorean Theorem p. 321
Notes p. 323 - 325
Ladder problem p.323
Classwork p. 323 14-33
Wednesday, September 2, 2015
Wednesday Sep 02 2015
PreCalculus
3.1 Exponential and Logarithmic Functions p. 175
Start with exponential function 2^x = 17. How do we get the x "out" of the exponent area and solve??
Enter Exponential and Exp. Functions. They are Inverse Functions and thus "undo" one another. So the log or ln functions can be used to "undo" an exponential function and solve for x.
Homework:
Bridge Math
Repeat Tuesday's lesson since class was ended so students could sign up for TN Promise
Geometry
GM
p310 46, 47 for Warmup -- determine pattern for sidle lengths and Max area for triangles, Parall.
5.3 Circumference and Area of Circle p. 314
Define Circumference/Area of Circle
Classwork: p.317 (8-29)
Homework Below:
3.1 Exponential and Logarithmic Functions p. 175
Start with exponential function 2^x = 17. How do we get the x "out" of the exponent area and solve??
Enter Exponential and Exp. Functions. They are Inverse Functions and thus "undo" one another. So the log or ln functions can be used to "undo" an exponential function and solve for x.
Homework:
Bridge Math
Repeat Tuesday's lesson since class was ended so students could sign up for TN Promise
Geometry
GM
p310 46, 47 for Warmup -- determine pattern for sidle lengths and Max area for triangles, Parall.
5.3 Circumference and Area of Circle p. 314
Define Circumference/Area of Circle
Classwork: p.317 (8-29)
Homework Below:
Tuesday, September 1, 2015
Tuesday Sep 01 2015
PreCalculus
Work review problems for Quiz
Work two examples- Factorization of Polynomial Function: One with all Real Solutions, One with Complex Solutions & One Real Solution
Bridge Math
W-GM 2(Graphing Mathematics)
Graphing Quadratics...
Watch Intro to Quadratics video (standard and vertex form)
Work problems from overhead - Problems ( PDF )
Note: Class was stopped just after video as students were signed up for TN Promise
Geometry
Area of Triangles, Trapezoids and Parallelograms p.303
Warm up p.301 # 39
Work/check/correct
Copy formulas for area p. 303 - 306
Discuss Altitudes for the various figures and how it plays into area
Show that a triangle is half a rectangle thus 1/2 the area...
Show a trapezoid has two bases so you have to average them...
Work area problems with each
problems p. 308/309 (10 - 34)
word problems as warm up tomorrow
Work review problems for Quiz
Work two examples- Factorization of Polynomial Function: One with all Real Solutions, One with Complex Solutions & One Real Solution
Bridge Math
W-GM 2(Graphing Mathematics)
Graphing Quadratics...
Watch Intro to Quadratics video (standard and vertex form)
Work problems from overhead - Problems ( PDF )
Note: Class was stopped just after video as students were signed up for TN Promise
Geometry
Area of Triangles, Trapezoids and Parallelograms p.303
Warm up p.301 # 39
Work/check/correct
Copy formulas for area p. 303 - 306
Discuss Altitudes for the various figures and how it plays into area
Show that a triangle is half a rectangle thus 1/2 the area...
Show a trapezoid has two bases so you have to average them...
Work area problems with each
problems p. 308/309 (10 - 34)
word problems as warm up tomorrow
Monday, August 31, 2015
Monday August 31 2015
PreCalculus
Work through homework problem p. 141 #48
Find VA, HA, Domain, Range, Relative max/min for the following:
p.149 # 16, 18, 31
Problems 16, 18 worked, PDF
Bridge Math
Discuss recoil of a .22 vs a shotgun...
What is the difference? What makes them different?
Show class formula for finding recoil - 8 variables.
Ask for the slope, etc. Why can't we tell? How did they get all those variables.
Remember the slopw intercept formula. It's much simpler. Lets see if we can figure out how to get the formula of a line from a table (experimental date.)
Work on the attached document on the board; check.
Worked problems
Geometry
5.1 Perimeter and Area p.292
Why do we need to know perimeter and area? Geometry means "earth measure"... so what would early civilizations need to know about the earth?
Focus on food... they had to know how much feed was raised on each field and how much food each person needed. This need to feed the populace was one of the top three things they needed to know.
You need to know the area of a field to determine food production and the distance around it to fence out the critters.
Definitions p.292 - 298
Work misc examples
Work 299 (9-18, 30-34)
Work through homework problem p. 141 #48
Find VA, HA, Domain, Range, Relative max/min for the following:
p.149 # 16, 18, 31
Problems 16, 18 worked, PDF
Bridge Math
Discuss recoil of a .22 vs a shotgun...
What is the difference? What makes them different?
Show class formula for finding recoil - 8 variables.
Ask for the slope, etc. Why can't we tell? How did they get all those variables.
Remember the slopw intercept formula. It's much simpler. Lets see if we can figure out how to get the formula of a line from a table (experimental date.)
Work on the attached document on the board; check.
Worked problems
Geometry
5.1 Perimeter and Area p.292
Why do we need to know perimeter and area? Geometry means "earth measure"... so what would early civilizations need to know about the earth?
Focus on food... they had to know how much feed was raised on each field and how much food each person needed. This need to feed the populace was one of the top three things they needed to know.
You need to know the area of a field to determine food production and the distance around it to fence out the critters.
Definitions p.292 - 298
Work misc examples
Work 299 (9-18, 30-34)
Wednesday, August 26, 2015
Wendnesday August 26 2015
PreCalc
2.5 Fundamental Theorem of Algebra p.135
Work thru select examples p 135 - p. 139
Finding Real and Complex Zeros
Work through examples and refer to rules in section as well as tie-in to complex numbers.
p. 140 (1,3,5,6,11,14,45,47)
Bridge Math
Geometry
4.5 Proving Properties of Quadrilaterals p. 243
Parallelogram Theorems p. 247, 248, 249, 250
Diagonal divides Parallelogram into two congruent triangles
-----
Proof: Opposite sides of parallelogram congruent
Work p. 248-249 (42-48 & 49-59)
2.5 Fundamental Theorem of Algebra p.135
Work thru select examples p 135 - p. 139
Finding Real and Complex Zeros
Work through examples and refer to rules in section as well as tie-in to complex numbers.
p. 140 (1,3,5,6,11,14,45,47)
Bridge Math
Geometry
4.5 Proving Properties of Quadrilaterals p. 243
Parallelogram Theorems p. 247, 248, 249, 250
Diagonal divides Parallelogram into two congruent triangles
-----
Proof: Opposite sides of parallelogram congruent
-----
Work p. 248-249 (42-48 & 49-59)
Monday, August 24, 2015
Monday August 24, 2014
PreCalculus
2.4 Complex Numbers p. 127
Work problems from last lesson
Notes and terms p. 127 - p.132.
What are Complex Numbers?
-----
Common Operations With Complex Numbers
-----
Work examples from text
Work p. 133 (15-35; 65,66) Read page 77, 78 for tomorrow
Bridge Math
Statistics
Discuss measures of central tendency, which ones are best in which situations, and how to determine if your data can be accurately described through statistics.
Mean, Media, Mode
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Work problems from overhead using TI Inspire
Geometry
4.2 Trianbgle Congruance p. 217
Proving Triangle Congruence using SSS, SAS, ASA,
Vocabulary of congruance
Triangle Congruance Postulates
-----
Work p.221 (5-19, 33, 35)
2.4 Complex Numbers p. 127
Work problems from last lesson
Notes and terms p. 127 - p.132.
What are Complex Numbers?
-----
Common Operations With Complex Numbers
-----
Work examples from text
Work p. 133 (15-35; 65,66) Read page 77, 78 for tomorrow
Bridge Math
Statistics
Discuss measures of central tendency, which ones are best in which situations, and how to determine if your data can be accurately described through statistics.
Mean, Media, Mode
-----
Work problems from overhead using TI Inspire
Geometry
4.2 Trianbgle Congruance p. 217
Proving Triangle Congruence using SSS, SAS, ASA,
Vocabulary of congruance
Triangle Congruance Postulates
-----
Work p.221 (5-19, 33, 35)
Friday, August 21, 2015
Friday August 10 2015
PreCalculus
Review Polynomial Long Division and Synthetic Division
In Class, work and check p. 123 (1-12) Then (13 - 16)
Bridge Math
Continue Solving Multi Step Equations - now with fractions
Make note of Distributive Property,
Geometry
Introduction to Triangle Congruence...
Vertical Angles...
Properties of Parallel Lines and Traversals
Review Polynomial Long Division and Synthetic Division
In Class, work and check p. 123 (1-12) Then (13 - 16)
Bridge Math
Continue Solving Multi Step Equations - now with fractions
Make note of Distributive Property,
Geometry
Introduction to Triangle Congruence...
Vertical Angles...
Properties of Parallel Lines and Traversals
Thursday, August 20, 2015
Thursday August 20, 2015
PreCalculus
Textbook; Work problems from Yesterday on board (page 95-97), adding 65 and 66.
Illustrate relationship between an equations solution, it's "zeros," and the x-intercepts of a graph.
Note the max number of "zeros" or solutions of an equation matches the highest exponent...
(use linear thru x to the 4th power graphs crossing the x axis various ways as examples)
Homework below:
----------
Leading Coefficient Test
LCT sung to the tune of "what I really want." Yep. Not kidding...
End Behavior of a Polynomial
Polynomial Long Division
Synthetic (polynomial) Division
Bridge Math
Finish working the remainder of the Multi-Step Equation Problems from yesterday.
Work on board and check.
Geometry
Rotationsl Symmetry
Watch video and discuss. Think of other examples. Make note of new vocabulary/terminology.
Test Review Page 75 (1-18)
Surprise! I'm picking 10 of the 18 to grade... that was the Chapter One Test!!!
Textbook; Work problems from Yesterday on board (page 95-97), adding 65 and 66.
Illustrate relationship between an equations solution, it's "zeros," and the x-intercepts of a graph.
Note the max number of "zeros" or solutions of an equation matches the highest exponent...
(use linear thru x to the 4th power graphs crossing the x axis various ways as examples)
Homework below:
----------
Leading Coefficient Test
LCT sung to the tune of "what I really want." Yep. Not kidding...
End Behavior of a Polynomial
Polynomial Long Division
Synthetic (polynomial) Division
Bridge Math
Finish working the remainder of the Multi-Step Equation Problems from yesterday.
Work on board and check.
Geometry
Rotationsl Symmetry
Watch video and discuss. Think of other examples. Make note of new vocabulary/terminology.
Test Review Page 75 (1-18)
Surprise! I'm picking 10 of the 18 to grade... that was the Chapter One Test!!!
Wednesday, August 19, 2015
Wednesday August 19, 2015
Precalc
Review Completing the Square
Review Video from yesterday's lesson
------
-----
Homework Text, Page 95-97 (1-8; 27-31; 43, 44, 63, 64)
Bridge Math
Multi-Step Equations
Review problems worked and checked using Video 01
Problems 01
Problems 02
Geometry
Origami Project p. 68-69 (40 minutes)
-----
-----
Chapter Review p. 71 - 74 (1,2,4,7, 9-12, 21-28)
Review Completing the Square
Review Video from yesterday's lesson
------
-----
Homework Text, Page 95-97 (1-8; 27-31; 43, 44, 63, 64)
Bridge Math
Multi-Step Equations
Review problems worked and checked using Video 01
Problems 01
Problems 02
Geometry
Origami Project p. 68-69 (40 minutes)
-----
-----
Chapter Review p. 71 - 74 (1,2,4,7, 9-12, 21-28)
Tuesday, August 18, 2015
Tuesday August 18, 2015
Precalculus
Chapter 2 - Polynomial and Rational Functions
Quadratic Functiona
What they look like :
-----
-----
Converting to Vertex Form:
-----
-----
How to find the vertex:
-----
-----
Completing the Square:
-----
-----
Multiple examples:
-----
-----
Bridge Math
Continue Scatterplots and Linear Regression.
Review main points from yesterday.
Work from following : Problems
Work, Check, Correct.
Geometry
Transformations, continued
Reflections about axis and lines
Review yesterdays topics
Video introduction and examples
-----
-----
Page 64 (8-30; 44, 45, 48)
Chapter 2 - Polynomial and Rational Functions
Quadratic Functiona
What they look like :
-----
-----
Converting to Vertex Form:
-----
-----
How to find the vertex:
-----
-----
Completing the Square:
-----
-----
Multiple examples:
-----
-----
Bridge Math
Continue Scatterplots and Linear Regression.
Review main points from yesterday.
Work from following : Problems
Work, Check, Correct.
Geometry
Transformations, continued
Reflections about axis and lines
Review yesterdays topics
Video introduction and examples
-----
-----
Page 64 (8-30; 44, 45, 48)
Monday, August 17, 2015
Monday, August 17, 2015
PreCalculus
1.7 Linear Models and Scatter Plots p.72
Video Example 01
-----
-----
P. 72 Example 01 - 04
p. 77 (2-12)
--------------------------
Bridge Math
M-NG 1,2
33. Scatter Plots, Correlation, Regression Lines p. 446
Video Example
-----
-----
Example on page 446, Example 2 p. 450
Entering spreadsheet (list) data into TI Inspire calc
Labeling Columns
Using Stat Functions
Finding line of best fit (slope - intercept form
Finding "r" correlation coefficient
Graphing Scatter Plot of Data
Graphing line of best fit along with Scatter Plot
Work and check (6, 8) p. 454
Continue problems 7, 9-30 p. 456 on Tuesday
--------------------------
Geometry
G-CO 2
Continue Transformations
Work 5 Translatons with coordinates from board, check
Video Example 01 Rotation 90 Degrees
-----
-----
Video Example 02 Rotation 180 Degrees
-----
-----
What is the rule for rotating 90 degrees Clockwise? 90 degreed CCW? Rotating 180 degrees?
Two 90 degrees "makes" 180 degrees. Does the rule for two 90 degree rotations create the rule for 180?
Worksheet
Finish 1-8 from the worksheet on overhead,
p. 64 (8-16) HW from textbook.
1.7 Linear Models and Scatter Plots p.72
Video Example 01
-----
-----
P. 72 Example 01 - 04
p. 77 (2-12)
--------------------------
Bridge Math
M-NG 1,2
33. Scatter Plots, Correlation, Regression Lines p. 446
Video Example
-----
-----
Example on page 446, Example 2 p. 450
Entering spreadsheet (list) data into TI Inspire calc
Labeling Columns
Using Stat Functions
Finding line of best fit (slope - intercept form
Finding "r" correlation coefficient
Graphing Scatter Plot of Data
Graphing line of best fit along with Scatter Plot
Work and check (6, 8) p. 454
Continue problems 7, 9-30 p. 456 on Tuesday
--------------------------
Geometry
G-CO 2
Continue Transformations
Work 5 Translatons with coordinates from board, check
Video Example 01 Rotation 90 Degrees
-----
-----
Video Example 02 Rotation 180 Degrees
-----
-----
What is the rule for rotating 90 degrees Clockwise? 90 degreed CCW? Rotating 180 degrees?
Two 90 degrees "makes" 180 degrees. Does the rule for two 90 degree rotations create the rule for 180?
Worksheet
Finish 1-8 from the worksheet on overhead,
p. 64 (8-16) HW from textbook.
Thursday, August 13, 2015
Thursday August 13, 2015
Behold the power of cheese.
----
----
Precalculus
Inverse Function
VIdeo 01 Homework
----
----
VIdeo 02 Inverse of a Function
----
----
-----
Bridge Math
Solving absolute value equations and inequalities
Solving absolute value equations
----
----
PDF of problems
Solving absolute value inequalities
-----
-----
PDF of problems
-----
Geometry
How to use a Protractor
-----
-----
-----
-----
Angle Addition Postulate
-----
-----
Example with algebraic expression
-----
-----
In class problems p 30-33 (8-56)
Homework: Video - Geometric Transformations
-----
-----
----
----
Precalculus
Inverse Function
VIdeo 01 Homework
----
----
VIdeo 02 Inverse of a Function
----
----
-----
Bridge Math
Solving absolute value equations and inequalities
Solving absolute value equations
----
----
PDF of problems
Solving absolute value inequalities
-----
-----
PDF of problems
-----
Geometry
How to use a Protractor
-----
-----
-----
-----
Angle Addition Postulate
-----
-----
Example with algebraic expression
-----
-----
In class problems p 30-33 (8-56)
Homework: Video - Geometric Transformations
-----
-----
Thursday, August 6, 2015
Monday August 10, 2015
PreCalc
1.3 Graphs of Functions p. 30-34
Domain and Range
Video 1.3.1
----------
----------
Video 1.3.2
----------
---------
Video 1.3.3
Increasing and Decreasing Functions, Maxima and Minima (relative)
--------
--------
Video 1.3.4
Even and Odd Functions
---------
---------
---------
Bridge Math
Common Linear Functions and their Properties
---------
Video 1.1
Slope intercept form - constant slope from a table
---------
Video 1.2
Recognizing Linear Functions
---------
Video 1.3
Absolute Value Functions and their Graphs
---------
---------
Geometry
Building Blocks of Geometry
---------
Video 1.1.1 Points Lines, Colinnear Points, Planes
---------
Video 1.1.2 Rays
---------
Video 1.1.3 Angles
---------
1.3 Graphs of Functions p. 30-34
Domain and Range
Video 1.3.1
----------
----------
Video 1.3.2
----------
---------
Video 1.3.3
Increasing and Decreasing Functions, Maxima and Minima (relative)
--------
--------
Video 1.3.4
Even and Odd Functions
---------
---------
---------
Bridge Math
Common Linear Functions and their Properties
---------
Video 1.1
Slope intercept form - constant slope from a table
---------
Video 1.2
Recognizing Linear Functions
---------
Video 1.3
Absolute Value Functions and their Graphs
---------
---------
Geometry
Building Blocks of Geometry
---------
Video 1.1.1 Points Lines, Colinnear Points, Planes
---------
Video 1.1.2 Rays
---------
Video 1.1.3 Angles
---------
Wednesday, May 13, 2015
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