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
Friday, September 4, 2015
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
-----
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)
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