Algebra 2A - Fall 2012

Mr. Bujak


In an effort to be totally transparent and to support students 24/7/365.25, this volunteer-maintained and optional area is meant to be a collection of resources during the Fall 2012 semester "Algebra 2A" 0.5 credit course at Hope Charter High School. Applicable resources are also posted with each assessment in Power School Gradebook.

Algebra 2A Syllabus (Fall 2012)

Algebra 2 Curriculum Framework:
  • MODULE 1 (Algebra 2A) — Number Systems and Non-Linear Expressions & Equations - Algebra 2A course material (Google Drive)- also co-hosted on the \\hcsweb\filesharing HOPE shared network drive
  • MODULE 2 (Algebra 2B) — Functions and Data Analysis

We have a class set of Casio fx300MS calculators - manual.
fx300ms_image.jpg
Casio fx300MS calculator


Algebra_2.Holt,_Rinehart,_and_Winston.2003.jpg
Textbook: Algebra 2, Holt, Rinehart and Winston, 2003, ISBN 0-03-066054-8

There is also a 0.25-inch Algebra 2 Practice Workbook, ISBN 0-03-054084-4, with "Practice" worksheets. Other worksheets will be provided to the students contemporaneously. These are provided below as links as are other appropriate worksheets and other resources for that concept/topic; including, but not limited to Warm-Ups, PowerPoint slides, scanned teacher notes generated during class, short videos, supporting Websites, etc.

All assignments will also have a reference link here in the applicable PowerSchool Gradebook daily assignment description.






HOPE Charter School calendar


SCHEDULE
Unit Topic
(may include)
Length
(weeks)
Calendar Dates(includes daysnot spent onthe Unit such as
holidays and
standardized
testing days)
Textbook Reference
(linked to folder with that section's worksheets)
Standards,
Anchors,
Eligible Content
Non-Linear Expressions
3
Sept 6 - Sept 18

Sept 19 - Sept 20
(4Sight Testing)

Sept 20 - Oct 18
Chapter 2 -
Numbers and Functions

Chapter 6 -
Exponential and Logarithmic Functions

Chapter 8 -
Rational Functions and Radical Functions
  • §8.3 Multiplying and Dividing Rational Expressions
  • §8.4 Adding and Subtracting Rational Expressions
  • §8.5 Solving Rational Equations and Inequalities
  • §8.6 Rational Expressions and Radical Functions
.
Standards:
  • 2.1.A2.D, 2.2.A2.C, A2.1.2.1.2, A2.1.2.1.1, 2.1.A2.F, A2.1.2.1.4

Anchors:
  • A2.1.2.1 Use exponents, roots and/or absolute values to represent equivalent forms or to solve problems.

Eligible Content:
  • A2.1.2.1.1 Use exponential expressions to represent rational numbers.
  • A2..1.2.1.2 Simplify/evaluate expressions involving positive and negative exponents and/or roots (may contain all types of real numbers—exponents should not exceed power of 10).
  • A2..1.2.1.3Simplify/evaluate expressions involving multiplying with exponents, Note: Limit to rational exponents.
  • A2..1.2.1.4 Simplify or evaluate expressions involving logarithms and exponents.
.
Solving Equations
2

Chapter 1 -
Data and Linear Representations
.
Standards:
2.11.A2.B, 2.1.A2.F, 2.8.A2.B, 2.8.A2.E,
2.8.A2.F, A2.1.3.1.2, A2.1.3.1.4, A2.1.3.1.3
Anchors:
A2.1.2.1, A2.1.3.1
Eligible Content:
A2..1.3.1.2, A2..1.3.1.3, A2..1.3.1.4
.
Solving Formulas
2

Not in textbook, Use real world
geometric and scientific formulas
Standards:
2.3.A2.C, 2.3.A2.E, A2.1.3.2.2, A2.1.3.2.1A2.1.3.1.3
Anchors:
A2.1.3.2
Eligible Content:
A2..1.3.2.1, A2..1.3.2.2
Polynomials
3

Chapter 7 - Polynomial Functions (all sections)
.
Standards:
2.1.A2.B, A2.1.2.2.2, A2.1.2.2.1
Anchors:
A2.1.2.2
Eligible Content:
A2.1.2.2.1, A2.1.2.2.2
Quadratic Equations
4
incorporated into:
"Polynomials" unit (above)
and

"Operations with Complex Numbers"
unit (below)
Chapter 5 -
Quadratic Functions
.
Standards:
2.8.A2.B, 2.8.A2.E, 2.8.A2.F, A2.1.3.1.1
Anchors:
A2.1.3.1
Eligible Content:
A2..1.3.1.1
.
Operations with Complex Numbers
2

Chapter 5 -
Quadratic Functions
Standards:
2.1.A2.A, 2.2.A2.C, A2.1.1.1.2, A2.1.1.1.1,
A2.1.1.2.1, 2.1.1.2.2
Anchors:
A2.1.1.1, A2.1.1.2
Eligible Content:
A2..1.1.1.1, A2..1.1.1.1, A2..1.1.2.1, A2..1.1.2.1
.


SECTIONAL STUDY WORKSHEET PACKETS

Each textbook section, such as §7.4 Solving Polynomial Equations, will start with a worksheet packet provided to each student to use throughout that section, inside and outside the class.
The typical packet arrangement including all answers will be:
Order
Name
Filename
1
Lesson Opener
LOTrans.pdf
2
Examples (from textbook)
EXTrans.pdf
3
Student Study Guide
STUDY.pdf
4
Reteaching
RETEACH.pdf
5
Practice
PRACTICE.pdf (and PWAK.pdf) .
6
Problem Solving/Critical Thinking
PROBLEM.pdf
7
Quick Warm-Up and Lesson Quiz .
QWTrans.pdf
8
Enrichment (optional)
ENRICH.pdf
If your computer is inside the HOPE Charter School network, then all of the worksheets for all of the chapter sections are available on the \\hcsweb/filesharing HOPE shared network drive.
Outside of the HOPE network, these are available at ___. Links are also provided to chapter sections below, along with specific worksheets, and worksheet packets (by chapter and section).



ACTIVITIES (PLANNED and PAST) in REVERSE CHRONOLOGICAL ORDER
Date
Concept/Topic
Teacher Notes
Handout(s) / Information
Homework (due today)
Supportive Artifacts
(could be used to learn more and explore this topic)









Algebra 2A comprehensive final exam








1/16


Martin Luther King, Jr. Holiday


1/13
Review

WU (mediafire)

WU

Review for comprehensive semester final exam


1/12
Review

WU (mediafire)

WU

Review for comprehensive semester final exam


1/11
Review

Mr. Bujak out
3 worksheets (4Sight)
Combinations (mediafire) - Combinations
Inequalities 1 (mediafire) - Inequalities 1
Inequalities 2 (mediafire) - Inequalities 2
.


1/10
Complex Numbers

§5.6 Complex Numbers
Quiz/Test
§5.6 Reteaching worksheet (mediafire)

§5.6 Reteaching worksheet: #4,7,10,12,16

1/9
Complex Numbers
computer not available, no document camera notes
Review §5.6 Complex Numbers

Teacher led review of multiple "complex number" problems.
Independent Practice:
§5.6 Reteaching worksheet: #5,8,11,13,15,17
.

Review of complex numbers:
www.khanacademy.org/search?
page_search_query=complex+numbers
1/6
Complex Numbers
scanned teacher class pages from document camera
§5.6 Complex Numbers
§5.6 Quick Warm-Up worksheet #2

§5.6 Lesson Quiz worksheet #6

§5.6 Enrichment worksheet #2,5

1/5
Complex Numbers
scanned teacher class pages from document camera
§5.6 Complex Numbers
Graphing complex numbers.
Absolute value of complex numbers.
§5.6
Student Study Guide worksheet #11

§5.6 Practice worksheet #13,15,23,26
Graphing complex numbers

Absolute Value of complex numbers
www.mathwords.com/a/absolute_value_of_a_
complex_number.htm
1/4
Complex Numbers
scanned teacher class pages from document camera
.
§5.6 Complex Numbers
Dividing complex numbers
§5.6 Practice worksheet
#1,7,11,21
Dividing complex numbers:
www.khanacademy.org/video/dividing-complex-
numbers?playlist=Developmental+Math+3

Complex Conjugates:
http://mathandmultimedia.com/2012/02/02/complex-
conjugates/
1/3
Complex Numbers
scanned teacher class pages from document camera
.
§5.6 Complex Numbers
Quadratic equations that lead to non-integer factorization
--> quadratic formula.
Quadratics that have no real roots --> complex roots.
Discriminant of quadratic formula indicates the type of roots.
Adding, subtracting, multiplying (conjugate) complex numbers.
Polynomials take home test
Humor - April Fool's Joke:
www.youtube.com/watch?NR=1&feature=fvwp
&v=aP4fWMLofvo

Quadratic formual (song) -
www.iamlodge.com/beans//?p=115

Intro to Quadratic Equation:
www.khanacademy.org/video/introduction-to-the-
quadratic-equation?playlist=Algebra

Discriminant
www.youtube.com/watch?v=03JgNmaqFDw

Adding complex numbers:
www.khanacademy.org/video/adding-complex-numbers?playlist=Developmental+Math+3

Subtracting complex numbers:
www.khanacademy.org/video/subtracting-
complex-numbers?playlist=Developmental+Math+3

Multiplying complex numbers:
www.khanacademy.org/video/multiplying-
complex-numbers?playlist=Developmental+Math+3
12/22
Complex Numbers
scanned teacher class pages from document camera
.
§5.6 Complex Numbers (very short introduction)

What are imaginary numbers?
http://mathandmultimedia.com/2012/01/24/what-are-
imaginary-numbers/

Khan Academy - Complex Numbers Part 1:
www.youtube.com/watch?v=kpywdu1afas

Khan Academy - Complex Numbers Part 1:
www.youtube.com/watch?NR=1
&v=bPqB9a1uk_8&feature=fvwp

www.mathopolis.com/questions/q.php?id=274

TINspire with complex numbers:
www.youtube.com/watch?v=iLKNQi86j2Y
12/21

scanned teacher class pages from document camera
.
quick review for take home (over Christams Break) test


12/20
Counting, Permutations, Combinations
scanned teacher class pages from document camera
presentation, worksheet
<none>
Combinations/Permutations:
www.mathsisfun.com/combinatorics/
combinations-permutations.html

Permutations
www.mathwarehouse.com/probability/permutation.php

Combinations:
www.mathwarehouse.com/probability/combination.php
.

Polynomials: multiplying (distributing), dividing, factoring

Test - all of chapter 7 - comprehensive problem after
problem distributing,
factoring: taking out a GCF (monomial), simple
trinomial ("a" equals 1), trinomial with "a" not equal 1,
box method, expanding, groupng, difference of two
squares, sum&difference of two cubes, quadratic
formula (with real and complex roots), Factor Theorem,
Remainder Theorem, Rational Root Theorem,
long division, synthetic division.
.
remainder of unfinished problems from 12/16 in-class group quiz (review)
Introduction to the Quadratic Formula:
www.khanacademy.org/video/introduction-
to-the-quadratic-equation?playlist=Algebra
12/16
Quiz
Review
.

Quiz - Review for Test with group quiz - hand in solutions,
finish the others for homework due Monday 12/19


12/15





12/14


worksheet
.


12/13


§7.5 Zeros of Polynomial Functions
.


12/12


§7.5 Zeros of Polynomial Functions
.


12/9


§7.5 Zeros of Polynomial Functions

How many roots? -
http://letsplaymath.net/2011/12/01/
understanding-algebra-how-many-roots/
.
12/8
Quiz

§7.4 Solving Polynomial Equations
Quiz
.


12/7


§7.4 Solving Polynomial Equations
.


12/6
Quiz

§7.4 Solving Polynomial Equations
Quiz
.


12/5


§7.4 Solving Polynomial Equations
.


12/2

scanned teacher class pages from document camera
.
§7.3 Products and Factors of Polynomials


12/1
Factor Theorem, Dividing Polynomials: long division, synthetic division
.
scanned teacher class pages from document camera
§7.3 Products and Factors of Polynomials

Polynomial long division
http://nroc.remote-learner.net/mod/scorm/view.php
?id=19882

http://en.wikipedia.org/wiki/Synthetic_division
11/30
Multiplying Polynomials (distributing), Factoring Polynomials - common factors, sum and difference of two cubes
scanned teacher class pages from document camera
§7.3 Products and Factors of Polynomials

Factoring out GCF:
www.khanacademy.org/video/polynomial-
equations-in-factored-form?topic=worked-examples-2

General Quadratic factoring hints -
www.youtube.com/watch?v=ZQ-NRsWhOGI

Factoring polynomials (common factor, grouping)
www.youtube.com/watch?v=HinoXYey2n4

Factoring trinomial (quadratic) techniques:
Factoring by Decomposition/Grouping -
www.youtube.com/watch?v=RoeNm4LF9YQ

Box Method -
Ex 1 - www.youtube.com/watch?v=uJCZlbzX6u0
Ex 2: - www.youtube.com/watch?v=ljAq4RDJtt8
Ex 3 - www.youtube.com/watch?v=YFf7oDJp1pQ
Ex 4 - www.youtube.com/watch?v=-0_2gB9ReLU
Ex 5 - www.youtube.com/watch?v=Wfnwbx8hUTg
Ex 6 - www.youtube.com/watch?v=XlnTshUp35A
Ex 7 - www.youtube.com/watch?v=_87UHqwMjb4

Berry Method (not shown in class) -
www.youtube.com/watch?v=R3PFOPZJP5o

Completing the Square (not shown in class) -
www.youtube.com/watch?v=E7sry2T4ovQ
www.youtube.com/watch?v=xGOQYTo9AKY

Using Quadratic Formula -
www.youtube.com/watch?v=kuimoHMleug
.
11/29


worksheet
.


11/28


worksheet
.


11/25


Thanksgiving Break


11/24


Thanksgiving Break


11/23


§7.2 Polynomial Functions and Their Graphs
.


11/22


§7.1 An Introduction to Polynomials
&
§7.2 Polynomial Functions and Their Graphs
.


11/21


§7.1 An Introduction to Polynomials
.


11/18


Worksheet: Adding & Subtracting Rational
Expressions
.


11/17


Test
.


11/16





11/15





11/14





11/11





11/10





11/9





11/8





11/7





11/4
Test
.




11/3
Review
.

Review for Test
1.8 _
#,,

11/2
Solving Absolute-Value Equations and Inequalities
scanned teacher class pages from document camera - COMING SOON
.
§1.8 Solving Absolute-Value Equations and Inequalities
handout worksheets
1.7 Practice #5,8,9
Absolute value equalities:
www.youtube.com/watch?v=5oj7Jnr4gUo
www.youtube.com/watch?v=KWVHOqv8_tk

Absolute value in-equalities
www.youtube.com/watch?v=-BqRN135VaY

Absolute Value inequalities:
1. www.youtube.com/watch?v=iTV9CRmfA-w
2. www.youtube.com/watch?v=1tbve9nAq-Y
3. www.youtube.com/watch?v=SSWUbC9fQoQ
4. www.youtube.com/watch?v=FbJNtnthSR0
5. www.youtube.com/watch?v=Gx9qRfyKGxI
6. www.youtube.com/watch?v=wfFdzihH87s
7. www.youtube.com/watch?v=4u-s5mB6MDU
11/1
Introduction to Solving Inequalities
scanned teacher class pages from document camera - COMING SOON
.
§1.7 Introduction to Solving Inequalities
1.6 #2,6,12

10/31
Introduction to Solving Equations
scanned teacher class pages from document camera - COMING SOON
.
§1.6 Introduction to Solving Equations


10/28
Scatter Plot and Least-Squares Lines
scanned teacher class pages from document camera - COMING SOON
.



10/27
Scatter Plot and Least-Squares Lines
scanned teacher class pages from document camera - COMING SOON
.



10/26





10/25
Radical expressions:
rationalizing denominator
.


8.6 Practice #8,14

10/24
Radical expressions:
add, subtract, multiply, divide
scanned teacher class pages from document camera - COMING SOON
.
worksheet:
§8.6 Practice - COMING SOON


10/21
Review:
10/21 class work instructions

Solutions - coming soon.
10/21 classwork: 1-page handout instructions:

Textbook
Pages 525-526, Practice and Apply
#15, 22, 30 (only find inverse function, do not graph),
35 (only find inverse function, do not graph), 40, 45
Hints:
[1] For #22, factor by grouping: (3)(2)=6. What are factors
of 6 such that their sum is 7? It’s 6 and 1.

Solutions - coming soon.
.


10/20
Review:
10/20 class work instructions

Solutions - coming soon.
10/20 classwork: 1-page handout instructions:

Textbook
Page 509, Practice and Apply
#25, 35, 40
Hints:
[1] In adding or subtracting rational expressions, find a common denominator.
[2] May want to factor to reduce terms or simplify.

Pages 517-518, Practice and Apply
#10, 15, 30, 35,
Hints:
[1] In adding or subtracting rational expressions, find a common denominator.

Solutions - coming soon.
.


10/19
Review:

_
10/19 class work instructions

Solutions - coming soon.
10/19 classwork: 1-page handout instructions:

Textbook
Pages 502-503, Practice and Apply
#15, 20, 25, 30, 35
Hints:
[1] In multiplying rational expressions, find common
factors amongst the terms in the numerator and the terms
in the denominator.
[2] In dividing rational expressions, multiply the numerator
term(s) by the reciprocal of the denominator term.

Page 509, Practice and Apply
#15, 20
Hints:
[1] In adding or subtracting rational expressions, find a common denominator.
[2] May want to factor to reduce terms or simplify.

Solutions - coming soon.
.


10/18


Test (will not post)


10/17


Rational Expressions -
http://mrpilarski.wordpress.com/2010/03/16/
rational-exponents-and-radical-form
http://mrpilarski.wordpress.com/2010/03/16/
rational-exponents-and-radical-form
.


10/14
Quiz

Quiz - Domain of Radical Functions, Inverse of Quadratic Functions, Inverse of Radical Functions (will not post)
.


10/13
Review

Review

A review of radical notation and radical functions:
www.youtube.com/watch?NR=1&v=ANll0vDNNvY
.


10/12
Radical Expressions and Radical Functions

8.6 Radical Expressions and Radical Functions

Radical expressions
Khan (Simplifying Radical Expressions):
Simplifying Radical Expressions 1 - backup
Simplifying Radical Expressions 2 - backup
Simplifying Radical Expressions 3 - backup

Radical equations
[1] isolate the radical
[2] when you square (or cube or ...) you must check since extraneous solutions may have been introduced
www.youtube.com/watch?v=bnZlA3CN95E
Khan (Solving Radical Equations):
[1] www.youtube.com/watch?v=y4C81qAa3pY
[2] www.youtube.com/watch?v=b6WtwQddAcY
[3] www.youtube.com/watch?v=g6nGcnVB8BM
textbook page 526 #_, _
Yaymath:
www.youtube.com/watch?v=TQp-R0BFZfI
www.youtube.com/watch?NR=1&v=h5XXu1tijXo
www.youtube.com/watch?v=hclSMThq8yE

Radical equations:
www.youtube.com/watch?v=W_rv2B7w7lU - WMV - FLV
www.youtube.com/watch?v=e26DDsnK5Nk

www.mathcasts.org/mc/trf/ia/ch8/index.html?movie=7
www.mathcasts.org/mc/trf/ia/ch8/index.html?movie=8
www.mathcasts.org/mc/trf/ia/ch8/index.html?movie=9
extraneous solution:
www.mathcasts.org/mc/trf/ia/ch8/index.html?movie=10
not a solution:
www.mathcasts.org/mc/trf/ia/ch8/index.html?movie=11
two solutions:
www.mathcasts.org/mc/trf/ia/ch8/index.html?movie=12
www.mathcasts.org/mc/trf/ia/ch8/index.html?movie=14

.
10/11
Radical Expressions and Radical Functions
handout
worksheet

scanned teacher class pages
.
8.6 Radical Expressions and Radical Functions

Inverse of quadratic function with graph of function and its inverse.
They are "mirror" reflections of each other about y=x line.

Switch the domain (x) and range (y).
Linear:
f(x) = (x-3)/5 ==> g(x) = f^(-1)(x) = 5x+3
therefore
f(f^(-1)(x)) = (f o g)x) = x (i.e. line with slope 1)
www.youtube.com/watch?v=gmRoF_5OFrU
http://mrpilarski.wordpress.com/2010/04/01/
find-the-domain-of-a-function-and-its-inverse/
Part 1: www.youtube.com/watch?v=DsaJKV4M-vk
Part 2: www.youtube.com/watch?v=rM3fEdnAlpA

Quadratic:
y=x^2-3 for x >= 0 ==> g(x) = inverse = SQRT(x+3) for x>= -3
(f o g)x) = x (i.e. line with slope 1)
www.youtube.com/watch?v=-zZBBai4PDo
.
handout #2
Desmos Graphing Calculator
www.desmos.com/calculator

General properties of inverse functions:
www.youtube.com/watch?v=nSmFzOpxhbY

"How to teach the Inverse Function":
http://math4teaching.com/2012/03/04/
how-to-teach-the-inverse-function/
10/10


.


10/07
Radical Expressions and Radical Functions
handout

scanned teacher class pages
§8.6 Radical Expressions and Radical Functions

Domain of function.

Domain of radical function.
textbook page 526 #55,57
Desmos Graphing Calculator -pre-configured files:
intro: http://bit.ly/qrtwgy
intermediate: http://bit.ly/q8umG8

www.youtube.com/watch?v=6AVlDcLl_hs
www.youtube.com/watch?v=jwJbWAfZaf0
www.youtube.com/watch?v=p-wuW7DpDSE

Domain of Radical Function
www.youtube.com/watch?v=6AVlDcLl_hs
www.youtube.com/watch?v=uPXsadDymfA
www.youtube.com/watch?v=jAKO67PzaHI
.
10/06
Radical Expressions and Radical Functions
handout 3 (textbook pp 525-526)

scanned teacher class pages from document camera
.
§8.6 Radical Expressions and Radical Functions
&
§2.7 Transformations: Translation and Dilation of Functions

vertical translation up or down
horizontal translation right or left

vertical stretch or compression
horizontal stretch or compression

reflections
.

use NLVM Grapher:
http://nlvm.usu.edu/en/nav/frames_asid_109_
g_4_t_2.html?open=activities&from=category_
g_4_t_2.html

instructional tutorial on using NLVM's Graphers:
http://www.youtube.com/watch?v=1FIqCv9lRDg
10/05
Radical Expressions and Radical Functions
scanned teacher class pages from document camera
.
§8.6 Radical Expressions and Radical Functions
&
§2.7 Transformations: Translation and Dilation of Functions

vertical translation up or down
horizontal translation right or left

vertical stretch or compression
horizontal stretch or compression
.

use NLVM Grapher:
http://nlvm.usu.edu/en/nav/frames_asid_109_
g_4_t_2.html?open=activities&from=category_
g_4_t_2.html

instructional tutorial on using NLVM's Graphers:
http://www.youtube.com/watch?v=1FIqCv9lRDg

Transformation of Radical Function:
www.youtube.com/watch?v=EGxN0FTDdr8

Transformation of SQRT(x) - translation and dilation
http://www.youtube.com/watch?v=Ccq1aQDCfVE

Transformations -
http://www.youtube.com/watch?&v=Ny7o998PNhA

Summary of transformations (great) -
http://www.youtube.com/watch?v=An29CALYjAA

Desmos graphing calculator - https://www.desmos.com/calculator/-
10/04
Radical Expressions and Radical Functions
scanned teacher class pages from document camera
.
§8.6 Radical Expressions and Radical Functions
&
§2.7 Transformations: Translation and Dilation of Functions

vertical translation up or down
horizontal translation right or left

vertical stretch or compression
horizontal stretch or compression
.

use NLVM Grapher:
http://nlvm.usu.edu/en/nav/frames_asid_109_
g_4_t_2.html?open=activities&from=category_
g_4_t_2.html

instructional tutorial on using NLVM's Graphers:
http://www.youtube.com/watch?v=1FIqCv9lRDg
10/03
Test
.

Test


9/30
Review

Review
.


9/29
Review
scanned teacher class pages from document camera
.
Review


9/28
Solving Rational Equations and Inequalities
scanned teacher class pages from document camera
.
§8.5 Solving Rational Equations and Inequalities (continued)

Solve rational equations (continued).

Complex rational expressions.
.

Rational equations
www.mathcasts.org/mc/trf/ia/ch8/index.html?movie=7
www.mathcasts.org/mc/trf/ia/ch8/index.html?movie=8
www.mathcasts.org/mc/trf/ia/ch8/index.html?movie=9
9/27
Solving Rational Equations and Inequalities
scanned teacher class pages from document camera
§8.5 Solving Rational Equations and Inequalities

Solve rational equations.

Complex rational expressions.

www.mathcasts.org/mc/trf/ia/ch7/index.html?movie=27

Complex rational expressions:
www.youtube.com/watch?v=HgIgZ5xbpiU

Ex 1: www.youtube.com/watch?v=qcGQIMRCvsM
Ex 2: www.youtube.com/watch?v=4p2FN3ib7is
Ex 3: www.youtube.com/watch?v=uUDN0LTQihw
.
9/26
Adding and Subtracting Rational Expressions
scanned teacher class pages from document camera
§8.4 Adding and Subtracting Rational Expressions (continued)

Factoring polynomials of the form ax^2 + b x + c with 'a' not equal to 1 using "factoring by grouping"
WS #1: #2

WS #2: #2
Adding and subtractiong rational expressions:
www.mathcasts.org/mc/trf/ia/ch7/index.html?movie=4
www.mathcasts.org/mc/trf/ia/ch7/index.html?movie=5
www.mathcasts.org/mc/trf/ia/ch7/index.html?movie=6
www.mathcasts.org/mc/trf/ia/ch7/index.html?movie=25
www.mathcasts.org/mc/trf/ia/ch7/index.html?movie=26

quadratic where 'a' term not equal to 1:
www.youtube.com/watch?v=qy0uSglDxww
www.mathwarehouse.com/quadratic/
solve-quadratic-equation-by-factoring.php
www.mathtv.com/videos_by_topic (click on factoring)

multi-variable:
www.youtube.com/watch?v=KU6rNWjIZB4
www.youtube.com/watch?v=V0KYJf3WOK0
www.mathtv.com/videos_by_topic
(click on Rational Expressions)

www.onemathematicalcat.org/algebra_book/
online_problems/fac_tri_notone.htm
www.youtube.com/watch?v=TPU9TDOYPhI
.
9/23
Adding and Subtracting Rational Expressions

N.B. Periods 1 & 2: 4-Sight testing for 9th graders
.
scanned teacher class pages from document camera
8.4 Adding and Subtracting Rational Expressions

Factoring polynomials of the form ax^2 + b x + c with 'a' equal to 1
WS #1: #2

WS #2: #2

WS #3: #2
www.mathtv.com/videos_by_topic (click on factoring)

Difference of (perfect) squares
www.youtube.com/watch?v=AcCN_isD3PY
http://thefreemathtutor.com/
3015DifferenceofSquaresforPolynomials.html

www.mathtv.com/videos_by_topic
(click on Rational Expressions)

http://demonstrations.wolfram.com/
QuadraticEquationWithFactoredForm/
9/22
Multiplying and Dividing Rational Expressions

N.B. Periods 1 & 2: 4-Sight testing for 10th graders
N.B. personal document camera is broken - class done with conventional whiteboard. Teacher "whiteboard" notes and worksheet solutions will be coming shortly.
.
worksheet #1 Student Study Guide 6.7 Solving Equations
and Modeling (blank, with written notes), p 41
  • teacher led instruction and guided practice class work: Summary of exponential-Logarithmic Definitions and Properties, and #
  • independent practice: #

worksheet #2 Practice 6.6 The Natural Base,
e (blank, with written notes), p 40
  • teacher led instruction and guided practice class work: #
  • independent practice: #

worksheet #3 Lesson Quiz 6.6 The Natural Base,
e (blank, with written notes), p 157
  • teacher led instruction and guided practice class work: #
  • independent practice: #

multiplying and dividing rational expressions:
www.mathcasts.org/mc/trf/ia/ch7/index.html?movie=21
www.mathcasts.org/mc/trf/ia/ch7/index.html?movie=22
www.mathcasts.org/mc/trf/ia/ch7/index.html?movie=23
www.mathcasts.org/mc/trf/ia/ch7/index.html?movie=24

practice with exponential and logarithmic functions - www.biology.arizona.edu/biomath/tutorials/Log/
Practice.html

www.mathtv.com/videos_by_topic
(click on Rational Expressions)

Simplifying radical expressions
http://nroc.remote-learner.net/mod/scorm/view.php?id=1784
9/21





9/20
review and applications: Geology-Richter Scale (optional: Newton's Law of Cooling)

N.B. Periods 1 & 2: 4-Sight testing for 11th graders
N.B. personal document camera is broken - class done with conventional whiteboard. Teacher "whiteboard" notes and worksheet solutions will be coming shortly.
.
worksheet: Practice 6.7 Solving Equations and Modeling (blank, with written notes), p 41
  • teacher led instruction and guided practice class work: #1-8, 17
  • independent practice: #9,16

Newton's Law of cooling is written in exponential form and used in CSI to determine the approximate time of death - use
www.biology.arizona.edu/biomath/tutorials/
applications/Cooling.html for any warm or cold object that will move to ambient (room) temperature over time.
9/19
The Natural
Base, e
N.B. personal document camera is broken - class done with conventional whiteboard. Teacher "whiteboard" notes and worksheet solutions will be coming shortly.
worksheet #1 Practice 6.6 The Natural Base,
e (blank, with written notes), p 40
  • teacher led instruction and guided practice class work: #1,3,7,21,26
  • independent practice: #2,8,23,24

worksheet #2 Student Study Guide 6.7 Solving Equations
and Modeling (blank, with written notes), p 41
  • teacher led instruction and guided practice class work: Summary of exponential-Logarithmic Definitions and Properties, and #1,5 (Geology: Richter Scale for earthquakes)
  • independent practice: #3

worksheet #3 Lesson Quiz 6.6 The Natural Base,
e (blank, with written notes), p 157
  • teacher led instruction and guided practice class work: #7 (compound monthly and continuously)
  • independent practice: #9 (Carbon 14 dating)
.

http://en.wikipedia.org/wiki/Richter_magnitude_scale

www.biology.arizona.edu/biomath/tutorials/
applications/Population.html

www.biology.arizona.edu/biomath/tutorials/
applications/Carbon.html

Carbon 14 dating video #1, #2 - Khan Academy






__
logarithmic functions (§6.3)

exponential form <--> logarithmic form

review for test
.
PowerPoint

scanned teacher class pages from document camera
worksheet #1 Practice 6.3 Logarithmic Functions
(blank, with written notes), p 37 #1,3,4,7,9,13

worksheet #2 Problem Solving/Critical Thinking 6.3
Recognizing a Pattern (blank, with written notes) #1
WS #1: #2,12,15

WS #2: #2
www.analyzemath.com/logfunction/
logarithm_exponential.html

www.biology.arizona.edu/biomath/tutorials/
applications/Drug.html

www.biology.arizona.edu/biomath/tutorials/
applications/Allometry.html



.
.
CURRENT WEEK (BELOW)
.
.


10/12





10/11





10/10





10/9





10/8


School Hoiday - Off - Columbus Day


10/5





10/4


Test - §6.3 Exponential Functions ??


10/3





10/2





10/1





9/28





9/27





9/26





9/25





9/24
Exponential Functions (§6.2)

compound interest formula
PowerPoint

scanned teacher class pages from document camera
.
§6.2 Exponential Functions

worksheet #1 Practice 6.2 Exponential Functions
(blank, with written notes), p 36 #19,22,26

worksheet #2 Problem Solving/Critical Thinking 6.2
Variables in Interest Formulas (blank, with written notes),
p 36 #1
.
HW originally due 9/21 due next school day,;Mr. Bujak was out sick. on 9/21.
compound interest formula

compound interest
Examples 1
Examples 2

Exponential Function song -
www.iamlodge.com/beans/?p=114
9/21


Mr. Bujak out sick
Assigned work. to be handed into substitute.
HW due today will be examined the next school day, 9/24
.

9/20





9/19
Exponential Functions (§6.2)

4Sight standardized test - Mathematics - shortened class periods

worksheet (blank & with written notes): functions:
linear vs quadratics vs exponential, exponential growth
and decay (review)

linear function vs quadratic function vs exponential growth
function vs exponential decay function.

provided students with copied textbook page 367, went over:
  • Guided Skills Practice #1,2,3
  • Practice and Apply #1-26

linear function vs quadratic function vs exponential growth
function vs exponential decay function -
www.biology.arizona.edu/biomath/tutorials/Linear/Basics
_LinearFunctions.html
www.biology.arizona.edu/biomath/tutorials/Quadratic/
QuadFunctBasics.html
.

www.biology.arizona.edu/biomath/tutorials/
Linear/Problems.html
9/18
Exponential Growth and Decay (6.1)
scanned teacher class notes from document camera
bacterial growth -
www.biology.arizona.edu/biomath/tutorials/
Exponential/Intro.html

use www.analyzemath.com/expfunction/expfunction.html
to demonstrate the effect of varying variables on the
exponential graph (y-intercept, exponential growth,
exponential decay) and/or
www.shodor.org/interactivate/activities/DataFlyer

www.biology.arizona.edu/biomath/tutorials/applications/
Population.html
.

Great video clip on the exponential function"
www.youtube.com/watch?v=F-QA2rkpBSY

www.biology.arizona.edu/biomath/tutorials/
Exponential/GraphRep.html






9/17
Properties of Exponents (§2.2)

Test - §2.2 Properties of Exponents


9/14
Properties of Exponents (§2.2)




9/13
Properties of Exponents (§2.2)




9/12
Properties of Exponents (§2.2)


signed syllabus due 9/12

9/11
Properties of Exponents (§2.2)
scanned teacher class notes from document camera
.



9/10
Properties (§1.2)

introduction to exponents
PowerPoint

scanned teacher class pages from document camera
.

§1.2 Using Differences to Identify Patterns collection of worksheets packet handed out. See the example worksheets handed out Sectional Study Worksheet Packet table near the top of this Webpage. These packets include answers to all problems that I have additionally boxed to easily locate. This packet will be used extensively for all class work with additional material as needed. -LINK-
Simplifying expressions with exponents
http://nroc.remote-learner.net/mod/scorm/view.php?id=1778

nice tutorial videos:
www.algebasics.com/3way6.html
www.youtube.com/watch?v=RXrb35BUsbg
www.mathtv.com/videos_by_topic (click on exponents)
www.youtube.com/watch?v=RXrb35BUsbg

www.biology.arizona.edu/biomath/tutorials/
Exponential/Laws.html

www.mathgoodies.com/lessons/vol3/exponents.html
.
9/7
Operations with Numbers (§2.1)

classifying numbers, properties of real numbers
.
scanned teacher class pages from document camera
Type of real numbers - classifying real numbers

Order of operations

http://mathandmultimedia.com/2011/06/24/
irrational-numbers-as-decimals

Order of operations (PEMDAS)
www.youtube.com/embed/_mi_4GhfYtg
9/6
Operations with Numbers (§2.1)

classifying numbers, properties of real numbers,
.
scanned teacher class pages from document camera
Type of real numbers - classifying real numbers

Properties of Addition and Multiplication -LINK- to EXAMPLE.PDF

The Distributive Property -LINK TO EXAMPLE.PDF

"Fractions are not numbers"
http://math4teaching.com/2010/07/16/
fraction-is-not-a-number/

http://mathandmultimedia.com/2011/09/14/real-numbers
9/4-5
organizational logistics

syllabus

grading

make-up
.
index card: guess person
Explain syllabus, procedures, code of conduct, grading.

syllabus

make-up (for excused absences): "Guidelines for Students Making Up Work After Absence or Suspension" (Make-up Policy09-10.doc 09/10/2010)
syllabus handed out, back sheet of the signed syllabus due 9/12/2012


• Student Resources


• Graphing Calculators


• Videos (general, specific videos applicable to the math concept are indicated above with that topic)


BELOW NEEDS SOME ORGANIZATION
http://www.mathway.com/