Algebra+2A+-+Fall+2012

=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.

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

(may include) ||~ Length (weeks) ||~ Calendar Dates (includes days not spent on the Unit such as holidays and  standardized  testing days) ||~ Textbook Reference (linked to folder with that section's worksheets) ||~ Standards, Anchors, Eligible Content ||
 * SCHEDULE **
 * ~ Unit Topic
 * Non-Linear Expressions ||= 3 || Sept 6 - Sept 18

Sept 19 - Sept 20 (4Sight Testing)

Sept 20 - Oct 18 || Chapter 2 - Numbers and Functions
 * §2.1 Operations with Numbers
 * §2.2 Properties of Exponents

Chapter 6 - Exponential and Logarithmic Functions
 * §6.2 Exponential Functions
 * §6.3 Logarithmic Functions
 * §6.6 The Natural Base, e

Chapter 8 - Rational Functions and Radical Functions . ||< **Standards:**
 * §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
 * 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.

. || 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 . || 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 || . ||< 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 || ● "Polynomials" unit (above) and
 * 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..1.2.1.3**Simplify/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 -
 * §1.5 Scatter Plots and Least-Squares Lines
 * §1.6 Introduction to Solving Equations
 * §1.7 Introduction to Solving Inequalities
 * §1.8 Solving Absolute-Value Equations and Inequalities
 * Solving Formulas ||= 2 ||  || Not in textbook, Use real world
 * Polynomials ||= 3 ||  || Chapter 7 - Polynomial Functions (a ll sections)
 * §7.1 An Introduction to Polynomials
 * §7.2 Polynomial Functions and Their Graphs
 * §7.3 Products and Factors of Polynomials
 * §7.4 Solving Polynomial Equations
 * §7.5 Zeros of Polynomial Functions
 * Quadratic Equations ||= 4 || incorporated into:

● "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 . || Quadratic Functions 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 . ||
 * §5.1 Introduction to Quadratic Functions
 * §5.2 Introduction to Solving Quadratic Equations
 * §5.3 Factoring Quadratic Expressions
 * §5.4 Completing the Square
 * §5.5 The Quadratic Formula
 * Operations with Complex Numbers ||= 2 ||  || Chapter 5 -
 * §5.6 Quadratic Equations and Complex Numbers ||< Standards:


 * 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: 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).
 * ~ 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 ||

(could be used to learn more and explore this topic) ||
 * ACTIVITIES (PLANNED and PAST) in REVERSE CHRONOLOGICAL ORDER **
 * ~ Date ||~ Concept/Topic ||~ Teacher Notes ||~ Handout(s) / Information ||~ Homework (due today) ||~ Supportive Artifacts
 * ||  ||   || Algebra 2A comprehensive final exam ||   ||   ||
 * 1/16 ||  ||   || Martin Luther King, Jr. Holiday ||   ||   ||
 * 1/13 || Review ||  || WU (mediafire)
 * 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 ||  ||   || 3 worksheets (4Sight) Combinations (mediafire) - Combinations Inequalities 1 (mediafire) - Inequalities 1 Inequalities 2 (mediafire) - Inequalities 2 . ||  ||   || Quiz/Test || §5.6 Reteaching worksheet (mediafire)
 * 1/11 || Review ||  || Mr. Bujak out
 * 1/10 || Complex Numbers ||  || §5.6 Complex Numbers

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

§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 || . || §5.6 Complex Numbers Dividing complex numbers || §5.6 Practice worksheet www.khanacademy.org/video/dividing-complex- numbers?playlist=Developmental+Math+3
 * 1/4 || Complex Numbers || scanned teacher class pages from document camera
 * 1,7,11,21 || Dividing complex numbers:

Complex Conjugates: http://mathandmultimedia.com/2012/02/02/complex- conjugates/ || . || §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
 * 1/3 || Complex Numbers || scanned teacher class pages from document camera

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 || . || §5.6 Complex Numbers (very short introduction) ||  || What are imaginary numbers? http://mathandmultimedia.com/2012/01/24/what-are- imaginary-numbers/
 * 12/22 || Complex Numbers || scanned teacher class pages from document camera

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] || . || quick review for take home (over Christams Break) test ||  ||   || www.mathsisfun.com/combinatorics/ combinations-permutations.html
 * 12/21 ||  || scanned teacher class pages from document camera
 * 12/20 || Counting, Permutations, Combinations || scanned teacher class pages from document camera || presentation, worksheet || || Combinations/Permutations:

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

Combinations: www.mathwarehouse.com/probability/combination.php . || 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 || Review . ||  || Quiz - Review for Test with group quiz - hand in solutions, finish the others for homework due Monday 12/19 ||  ||   || . ||  ||   || . ||   ||   || . ||   ||   || http://letsplaymath.net/2011/12/01/ understanding-algebra-how-many-roots/ . || Quiz . ||  ||   || . ||   ||   || Quiz . ||  ||   || . ||   ||   || . || §7.3 Products and Factors of Polynomials ||   ||   || . || 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
 * || Polynomials: multiplying (distributing), dividing, factoring ||  || Test - all of chapter 7 - comprehensive problem after
 * 12/16 || Quiz
 * 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? -
 * 12/8 || Quiz ||  || §7.4 Solving Polynomial Equations
 * 12/7 ||  ||   || §7.4 Solving Polynomial Equations
 * 12/6 || Quiz ||  || §7.4 Solving Polynomial Equations
 * 12/5 ||  ||   || §7.4 Solving Polynomial Equations
 * 12/2 ||  || scanned teacher class pages from document camera
 * 12/1 || Factor Theorem, Dividing Polynomials: long division, synthetic division

@http://en.wikipedia.org/wiki/Synthetic_division || www.khanacademy.org/video/polynomial- equations-in-factored-form?topic=worked-examples-2
 * 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:

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 . || . ||  ||   || . ||   ||   || . ||   ||   || & §7.2 Polynomial Functions and Their Graphs . ||  ||   || . ||   ||   || Expressions . ||  ||   || . ||   ||   || . ||   ||   ||   ||   || . ||   || Review for Test || 1.8 _ . || §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
 * 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
 * 11/21 ||  ||   || §7.1 An Introduction to Polynomials
 * 11/18 ||  ||   || Worksheet: Adding & Subtracting Rational
 * 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
 * __,__, ||  ||
 * 11/2 || Solving Absolute-Value Equations and Inequalities || scanned teacher class pages from document camera - COMING SOON

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 || . || §1.7 Introduction to Solving Inequalities || 1.6 #2,6,12 ||  || . || §1.6 Introduction to Solving Equations ||  ||   || . ||  ||   ||   || . ||   ||   ||   || rationalizing denominator . ||  ||   || 8.6 Practice #8,14 ||   || add, subtract, multiply, divide || scanned teacher class pages from document camera - COMING SOON . || worksheet: §8.6 Practice - COMING SOON ||  ||   ||
 * 11/1 || Introduction to Solving Inequalities || scanned teacher class pages from document camera - COMING SOON
 * 10/31 || Introduction to Solving Equations || scanned teacher class pages from document camera - COMING SOON
 * 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:
 * 10/24 || Radical expressions:
 * 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 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.
 * 15, 22, 30 (only find inverse function, do not graph),

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 Hints: [1] In adding or subtracting rational expressions, find a common denominator. [2] May want to factor to reduce terms or simplify.
 * 25, 35, 40

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

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 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.
 * 15, 20, 25, 30, 35

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

Solutions - coming soon. . ||  ||   || http://mrpilarski.wordpress.com/2010/03/16/ rational-exponents-and-radical-form http://mrpilarski.wordpress.com/2010/03/16/ rational-exponents-and-radical-form . ||  ||   || . ||   ||   ||
 * 10/18 ||  ||   || Test (will not post) ||   ||   ||
 * 10/17 ||  ||   || Rational Expressions -
 * 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

. || worksheet
 * 10/11 || Radical Expressions and Radical Functions || handout

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: [] || . || §8.6 Radical Expressions and Radical Functions & §2.7 Transformations: Translation and Dilation of Functions
 * 10/05 || Radical Expressions and Radical Functions || scanned teacher class pages from document camera

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: []

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/- || . || §8.6 Radical Expressions and Radical Functions & §2.7 Transformations: Translation and Dilation of Functions
 * 10/04 || Radical Expressions and Radical Functions || scanned teacher class pages from document camera

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: [] || . ||  || Test ||   ||   || . ||  ||   || . || Review ||   ||   || . || §8.5 Solving Rational Equations and Inequalities (continued)
 * 10/03 || Test
 * 9/30 || Review ||  || Review
 * 9/29 || Review || scanned teacher class pages from document camera
 * 9/28 || Solving Rational Equations and Inequalities || scanned teacher class pages from document camera

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 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
 * teacher led instruction and guided practice class work: #
 * independent practice: # ||  || multiplying and dividing rational expressions:

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 www.biology.arizona.edu/biomath/tutorials/ applications/Cooling.html for any warm or cold object that will move to ambient (room) temperature over time. || 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: #1-8, 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
 * > 9/19 || The Natural
 * 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 . ||  || @http://en.wikipedia.org/wiki/Richter_magnitude_scale
 * teacher led instruction and guided practice class work: #7 (compound monthly and continuously)
 * independent practice: #9 (Carbon 14 dating)

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)
 * > __ || 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 || Assigned work. to be handed into substitute. || HW due today will be examined the next school day, 9/24 . ||  ||
 * 9/21 ||  ||   || Mr. Bujak out sick
 * 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] || [|www.biology.arizona.edu/biomath/tutorials/] [|Exponential/Intro.html]
 * > 9/18 || Exponential Growth and Decay (6.1) || scanned teacher class notes from document camera || bacterial growth -

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
 * > 9/11 || 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

 * NROC Algebra 1 Open Course -@http://nroc.remote-learner.net/course/view.php?id=25 - (login as guest) - very nice!
 * free multimedia Algebra books - www.hippocampus.org/Algebra%20%26%20Geometry
 * MathMax series
 * MathIsPower4U - nice collection of videos
 * Glencoe Algebra 2
 * Glencoe Algebra 2
 * ClassZone Algebra 2 - McDougal Littell - for Pennsylvania
 * Glencoe Algebra 2
 * []
 * []
 * [|www.classzone.com/cz/index.htm]
 * www.mathedpage.org - algebra, geometry, trigonometry, K-8, manipulatives, technology
 * BioMath - www.biology.arizona.edu/biomath/BioMath.html
 * Polynomial functions - www.biology.arizona.edu/biomath/tutorials/polynomial/PolynomialFunctions.html
 * Seeking Depth in Algebra 2 - www.mathedpage.org/alg-2/index.html

• Graphing Calculators
>> >> tutorial: www.youtube.com/watch?v=1FIqCv9lRDg
 * Application installed on computer
 * Microsoft Mathematics 4.0- very nice! - includes graphing calculator and optional handwriting input.
 * Microsoft Math add-In for Word and OneNote
 * TI 83 graphing calculator - instructions: [|www.youtube.com/watch?v=92vZ0A3iztA]
 * Online
 * Desmos - @https://www.desmos.com/calculator/- phenomenal, can pick colors, can share and export, allows user defined variables with sliders, allows fully qualified subscripts, can turn graphs on/off, composite functions, great translation/dilation studies, can zoom with mouse wheel, can pan with mouse, supports inequalities (shading),
 * review and video - www.freetech4teachers.com/2011/09/desmos-improves-their-browser-based.html
 * NLVM Grapher - allows 3 functions with 3 variables to control with sliders, windowing, tracing, great for illustrating translations/dilation and composite functions.
 * www.shodor.org/interactivate/activities/DataFlyer - with scaling, sliders, grid, data, trace, but not multiple functions (only one graph at a time)
 * Online graphing calculator - from mathworsheetsgo.com - nice but does not provide variable control of arbitrary values to investigate translation/dilation, does not support composite functions.

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

 * VirtualNerd - grade 6 through Algebra 2, including physics, SAT, ACT, geometry
 * Khan Academy - amazing
 * @http://wowmath.org/Algebra2/Alg2Notes.html - RobbWorld
 * Saxon Algebra 1 videos - from bing search
 * Algebasics -
 * Algebra in the Real World - collection of videos from The Futures Channel
 * Problem Solving - collection of videos from The Futures Channel

**BELOW NEEDS SOME ORGANIZATION** []
 * TUTORIALS:
 * www.intmath.com/exponential-logarithmic-functions/exponential-log-functions-intro.php
 * Virtual Nerd - Algebra 1, Algebra 2, SAT Math, Geometry
 * JMT - @http://justmathtutoring.com/
 * AlgebraHelp.com - nice detailed step-by-step explanations with sample problems
 * Mrs. Glosser's Math Goodies - @http://www.mathgoodies.com/
 * Platonic Realms - http://mathacademy.com/ @http://mathacademy.com/
 * The Math Forum at@Drexel - @http://mathforum.org/
 * Explore Learning - Gizmos - @http://www.explorelearning.com/
 * NCTM - National Council of Teachers of Mathematics - http://www.explorelearning.com/ @http://www.explorelearning.com/
 * GRAPHING TOOLS:
 * __ www.analyzemath.com/Calculators.html __
 * __ www.analyzemath.com/precalculus.html __
 * http://calculize.com/ - review -
 * Problem, graph, worksheet, glossary - www.mathway.com - basic math, pre-algebra, algebra, trigonometry, precalculus, calculus, statisitcs
 * Sample problems with hints: www.glencoe.com/sec/math/studytools/alg2lblr.shtml - Chapter 10 Exploring Exponential and Logarithmic Functions
 * Sample test problems with hints: [|www.glencoe.com/sec/math/algebra/algebra2/algebra2_05/chapter_test/index.php4/na] - Chapter 10 Exploring Exponential and Logarithmic Functions
 * Standardized Test Practice - [|www.glencoe.com/sec/math/algebra/algebra2/algebra2_05/standardized_test/index.php4/na] - Chapter 10 Exponential and Logarithmic Relations
 * Quadratic Formula Template with TI-NSpire - [|www.youtube.com/watch?v=InegM439YCE]
 * Quadratic Formula Template with TI-NSpire - [|www.youtube.com/watch?v=InegM439YCE]