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Algebra II
4/6/10 Simplifying Radicals p. 296 #14 - 42 evens 4.7.10 Simplifying and multuiplying radicals p. 299 #1-35 all (evens = cw, odds = hw) 4.8.10 #1-22 all pg. 303 operations with radicals 4.9.10 #23 - 52 all pg. 303 4.10.10 Quiz 7.1 - 7.3
Week of 3/22/2010 Introduce Radical Expressions 1) Warm-Up: Find the first through 4th powers of the numbers 1 - 5; organize in a matrix/chart. 2) Review Square Roots, Cube roots, Fourth Roots as Inverses of Exponents. 3) Rules for manipulating and simplifying roots Root of products = Product of roots Find perfect square factors to simplify Roots and Absolute Value 4) HW: 7.1 #1 - 12
3/23/2010 7.1 #13 - 26
Simplifying Radical Expressions by multiplication 1) Warm-Up: Find the diagonal of a square Find the across opposite corners of a cube
2) Simplifying square roots Simplifying cube roots Simplifying fourth roots Simplifying general roots
3) HW: 7.2 TBA
3/24/2010 7.3 Simplifying Radical Expressions Involving Quotients
1) Warm-Up: Simplify "common" square and cube roots using perfect square and cube factors 2) Simplifying square roots Simplifying cube roots Simplifying fourth roots Simplifying general roots
3) HW: 7.3 TBA
3/25/2010 FOIL and Rationalize
1) Warm-Up: Simplify Quotients and Sums/Differences 2) FOIL to simplify 3) Use conjugates to rationalize denominators 4) HW: TBA 7.4 selected problems
3/26/2010 Writing Radicals in Rational Form
1) Warm Up: Rationalize the Denominator Using Conjugates
2) Writing Square Roots as Rational Exponents Write fourth and greater powers as rational exponents
3) Write using Positive Exponents
4) Convert from Rational Form to Radical Form
5) Simplify
6) CW pg. 337 #21 - 40
7) HW: TBA 7.5
Week of 3/15/2010
3/15 6.9 Variation and Problem Solving Direct Variation - y = kx - p. 283 #1 - 8 Inverse Variation - y = k/x - p. 283 #9 - 14
3/16 Review Chapter 6 p. 289 #1 - 8, 11 - 16.
3/17/2010 pg. 290 #1 - 24 Prerequisite skills Introduce chapter 7 Radical Expressions
3/18/2010 Lecture - chapter review with examples
3/19 test chapter 6 Take Home - Honor System
pp. 295 - 296 #1 - 41 odds CW pp. 295 - 6 #2 - 40 HW
3/18
Week of 3/8/2010
6.6 due 3/15 Solving Rational Expressions p. 269 #1 - 27
6.5 due 3/11 Synthetic Division p. 265 #1 - 12 due 3/10 p. 265 #13, 14 6.4 #16-25 due 3/9/2010 Division of Polynomials
6.2 #19 - 30 due 3/3/2010
3/5/2010 Introduce synthetic and long division for polynomials - lecture and guided practice
EXAM ON CHAPTERS 1.1 - 5.3
Practice Problems: Ch. 1 pp. 56 – 58 #1, 2, 6, 7, 9, 10, 11 12 23 25 26 32 38 41 44 46 49 50 55 56 57 Ch.2 pp. 102 – 3 #1 3 7 11 14 17 22 23 27 Ch. 3 p. 157 #1 2 3 5 6 7 8 9 10 12 14 15 16 17 18 19 20 22 23 27 28 Ch 4 p. 200 #1 - 6 Chs 1 - 4p. 201 - 203 #2 – 66 evens Ch 5 p. 239 #2 – 20 evens
Monday 11/09/09 p. 158 #1 - 21
Tuesday 11/10/09 p. 161 #1 - 12 Solving Systems by Graphing
Thursday 11/12/09 6 Graphing Systems (on chalk board)
Tuesday - Wednesday 11/17/09 p. 166 - 7 #1 - 22, 30 - 35 Solving by Substitution, Linear Combinations, and Cramer's Rule
Thursday 11/18/09 Applications p. 171 #1, 3, 5, 8, 9, 11, 17, 18, 22 - 25 p. 173 #35 - 47
Friday 11/19/09 Cramer's Rule and Triangle Method p. 178 #1 - 18 all _________________________________________________________
_____________________________________________________________ Monday 11/2/09 Warm Up p. 147 #17 - 27 odds pg 146 #1 - 12 Tuesday 11/3/09 Warm Up p. 151 #52 - 60 all Wednesday pg 150 #10 - 22 composition of functions Wednesday 11/4/09 Review chapter 3 do pages 155 - 157 Thursday 11/5/09 Chapter 3 Test on Graphing, Functions, Relations, Slopes, Parallel and Perpendicular lines, changing from Standard to Slope-Intercept form, Finding intercepts to graph standard form lineqar equations ___________________________________________________ Monday 10/26Graphs of Linear Equations Collect//Review HW p. 121 Graphs of Linear Equations 3.5 Recognizing linear equations – no products of variables or powers/roots of the variables Graphing linear equations Table of values Intercepts if in standard form Ax + By = C Use y-intercept and slope if in slope-intercept or point-slope y = mx contains the origin and has a 0 y-intercept. y = mx + b is paralel to y = mx and has b as a y-intercept. X = a vertical line y = b horizontal line. HW p. 126 #1 – 36
Tuesday 10/27 Slope = rise/run HW p. 131 #1 – 43 all
Wednesday 10/28 Point slope, standard, and slope-intercept forms Graphing using slope and intercept in y = mx + b form p. 136 #1 – 47 Thursday 10/29 Parallel and perpendicular lines p. 142 #1 – 22 QUIZ Chapter 3.4 – 3.7, review of 3.1 – 3.3 Friday _________ Monday 10/12/09 3.1 Relations and Ordered Pairs Warm-Up p. 109 #35 – 43
Cartesian Product – the set of all ordered pairs that can be chosen from two sets. Relations – Sets of ordered pairs, Can have > 1 point passing through a vertical line E.g. Circles Functions – can't have more than one point touch a vertical line, can only have one y for every x. Positive and negative square root graphs
Domain – set of all the x’s (all the values allowed for the input or independent variable) Range – set of all the y’s (all the values possible for the output or the dependent variable) A single | means such that, or given the following condition. A set is collection of objects, such as all even numbers. Union of two sets is the two sets combined: U. Intersection of two sets is list of members of both sets. {1, 2, 3} intersected with {2, 3, 4} is {2, 3}. {1, 2, 3} union {2, 3, 4} is {1, 2, 3, 4}.
CW: p. 108 – 109 #1 – 22 odds. HW: p. 108 – 109 #2 – 22 evens.
Monday 10/19/09 3.2 Graphs Warm-Up: p. 115 #60 – 64 CW: p. 114 – 115 #1 – 53 odds HW p. 114 – 115 #2 – 54 evens. You may skip any 5 between the CW and HW. Graph – a picture representing a set of points, usually on a 2D plane consisting of the x-axis and y-axis. Cartesian coordinate system – consists of any xy graph, invented by Rene Descartes. Famous quote: “I think, therefore I am.” What he actually said in Latin: “Cogito, ergo sum.”
Tuesday 10/20/09 Functions 3.4 Vertical Line Test Only one y for every x f(x) - function notation – replace x with the value in the parentheses Warm-Up p. 126 #43 - 47 CW p. 119 #1 – 12 HW p. 120-1 #13 – 32
Wednesday 10/21/09 Graphs of Linear Equations 3.5 Recognizing linear equations – no products of variables or powers/roots of the variables Graphing linear equations Table of values
Intercepts if in standard form Ax + By = C Use y-intercept and slope if in slope-intercept or point-slope y = mx contains the origin and has a 0 y-intercept. y = mx + b is paralel to y = mx and has b as a y-intercept. X = a vertical line y = b horizontal line.
THURSDAY 10/22/09 Quiz 3.1 – 3.4 ___________________________________________________________________________________________________________________________ Monday 10/12/09 3.1 Relations and Ordered Pairs Warm-Up p. 109 #35 – 43
Cartesian Product – the set of all ordered pairs that can be chosen from two sets. Relations – Sets of ordered pairs, Can have > 1 point passing through a vertical line E.g. Circles Functions – can't have more than one point touch a vertical line, can only have one y for every x. Positive and negative square root graphs
Domain – set of all the x’s (all the values allowed for the input or independent variable) Range – set of all the y’s (all the values possible for the output or the dependent variable) A single | means such that, or given the following condition. A set is collection of objects, such as all even numbers. Union of two sets is the two sets combined: U. Intersection of two sets is list of members of both sets. {1, 2, 3} intersected with {2, 3, 4} is {2, 3}. {1, 2, 3} union {2, 3, 4} is {1, 2, 3, 4}.
CW: p. 108 – 109 #1 – 33 odds. HW: p. 108 – 109 #2 – 34 evens. You may skip a total of 4 problems between the CW and HW.
Tuesday 10/13/09 3.2 Graphs Warm-Up: p. 115 #60 – 64 CW: p. 114 – 115 #1 – 53 odds HW p. 114 – 115 #2 – 54 evens. You may skip any 5 between the CW and HW. Graph – a picture representing a set of points, usually on a 2D plane consisting of the x-axis and y-axis. Cartesian coordinate system – consists of any xy graph, invented by Rene Descartes. Famous quote: “I think, therefore I am.” What he actually said in Latin: “Cogito, ergo sum.”
Wednesday 10/14/09 Functions 3.4 Vertical Line Test Only one y for every x f(x) - function notation – replace x with the value in the parentheses Warm-Up p. 126 #43 - 47 CW p. 119 #1 – 12 HW p. 120-1 #13 – 32
Thursday 10/15/09 Graphs of Linear Equations 3.5 Recognizing linear equations – no products of variables or powers/roots of the variables Graphing linear equations Table of values Intercepts if in standard form Ax + By = C Use y-intercept and slope if in slope-intercept or point-slope y = mx contains the origin and has a 0 y-intercept. y = mx + b is paralel to y = mx and has b as a y-intercept. X = a vertical line y = b horizontal line.
_____________________________________________________________________ Monday 10/05/09: 2-8 Proofs in Equations Warm-Up p. 97 #33 – 39 CW pp. 96 – 97 #1 – 31 odds HW pp. 96 – 97 #2 – 32 evens
Tuesday 10/06/09 Chapter 2 Review pp. 102 – 3 #1 – 34 CW p. 103 #1 – 24 HW
Wednesday/Thursday: Barry University College Rep, Test review chapter 2.
Friday 10/09/09 Chapter 2 Test p. 104 #1 – 27 HW ____________________________________________________________________ _________________________________________________________________ Tuesday 09/29/2009: 2.6 Compound Inequalities: And/Or Warm-Up p. 86 #47 – 53 odds, #50 And Inequalities – barbell graph Or Inequalities – arrow graph CW p. 85 #1 – 39 odds HW p. 85 #2 – 40 evens
Wednesday 09/30/09: 2-7 Absolute Value Inequalities greatOR less thAND WARM-Up p. 91 #52 – 60 CW p. 91 #1 – 27 odds HW p. 91 #2 – 28 evens
Thursday 10/01/09: 2-8 Proofs in Equations Warm-Up p. 97 #33 – 39 Finish 2-7 p. 91 #28 – 51 all
CW pp. 96 – 97 #1 – 31 odds HW pp. 96 – 97 #2 – 32 evens
Monday 10/05/09 Chapter 2 Review pp. 102 – 3 #1 – 34 CW p. 103 #1 – 24 HW
Tuesday 10/06/09 Chapter 2 Test p. 104 #1 – 27 HW Warm-Up p. 65 #47 - 55 Review simplifying exponents and scientificnotation. Distribute to eliminate parenthesis Clearing the equation – multiply through byLeast Common Denominator Collect like terms Add/Subtract then Multiply/Divide. CW p. 64 #1 – 12 Teacher Led, p. 65 #29 – 39 HW p.65 #13 – 29 ALL TUESDAY: Re-test Chapter One Wednesday 09/15/09Warm-Up p. 70 #28 – 36 CWpp. 69 – 70 #1 – 25 odds. HW:pp. 69 – 70 #2 – 26 evens. Thursday: 2.3 Solving Formulas CW: p. 72 #1 – 28, #30 EC. HW: Finish and study for quiz 2.1 – 2.3 on )______________________________( Review for Chapter 1 Test Do Pages 56 - 58 #1 – 61 odds HW pp. 58 – 59 #2 – 60 Evens
Chapter 1 Test
Do p. 60 #1 – 22 for HW
Algebra II Exponents 1.7 Monday Warm-Up p. 37 #42 – 48. Standard Form, ExponentialNotation, Base, Exponent, Power. Neg. Exponents
Whole Class p. 36 #1, 5, 9,13, 17, 21, 29 With partners pp. 36 – 37 #3,7, 11, 15, 19, 23, 27, 31, 35
HW: pp. 36 – 37 #2 – 36 evens skip any two.
1.8 Properties of Exponents Warm-Up p. 43 #66 – 71. Check Warm-Up/HW Collect andQ&A. Properties of Exponents CW p. 42 #1 – 10, p. 43 #52 –65 pick 5. HW: p. 42-43 #12 – 50 evens.
Algebra II 1.9 Scientific Notation Warm-Up p. 48 #56 – 65 Check Warm-Up and Collect HW CW p. 47 #1- 16 HW p. 47 #18 – 40 evens
Algebra II 1.10 Field Properties Warm-Up p. 53 #26 – 41 odds Review Warm-Up and HW. Read Axioms p. 49 Review Properties p. 50 – 51 CW p. 52 #1 – 17 HW p. 53 #24
Review for Chapter 1 Test Do Pages 56 - 58 #1 – 61 odds HW pp. 58 – 59 #2 – 60 Evens
Chapter 1 Test Do p. 60 #1 – 22 for HW;start when you finish the test. Algebra II Week of 08/24/2009 Mr. Kalafus Monday: Distributive Property
Warm-Up p.24 #1 – 6 Collect and review HW Multiple Negative Signs: p. 25 #69 – 73, #79, p. 24 #38 - 45
Interest Application p. 25 #74 – 75
I = Prt P + I = P + Prt = P(1 + rt) By factoring using the distributive property
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