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Algebra II

Page history last edited by Steve Peterson 9 years, 11 months ago

 

 

 


Algebra II

 

Mr. Steve Peterson                         

Email:  speterson@havsd.net

                 

COURSE DESCRIPTION  

 

In this course, you will deepen and extend your knowledge of algebra to build a powerful set of mathematical tools for solving problems.  Algebra is a way of thinking; a way of investigating new situations, discovering relationships and figuring out strategies to apply problems.  You will apply your algebraic tools to a variety of situations and use them to draw and support your conclusions.  Learning to think this way is useful both mathematical contexts and in other courses, and in life beyond school.  Study team interaction is an integral part of the learning process in the CPM curriculum.  The daily activities in this course depend on students working and discussing problems in teams to make sense of concepts. 

 

Syllabus

 

SAT Practice

 

Graphing Calculator

 

Homework Help!

 

cpm.org

 

 

 

 

 Date Topic  Class Activities  Homework 
  Chapter 1 Investigations and Functions  
1/28

1.1.1 and 1.1.2

 

Define functions and relations, independent and dependent variables

 

Understand function notation.

Evaluate a function for a specific input value.

 

 

Assign seats

Distribute books

Review syllabus

 

 

1-2 (function machine handouts)

 

1-10

 

 

Do 1-4 to 1-9

AND
1-13 to 1-26

1/29

1.1.3

 

Identify the domain and range of functions while improving your graphing-calculator skills.  

Bell work

 

 

Learning Log: read and summarize p11

Learning Log: read and summarize p18

 

 

1-27 to 1-34 (pgs 16-18)

 

 

 

 

 

1-35 to 1-41 (pgs 19-20) AND

1-47 to 1-53 (pg 24)

1/30

Find points of intersection using multiple representations and learn how to use the [CALC], [TABLE], and [TBLSET] functions on a graphing calculator.

 

 

 

Investigate a function defined by a geometric relationship and generate multiple algebraic representations for the function. 

Bell work: graph y=1/sqrt(x-3) and find the domain and range

 

 

finish presentations from last time?

 

1-42 and 1-46 (pgs 21 and 23)

 

1-54

 

Learning Log: read and summarize p28

 

 

1-60 to 1-77 (pgs 28-30)

 

 

1/31

Review factoring

BW; multiplying polynomial examples

 

questions on homework?

 

Multiplying worksheet

 

Factoring 1.pdf

 

Factoring 2.pdf

 

 

1-84 to 1-98 (pgs 36-37)

 

2/4

Develop our understanding of what it means to investigate a function as we investigate a family of hyperbolas.  THEN Identify what all linear functions have in common and determine whether relationships in tables and situations are linear.

BW: Graph y = 1/(x-7) and find the domain and range

 

 

1-78 to 1-83 (pgs 32-33) 

 

 

1-99 and 1-100

 

 

 

 

 

 

 


1-105 to 1-111 (pg 40)

 

 

 

 

 

 

 

 

 

  

 

 

2/6 

 

BW: determine formula for the volume of a 30 by 20 in box in terms of height 

 

Review graphing y=1(x-h)

Notes add to learning log

 

go over 1-100

 

assign 1-101 to 103 (pgs 38-39)

 

closure activity: p45 #4

 

homework check

 

 

1-113 to 1-119 (pgs 41-42)

 

1-120 to 1-128

2/7  Explore, state, and practice the rules for simplifying exponential expressions

 

BW: Learning Log entry on solving quadratic equations p. 23

Find the x-intercepts of y = 6x^2+x-15 using factoring , quadratic formula, AND graphing

 

1-112

 

review:

Rules of Exponents

 

 

 

 

 

 

Properties of Exponents.pdf

 

 

2/10  

BW:

 

answers for exponents worksheet

 

Team Quiz 1

 

 

 

 

 

Review Linear Equations.pdf

 

 

Chapter 2

 Sequences and Equivalence  
2/11

 

Represent exponential growth with a diagram, table, equation, and graph.  Write equations based on the patterns in their tables, recognize patterns of exponential growth, and use equations to make predictions. 

MPG versus GPM

 

Bell Work

 

 

 

solving systems with substitution

 

 

2-1, 2-3 to 2-5 (pgs 53-55)

 

Bunnies

 

 

 

 Homework: 2-6 to 2-19 (pgs 57-59)

Factoring Special Cases.pdf

 

 

2/12

 Generate data and model the data with tables rules, and graphs.  Also, calculate the rebound ratio when a ball bounces.  THEN Introduction to exponential decay.

 

Bell work: graph and solve 2^x=x^2

 

do 2-20 to 2-23

 

learning log on substitution method

 

 

 

 

 

Homework: 2-24 to 2-29 (pgs 62-63) AND 2-36 to 2-41 (pgs 67-68)

 

2/18  

BW: find a formula for exposure chart

 

Review bouncing balls activity

 

2-30 to 2-35

 

 

 

 

 

do 2-46 to 2-60 

 

 

2/19  

 

Test chapter 1

 

 

Quadratic Formula.pdf

2/20 Introduction to sequences and sort sequences into groups based on patterns in their representations.  Also identify sequences generated by adding a constant as arithmetic, and those generated by multiplying by a constant as geometric.

 

BW: solve a system of linear equations

 

Do 2-42

 

2-43 to 2-45

 

Lerning Log continuous and discrete

 

 

 

 

 

 

 

 

 

More Properties of Exponents.pdf 

 

Systems of Equations Graphing Kuta.pdf

2/21

Objective: Learn the vocabulary and notation for arithmetic sequences as formulas for the nth term are developed.  THEN Use geometric sequences to solve problems involving percent increase and decrease.  Also identify multipliers both to classify the sequences as geometric and to write equations for those sequences.


BW: type of sequence

 

Learning log entry on elimination method

 

Notes

 

2-61 to 2-70 (pgs 75-77)

 

2-78


do 2-71 to 2-77

 

2-86 to 2-91 

 

 

 

 

 

 

 

 

 

2/24  

BW: find the intersection points for y=x^2+3x-5 and y=-2x^2+4x-3

 

go over 2-78

 

questions on homework?

 

learning log p83

 

2-79 to 85

 

 

 

 

2-98 to 2-105

 

Systems of Equations Substitution Kuta.pdf

2/25  Recognize that sequences are functions with domains limited to non-negative integers.  Use Guess and Check or graphical methods to solve exponential equations.  THEN Write rules for arithmetic and geometric sequences, while identifying the first term as term number one rather than zero.

BW:

 

2-92 to 2-97

 

2-106 to 2-109

 

 

2-110 to 2-117

 

 

Systems of Equations Elimination Kuta.pdf

 

 

 

2/26
  Identify equivalent expressions and develop and share algebraic strategies for demonstrating equivalence.  THEN Use an area model to multiply expressions.  Also factor expressions and demonstrate equivalence.

 

 

 2-118 to 2-121

 

2-122 to 129 

 

 

  Arithmetic Sequences.pdf

 

2/27 Identify equivalent expressions and develop and share algebraic strategies for demonstrating equivalence.  THEN Use an area model to multiply expressions.  Also factor expressions and demonstrate equivalence.

BW: check point 3

 

2-130 to 134

 

 

 

Geometric Sequences.pdf

 

 

2-135 to 2-142

 

 

2/28  

 

team quiz 2

2-149 to 2-156

 

2-157 to 164

 

 
 Chapter 3 
Exponential Functions  
3/4  

 

new groups

 

2-143 to 2-148

 

Chapter 2 closure/review

 

 

 

 

3-7 to 3-21

 

 

 

 

 

3/5  

 

3-1 to 3-6

 

3-22 to 3-25

 

 

3-26 to 33

 


Comparing Arithmetic and Geometric Sequences.pdf

 

 

3/6  Objective: Investigate the family of functions y=b^x by making and justifying statements about the behaviors of graphs in this family 

 

 

 checkpoint 4

 

Exponential Graphs

3-34 to 3 -37

 

3-50 - 3-52

 

 

 

3-39 to 47

 

3-53 to 61

3/7   3-62 to 3-63 (carousel on 3-62)

 

3-64 to 3-71 

 

3/10

 

Objective: Investigate the family of functions y=a*b^x by making and justifying statements about the behaviors of graphs in this family

 

 

Test chapter 2

 

 

 

 

 

 

 

 

 

 

 

Systems of Equations Word Problems Kuta.pdf

 

 

 

 

 

3/11 Complete the exponential multiple-representation web, solidifying connections between the table, equation, graph, and context representations of an exponential function. THEN Find equations of linear and exponential functions by using known quantities to solve for a missing parameter.  Also, interpret fractional exponents. 

 

 

Bell work

 

3-72 to 3-77

 

3-87 to 3-94

 

 

 

 

3-78 to 3-86

 

3-95 to 104

 

 

3/12 Find linear and exponential equations given two points.  Also, evaluate roots with the calculator by converting to fractional exponent notation.  THEN Write and solve a system of exponential functions in the context of investigating used-car prices. 

BW: 3-92 and 3-93

 

3-105 to 308

 

3-117, 119, 120

 

 

 

 

 

 

3-109 to 3-116

 

3-121 to  130

3/13  

Factoring Quadratic Expressions Kuta 2.pdf

 

Review Chapter 3-1.doc

 

4-1 to 4-4

 

 3-131 to 143

 

4-5 to 4-12

3/14   Team quiz 3 Systems of Equations Word Problems 2.pdf
  Chapter 4 Transformations of Parent Graphs  
 
Collect non-linear data, fit an equation to their data, and use their equation to make predictions 

 

4-13 to 4-17

Factoring By Grouping Kuta 2.pdf

 

 

checkpoint 5

4-18 to 4-33 

3/17  Identify the point (h,k) for parabolas, hyperbolas, cubics, and square root graphs, and relate the Point-Slope form of a line to (h,k).  Consolidate all of the understanding of parent graphs and general equations in a toolkit.  THEN Use our knowledge of transformations to write a general equation for a family of functions based on an absolute value parent graph.

 

4-34 to 4-38

 

4-46 to 49

4-39 to 4-45

4-51 to 4-58

3/18  

 

4-59-62 plus abs(x)

4-86 to 4-89 (need resource pages)

 

 

 

Factoring Quadratic Form Kuta

3/19  

individual test chapter 3

4-64 to 4-85

 

 

4-91 to 4-98

3/20  Completing the square

Factoring A Sum+Difference of Cubes Kuta.pdf

 

4-112 to 117

4-103 to 111
3/15  
  4-119 to 4-127
3/18  Understanding perfect squares: how to complete a perfect square when c is unknown and how to easily factor a perfect square.  Also, finding the vertex of a quadratic and the center/radius of a circle by completing the square and rewriting an equation into general form.

4-128 to 134

 

 

 

 

 

 

4-135 to 143

 

3/19
 
4-144 to 147

4-148 to 4-155

CL 4-156 to 166

 3/20
 

review for team quiz:
notes tranformations.ppt  

 

 5-6 to 5-12
3/21   Team Quiz ch 4   
  Chapter 5 Solving and Intersections  
4/2  

Chapter 4 REVIEW.doc 

review part 1

 

p220 5-1 to 5-4

 

5-13, 14,15

5-18 to 5-32

 

5-37 to 43

4/3 Solve systems of linear and non-linear equations using multiple strategies.  Determine the number of solutions for systems and interpret solutions graphically. THEN Use problem solving to write equations and find solutions for real-life applications.

 

review part 2

 

5-33 to 5-35

 

5-44 to 5-47

 

 

5-48 to 5-53

4/4  

review part 3

 

 

5-54 to 60

 

 

 

5-62 to 5-74

 

 

4/5

  Individual Test Chapter 4  5-79 to 5-86
4/8  

5-75 to 78

5-89 to 5-95

4/9 Apply systems of linear inequalities to solving linear programming problems

5-87

5-96

 

5.1 handout.docx

4/10   

 

5-97 to 102

 

5- 103 to 111

  Chapter 6 Inverses and Logarithm  
4/11    5.2 worksheet.docx 6-7 to 6-15
4/12   Test Ch 5  
4/15 Learn to find rules that “undo” functions, and develop strategies to justify that each rule undoes the other.  Also, graph functions along with their inverses and make observations about the relationships between the graphs. THEN Introduction to the term inverse to describe undo rules.  Also  graphing the inverse of a function by reflecting it across the line of symmetry and write equations for inverses.

BW: LP prob

 

Rational expressions, inverses, and logs power point.ppt

 

 

6-1 to 6-6

 

 

6-16 to 6-25

 

 

6-26 to 32

4/16 Introduction to the term inverse to describe undo rules.  Also  graphing the inverse of a function by reflecting it across the line of symmetry and write equations for inverses. THEN Use the idea of switching x and y-values to learn how to find an inverse algebraically.  Also learn about compositions of functions and use compositions f(g(x)) and g(f(x)) to test algebraically whether two functions are inverses of each other. 

 


Factoring All Techniques Kuta 2.pdf

 

6-38 to 6-42

 

 

inverses

 

 

 

6-42, 6-44 to 53

 

6-59 to 6-66

   

Dividing Polynomials Kuta

Expressions Kuta 1.pdf

 

Multiplying Rational Expressions Kuta 1.pdf

 

 

 

 

 

 

 

 
4/17 Apply strategies for finding inverses to parent graph equations.  Begin to think of the inverse function for y=3x.  THEN Define the term logarithm as the inverse exponential function or, when y=bx, “y is the exponent to use with base b to get x.”   

 

 

 

Rational expressions 2

 

 

go over homework (6-53)

6-54 to 6-58

 

 

 

6-72 to 80

4/18  

BW Rational_Expressions.doc

 

silent board game

6-67 to 71

 

p285 6-81

6-84 to 6-92

 

4/19  

 

Simplifying Rational Expressions Kuta 1.pdf 

 

6-94 to 6-95

 

6-106 to 6-111

 

 

6-113 to 6-120,

 6-121 to 6-129

 

 4/22 review ch 6  

BW: MPG illusion

 

Rational_Expressions_Add_and_Subtract.doc

 

Composition of functions handout

 

6-96 to 6-105

 

 
 Chapter 7   
3-D Graphing and Logarithms
 
4/23
 Create and use a model to locate points in 3-D space and plot points in 3-D on isometric paper.  THEN Graph planes.

 

7-1 to 7-7

 

 

 

 

7-8 to 7-15

 

 

4/24     

 Rational_Expressions_Multiply_and_Divide.doc

 

7-21 to 7-28

4/25  Create and use a model to locate points in 3-D space and plot points in 3-D on isometric paper.  THEN Graph planes.

 

team quiz on chapter 6

 

 

 

 

 

 

7-34 to 7-42

 

 

 

 

4/26 Investigate the graphs of systems of equations with three variables.  Find the points that line on two planes simultaneously. THEN Develop an algorithmic strategy to solve systems of 3 equations with 3 variables.   Also determine the different ways 3 planes can intersect in a graph.

 

 

review 3D graphing

 

7-16 to 7-20

 

7-29 to 7-32

 

(isomorphic dot paper)

 

 

Rational_1.pdfAdding+Subtracting 

4/29 Investigate the graphs of systems of equations with three variables.  Find the points that line on two planes simultaneously. THEN Develop an algorithmic strategy to solve systems of 3 equations with 3 variables.   Also determine the different ways 3 planes can intersect in a graph.

 

7-43 to 7-48

 

 

Rational Expressions_Review.doc

 

 

3D grapher:

http://www.cpm.org/flash/technology/3dsystems.swf

 

HW:

7-50 to 7-59

 

 

 

 

4/30  

7-60 to 69

 

Meaning of Logarithms.pdf

 

 

7-71 to 7-86
5/1  Work in teams to find the equation of a quadratic function y=ax2+bx+c that passes through three given points when graphed.

7-87 to 93

7-94 to 102

 

 

 

5/2  

Dividing Rational Expressions Kuta 1.pdf

 

 

 

 

 

7-111 to 122

 

5/3  

 

Individual test

Test Ch 6

 

 

 

 

5/6
 

 

7-103 to  110


7-123 to 126

7-127 to 136

 7-138 to 147

 

 

 

 

5/7
 

7-137

Properties of Logarithms.pdf

7-148 to 154

 


 

 

7-155 to 7-164

 

 

 

5/8  

BW:
Writing Logs in Terms of Others.pdf

 

 

7-165 to 168

 

7-179 to 7-183

 

 

 

 

7-171 to 178 

 

7-185 - 193

 

5/9  

 

 

7-194 to 199

7-209 to 217

 

Change of Base Formula.pdf

 

 

 

7-200 to 7-208

7- 218 to 226

5/10  

 

 

 

Team Quiz 

 

 

Exponential Equations Not Requiring Logarithms.pdf

 

5/13  
Solving Exponential Equations with Logarithms.pdf

 

 

 

 

Graphing Logarithms.pdf

 

8-4 to 8-11

 

5/14  Inverses of Logarithms.pdf

Graphing Exponential Functions.pdf

 

Do review problems in

A2C Parent Guide Chapter 7.doc

Logarithmic Equations.pdf

 

8-15 to 8-33

 

 

5/15  

Special Right Triangles.pdf

 


Right Triangle Trig Missing Sides and Angles.pdf

 


 

8-37 to 8-45

8-53 to 8-65

5/16      
  Chapter 8

Trigonometric Functions

 
5/19 Test Ch 7  
5/21  

Graphing sine and cosine

 

coterminal, quadrantal angles

trig graphing handout.pdf  

 

 

 

 

 

 

8-53 to 8-72

5/22

 reference angles

radian measure

BW: check point 6 in yellow book  8-78 to 8-86
5/23    

BW:  Trig Bell Work parts 1 and 2.doc

 

8-87 to 90

8-99 to 8-102

 

8-91 to 98

 

8-104 to 112

5/24
  • graphing the tangent function 
  • transforming sine and cosine graphs

Trig Bell Work Part 2

 

8-113 to 115

8-123 to 126

8-116 to 122

 

8-127 to 136

5/28
 

 

Exact Trig Values of Special Angles.pdf

 

BW: Check point 7 in yellow book

 

8-137 to 142

8-152 to 156

 

8-143 to 151

8-158 to 165

 
 Chapter 9  Polynomial Functions  

5/29

 

 

BW: p313 in Trig and Adv Math Topics book

 

9-1 to 9-5

 

9-28 to 9-37

 9-8 to 9-27
5/30
 

BW: Checkpoint 11

 

Ch 8 closure problems

166 to 177
5/31
   team quiz chapter 8

 9-38 to 46

9-56 to 64

6/3
 imaginary numbers

BW: check point 9 (yellow book)

9-47 to 9-55

9-65 to 71

9-72 to 80

 

6/4 review packet (parent guide ch8)

Bell Work Checkpoint 8 in yellow book

 

review ch 8

9-81 to 88

 checkpoint 12: Graphing linear inequalities

9-89 to 97

6/5

 

Test on Chapter 8

 checkpoint 13: Solving Rational Equations

 9-105 to 113

6/6
  

check point 10

 

98 to 103

 9-114 to 120

9-121 to 130

checkpoint 14: Completing the square

6/7
 

9-131 to 139

Methods and meanings

p478

9-165 to 168

 

9-140 to 164

 

9-169 to 188

6/10    review for ch9 test
 Checkpoint 15: Solving exponential equations
6/11   Test ch 9
 Checkpoint 16: Absolute value inequalities
6/12
 

review for final

 Checkpoint 17: Finding inverses

Checkpoint 18: systems of equations in 3 variables

6/13  finals blocks 1 and 2    
6/14  finals blocks 3 and 4 ************FINAL EXAM******************   

 

 

 

 

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