Author(s): Jen Nimtz, Andrew Richardson
Edition: 2
Publisher: Western Washington University
Year: 2023
Language: English
Commentary: Required course material for Math 109 - Support for Functions and Algebraic Methods at Western Washington University as of Fall 2023. The cost of the book in the bookstore ($15) is pretty close to the price of printing on-campus ($7.65) but the bookstore one is spiral bound. It is designed to be written in, so you'll need to print most of it. It is CC non-commercial licensed (so you aren't infringing on copyright by downloading) but cannot be found outside of internal systems (until now, ofc). Note that edition 1 was part of a small pilot program (Math 197c), so it's unlikely to be uploaded as few people are in possession of it.
Pages: 153
City: Bellingham
Tags: textbook, workbook
COLOPHON - Page I
ACKNOWLEDGEMENTS - Page II
TO USERS OF THIS BOOK - Page 1
TODOS CUENTAN - Page 2
AXIOM 1 - Page 2
AXIOM 2 - Page 2
AXIOM 3 - Page 2
AXIOM 4 - Page 2
REFERENCE - Page 2
DEFINITION OF AN AXIOM - Page 2
PROBLEM SOLVING - Page 3
I. ORIENTATION - Page 3
II. GENERATION - Page 3
III. CONCLUSION - Page 3
CLASS NORMS - Page 4
INTRODUCTIONS - Page 4
THINK—GO AROUND—DISCUSS PROTOCOL - Page 4
PRACTICE THE PROTOCOL - Page 4
USE THE PROTOCOL TO DEVELOP CLASS NORMS - Page 4
CHAPTER 1: LINEAR FUNCTIONS - Page 5
PATTERNS & ALGEBRAIC REPRESENTATIONS - Page 5
ACTIVITY 1: FINDING AND PREDICTING PATTERNS - Page 5
ACTIVITY 2: ALGEBRA OF PATTERNS: TABLES, GRAPHS, & EQUATIONS - Page 6
ACTIVITY 3: MORE ALGEBRA OF PATTERNS (OPTIONAL) - Page 7
ACTIVITY 4: REFLECTION - Page 8
1.1 SOLVING LINEAR EQUATIONS IN ONE VARIABLE - Page 9
ACTIVITY 1: ASSESSING MATHEMATICAL COMMUNICATION AND CORRECTNESS - Page 9
ACTIVITY 2: SOLVING APPLIED PROBLEMS GIVEN FORMULA AND A VALUE—LINEAR EQUATIONS IN ONE VARIABLE - Page 10
ACTIVITY 3: MORE APPLIED PROBLEMS - Page 11
ACTIVITY 4: REFLECTION - Page 12
1.2 FUNDAMENTALS OF GRAPHING: SLOPE—LINEAR EQUATIONS IN TWO VARIABLES - Page 13
ACTIVITY 1: EXAMINING SLOPE - Page 13
ACTIVITY 2: CALCULATING SLOPE FROM A GRAPH AND A TABLE - Page 15
ACTIVITY 3: REFLECTION - Page 16
1.3 GRAPHING LINEAR EQUATIONS: SLOPE & INTERCEPTS—LINEAR EQUATIONS IN TWO VARIABLES - Page 17
ACTIVITY 1: EXAMINING INTERCEPTS - Page 17
ACTIVITY 2: INTERPRETING ? = ?? + ? IN CONTEXTS - Page 18
ACTIVITY 3: VERTICAL AND HORIZONTAL LINES - Page 20
ACTIVITY 4: MODELING & INTERPRETING ?? + ?? = ? IN CONTEXT - Page 21
ACTIVITY 6: CONNECTING FORMS OF LINEAR EQUATIONS - Page 22
ACTIVITY 7: REFLECTION ON SECTIONS 1.2 & 1.3 - Page 23
1.4 FINDING EQUATIONS OF LINES - Page 25
ACTIVITY 1: FINDING EQUATIONS OF LINES GIVEN A GRAPH - Page 25
ACTIVITY 2: ASSESSING MATHEMATICAL COMMUNICATION - Page 26
ACTIVITY 3: FINDING EQUATIONS OF LINES - Page 28
ACTIVITY 4: APPLIED PROBLEM - Page 30
ACTIVITY 5: REFLECTION—CREATE A CONCEPT MAP - Page 31
1.5 FUNCTIONS - Page 32
ACTIVITY 1: EVALUATING AND SOLVING USING FUNCTION NOTATION - Page 33
ACTIVITY 2: FUNCTIONS IN CONTEXTS - Page 34
ACTIVITY 3: MORE FUNCTIONS IN CONTEXTS - Page 36
ACTIVITY 4: REFLECTION - Page 37
CHAPTER 2: SYSTEMS OF LINEAR EQUATIONS & INEQUALITIES - Page 38
2.1 SYSTEMS OF LINEAR EQUATIONS: USING TABLES AND GRAPHS - Page 38
ACTIVITY 1: COMPARING PROPORTIONAL AND NON-PROPORTIONAL RELATIONSHIPS - Page 38
ACTIVITY 2: SYSTEM OF EQUATIONS SOLUTION TYPES—TABLES AND GRAPHS - Page 40
ACTIVITY 3: REFLECTION - Page 43
2.2 SYSTEMS OF LINEAR EQUATIONS: SUBSTITUTION - Page 44
ACTIVITY 1: SYSTEMS OF LINEAR EQUATIONS—SUBSTITUTION - Page 44
2.3 SYSTEMS OF LINEAR EQUATIONS: ELIMINATION - Page 45
ACTIVITY 1: SYSTEMS OF LINEAR EQUATIONS—ELIMINATION - Page 45
ACTIVITY 2: REFLECTION - Page 46
ACTIVITY 3: SYSTEMS OF LINEAR EQUATIONS—USING ALGEBRAIC STRUCTURE TO SELECT A SOLUTION METHOD - Page 47
ACTIVITY 4: REFLECTION - Page 48
CHAPTER 3: OPERATIONS ON EXPRESSIONS AND FUNCTIONS - Page 49
SECTION 3.1 PROPERTIES OF EXPONENTS - Page 49
ACTIVITY 1: REVIEWING REPEATED ADDITION AND REPEATED MULTIPLICATION - Page 49
ACTIVITY 2: GENERALIZING THE PROPERTIES OF EXPONENTS - Page 50
ACTIVITY 3: SCIENTIFIC NOTATION AND UNIT CONVERSIONS - Page 55
SECTION 3.2: COMBINING FUNCTIONS - Page 56
ACTIVITY 1: ADDING FUNCTIONS - Page 56
ACTIVITY 2: SUBTRACTING FUNCTIONS - Page 57
ACTIVITY 3: MULTIPLYING FUNCTIONS - Page 58
ACTIVITY 4: DIVIDING FUNCTIONS WITH MONOMIAL DIVISOR - Page 61
ACTIVITY 5: MIXED PRACTICE - Page 63
ACTIVITY 6: DIVIDING FUNCTIONS WITH BINOMIAL DIVISOR (OPTIONAL) - Page 64
ACTIVITY 7: SIMPLIFYING EXPRESSIONS - Page 66
SECTION 3.4: FACTORING POLYNOMIALS - Page 67
RELATIONSHIP BETWEEN FACTORING AND MULTIPLYING - Page 67
ACTIVITY 1: UNDERSTANDING FACTORS - Page 67
ACTIVITY 2: MODELING POLYNOMIALS AND THEIR FACTORS - Page 69
ACTIVITY 3: VOCABULARY OF POLYNOMIALS & FACTORING - Page 70
ACTIVITY 4: SCAFFOLDED TRINOMIAL FACTORING & GENERALIZING - Page 72
SECTION 3.5: SPECIAL FACTORING TECHNIQUES - Page 73
ACTIVITY 1: RECOGNIZING STRUCTURE OF SPECIAL QUADRATICS - Page 73
ACTIVITY 2: USING SPECIAL FACTORING TECHNIQUES - Page 75
ACTIVITY 3: FACTORING MIXED PRACTICE - Page 76
CHAPTER
4: QUADRATIC EQUATIONS AND FUNCTIONS - Page 77
PREVIEW OF QUADRATIC EQUATIONS AND FUNCTIONS - Page 77
ACTIVITY 1: HOW DO WE RECOGNIZE A QUADRATIC EQUATION OR FUNCTION? - Page 77
ACTIVITY 2: CONNECTING CHARACTERISTICS OF A QUADRATIC GRAPH WITH FORMS OF THE FUNCTION - Page 78
ACTIVITY 3: PROJECTILE HEIGHT APPLICATION - Page 79
SECTION 4.1 INTRODUCTION TO QUADRATIC FUNCTIONS - Page 80
ACTIVITY 1: CHARACTERISTICS OF QUADRATIC FUNCTIONS - Page 80
SECTION 4.5 SOLVING QUADRATIC EQUATIONS WITH FACTORING - Page 81
ACTIVITY 1: USING THE ZERO PRODUCT PROPERTY TO SOLVE POLYNOMIAL EQUATIONS - Page 81
ACTIVITY 2: APPLIED PROBLEMS USING FACTORS OF POLYNOMIALS - Page 82
SECTION 4.4 COMPLETING THE SQUARE - Page 84
ACTIVITY 1: SOLVING USING THE SQUARE ROOT PROPERTY - Page 84
ACTIVITY 2: VISUALIZING COMPLETING THE SQUARE - Page 85
ACTIVITY 3: COMPLETING THE SQUARE - Page 86
SECTION 4.6 THE QUADRATIC FORMULA - Page 88
ACTIVITY 1: DERIVING THE QUADRATIC FORMULA - Page 88
ACTIVITY 2: SOLVE APPLIED PROBLEMS USING THE QUADRATIC FORMULA - Page 89
SECTION 4.7 GRAPHING STANDARD FORM AND MODELLING - Page 91
ACTIVITY 1: WRITE A QUADRATIC EQUATION FROM GRAPH - Page 91
ACTIVITY 2: MODELLING WITH QUADRATICS [REVISE WITH GRAPH] - Page 93
CHAPTER 7: RATIONAL FUNCTIONS: EXPRESSIONS AND EQUATIONS - Page 94
SECTION 7.1 RATIONAL FUNCTIONS AND VARIATION - Page 95
ACTIVITY 1: COMPARING LINEAR AND RATIONAL FUNCTIONS - Page 95
SECTIONS 7.2, 7.3, & 7.4: SIMPLIFYING RATIONAL EXPRESSIONS - Page 97
ACTIVITY 1: REVIEW OF NUMERIC FRACTIONS - Page 97
ACTIVITY 2: SIMPLIFYING RATIONAL EXPRESSIONS - Page 99
ACTIVITY 3: MULTIPLYING AND DIVIDING RATIONAL EXPRESSIONS - Page 101
ACTIVITY 4: RATIONAL EXPRESSIONS & COMMON DENOMINATORS - Page 105
ACTIVITY 5: ADDING AND SUBTRACTING RATIONAL EXPRESSIONS - Page 106
ACTIVITY 6: SIMPLIFY RATIONAL EXPRESSIONS—MIXED PRACTICE - Page 110
SECTION 7.5: SOLVING RATIONAL EQUATIONS - Page 111
ACTIVITY 1: CLEARING NUMERIC FRACTIONS TO SOLVE LINEAR EQUATIONS (REVIEW) - Page 111
ACTIVITY 2: CLEARING ALGEBRAIC FRACTIONS TO SOLVE RATIONAL EQUATIONS - Page 112
ACTIVITY 3: CONSIDERING EXTRANEOUS SOLUTIONS - Page 113
ACTIVITY 4: EVALUATE THE SOLUTION METHODS - Page 114
ACTIVITY 5: APPLIED PROBLEMS - Page 115
CHAPTER 8: RADICAL FUNCTIONS: EXPRESSIONS AND EQUATIONS - Page 117
SECTION 8.1 RADICALS AND RADICAL FUNCTIONS - Page 117
ACTIVITY 1: COMPUTING SQUARES AND SQUARE ROOTS - Page 117
ACTIVITY 2: COMPUTING CUBES AND CUBE ROOTS - Page 119
ACTIVITY 3: RADICALS AND FRACTIONAL EXPONENTS - Page 121
ACTIVITY 4: COMPARING QUADRATIC AND RADICAL FUNCTIONS - Page 123
SECTIONS 8.3 ADDING AND SUBTRACTING RADICALS - Page 126
EXPANDING THE DEFINITION OF LIKE TERMS - Page 126
ACTIVITY 1: ADD AND SUBTRACT RADICALS - Page 127
SECTION 8.4: MULTIPLYING AND DIVIDING RADICALS - Page 129
ACTIVITY 1: MULTIPLYING RADICALS - Page 129
ACTIVITY 2: DIVIDING RADICALS - Page 129
SECTION 8.5: SOLVING RADICAL EQUATIONS - Page 130
INTRODUCTION TO SOLVING RADICAL EQUATIONS - Page 130
ACTIVITY 1: EVALUATE THE SOLUTION METHODS - Page 131
ACTIVITY 2: SOLVING RADICAL EQUATIONS WITH ONE VARIABLE TERM - Page 133
ACTIVITY 3: APPLIED PROBLEMS - Page 134
ACTIVITY 4: SOLVING RADICAL EQUATIONS WITH TWO VARIABLE TERMS - Page 135
FINAL EXAM REVIEW - Page 136
ACTIVITY 1: ALGEBRAIC EQUATIONS CARD SORT - Page 136
ACTIVITY 2: SOLVING VARIOUS ALGEBRAIC EQUATIONS - Page 136
ACTIVITY 3: FUNCTIONS CARD SORT - Page 138
APPENDIX: REVIEW - Page 139
RATIONAL NUMBERS - Page 139
INTEGERS - Page 139
FRACTIONS - Page 139
DECIMALS - Page 139
ORDER OF OPERATIONS - Page 140
EXPONENTS - Page 142
INTEGER EXPONENTS - Page 142
RADICALS: FRACTIONAL EXPONENTS - Page 144
