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Curriculum and Pacing Guide: 1200700 Mathematics for College Readiness Text: Intermediate Algebra, Third Ed., Pearson 2008 – Revised June 2011
Resources: http://www.floridastandards.org/http://www.nctm.org/standards/http://www.tinavigator.com/
The Essential Questions
Quarter 1: (Weeks 1 – 9) What are the similarities and differences in solving equations and solving formulas? How can you use linear equations, their graphs, and relationship tables to model real world situation? How are solving systems of equations by substitution, linear combination, and matrices alike and different?
Quarter 2: (Weeks 10 – 19)
How are functions and variations used to model the relationship between variables in the real word? What are the similarities and differences between long division and synthetic division of polynomials? How does one determine the appropriate strategy or method to use in factoring a polynomial? How do solving rational equations and simplifying rational expressions compare and contrast?
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Quarter 3: (Weeks 20 – 29)
What are the similarities of differences between using rational exponents and radical notation in solving problems? How does one determine the method to use to solve a quadratic equation?
Quarter 4: (Weeks 30 – 39)
How can union and intersection be applied to authentic (real world) situations? How are exponential and logarithmic functions used to study naturally occurring phenomena?
Note: A TI-83 or TI-84 is appropriate for this course. Students should become familiar with doing the mathematics “by hand” as well as with the calculator.
General Strategies Benchmark
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The student will use new vocabulary that is
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introduced and taught directly.The stude
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nt will use background knowledge of subject
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and related content areas, prereading st
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rategies (e.g., previewing, discussing, ge
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nerating questions), text features, and t
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ext structure to make and confirm complex
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predictions of content, purpose, and orga
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nization of a reading selection.The stude
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g spelling rules, orthographic patterns,
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generalizations, knowledge of root words, p
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refixes, suffixes, knowledge of Greek, Lati
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n, and Anglo-Saxon root words, and knowle
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dge of foreign words commonly used in Eng
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lish (laissez faire, croissant).The stude
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n, including names of academic courses and
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proper adjectives.The student will edit for
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correct use of punctuation, including comm
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s, quotation marks, parentheses, ellipses
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, brackets, and underlining or italics.Th
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and usage, including but not limited to p
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arts of speech, verb tense, noun/pronoun a
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greement, subject/verb agreement, pronou
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n/antecedent agreement, parallel structur
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erlative adjectives and adverbs, and unin
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tended shift in person or tense.The stude
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ce structure, including the elimination o
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f dangling or misplaced modifiers, run-on
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or fused sentences, and unintended sent
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ence fragments.
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Weeks 1 – 4:Unit 1: Basics of Algebra and Graphing
Days Topic Benchmark Textbook Section
Vocabulary DW Test Items Date Completed
2 Algebraic Expression,Equations & Inequalities, Number sets
MA.912.A.1.4 1.1 Algebraic expression,variable, constant, solution, natural, whole, rational, irrational and real numbers, integers, roster notation, set-builder notation
7947,7303,16259,20481, 8046,20482, 16248
2 Absolute value, Order, Number operations,
MA.912.A.1.4 1.2 Absolute value, opposite, reciprocal 7954,20485
3 Equivalents algebraic expressions, Properties, Like terms
MA.912.A.3.2. 1.3 Equivalent, like terms
2 Exponential and Scientific Notation
MA.912.A.1.3 1.4 Significant digits
1 Graphs MA.912.A.2.5 1.5 Scale, window, nonlinear3 Solving
Equations and Formulas
MA.912.A.3.1MA.912.A.3.3
1.6 Identity, contradiction, conditional, literal equations
3 Problem Solving Models
MA.912.A.2.13 1.7 Mathematical model
1 Review1 Test18 Total
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Weeks 5 – 7:
Unit 2: Functions, Linear Equations, and ModelsDays Topic Benchmark Textbook
SectionVocabulary DW Test Items Date Completed
2 Functions MA.912.A.2.4MA.912.A.2.6
2.1 Domain, range, function, relation, vertical line test, zero
7965,16284,2246, 20486, 20509, 8020
3 Linear Functions MA.912.A.3.8 2.2 Slope 7949,20508,2051,16253,7984,2048,7476
2 Linear Graphs MA.912.A.3.9MA.912.A.3.10
2.3 Intercepts
3 Point-Slope Form MA.912.A.3.7MA.912.A.3.11
2.4 Slope-intercept, standard form,
2 Algebra of Functions
MA.912.A.2.3MA.912.A.2.4
2.5 Domain
1 Review1 Test14 Total
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Weeks 8 – 10:
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Unit 3: Systems of Linear Equations and Problem Solving Date Completed
Days Topic Benchmark Textbook Section
Vocabulary DW test items
2 Systems of Equations in Two Variables
MA.912.A3.13M.A912.A.3.14
3.1 Systems, translating 7192,20491
2 Solving by Substitution or Elimination
MA.912.A.3.14
3.2 Dependent, inconsistent 16257,7972
2 Applications of Systems of Two Equations
MA.912.A.3.15
3.3
2 Systems of Equations in Three Variables
MA.912.A.3.14
3.4 Consistency, dependency
2 Applications of Systems of Three Equations
MA.912.A.3.15
3.5
3 Elimination Using Matrices
MA.912.D.8.2 3.6 Matrix (matrices), Row-Equivalent Operations, Reduced Row-Echelon Form, Linear combination
7169,7990,16272,16276
2 Determinants and Cramer’s Rule
MA.912.D.8.5 3.7 Determinant
1 Review1 Test17 Total
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Weeks 11 – 13:
Unit 4: Inequalities and Problem Solving Date CompletedDays Topic Benchmark Textbook
SectionVocabulary DW Test Items
2 Inequalities and Applications
MA.912.A.3.12 4.1 Interval Notation
3 Solving Equations and Inequalities by Graphing
MA.912.A.3.12MA.912.A.3.13
4.2 Intersect Method, Zero Method, half-plane
7192,20491,20492,16285
2 Compound Inequalities
MA.912.A.3.4 4.3 Intersection, conjunction, union, disjunction
2 Absolute-Value Equations and Inequalities
MA.912.A.3.5MA.912.A.3.6
4.4 20489
2 Inequalities in Two Variables
MA.912.A.3.12 4.5 16262
1 Review1 Test13 Total
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Unit 5: Polynomials and Polynomial Functions
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Week 14 – 19:
Weeks 18 & 19 (After Winter Break) – 1st Semester Review
End of 1st Semester
Instructional Days: 80
Flex Days/ Exam Review: 5
Exams Days: 2
Total Days: 87
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Weeks 20 – 23:
Unit 6: Rational Expressions, Equations, and FunctionsDays Topic Benchmark Textbook
SectionVocabulary DW Test Items Date Completed
2 Rational Functions MA.912.A.5.1 6.1 Asymptotes 8049,72603 Multiplying and
Dividng Rational Expressions
MA.912.A.5.2 6.1 Canceling, quotient, restrictions
2 Adding and Subtracting Rational Expressions
MA.912.A.5.2 6.2 Common denominators, LCM 8051
1 Complex Rational Expressions
MA.912.A.5.3 6.3 Complex fraction
2 Rational Equations MA.912.A.5.4MA.912.A.5.5
6.4 Clearing fractions, extraneous solutions
8055
2 Solving Applications Using Rational Equations
MA.912.A.5.7 6.5
1 Division of Polynomials
MA.912.A.5.2 6.6
1 Synthetic Division MA.912.A.4.6 6.7 Long division, Remainder Theorem2 Formulas,
Applications, and Variation
MA.912.A.2.12 6.8 Direct, inverse joint, and combined variations
1 Review1 Test18 Total
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Week 24 – 27:
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Unit 7: Exponents and Radical FunctionsDays Topic Benchmark Textbook
SectionVocabulary DW test items Date Completed
2 Radical Expressions, Functions, and Models
MA.912.A.2.6.MA.912.A.6.1
7.1 Square root, cube root, nth root 16183,7296,16250,16270,16275
2 Rational Numbers as Exponents
MA.912.A.6.3.MA.912. A.6.4
7.2 Rational exponents 7842,8024,16277,7258,16274,20279
2 Multiplying Radical Expressions
MA.912.A.6.2 7.3 8023
2 Dividing Radical Expressions
MA.912.A.6.2 7.4 Rationalizing
2 Expressions of Several Radicals
MA.912.A.6.2 7.5 Like radicals, indices
2 Solving Radical Equations
MA.912.A.6.5 7.6 7306,8026,7221,16286
3 Complex Numbers
MA.912.A.4.6 7.8 Imaginary, conjugate
1 Review1 Test17 Total
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Unit 8: Quadratic Functions and Equations
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Week 27 – 31:
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Unit 9: Exponential and Logarithmic Functions
49Curriculum and Pacing Guide
Mathematics for College Readiness
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Week 33 – 37 (Week 32 reserved for FCAT)Instructional Days: 75
Weeks 38 & 39 : 2nd Semester Review and Exams
Instructional Days: 75
Flex Days / Exam Review: 12
Exams Days: 5
Total Days: 92 (Seniors)
50Curriculum and Pacing Guide
Mathematics for College Readiness
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51Curriculum and Pacing Guide
Mathematics for College Readiness