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Curriculum and Pacing Guide Mathematics: Algebra I Regular Text: Prentice Hall Algebra 1 Chapter 1: Tools of Algebra Block Days 1 2 DW item #s Section Topic 1-1 Prerequisite Skills Using Variables 1-2 Exponents and Order of Operations 1-3 Exploring Real Numbers 1 1-4 Adding Real Numbers 1 1-5 Subtracting Real Numbers 1 1-6 Multiplying and Dividing Real Numbers The Distributive Property 1-7 1 1-8 1-9 1 1 9 Total Days Properties of Real Numbers Graphing Data on the Coordinate Plane Chapter Review Student Testing FCAT Review Benchmarks FCAT Type Extensions M.A.A. 1.4.3 M.A.D.1.4.1 M.A.A. 1.4.3 M.A.A. 2.4.2 M.A.A. 3.4.3 M.A.A. 1.4.1 M.A.A. 1.4.2 M.A.A. 2.4.2 M.A.A. 1.4.3 M.A.A. 2.4.2 M.A.A. 3.4.1 M.A.A. 1.4.3 M.A.A. 2.4.2 M.A.A. 3.4.1 M.A.A. 2.4.2 M.A.A. 3.4.1 M.A.A. 3.4.3 M.A.A. 2.4.2 M.A.A. 3.4.2 M.A.D. 1.4.1 MC Riverdeep: Activity – Using Variables Activity – Order of Operations Activity - Exploring Real Numbers M.A.A 2.4.2 M.A.A. 3.4.2 M.A.D. 1.4.1 M.A.A.1.4.3 M.A.D. 1.4.1 MC Variable, algebraic expression, equation, open sentence Simplify, exponent, base, power, order of operations, evaluate Natural, whole, rational, irrational, and real numbers, integers, counterexample, inequality, opposites, absolute value Identity Property of Addition, additive inverse, Inverse Property of Addition, matrix, element MC MC, GR Riverdeep: Activity – The Distributive Property Test – Proportions of Real Numbershttp://rd.collier.k12.fl .us/lms MC, GR Riverdeep: Activity – Linear Best Fit Identity Property of Multiplication, Multiplication Property of Zero, Multiplication Property of -1, Inverse Property of Multiplication, multiplicative inverse, reciprocal Distributive Property, term, constant, coefficient, like terms deductive reasoning Coordinate plane, axis, origin, quadrants, ordered pair, coordinates, scatter plot, positive correlation, negative correlation, no correlation, trend line Curriculum and Pacing Guide Mathematics: Algebra I Regular Chapter 2: Solving Equations Block Days Section Topic Benchmarks FCAT Type Extensions Vocabulary 1 2-1 Solving One-Step Equations M.A.A. 3.4.1 M.A.A. 4.4.1 MC solution of an equation, equivalent equations, inverse operations 1 2-2 Solving Two-Step Equations MC 1 2-3 1 2-4 Solving Multi-Step Equations Equations with Variables on Both Sides M.A.A. 3.4.1 M.A.A. 3.4.2 M.A.A. 4.4.1 M.A.A. 3.4.1 M.A.A. 4.4.1 M.A.A. 3.4.1 Riverdeep: Activity – Solving (1) Step Equations Riverdeep: Activity – Solving (1) Step Equations Riverdeep: Activity – Solving Equations with Variables on Both Sides identity 1 2-5 Equations and Problem Solving 1 2-6 Formulas 1 2-7 Using Measures of Central Tendency Chapter Review Student Testing Ch. 1,2 FCAT Review, Real-world applications 1 1 9 Total Days MC MC M.A.B. 1.4.2 MC, GR M.A.B. 2.4.2 M.A.D. 1.4.1 M.A.B. 1.4.1 MC, GR M.A.D. 1.4.1 M.A.E. 1.4.1 MC, M.A.E. 1.4.2 GR, ER M.A.E. 3.4.2 consecutive integers, uniform motion literal equation measures of central tendency, mean, outlier, median, mode, range, stem-and-leaf plot Riverdeep; Test – Solving Multi Step Equations Consult NCTM website and publications for excellent resources to add relevance DW Item #s Note: Beginning with this chapter, tests and reviews should be cumulative. For example, the Chapter 3 review and test should include key problems from Chapters 1 and 2. Curriculum and Pacing Guide Mathematics: Algebra I Regular Chapter 3: Solving Inequalities Block Days Section Topic Benchmarks FCAT Type Extensions 1 3-1 Inequalities and Their Graphs M.A.A. 1.4.2 M.A.A. 2.4.1 MC 1 3-2 Solving Inequalities Using Addition and Subtraction M.A.A. 3.4.1 MC 1 3-3 Solving Inequalities Using Multiplication and Division M.A.A. 3.4.1 MC 1 3-4 Solving Multi-Step Inequalities M.A.A. 3.4.1 MC 1 3-5 Compound Inequalities 1 3-6 Absolute Value Equations and Inequalities (objective 1 only) Riverdeep: Activity – Inequalities and Their Graphs Riverdeep: Activity – Solving Inequalities using Addition and Subtraction Riverdeep: Activity – Solving Inequalities using Multiplication and Division Riverdeep: Activity – Solving Inequalities using Multi Steps Test – Solving Inequalities Riverdeep: Activity – Solving Compound Inequalities Test – Compound Inequalities Riverdeep: Activity – ABS of Inequalities Test – ABS of Inequalities Chapter Review Student Testing Ch. 1-3 FCAT Review 1 1 8 Total Days MA.A.1.4.4 MC, GR Vocabulary Solution of an inequality Equivalent Inequalities Compound inequality DW Item #s Curriculum and Pacing Guide Mathematics: Algebra I Regular Chapter 4: Solving and Applying Proportions Block Days Section Topic Benchmarks FCAT Type Extensions Vocabulary 1 4-1 Ratio and Proportion M.A.A. 3.4.2 M.A.B. 2.4.2 MC, GR 4-2 Proportions and Similar Figures M.A.B. 1.4.3 M.A.B. 2.4.1 Ratio, rate, unit rate, unit analysis, proportion, extremes of a proportion, means of a proportion, cross products Similar figures, scale drawing, scale 4-3 Proportions and Percent Equations M.A.A. 1.4.4 M.A.A. 3.4.2 M.A.B. 1.4.3 M.A.B. 3.4.1 Riverdeep: Activities – Ratio & Proportion 1 & 2 Activity – Cross Multiplication Activity – Ratios/Corresponding Sides & Similar Sides Test – Ratios, Proportions and Similar Figures Riverdeep: Activity – Percent Equations Activity – Percent of Increase Activity – Percent of Decrease Test – Proportions and Percent of Change 1 4-4 Percent of Change 1 4-5 4-6 1 1 Applying Ratios to Probability Probability of Compound Events Chapter Review Student Testing Ch. 1-4 FCAT Review, Real world applications M.A.E. 1.4.3 M.A.E. 2.4.2 M.A.E. 3.4.1 M.A.E. 2.4.1 M.A.E. 2.4.2 MC, GR Riverdeep: MC, GR, ER Activity – Ratios & Probability Activity – Independent Events Activity – Sample Space and Probability Activity – Dependent Events Test – Ratios & Probability Percent of change, percent of increase, percent of decrease, greatest possible error, percent error Probability, outcome, event, sample space, theoretical probability, complement of an event, experimental probability Independent events, dependent events Consult NCTM website and publications as excellent resources to add relevance DW Item #s 5 Total Days Curriculum and Pacing Guide Mathematics: Algebra I Regular Chapter 5: Graphs and Functions Block Days Section 1 5-1 Relating Graphs to Events 1 5-2 5-3 Relations and Functions Function Rules, Tables, and Graphs (omit absolute values 5-4 5-5 Writing a Function Rule Direct Variation 12-1 5-6 Inverse variation Describing Number Patterns 2 Topic M.A.D. 1.4.1 M.A.D. 1.4.2 M.A.E. 1.4.1 M.A.D. 1.4.1 M.A.D. 1.4.1 M.A.D. 1.4.1 M.A.B. 1.4.3 M.A.D. 1.4.1 M.A.E. 1.4.1 M.A.A. 5.4.1 M.A.D. 1.4.1 M.A.D. 2.4.1 FCAT Type MC, GR MC, GR MC, GR, ER Extensions Vocabulary Riverdeep: Activity – Functions Test – Relations and Functions Riverdeep: Activity – Table of Values Activity – Dependent and Independent Variables Riverdeep: Activity – Direct Variation Activity – Inverse Variation 1 Activity – Inverse Variation 2 Test – Direct and Inverse Variation Relation, domain, range, function, verticalline test DW Item #s Function rule, function notation Independent variable, dependent variable Direct variation, constant of variation Inverse variation Inductive reasoning, conjecture, sequence, term, arithmetic sequence, common difference Chapter Review Student Testing Ch. 1-5 FCAT Review 1 1 6 Benchmarks Total Days First Half Course Content and Instruction Midterm Prep & Exam Flex Days Blocks 37 3 2 Total Days 42 Midterm Note: Begin Chapter 6 before end of first semester Reminder: All tests should be cumulative. For example, the Chapter 6 Review and test should include key review problems from Chapters 1-5. Increase relevance by including real-world applications from sources such as the NCTM website and publications. Curriculum and Pacing Guide Mathematics: Algebra I Regular Chapter 6: Linear Equations and Their Graphs Block Days Section Topic 1 6-1 Rate of Change and Slope M.A.B. 2.4.2 MC, GR M.A.C. 3.4.2 M.A.D. 1.4.1 1 6-2 Slope-Intercept Form M.A.C. 3.4.2 MC, GR M.A.D. 1.4.1 1 6-3 Standard Form M.A.D. 1.4.1 MC, GR 2 6-4 1 6-5 Parallel and Perpendicular Lines M.A.C. 2.4.1 MC, GR M.A.C. 3.4.2 M.A.D. 1.4.2 1 6-6 Scatter Plots and Equations of Lines M.A.D. 1.4.1 M.A.E. 1.4.1 M.A.D. 1.4.1 M.A.D. 1.4.2 Point-Slope Form and M.A.C. 3.4.2 Writing Linear Equations M.A.D. 1.4.1 M.A.E. 1.4.1 6-7 Graphing Absolute Value Equations Chapter Review Student Testing Ch. 1-6 FCAT Review 1 8 Total Days Benchmarks FCAT Type MC, GR, ER MC, GR, ER Extensions Riverdeep: Activity - Rate of Change & Slope Test – Slope and Rate of Change Riverdeep: Activity – Slope Intercept Form Test – Slope Intercept Form Riverdeep: Activity – Point Slope Form Riverdeep: Activity – Parallel & Perpendicular Test – Parallel & Perpendicular Riverdeep: Activity – Scatter Plots Vocabulary Rate of change, slope Linear equation, y-intercept, slope-intercept form Standard form of a linear equation, x-intercept Point-slope form Parallel lines, perpendicular lines, negative reciprocal DW Item #s Curriculum and Pacing Guide Mathematics: Algebra I Regular Chapter 7: Systems of Equations and Inequalities Block Days Section Topic Benchmarks 1 7-1 Solving Systems by Graphing M.A.C. 3.4.2 M.A.D. 2.4.2 FCAT Type MC, GR, SR 1 7-2 Solving Systems Using Substitution M.A.A. 3.4.2 M.A.D. 2.4.2 MC, GR, SR 1 7-3 Solving Systems Using Elimination M.A.D. 2.4.2 MC, GR, SR 1 7-4 1 7-5 Applications of Linear Systems Linear Inequalities M.A.B. 1.4.2 M.A.D. 2.4.2 M.A.D. 1.4.1 MC, GR, SR MC, GR Riverdeep: 1 7-6 Systems of Linear Inequalities M.A.D. 2.4.2 MC, GR, SR 1 Chapter Review Student Testing Ch. 17 1 FCAT Review and real-world applications 8 Total Days Extensions Riverdeep: Activity – Solving Systems by Graphing Test – Solving Systems Riverdeep: Activity – Solving Systems by Substitution Riverdeep: Activity – Solving Systems by Elimination Vocabulary W Item # System of linear equations, solution of a system of linear equations, no solution, infinitely many solutions Substitution method Elimination method Activity – Linear Inequalities Riverdeep: Activity – Systems of Linear Inequalities Riverdeep: Test – Solving Systems of Equations w/ Inequalities Consult NCTM website and publications for excellent examples to add relevance. DD Curriculum and Pacing Guide Mathematics: Algebra I Regular Chapter 8: Exponents and Exponential Functions Block Days Section Topic Benchmarks 1 8-1 Zero and Negative Exponents 1 8-2 Scientific Notation M.A.A. 1.4.4 M.A.A. 2.4.2 M.A.A. 3.4.3 M.A.A. 1.4.2 M.A.A. 1.4.4 M.A.A. 2.4.2 2 8-3 Multiplication Properties of Exponents 8-4 More Multiplication Properties of Exponents 8-5 Division Properties of Exponents 0 MC, GR MC, GR Extensions Chapter Review Student Testing Ch. 1-8 1 FCAT Review Total Days Vocabulary Riverdeep: Activity – Zero & Negative Exponents Riverdeep: Activity – Scientific Notation Test – Scientific Notation Riverdeep: Activity – All Properties of Exponents 8-6 8-7 8-8 1 6 M.A.A. 3.4.1 M.A.A. 3.4.2 M.A.A. 3.4.3 M.A.A. 3.4.1 M.A.A. 3.4.2 M.A.A. 3.4.3 M.A.A. 3.4.1 M.A.A. 3.4.2 M.A.A. 3.4.3 FCAT Type MC, GR Riverdeep: Test – Properties of Exponents Scientific notation DW Item #s Curriculum and Pacing Guide Mathematics: Algebra I Regular Chapter 9: Polynomials and Factoring Block Days Section Topic Benchmarks 1 9-1 Adding and Subtracting Polynomials M.A.A. 3.4.2 M.A.D. 1.4.1 1 9-2 Multiplying and Factoring M.A.A. 3.4.2 M.A.B. 1.4.1 M.A.D. 1.4.1 MC, GR, SR 1 9-3 Multiplying Binomials MC, GR, SR 1 9-4 Multiplying Special Cases M.A.A. 3.4.1 M.A.B. 1.4.1 M.A.D. 1.4.1 M.A.A. 3.4.2 M.A.B. 1.4.1 M.A.A. 3.4.2 M.A.D. 1.4.1 MC, GR M.A.A 3.4.2 M.A.D. 1.4.1 MC, GR M.A.A. 3.4.2 M.A.D. 1.4.1 MC, GR M.A.A. 3.4.2 M.A.D. 1.4.1 MC, GR 1 9-5 1 9-6 1 9-7 1 9-8 1 1 Quiz Factoring Trinomials of the Type x2 + bx + c Factoring Trinomials of the Type ax2 + bx + c Factoring Special Cases Factoring by Grouping Chapter Review Student Testing Ch. 1-9 FCAT Review and Real-world FCAT Type MC, GR MC, GR, SR Extensions Riverdeep: Activity – Adding and Subtracting Polynomials Vocabulary Monomial, degree of a monomial, polynomial, standard form of a polynomial, degree of a polynomial, binomial, trinomial Riverdeep: Activity – Multiplying Polynomials Activity – Factoring Polynomials Test – Adding & Subtracting Polynomials Riverdeep: Activity – Multiplying Binomials Riverdeep: Activity – Difference of Squares Riverdeep: Activity – a^2 + bx + c factoring Riverdeep: Activity – ax^2 + bx +c Factoring Riverdeep: Activity – Factoring Special Cases Perfect-square trinomial Factor by grouping Test – Factoring Special Cases and Trinomials Consult NCTM website and publications for excellent sources to DW Item #s applications 10 Total Days add relevance. Curriculum and Pacing Guide Mathematics: Algebra I Regular Chapter 10: Quadratic Equations and Functions Block Days Section Topic Benchmarks 1 10-1 10-2 MA.D.1.4.2 1 10-3 Exploring Quadratic Graphs, Functions Finding and Estimating Square Roots 0 1 10-6 10-7 1 10-8 0 1 10-9 6 Total Days MC, GR Riverdeep: Activity – Quadratic Formula Quadratic formula MC, GR, SR Riverdeep: Activity – Using the Discriminant Discriminant MC, GR Using the M.A.A. 3.4.2 Quadratic Formula M.A.A. 3.4.3 M.A.D. 1.4.1 Using the M.A.D. 1.4.1 Discriminant M.A.D. 1.4.2 FCAT/Chapter Review Student Testing Ch. 1-10 Vertex, axis of symmetry, intercepts Square root, principal square root, negative square root, radicand, perfect squares Quadratic equation, standard form of a quadratic equation M.A.A. 3.4.2 M.A.D. 1.4.1 Factoring to Solve Quadratic Equations Vocabulary Riverdeep: Activity – Estimating Square Roots Activity – Solving Quadratics by Graphing Test – Exploring Quadratics Riverdeep: Activity – ZeroProduct Property MC, GR, SR Solving Quadratic Equations 10-5 Activity – Quadratic Equations M.A.A. 1.4.2 M.A.A. 1.4.4 M.A.A. 2.4.2 M.A.D. 1.4.1 M.A.D. 1.4.2 10-4 1 FCAT Extensions Type MC,GR,SR Riverdeep: Riverdeep: Test - Solving and Factoring Quadratic Equations Zero-product property DW Item #s Curriculum and Pacing Guide Mathematics: Algebra I Regular Chapter 11: Radical Expressions and Equations Block Days Section Topic Benchmarks 1 11-1 Simplifying Radicals 1 11-2 The Pythagorean Theorem M.A.A. 1.4.1 M.A.A. 2.4.2 M.A.A. 3.4.3 M.A.A. 2.4.2 M.A.B. 1.4.2 M.A.C. 3.4.1 1 11-3 The Distance and M.A.B. 1.4.2 Midpoint Formulas M.A.B. 2.4.1 M.A.C. 3.4.2 11-4 1 11-5 11-6 11-7 1 5 Total Days FCAT Type MC, GR MC, GR, SR MC, GR, SR Extensions Vocabulary Riverdeep: Activity – Simplifying Radicals Radical expression, rationalize Riverdeep: Activity – Pythagorean Theorem Test – Pythagorean Theorem Hypotenuse, leg, Pythagorean Theorem, conditional, hypothesis, conclusion, converse Distance formula, midpoint, midpoint formula Like radicals, unlike radicals, conjugates Radical equation, extraneous solution Trigonometric Ratios Objective 1a only FCAT/Chapter Review Student Testing Ch. 1-11 Sine, Cosine, Tangent DW item #s Curriculum and Pacing Guide Mathematics: Algebra I Regular Chapter 12: Rational Expressions and Functions Block Days Section Topic Benchmarks 1 Taught with Chapter 5 12-1 Inverse Variation M.A.A. 3.4.1 M.A.D. 1.4.1 M.A.D. 1.4.2 0 12-2 12-3 12-4 12-5 12-6 12-7 12-8 12-9 1 Total days Second Half Course Content Instruction Final Prep & Exam Flex Days Total Days Blocks 44 2 2 48 FCAT Type MC, GR, SR Extensions See Chapter 5 for extensions Vocabulary Inverse variation, constant of variation DW Item #s