Pacing Guide Algebra 1

Pacing GuideAlgebra 1Chapter 1: Equations and Inequalities (one variable)SectionSection TitleLearning Target(s)I can # of Days11.2Evaluate andSimplify AlgebraicExpressions1.1Apply Properties ofReal Numbers1.3Solve LinearEquations1. Evaluate and simplify numeric and algebraicexpressions (order of operations)2. Classify real numbers and describe how the subsets ofthe real numbers are interrelated. (1.1)3. Estimate square roots and graph real numbers on anumber line. (1.1)4. Identify and use properties of real numbers. (1.1)125. Solve linear equations6. Solve real world problems using linear equations1QUIZ1.41.51.61Rewrite Formulasand Equations7. Rewrite and evaluate formulas and equationsUse ProblemSolving Strategiesand Models8. Solve real world problems using formulas, patterns,diagrams, and equationsSolve LinearInequalities19. Solve linear inequalities in one variable and apply toreal world problems.10. Solve compound linear inequalities and apply to realworld problems.33REVIEW andTESTTotal Days 13

Chapter 2A: Linear Equations and Functions (2 variables)Learning Target(s)SectionSection TitleI can 1. Represent relations as ordered pairs, tables, graphs, andmappings, and identify their domains and ranges.Represent2. Use the definition of a function to justify whether aRelations andrelation is a function, and apply the Vertical Line Test.2.1Functions3. Graph equations in 2 variables (table).4. Evaluate functions in function notation (equations andgraphs).# of Days41QUIZ2.2Find Slope andRate of Change2.3Graph Equationsof Lines2.4Write Equations ofLines25. Calculate the slope of a line and determine whether twolines are parallel, perpendicular, or neither.6. Graph linear functions (using slope and y-intercept, xand y-intercepts).7. Graph horizontal and vertical lines.8. Write linear equations in point-slope form, slope-interceptform, and standard form (given slope & y-intercept, slope &point, 2 points).9. Write equations of parallel and perpendicular lines.10. Model real world situations with linear equations.121QUIZ2.6Draw ScatterPlots and BestFitting Lines11. Describe correlation and estimate correlationcoefficients.12. Approximate a best-fitting line and use to makepredictions (by hand and with GC).13. Plot and analyze residuals to determine how well alinear model fits a set of data.23REVIEWTESTTotal Days 16

Chapter 2B: Absolute Value and InequalitySectionSection Title(days subject to change)1.7Solve Absolute ValueEquations and Inequalities(2 days)2.7Use Absolute ValueFunctions andTransformations(2 days)# of DaysLearning Targets: I can 1. Solve absolute value equations andinequalities.2. Solve real world problems using absolutevalue equations and inequalities.3. Graph and write absolute value functionsusing transformations.4. Graph the transformations of piecewisefunctions.222QUIZ2.8Graph Linear Inequalities inTwo Variables(2 day)6. Determine if an ordered pair is a solution of alinear inequality.7. Graph inequalities in two variables and applyto real world problems.23Review andTestTotal Days 11

Chapter 3- Systems of EquationsSectionSection Title3.1Solve Linear Systemsby Graphing3.2Solve Linear SystemsAlgebraicallyLearning Target(s)I can # of Days11. Solve a system of two linear equationsgraphically (no, infinitely many solutions).2. Solve a system of two linear equations usingsubstitution.3. Solve a system of two linear equations usingelimination.4. Use systems of equations to solve real worldproblems.5. Solve a system of two linear equations using aGC.31QUIZ3.43.3Solve Systems of LinearEquations in ThreeVariablesGraph Systems ofLinear Inequalities6. Solve a system of three linear equations usingsubstitution and elimination (by hand, with GC).27. Graph a system of inequalities (incl. absolutevalue).8. Use systems of inequalities to solve real worldproblems.13REVIEWTESTTotal Days 11

Chapter 7: Exponential FunctionsSectionSection Title5.1Properties of ExponentsQUIZ7.1-7.2Graph Exponential Growthand Decay Functions7.1-7.2Exponential Growth andDecay Functions7.37.67.7, 11.5REVIEWAND TESTUse Functions Involving eSolve ExponentialEquationsWrite and ApplyExponential and PowerFunctions# of DaysLearning Targets: I can 1.Use properties of exponents to simplifyexpressions.2. Distinguish between situations that can bemodeled with linear functions and with exponentialfunctions and describe their respective rates ofchange.3. Recognize and graph exponential functions withbase a, identifying their key characteristics (domain,range, intercept, asymptote).4. Graph exponential functions using parent functionand transformations.5. Distinguish between exponential growth andexponential decay.6. Write and evaluate exponential functions to modelreal-world growth and decay situations.7. Define e.8. Graph natural base (e) functions using parentfunction and transformations.9. Write and evaluate natural base (e) functions tomodel real-world situations.10. Use the one-to-one property to solve exponentialequations11. Use a GC to solve exponential equations12. Use a GC to solve a system of equations (linear,absolute value, quadratic, polynomial, exponential).212211113. Use regression to write a model for a set of data.14. Make predications based on the model.3Total Days 13

Chapter 12: Sequences and Series# of DaysLearning Targets: I can SectionSection Title12.1Define and Use Sequences and Series(1 day)12.2Analyze Arithmetic Sequences andSeries(2 days)4. Identify an arithmetic sequence5. Write the rule for an arithmetic sequence6. Calculate the sum of an arithmetic series12.3Analyze Geometric Sequences andSeries(2 days)7. Identify a geometric sequence8. Write the rule for a geometric sequence9. Calculate the sum of a geometric series12.4Find Sums of Infinite Geometric Series(1 day)10. Calculate the sum of an infinite geometricseries12.5Use Recursive Rules with Sequencesand Series(2 days)11. Write the terms in a sequence expressedrecursively12. Write recursive rules for sequences1. Write the terms in a sequence2. Write the rule for a sequence3. Calculate the sum of a series122123REVIEWTESTTotal Days11Semester Exam

Chapter 4A- Intro to Polynomials and Factoring (5.3, 4.3-4.6)SectionSection Title4.3, 5.35.35.3Classify Polynomials and Operations on PolynomialsMultiply PolynomialsSpecial Product PatternsLearning Targets: I can 1. Define and classify polynomials(monomial, binomial, trinomial) andwrite them in standard form. (4.3)2. Add and subtract polynomialfunctions. (5.3)3. Multiply polynomial functions(distribute). (5.3)# ofDays114. Multiply polynomial functions. (5.3)5. Recognize and apply specialproduct patterns (square of abinomial, sum & difference, cube of abinomial). (5.3) Pascal’s Triangle21QUIZ4.3-4.4Factor by Greatest Common Factor6. Factor by finding a greatestcommon factor. (4.3-4.4)124.3-4.44.3-4.4Factor TrinomialsFactor with Special Patterns7. Factor trinomials. (4.3-4.4)8. Factor by using special factoringpatterns (difference of squares,perfect square trinomial). (4.3-4.4)224.3-4.4Factor Completely9. Factor quadratic expressionscompletely. (4.3-4.4)1QUIZ4.54.6REVIEWTESTSimplify and Perform Operations on Square RootExpressionsPerform Operations with Complex Numbers10. Simplify expressions containingsquare roots. (45)11. Add & subtract expressionscontaining square roots. (4.5)12. Multiply and divide (byrationalizing) expressions containingsquare roots. (4.5)13. Define, use, and simplifyimaginary and complex numbers(add, subtract, multiply, andrationalize denominators). (4.6)223TotalDays 20

Chapter 4B: Solving Quadratic EquationsSectionSection Title4.3-4.4Solve Quadratic Equationsby Factoring4.5Solve Quadratic Equationsby Finding Square RootsLearning Targets: I can 1. Solve quadratic equations byfactoring. (4.3-4.4)# of Days112. Solve quadratic equations by thesquare root method. (4.5)24.7Complete the Square3. Solve quadratic equations bycompleting the square. (4.7)1QUIZ4.8Use the Quadratic Formulaand the Discriminant4.8Use the Quadratic Formulaand the DiscriminantallREVIEWTEST4. Derive the quadratic formula bycompleting the square.5. Solve quadratic equations by thequadratic formula. (4.8)6. Calculate the discriminant anddetermine the number and type ofsolutions for a quadratic equation.(4.8)27. Identify the pros and cons ofeach method of solving quadraticequations.113Total Days 12

Chapter 4C: Graphs of Quadratic FunctionsSectionSection TitleLearning Targets: I can # of DaysIntro1. Use the graphing calculator to determine key characteristicsof a quadratic function.14.1, 4.2, 4.10Graph QuadraticFunctions inVertex Form2. Recognize the quadratic parent function from its graph, table,or equation and describe its domain, range, and symmetry. (4.1)3. Graph a quadratic function in vertex form using 5 points andidentify its vertex, axis of symmetry, y-intercept, x-intercept(s),and max/min. (4.2)4. Write quadratic functions in vertex form given the vertex anda point. (4.10)14.2, 4.10Graph QuadraticFunctions inIntercept Form5. Graph a quadratic function in intercept form using 5 pointsand identify its vertex, axis of symmetry, y-intercept, xintercept(s), and max/min. (4.2)6. Write quadratic functions in intercept form given twointercepts and a point. (4.10)2QUIZ14.1Graph QuadraticFunctions inStandard Form7. Graph a quadratic function in standard form using 5 pointsand identify its vertex, axis of symmetry, y-intercept, xintercept(s), and max/min. (4.1)14.2RewriteQuadraticFunctions8. Rewrite a given quadratic function in a different form(standard, vertex, intercept). (4.2)1Solve QuadraticEquations byGraphing9. Describe the relationship among factors, x-intercepts,solutions, roots, and zeros.10. Solve quadratic equations by graphing, both with andwithout a GC and apply them to real-world problems.1Write QuadraticFunctions11. Write quadratic functions in standard form given 3 points(GC). (4.10)11. Find best-fitting models and make predictions from data(quadratic regression on GC). (4.10)14.10REVIEWTEST3Total Days12

Chapter 4D-Quadratic Inequalities and SystemsTextbookTitle4.9Graph QuadraticInequalities4.94.11REVIEW QUESTSystems ofInequalitiesSolve Systems ofEquationsLearning Objectives# of Days12. Graph quadratic inequalitiesand systems of quadraticinequalities on the coordinate plane.(4.9)213. Graph systems of inequalitiesinvolving linear, quadratic andabsolute value functions.114. Solve systems of equations(linear and/or quadratic) by handand using a GC.12Total Days 6

Chapter 5-Polynomial BasicsSectionSection TitleReview5.2, 5.45.45.45.45.4FactoringMethodsClassifyPolynomials andFactor by GCFSpecialPolynomialFactoringPatternsFactor byGroupingFactorPolynomialsCompletelyFactor and SolvePolynomialEquationsLearning Targets: I can # of Days1Factor by finding the GCF, differences of squares, and trinomials1. Define and classify polynomials (by degree) and write them instandard form.2. Factor a polynomial by finding the greatest common factor. (5.4)14. Factor a polynomial by grouping.5. Factor higher degree polynomials written in quadratic form.13. Factor a polynomial by using special factoring patterns.(Differences and Sums of Cubes)26. Factor polynomials completely.17. Solve polynomial equations by factoring. (5.4)1QUIZ5.75.2, 5.8Apply theFundamentalTheorem ofAlgebraAnalyze Graphsof PolynomialFunctions withthe GraphingCalculatorGraphs of𝑦 𝑎(𝑥 ℎ)3 𝑘REVIEWTEST8. Write a polynomial equation of least degree with given roots.(both real and complex) (5.7)9. Determine the zeros of a polynomial function by factoring and/orquadratic formula.9. Describe the end behavior of a polynomial function with andwithout the GC. (5.2)10. Use a GC to find the local maximum(s) and minimum(s), realzero(s), y-intercept, and domain & range of a polynomial function.(5.8)11. Graph the parent function 𝑦 𝑥 3 and all of its transformationswithout the GC.1113Total Days 13