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MCPS Algebra I Honors Pacing Guide2016-17TopicsBig IdeasManipulativesSuggested Pacing (days + 2 days for projects each quarter)Calculator SkillsStandards of LearningSuggested ProjectsIXL ModulesRequired Projects: 1st Quarter: Chpt. 2 – The Big Dig 2nd Quarter: Chpt. 5 – CSI – How Tall are the Victims 3rd Quarter: Chpt. 6 – (to be added) 4th Quarter: Chpt. 9 – (to be added)Unit 1: Pre-Algebra-Verbal Translations, Evaluating Expressions and Function NotationPH Chapter 1 Big Ideas:Translating verbal and algebraic expressionEvaluate expressions containing:Absolute ValueSquare RootsCube RootsModel real-world/practical problems with expressionsMANIPULATIVES: Algeblocks/Algebra Tiles10 daysCalculator Skills:I can store a value for a variable.I can use stored values to evaluate a variable expression.I can convert fractions to decimals and vice versa.I can access the menu and successfully enter:a fractionabsolute valuean exponenta square roota cube rootSOL A.1 Represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables.Suggested Projects/Activities:VDOE ESS Evaluating and Simplifying Expressions (SOL A.1) VDOE ESS Translate and Evaluate (SOL A.1)Theme Park Tycoon (Write and evaluate expressions based on a hypothetical theme park)IXL Modules:B.3, B.7, I.1, I.4District Sample Assessment #1 (IA document)Unit 2: Multi-step Equations and PropertiesPH Chapter 2 (Lessons 1-5)Big Ideas:Justifying steps in solving equationsSolving multi-step linear equations algebraically, including literal equationsSolving multi-step linear equations graphically Determining the number of solutions for an equationDetermining whether a given number is a solution15 daysCalculator Skills:I can use a stored value for a specific variable to check my solution for an equation.I can graph both sides of an equation and find the point of intersection.I can use nSolve to solve an equation.I can test additional values for a variable if nSolve returns a solution of 0.SOL A.4 Solve multistep linear equations in two variables, including a) solving literal equations (formulas) for a given variable; b) justifying steps used in simplifying expressions and solving equations using field properties and axioms of equality that are valid for the set of real numbers and its subsets; and d) solving multistep linear equations algebraically and graphicallySuggested Projects/Activities:VDOE ESS Cover-Up Problems (SOL A.4)VDOE ESS Algebra Tiles and Equation Solving (SOL A.4)VDOE ESS Solving Linear Equations (SOL A.4)VDOE ESS Solve for the Unknown (SOL A.4)The Big Dig (Given formulas from Archeologists and forensic scientists, calculate human physical characteristics) (Chapter 2 Project)IXL Modules:H.1, H.2, H.3, H.4, J.1, J.2, J.3, J.4, J.5, J.6, J.7, J.8, J.9, I.3, S.9District Sample Assessment # 2Unit 3: Multi-step Inequalities and Properties PH Chapter 3 *Leave Lessons 3-5, 3-7, and 3-8 until after SOL testingBig Ideas:Solve a multi-step inequality with one variable and graph the solutionJustifying steps in solving linear inequalitiesSolving multi-step linear equations algebraically and graphicallySolving compound inequalitiesTesting possible solutions6 daysCalculator Skills:I can access the template of inequality symbols.I can use nSolve to find the endpoint of the solution by replacing the inequality symbol with an equal sign.I can test for the correct inequality symbol by storing a value and inputting the inequality.SOL A.5 Solve multistep linear inequalities in two variables, including a) solving multistep linear inequalities (in one variable) algebraically and graphically; b) justifying steps used in solving inequalities, using axioms of inequality and properties of order that are valid for the set of real numbers and its subsets: c) solving real-world problems involving inequalities (in one variable) Suggested Projects/Activities:VDOE ESS Greetings (SOL A.5) VDOE ESS Inequalities (SOL A.5)IXL Modules:T.1, T.4, K.1, K.2, K.7, K.8, K.9, K.10, K.11District Sample Assessment #3 Unit 4: FunctionsPH Chapter 4 Big Ideas:Function notationFunction representationsDetermining whether a function existsDomain & range12 daysCalculator Skills:I can graph a function.I can view the table of a graphed function.I can turn on the grid for the coordinate plane.I can change the window.I can use a spreadsheet to calculate the range values given the function and domainSOL A.7 Investigate and analyze linear function families and their characteristics both algebraically and graphically, includinga) determining whether a relation is a function;b) domain and range;e) finding the values of a function for elements in its domain; andf) making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic.Suggested Projects/Activities:VDOE ESS Functions 1 (SOL A.7)VDOE ESS Square Patios (SOL A.7 –includes both linear and quadratic relationships)VDOE ESS Functions 2 (SOL A.7 – includes both linear and quadratic relationships)IXL Modules:Q.2, Q.4, Q.5, Q.6, Q.7, Q.8, Q.9, Q.10, Q.12District Sample Assessment #4 Unit 5: Linear Equations and InequalitiesPH Chapter 5PH Lesson VA-4Big Ideas:SlopeDirect VariationWriting and graphing linear equationsx- and y- interceptsLine of best fit23 daysCalculator Skills:I can graph a line written in slope-intercept form on the graphing calculator.I can graph a line written in standard form on the graphing calculator.I can graph a vertical line on the graphing calculator.I can change the trace step.I can trace a line and plot points with integer coordinates on a line that is graphed. I can use the trace function to identify the x- and y- intercepts of a line that is graphed.I can enter two or more ordered pairs into a spreadsheet and calculate the slope and y-intercept of the line.I can access the table of values to identify points on a graphed line when it is available.I can enter data into a spreadsheet.I can graph the data in a spreadsheet.I can calculate the line of best fit.I can use the stored equation for the line of best fit to make predictionsSOL A.6 Graph linear equations and linear inequalities in two variables, including a) determining the slope of a line when given an equation of the line, the graph of the line, or two points on the line; and b) writing the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line. SOL A.7 Investigate and analyze linear function families and their characteristics both algebraically and graphically, including d) x- and y-intercepts; and f) making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic. SOL A.8 Given a situation in a real-world context, analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically.SOL A.11 - Collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using mathematical models. Mathematical models will include linear and quadratic functions.Suggested Projects/Activities:VDOE ESS The Submarine (SOL A.6)VDOE ESS Slippery Slope (SOL A.6)VDOE ESS Transformationally Speaking (SOL A.6)VDOE ESS Transformation Investigation (SOL A.6)VDOE ESS Slope-2-Slope (SOL A.6)VDOE ESS Equations of Lines (SOL A.6)CSI – How Tall are the Victims? (ti.education activity using scatter plots to determine the height of a victim using his/her foot size)Fast Talker – (Time yourself and classmates reading a tongue twister and make a scatter plot)IXL Modules:N.6, N.7, R.2, R.4, R.5, R.6, R.7, R.8, S.2, S.3, S.5, S.7, S.8, S.13, S.14, S.17, S.18, S.19District Sample Assessment #5 Unit 6: System of Linear Equations and Inequalities PH Chapter 6 Big Ideas:Solving systems of linear equations and inequalities algebraically and graphicallySolving systems of linear equations - by graphing, substitution or eliminationDetermining whether a solution is valid14 daysCalculator Skills:I can graph an inequality in two variables.I can graph a system of equationsI can find the point of intersection on a system of equations.I can use System Solver to enter and solve a system of equations.I can graph a system of inequalities.I can test a stored ordered pair (stored for x and y) to determine if it is a solution to an inequality in two variables.I can test a stored ordered pair to determine if it is a solution to a system of inequalities.SOL A.4 Solve multistep linear equations in two variables, including e) solving systems of two linear equations in two variables algebraically and graphically; and f) solving real-world problems involving equations and systems of equations. SOL A.5 Solve multistep linear inequalities in two variables, including a) solving multistep linear inequalities algebraically and graphically; b) justifying steps used in solving inequalities, using axioms of inequality and properties of order that are valid for the set of real numbers and its subsets: c) solving real-world problems involving inequalities; and d) solving systems of inequalitiesSuggested Projects/Activities:VDOE ESS Spring Fling Carnival (SOL A.4)VDOE ESS Road Trip (SOL A.4)VDOE ESS The Exercise Fields (SOL A.4)VDOE ESS How Much Is That Tune? (SOL A.4)VDOE ESS Graphing Systems of Inequalities (SOL A.5)Project on systems of linear equations to be addedIXL Modules:T.5, T.6,U.2, U.8, U.10, U.14District Sample Assessment #6 Midterm Exam Unit 7: Laws of Exponents PH Chapter 7 Big Ideas:Simplify expressions using the laws of exponents13 daysCalculator Skills:I can use the exponent key to enter a negative exponent.SOL A.1 Represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables. SOL A.2 Perform operations on polynomials, including a) applying the laws of exponents to perform operations on expressions. Suggested Projects/Activities:VDOE ESS Exponents (SOL A.2)VDOE ESS Scientifically Speaking (SOL A.2)IXL Modules:V.1, V.2, V.3, V.4, V.5, V.6, V.7, V.8, V.9, Geometry A.3District Sample Assessment #7Unit 8: Operations on Polynomials and FactoringPH Chapter 8Big Ideas:Simplifying polynomial expressionsFinding and factoring out the GCFCompletely factoring polynomialsModel factoringManipulatives:Algebra Tiles or Algeblocks 11 daysCalculator Skills:I can use the factor function to find the prime factorization of a whole number.I can locate the x-intercepts on a graph using the trace function in order to find the factors of a polynomial.I can locate the zeros (x-intercepts) on a graph using the analyze graph function in order to find the factors of a polynomial.I can use the polynomial tools function to identify the zeros in order to find the factors of a polynomial.I can graph a polynomial with one variable and its factored form to verify the factors are correct.SOL A.2 - Perform operations on polynomials, including b) adding, subtracting, multiplying, and dividing polynomials; and c) factoring completely first- and second-degree binomials and trinomials in one or two variables. Suggested Projects/Activities:VDOE ESS Adding and Subtracting Polynomials Using Algebra Tiles (SOL A.2) VDOE ESS Multiplying Polynomials Using Algebra Tiles (SOL A.2)IXL Modules:Z.1, Z.2, Z.3, Z.4, Z.5, Z.6, Z.7, Z.8, Z.9, Z.10, AA.1, AA.2, AA.3, AA.4, AA.5, AA.6, AA.7, AA.8, Geometry A.9District Sample Assessment #8Unit 9: Radicals and QuadraticsPH Chapter 9 PH Lesson 10-2 PH Lesson VA-1PH Lessons VA-2 and VA-3PH Lessons 12-2, 12-3, and 12-4PH Lesson VA-5 and VA-6Big Ideas: Write square root expressions and cube roots in simplest radical formDetermining the number of solutions for a quadratic equationSolving and graphing quadratic equationsSolving real-world problems involving quadratic equations21 daysCalculator Skills:I can graph a quadratic equation on the graphing calculator.I can trace the graph of a quadratic equation to find the x- and y- intercepts as well as the zeros (roots, solutions).I can use the Maximum or Minimum function to find the y-value of the range.I can use Polynomial Tools to find the roots/solutions of a quadratic equation.I can work backwards to find the factors of a quadratic equation by using Polynomial Tools.SOL A.3 - Express the square roots and cube rubes of whole numbers and the square root of a monomial algebraic expression in simplest radical form.SOL A.4 - Solve multistep quadratic equations in two variables, including c) solving quadratic equations algebraically and graphically; and f) solving real-world problems involving equations and systems of equations. SOL A.7 - Investigate and analyze quadratic function families and their characteristics both algebraically and graphically, including b) domain and range; c) zeros of a function; d) x- and y-intercepts; e) finding the values of a function for elements in its domain; and f) making connections between and among multiple representations of functions including concrete, verbal, numeric, graphic, and algebraic. SOL A.11 - Collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve real-world problems, using mathematical models. Mathematical models will include linear and quadratic functions. Suggested Projects/Activities:VDOE ESS Simplifying Square Roots (SOL A.3)VDOE ESS Simply Radical (SOL A.3)VDOE ESS Line of Best Fit (SOL A.11)VDOE ESS Linear Curve of Best Fit (SOL A.11)VDOE ESS Quadratic Curve of Best Fit (SOL A.11)VDOE ESS Square Patios (SOL A.7 – includes both linear and quadratic relationships)VDOE ESS Functions 2 (SOL A.7 – includes both linear and quadratic relationships)VDOE ESS Factoring for Zeros (SOL A.4)Angry Birds (5 versions) (Create parabolas with flying angry birds)Project using CBL to be added IXL Modules:A.7, A.8, EE.1, EE.2, EE.3, Q.2, BB.6District Sample Assessment #9 Unit 10: Statistics/Direct and Inverse Variation PH Lesson 11-6 PH Lesson 5-7PH Concept Byte pg. 581PH Lesson VA-7Big Ideas:Represent direct variation algebraically and graphicallyRepresent inverse variation algebraically (Example – a fulcrum and lever with weights or a seesaw)Calculate and interpret mean absolute deviation, standard deviation, and z-scoresCompare and contrast box-and-whisker plots13 daysCalculator Skills:I can enter data into a spreadsheet.I can graph the data in a spreadsheet.I can calculate the curve (linear or quadratic) of best fit.I can use the stored equation for the curve (linear or quadratic) of best fit to make predictions.I can locate the following statistics in the list of One Variable StatisticsMeanMedianStandard deviationSOL A.8 Given a situation in a real-world context, analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically.SOL A.9 - Given a set of data, interpret variation in real-world contexts, calculate and interpret mean absolute deviation, standard deviation, and z-scores. *Make sure students can determine how many standard deviations a data element is from the mean. SOL A.10 - Compare and contrast multiple univariate data sets, using box-and-whisker plots. *Note that this SOL does not require students to create box-and-whisker plots; it requires students to use them to compare multiple sets of data.Suggested Projects/Activities:VDOE ESS Direct Variation (SOL A.8)VDOE ESS Box-and-Whisker Plots (SOL A.10)VDOE ESS Exploring Statistics (SOL A.9)VDOE ESS Calculating Measures of Dispersion (SOL A.9)VDOE ESS z-Scores (SOL A.9)VDOE ESS Analyzing and Interpreting Statistics (SOL A.9)IXL Modules:KK.7, KK.8, N.5Division Common Simulation *Simulation should be administered at least 3 weeks prior to SOL testingReview, SOL Testing, and Enrichment for remainder of year ................
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