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ACCELERATED6/7MATHEMATICSCURRICULUM GUIDELoudoun County Public Schools2017-2018AddendumOverview, Scope and Sequence, Unit Summaries, Process Goals: Classroom Routines,Curriculum Framework, Learning Progressions(additional attachments: NCSM Great Tasks SOL Alignment)Additional resources may be found on the Secondary Math Resources VISION site: http://vision.lcps.org/Search: Math—Secondary Resources

INTRODUCTION TO LOUDOUN COUNTY’S MATHEMATICS CURRICULUM GUIDEThis CURRICULUM GUIDE is a merger of the Virginia Standards of Learning (SOL) and theMathematics Achievement Standards for Loudoun County Public Schools. The CURRICULUM GUIDE includesexcerpts from documents published by the Virginia Department of Education. Other statements, such assuggestions on the incorporation of technology and essential questions, represent the professionalconsensus of Loudoun’s teachers concerning the implementation of these standards.This CURRICULUM GUIDE is the lead document for planning, assessment, and curriculum work.NAVIGATING THE LCPS MATHEMATICS CURRICULUM GUIDEThe Curriculum Guide is created to link different components of the guide to related information from theVirginia Department of Education, resources created by Loudoun County Public Schools, as well as vetted outside resources.To navigate the curriculum guide, click on the hyperlink (if in MSWord, hold the [ctrl] button and left click with the mouse on thehyperlink). It will direct you to either another resource within the curriculum guide, or to a website resource.If you’re directed to a resource within the curriculum guide, to “go back,” hold the [alt] key and press the left arrow button.Mathematics Internet Safety Procedures1. Teachers should review all Internet sites and links prior to using it in the classroom. Duringthis review, teachers need to ensure the appropriateness of the content on the site, checkingfor broken links, and paying attention to any inappropriate pop-ups or solicitation ofinformation.2. Teachers should circulate throughout the classroom while students are on theinternet checking to make sure the students are on the appropriate site and are notminimizing other inappropriate sites.3. Teachers should periodically check and update any web addresses that they have on theirLCPS web pages.4. Teachers should assure that the use of websites correlate with the objectives of the lessonand provide students with the appropriate challenge.

Dates of LCPS Quarters2009 Virginia SOL Testing Blueprint: Test Items by StrandSOL Reporting CategoryNumber, Number Sense,Computation and EstimationMeasurement and GeometryProbability, Statistics,Patterns, Functions, andAlgebraMath 7 SOL7.1a, 7.1b-d*, 7.1e,7.2, 7.3a, 7.3b*, 7.47.5a-c, 7.6, 7.7, 7.87.9, 7.10, 7.11a-b, 7.12,7.13a-b, 7.14a-b,7.15a-b, 7.16a-eNumber ofTest Items(CAT)Number ofTest Items(Traditional)141612131921First QuarterSecond QuarterThird QuarterFourth QuarterStartsAugust 24November 8January 30April 10EndsNovember 3January 26April 6June 13*Items measuring these SOLS will be completed without the use of a calculator.2017 – 2018 School CalendarLCPS Math Accelerated 6/7 Curriculum Guide 2017-2018* Anything in italics and/or larger text is new *

Math Accelerated 6/7 Nine Weeks Overview1st QuarterUnit 1‐Classroom Routines:Process Goals: Classroom RoutinesNUMBER TALKS6.19/7.16 Properties2nd QuarterUnit 1‐Classroom Routines:NUMBER TALKS7.16 Properties7.1 Rational Numbers7.3 Integer Operations7.2 – Solve practical problems (2016)7.2 – Solve practical problems (2016)Unit 2 – Rational Numbers6.5/7.1d Square Roots6.5/7.1a Powers of 107.1b Scientific Notation7.1e Absolute Value6.1 Ratios6.6/6.7 Computation and Estimation with Fractions and Decimals6.2a‐c/6.4 FDP Representation7.1c/6.2d Ordering6.3/7.3a Integer Modeling7.3b Integer Operations6.19/7.16a – e PropertiesUnit 3 – Number Relationships (Cont.)7.2/6.17 Sequences6.11 Coordinate Plane7.12 Functions7.1d EKS – Identify the perfect squares from 0 to 400(2016)8.1 Comparing and Ordering Real Numbers (Pre‐requisite for Algebra)8.3 Square Roots (positive and negative) (Pre‐requisite for Algebra)Unit 3 – Number Relationships6.8 Order of Operations7.13a Translating Expressions7.13b Evaluating Expressions24 blocksLCPS Math Accelerated 6/7 Curriculum Guide 2017-2018Addendum6.8 Solving Practical Problem with coordinate system(2016)7.10 Graph Lines (2016)8.16 Graphing Linear Equations (Pre‐requisite forAlgebra)Unit 4 – Equations & Inequalities6.18/7.14a Solving Equations7.14b Practical Problems with Equations7.15a Solving One Step Inequalities6.20/7.15b Graphing Inequalities7.13 – Solve two‐step inequalities and practicalproblems [Moved from 8.15b] (2016)8.17 – Solve multi‐step equations up to 4 steps (Pre‐requisite for Algebra)8.18 Inequalities (Pre‐requisite for Algebra)Unit 5 – Proportional Reasoning7.4 Proportional Reasoning21 blocks* Anything in italics and/or larger text is new *

Addendum3rd QuarterUnit 1‐Classroom Routines:NUMBER TALKS7.16 Properties7.1 Rational Numbers7.15 Inequalities4th QuarterUnit 1‐Classroom Routines:NUMBER TALKS7.16 Properties7.1 Rational Numbers7.4 Proportional Reasoning7.2 – Solve practical problems (2016)7.2 – Solve practical problems (2016)Unit 5 – Proportional Reasoning (Cont.)7.6 Similar Figures6.6/6.7 Fraction Operations6.12/7.6 Similar FiguresReview & Apply: 7.12Showing Proportional relationships using tables, graphs,rules, & wordsUnit 7 – Probability & Statistics6.16/7.9 Experimental & Theoretical Probability7.10 Fundamental Counting Principle & Compound Probability6.15 Measure of Central Tendency6.14/7.11 Graphs and Comparisons7.5 EKS – Determine unknown side lengths or angle(2016)Curriculum completed by 4‐27‐18SOL Review and AssessmentsUnit 6 – Measurement & Geometry6.13/7.7 Quadrilaterals6.10 Circles, Area, & Perimeter7.8 Transformations6.10d/7.5 Surface Area & VolumeReview & Apply: 6.8, 7.13b, & 7.14aOrder of OperationsEvaluate for Given ValuesSolve V & SA equations for missing attribute7.6b Find missing side lengths and angle measuresusing quadrilateral properties21 blocksLCPS Math Accelerated 6/7 Curriculum Guide 2017-2018Post SOL Topics6.4 Representations for Multiplication and Division of Fractions6.9 Metric System6.14 Circle Graphs7.5 EKS – Determine unknown side lengths or angle(2016)7.6b Find missing side lengths and angle measuresusing quadrilateral properties23 blocks* Anything in italics and/or larger text is new *

Accelerated Math 6/7 Scope & SequenceQuarter 1: 24 blocksBlocksAll year22blocks2blocksUnitUnit 1‐ClassroomRoutinesUnit 2 – RationalNumbersStandardContent StrandTopicProcess Goals: Classroom Routines NUMBER TALKS, Properties, Rational Numbers, IntegerOperations, & Proportional Reasoning6.5/7.1dNumber & NumberPerfect Squares and square roots of positive numbersSense6.5/7.1aNumber & NumberPositive & negative exponents and powers of tenSense7.1bNumber & NumberScientific notation with negative and positive exponentsSense7.1eNumber & NumberSenseAbsolute value of rational numbers6.1Number & NumberSenseRatio representations6.6/6.7Computation &Estimation6.2 a‐c/6.4Number & NumberSenseFDP and their representations7.1c/6.2dNumber & NumberSenseComparing and ordering rational numbers6.3/7.3aComputation &EstimationModeling operations with integers7.3bComputation &EstimationOperations with integers. Use models to justify solutions tointeger problems6.19/ 7.16a‐ePatterns, Functions, &AlgebraAssessment, Review, and InterventionLCPS Math Accelerated 6/7 Curriculum Guide 2017-2018Add, subtract, multiply, and divide fractions and decimals inmulti‐step practical problemsProperties of real numbers

Quarter 2: 21 blocksBlocksAll year10blocks9blocks2blocksUnitUnit 1‐ClassroomRoutinesUnit 3 ‐ NumberRelationshipsUnit 4 – Equations &InequalitiesStandardContent StrandTopicNUMBER TALKS, Properties, Rational Numbers, Integer Operations, & Proportional Reasoning6.8Number & NumberSenseOrder of operations7.13aPatterns, Functions,& AlgebraVerbal and algebraic expressions andequations7.13bPatterns, Functions,& AlgebraEvaluate algebraic expressions6.17/7.2Number & NumberSenseArithmetic and geometric sequences6.11Patterns, Functions,& AlgebraCoordinate Plane7.12Patterns, Functions,& AlgebraUse multiple representations of relations andfunctions6.18/7.14aPatterns, Functions,& AlgebraSolve one‐ and two‐step linear equations inone variable.7.14bPatterns, Functions,& AlgebraSolve practical problems7.15aPatterns, Functions,& AlgebraSolve one‐step inequalities in one variablePatterns, Functions,& AlgebraGraph one‐ step inequalities on the numberline6.20/7.15bAssessment, Review, and InterventionLCPS Math Accelerated 6/7 Curriculum Guide 2017-2018

Quarter 3: 21 blocksBlocksAll year12blocksUnitUnit 1‐ClassroomRoutinesUnit 5 – ProportionalReasoningStandard7.4Computation &Estimation6.6/6.7Computation &Estimation6.12/7.6Geometry andMeasurement7.12Patterns, Functions,& AlgebraGeometry andMeasurementGeometry andMeasurementGeometry &MeasurementGeometry andMeasurement6.107.8Unit 6 – Measurement& Geometry6.10d/7.56.8/7.13b/7.14a1blocksTopicNUMBER TALKS, Properties, Rational Numbers, Integer Operations, & Proportional Reasoning6.13/7.78blocksContent StrandAssessment, Review, and InterventionLCPS Math Accelerated 6/7 Curriculum Guide 2017-2018Number Sense andMeasurementSolve practical problems usingproportional reasoning including scaledrawingsAdd, subtract, multiply, and dividefractions and decimals in multi‐steppractical problemsDetermine similar figures (quadrilateralsand triangles) and write proportions toexpress the relationships between thefiguresREVIEW & APPLY: FunctionsCompare and contrast quadrilateralsCircles / Area and Perimeter ofRectangular PrismsTransformations on the coordinate planeSolve practical problems involving surfacearea and volume and describe the effectsof changing one measured attribute of arectangular prism to its volume andsurface areaREVIEW & APPLY: Order of Ops/Evaluating Exp/V & SA ‐ missing attribute

Quarter 4: 23 blocksBlocksAll year6blocks17blocksUnitUnit 1‐ClassroomRoutinesUnit 7 – Probability &StatisticsStandardContent StrandTopicNUMBER TALKS, Properties, Rational Numbers, Integer Operations, & Proportional Reasoning6.16/7.9Probability andStatisticsInvestigate and describe the difference betweenexperimental and theoretical probability7.10Probability andStatisticsDetermine the probability of compound events usingthe Fundamental Counting Principle. Use the FCP todetermine the total number of possible outcomes.6.15Probability andStatisticsMeasures of Central Tendency6.14/7.11Probability andStatisticsGraphs and ComparisonsAssessment, Review, and InterventionSOL TestPost SOL Topics6.4 Representations for Multiplication andDivision of Fractions6.9 Metric System6.14 Circle Graphs7.5 EKS – Determine unknown sidelengths or angle (2016)7.6b Find missing side lengths andangle measures usingquadrilateral propertiesLCPS Math Accelerated 6/7 Curriculum Guide 2017-2018

2017 - 2018 School Calendar Starts Ends First Quarter August 24 November 3 Second Quarter November 8 January 26 Third Quarter January 30 April 6 Fourth Quarter April 10 June 13 . LCPS Math Accelerated 6/7 Curriculum Guide 2017-2018 * Anything in italics and/or larger text is new * Math Accelerated 6/7 Nine Weeks Overview Addendum .