6th Grade Math And Honors Math Pacing Guide

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 ConnectED GalileoVersa-TilesManipulativesWorksheetsGames ConnectED .B.3Fluently add, subtract, multiply, anddivide multi-digit decimals using thestandard algorithm for each operation.Bloom: ApplicationHess: DOK Level 2EQ: What are wholenumbers/decimalplace values? How can wholenumbers/decimalsbe written,compared, andordered? How are sums anddifferencesinvolving decimalsestimated andfound?6.NS.B.4Find the greatest common factor oftwo whole numbers less than or equalto 100 and the least common multipleof two whole numbers less than orequal to 12. Use the distributiveproperty to express a sum of twowhole numbers with no commonGanado USD-PACING GUIDE (Math/6 Grade)Bloom: ApplicationHess: DOK Level 2EQ: How can numbersbe broken apartinto factors?I will be able to: add multi-digit decimals subtract multi-digit decimals multiply multi-digitdecimals divide multi-digit decimals use standard algorithm ACTIVITIES: Adding, Subtracting,Multiplying, and DividingDecimals foldable I will be able to: find the GCF of 2 wholenumbers 100 find the LCM of 2 wholenumbers 12 use the distributive propertyto express the sum of 2whole numbers oundingcompatiblenumbers terminatingdecimals repeatingdecimals non-terminatingdecimal factormultipledivisibleprime numbercompositenumber primefactorizationPage 10

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018factor.For example, express 36 8 as4(9 2). How can fractionsbe represented andsimplified? What are standardprocedures forestimating andfinding sums anddifferences offractions andmixed numbers? ACTIVITIES: Factor “Trees” for thehallway Foldable comparing GCFand LCM factor tree greatest commonfactor (GCF) common multiple least commonmultiple (LCM) Q1 - Week 8Reteach and Re-assess Q1 - Week 9Reteach and Re-assess Q1 - Week 10Reteach and Re-assess Ganado USD-PACING GUIDE (Math/6 Grade)Page 11

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018QUARTER TWO Q2 ConnectED Galileo Versa-Tiles Manipulatives Worksheets Games6.NS.C.5Understand that positive and negativenumbers are used together to describequantities having opposite directionsor values (e.g., temperatureabove/below zero, elevationabove/below sea level, credits/debits,positive/negative electric charge); usepositive and negative numbers torepresent quantities in real-worldcontexts, explaining the meaning of 0in each situation.Bloom: Application &ComprehensionHess: DOK Level 2EQ: How are integersrelated to wholenumbers? I will be able to: understand that /- numbersare used to describequantities having oppositedirections or values use /- numbers to representquantities in real-worldcontext explain the meaning of 0 ineach situation opposites integer(s) absolute value ACTIVITIES Use number lines bothhorizontally and vertically Include positive andnegative numbers Foldable – showing differentpositive/negative examples ConnectED6.NS.C.6 GalileoGanado USD-PACING GUIDE (Math/6 Grade)Bloom: Application &ComprehensionI will be able to: opposites integer(s)Page 12

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 Versa-TilesManipulativesWorksheetsGamesUnderstand a rational number as apoint on the number line.Extend number line diagramsand coordinate axes familiarfrom previous grades torepresent points on the line andin the plane with negativenumber coordinates.Hess: DOK Level 2EQ: How are integersrelated to wholenumbers? understand a rationalnumber as a point on thenumber line extend number linediagrams and coordinateaxes familiar from previousgrades ACTIVITIES ConnectED GalileoVersa-TilesManipulativesWorksheetsGames ConnectED Galileo Versa-Tiles Manipulatives6.NS.C.6a. Recognize opposite signs ofnumbers as indicating locationson opposite sides of 0 on thenumber line; recognize that theopposite of the opposite of anumber is the number itself, e.g.,–(–3) 3, and that 0 is its ownopposite.Bloom: Comprehension6.NS.C.6b. Understand signs of numbers inordered pairs as indicatinglocations in quadrants of theBloom: ComprehensionGanado USD-PACING GUIDE (Math/6 Grade)Hess: DOK Level 2EQ: How are integersrelated to wholenumbers? Hess: DOK Level 2 absolute value rationalnumber(s) coordinate plane axes x-axis y-axis quadrant(s) ordered pair(s) origin I will be able to: recognize opposite signs ofnumbers indicating locationson opposite sides of 0 recognize that the oppositeof the opposite of a numberis the number itself opposites integer(s) absolute value I will be able to: understand signs of numbersin ordered pairs as indicating coordinate planex-axisy-axisquadrant(s)Page 13

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 Worksheets Games ConnectED GalileoVersa-TilesManipulativesWorksheetsGames ConnectED Galileo Versa-Tilescoordinate plane; recognize thatwhen two ordered pairs differonly by signs, the locations ofthe points are related byreflections across one or bothaxes.EQ: How are integersrelated to wholenumbers? 6.NS.C.6c. Find and position integers andother rational numbers on ahorizontal or vertical numberline diagram; find and positionpairs of integers and otherrational numbers on a coordinateplane.Bloom: Application6.NS.C.7Understand ordering and absolutevalue of rational numbers.Bloom: ComprehensionGanado USD-PACING GUIDE (Math/6 Grade)Hess: DOK Level 1EQ: How are integersrelated to wholenumbers? Hess: DOK Level 2locations in quadrants of thecoordinate plane recognize that when twoordered pairs differ only besigns, the locations of thepoints are related byreflections across one orboth axes ordered pairs origin I will be able to: find integers on a horizontalor vertical number line position integers on ahorizontal or verticalnumber line find pairs of integers andother rational numbers on acoordinate plane position pairs of integers andother rational numbers on acoordinate plane I will be able to: understand ordering ofrational numbers opposites integer(s) absolute value oppositesinteger(s)absolute valuerationalnumber(s)coordinate planex-axisy-axisquadrant(s)ordered pair(s)originPage 14

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 Manipulatives Worksheets Games ConnectED GalileoVersa-TilesManipulativesWorksheetsGames ConnectED .C.7a. Interpret statements of inequalityas statements about the relativeposition of two numbers on anumber line diagram.For example, interpret –3 –7as a statement that –3 is locatedto the right of –7 on a numberline oriented from left to right.6.NS.C.7b. Write, interpret, and explainstatements of order for rationalnumbers in real-world contexts.For example, write –3 C –7 C to express the fact that –3 Cis warmer than –7 C.Ganado USD-PACING GUIDE (Math/6 Grade)EQ: How are integersrelated to wholenumbers? Bloom: ApplicationHess: DOK Level 2EQ: How are integersrelated to wholenumbers? Bloom: ApplicationHess: DOK Level 2EQ: How are integersrelated to wholenumbers? understand absolute value ofrational numbers rationalnumber(s) I will be able to: interpret statements ofinequality as statementsabout the relative position oftwo numbers on a numberline rationalnumber(s) inequality I will be able to: write statements of order forrational numbers in realworld context interpret statements of orderfor rational numbers in realworld context explain statements of orderfor rational numbers in realworld context rationalnumber(s) Page 15

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 ConnectED GalileoVersa-TilesManipulativesWorksheetsGames ConnectED GalileoVersa-TilesManipulativesWorksheetsGames ConnectED Galileo Versa-Tiles Manipulatives6.NS.C.7c. Understand the absolute value ofa rational number as its distancefrom 0 on the number line;interpret absolute value asmagnitude for a positive ornegative quantity in a real-worldsituation.For example, for an accountbalance of –30 dollars, write –30 30 to describe the size ofthe debt in dollars.Bloom: Comprehension& Application6.NS.C.7d. Distinguish comparisons ofabsolute value from statementsabout order.For example, recognize that anaccount balance less than –30dollars represents a debt greaterthan 30 dollars.Bloom: Application &ComprehensionHess: DOK Level 2EQ: How are integersrelated to wholenumbers? Hess: DOK 2EQ: How are integersrelated to wholenumbers? Bloom: Application6.NS.C.8Solve real-world and mathematicalproblems by graphing points in allHess: DOK Level 2four quadrants of the coordinate plane.Ganado USD-PACING GUIDE (Math/6 Grade)I will be able to: understand the absolutevalue of a rational numberas its distance from 0 on anumber line interpret absolute value asmagnitude for a /- quantityin a real-world situation I will be able to: distinguish comparisons ofabsolute value fromstatements about order absolute value I will be able to: solve real-world problems bygraphing points in all fouroppositesinteger(s)absolute valuerationalnumber(s) coordinate planex-axisy-axisquadrant(s)Page 16

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 Worksheets Games Include use of coordinates andabsolute value to find distancesbetween points with the same firstcoordinate or the same secondcoordinateEQ: How are integersrelated to wholenumbers? quadrants of the coordinateplane solve mathematical problemsby graphing points in all fourquadrants of the coordinateplane include use of coordinates tofind distances between pointswith the same first coordinateor the same second coordinate include use of absolute value tofind distances between pointswith the same first coordinateor the same second coordinate ordered pairs origin ConnectED Galileo Versa-Tiles Manipulatives Worksheets Games 6.NS.C.9:Convert between expressions forpositive rational numbers, includingfractions, decimals, and percents. ConnectED Galileo Versa-Tiles7NS.A.1Apply and extend previousunderstanding of addition andBloom: ApplicationHess: DOK Level 2EQ: Ganado USD-PACING GUIDE (Math/6 Grade)Bloom:Hess: DOK LevelI will be able to: convert between expressionsfor rational numbersincluding fractions,decimals, and percents While reviewing decimals andfractions, throw in percents!I will be able to: apply and extend previousunderstanding of addition fraction decimal percent rationalnumber(s)Page 17

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 Manipulatives Worksheets Games subtraction to add and subtractrational numbers; represent additionand subtraction on a horizontal orvertical number line diagram. ConnectED Galileo Versa-Tiles Manipulatives Worksheets Games Bloom:7NS.A.1aDescribe situations in which oppositeHess: DOK Levelquantities combine to make 0. Forexample, a hydrogen atom has 0charge because its two constituents are EQ: oppositely charged. ConnectED Galileo Versa-Tiles Manipulatives Worksheets Games 7NS.A.1bUnderstand p q as the numberlocated a distance q from p, in thepositive or negative directiondepending on whether q is positive ornegative. Show that a number and itsopposite have a sum of 0 (are additiveinverses). Interpret sums of rationalnumbers by describing real-worldcontexts.Ganado USD-PACING GUIDE (Math/6 Grade)EQ: Bloom:Hess: DOK LevelEQ: and subtraction to add andsubtract rational numbers; represent addition andsubtraction on a horizontalor vertical number linediagram. vertical numberline horizontalnumber line I will be able to: Describe situations in whichopposite quantities combineto make 0. Property ofOpposites I will be able to: understand p q as thenumber located a distance q from p, in the positive ornegative direction dependingon whether q is positive ornegative. show that a number and itsopposite have a sum of 0(are additive inverses). combine Page 18

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 interpret sums of rationalnumbers by describing realworld contexts. ConnectED Galileo Versa-Tiles Manipulatives Worksheets Games 7NS.A.1cUnderstand subtraction of rationalnumbers as adding the additiveinverse, p – q p (-q). Show thatthe distance between two rationalnumbers on the number line is theabsolute value of their difference, andapply this principle in real-worldcontexts.Bloom: ConnectED Galileo Versa-Tiles Manipulatives Worksheets Games 7NS.A.1dApply properties of operations asstrategies to add and subtract rationalnumbers.Bloom:Ganado USD-PACING GUIDE (Math/6 Grade)Hess: DOK LevelEQ: Hess: DOK LevelEQ: I will be able to: understand subtraction ofrational numbers as addingthe additive inverse, p – q p (-q). show that the distancebetween two rationalnumbers on the number lineis the absolute value of theirdifference. apply this principle in realworld contexts. additive inverse absolute value I will be able to: apply properties ofoperations as strategies toadd and subtract rationalnumbers. AssociativeProperty CommutativeProperty Additive Identity Property ofOppositesPage 19

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 ConnectED Galileo Versa-Tiles Manipulatives Worksheets Games 7NS.A.2Apply and extend previousunderstandings of multiplication anddivision and of fractions to multiplyand divide rational numbers.Bloom: ConnectED Galileo Versa-Tiles Manipulatives Worksheets Games 7NS.A.2aUnderstand that multiplication isextended from fractions to rationalnumbers by requiring that operationscontinue to satisfy the properties ofoperations, particularly thedistributive property, leading toproducts such as (-1)(-1) 1 and therules for multiplying signed numbers.Interpret products of rational numbersby describing real-world contexts.Bloom: ConnectED Galileo Versa-Tiles7NS.A.2bUnderstand that integers can bedivided, provided that the divisor isBloom:Ganado USD-PACING GUIDE (Math/6 Grade)Hess: DOK LevelEQ: Hess: DOK LevelEQ: Hess: DOK LevelI will be able to: apply and extend previousunderstandings ofmultiplication and divisionand of fractions to multiplyand divide rational numbers. rationalnumber(s) I will be able to: understand thatmultiplication is extendedfrom fractions to rationalnumbers by requiring thatoperations continue tosatisfy the properties ofoperations, particularly thedistributive property,leading to products such as(-1)(-1) 1 and the rules formultiplying signed numbers. interpret products of rationalnumbers by describing realworld contexts. DistributiveProperty MultiplicativeIdentity I will be able to: understand that integers canbe divided, provided that the rationalnumber(s)Page 20

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 Manipulatives Worksheets Games not zero, and every quotient ofintegers (with non-zero divisor) is aEQ:rational number. If p and q are integers, then –(p/q) (-p)/q p/(-q).Interpret quotients of rational numbersby describing real-world contexts. ConnectED Galileo Versa-Tiles Manipulatives Worksheets Games 7NS.A.2cApply properties of operations asstrategies to multiply and dividerational numbers. ConnectED Galileo Versa-Tiles Manipulatives7NS.A.2dConvert a rational number to adecimal using long division; knowthat the decimal form of a rationalBloom:Hess: DOK LevelEQ: Ganado USD-PACING GUIDE (Math/6 Grade)Bloom:Hess: DOK Leveldivisor is not zero, and everyquotient of integers (withnon-zero divisor) is arational number. If p and qare integers, then –(p/q) (p)/q p/(-q). interpret quotients ofrational numbers bydescribing real-worldcontexts. undefinedquotient I will be able to: apply properties ofoperations as strategies tomultiply rational numbers. apply properties ofoperations as strategies todivide rational numbers. AssociativeProperty CommutativeProperty Additive Identity properties ofoperations rationalnumber(s) I will be able to: convert a rational number toa decimal using longdivision; terminatingdecimal repeating decimal Page 21

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 Worksheets Games number terminates in 0s or eventuallyrepeats.EQ: ConnectED Galileo Versa-Tiles Manipulatives Worksheets Games 7NS.A.3Solve real-world and mathematicalproblems involving the fouroperations with rational numbers.Bloom: ConnectED6.EE.A.1Write and evaluate numericalexpressions involving whole-numberexponents. : DOK LevelEQ: Ganado USD-PACING GUIDE (Math/6 Grade)Bloom: Application &EvaluationHess: DOK Level 2 & 3EQ: What are wholenumbers placevalues? How can wholenumbers bewritten, compared,and ordered? know that the decimal formof a rational numberterminates in 0s oreventually repeats. I will be able to: solve real-world andmathematical problemsinvolving the fouroperations with rationalnumbers. rationalnumber(s) complex fraction I will be able to: read and write numbers totrillions in standard,expanded, and word formand give the values ofspecific digits write numerical expressionsinvolving whole-numberexponents evaluate numericalexpressions involvingwhole-number exponents standard formexpanded formword formtrillionperiodbaseexponentpowerexponential formsquaredcubedrootPage 22

Ganado Unified School District6th Grade Math and 6th Grade Honors MathPACING Guide SY 2017-2018 ACTIVITIES: ConnectED Galileo Versa-Tiles Manipulativesbookmarks Worksheets Games ConnectED Galileo Versa-Tiles Manipulativesbookmarks Worksheets Games 6.EE.A.2Write, read, and evalu

6th Grade Math and 6th Grade Honors Math PACING Guide SY 2017-2018 Ganado USD-PACING GUIDE (Math/6 Grade) Page 1 . Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. . tables of equivalent ratios, tape