Math department



First Nine WeeksSequenceStandard DescriptionResourcesAssessmentWeek 1 (Q1)8/11 - 8/19Pre-Test/ReviewCompute fluently with multi-digit numbers and find common factors and multiples.MAFS.6.NS.2.4 Calculator: NoFind the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor.(unpacked)CMP3:PT: ?Inv. 2 and 3 (NS.2.4)PT: Inv. 4 (Distributive Property)CPALMS Lessons: ???????NS 2.4 - Can You Find the Relationship?MATH ITEM SPECIFICATIONSMFAS:NS.2.4 Greatest Common FactorsLeast Common MultiplesUsing the Distributive PropertyWeek 2 (Q1)8/22 - 8/26Compute fluently with multi-digit numbers and find common factors and multiples.MAFS.6.NS.2.2 ?Calculator: NoFluently divide multi-digit numbers using the standard algorithm. (unpacked)MAFS.6.NS.2.3 Calculator: NoFluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.(unpacked)CMP3:DO: ?Inv. 3 (NS.2.3)CPALMS Lesson:NS 2.2 - Dividing Decimals InvestigationSNS.2.3 - The Mystery of DecimalsMFAS:NS.2.2Long Division - 1Long Division - 2Long Division - 3NS.2.3Adding Multi Digit DecimalsSubtracting Multi Digit DecimalsWeek 3 (Q1)8/29-9/2Compute fluently with multi-digit numbers and find common factors and multiples.MAFS.6.NS.2.3 Calculator: NoFluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.(unpacked)Understand ratio concepts and use ratio reasoning to solve problems.MAFS.6.RP.1.1 Calculator: NoUnderstand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. (unpacked)Use ratio and rate reasoning to solve real-world and mathematical problems.MAFS.6.RP.1.3a Calculator: NoMake tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios.(unpacked)CMP3:DO: ?Inv. 3 (NS.2.3 Mult/Div)CBP: Inv.1 (RP.1.1)VAP: Inv. 1 (RP.1.3)CBP: Inv. 2 (RP.1.3)CPALMS Lessons: ??NS.2.3 - Snack TimeRP.1.1 - Comparing Rectangles??RP 1.3a - My Favorite RecipeMFAS:NS.2.3Multiplying Multi Digit DecimalsDividing Multi Digit DecimalsRP.1.1Comparing RectanglesComparing TimeInterpreting RatiosWriting RatiosRP.1.3aFinding the WholeHomework TimeMaking CoffeeWeek 4 (Q1)9/5 - 9/9Understand the concept of a unit rate a/b associated with a ratio a:b with b 0, and use rate language in the context of a ratio relationship.MAFS.6.RP.1.2 Calculator: NoUnderstand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship. (unpacked)Use ratio and rate reasoning to solve real-world and mathematical problems.MAFS.6.RP.1.3b Calculator: NoSolve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? (unpacked)Monday 9/5 Labor Day NO SCHOOLCMP3:CBP: Inv. 2 (RP.1.2, and RP.1.3)VAP: Inv. 1 (RP.1.3)VAP: Inv. 1 (RP.1.3a, b)CPALMS Lessons: ??RP 1.2 - Catapult a RateRP 1.3b - My Favorite RecipeMFAS:RP.1.2Book RatesExplaining RatesIdentifying Unit RatesWriting Unit RatesRP.1.3bParty Punch - Compare RatiosWeek5 (Q1)9/12 - 9/16Use ratio and rate reasoning to solve real-world and mathematical problems.MAFS.6.RP.1.3b Calculator: NoSolve unit rate problems including those involving unit pricing and constant speed. For example, if it took 7 hours to mow 4 lawns, then at that rate, how many lawns could be mowed in 35 hours? At what rate were lawns being mowed? (unpacked)MAFS.6.RP.1.3c Calculator: NoFind a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.(unpacked)CMP3:CBP: Inv. 2 (RP.1.3)VAP: Inv. 1 (RP.1.3a, b)CPALMS Lessons: ??RP 1.3b - My Favorite RecipeMFAS:RP.1.3bParty Punch - Compare RatiosRP.1.3cSara’s HikeWeek 6 (Q1)9/19-9/23Use ratio and rate reasoning to solve real-world and mathematical problems.MAFS.6.RP.1.3c Calculator: NoFind a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent.(unpacked)CMP3:CBP: Inv. 2 (RP.1.3)VAP: Inv. 1 (RP.1.3a, b)DO: Inv. 4 (RP.1.3c)CPALMS Lessons: RP 1.3 - Recognizing Proportional Relationships to Develop Sense of ScaleRP 1.3c - Maximizing Profit: Selling SoupMFAS:RP.1.3Bargain BreakfastComparing RatesWeek 7 (Q1)9/26-9/30Use ratio and rate reasoning to solve real-world and mathematical problems.MAFS.6.RP.1.3d Calculator: NoUse ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities.(unpacked)Apply and extend previouls understandings of multiplication and division to divide fractions by fractions.MAFS.6.NS.1.1 Calculator: NoInterpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.(unpacked)CMP3:LBR: Inv. 3 (NS.1.1)CPALMS Lessons: ?????RP.1.3d - Money: How to Know Where it is all GoingNS 1.1 - Dividing FractionsMFAS:RP.1.3cSara’s HikeNS.1.1Contextualizing Fraction DivisionFraction DivisionJuicing FractionsModels of Fraction DivisionRP.1.3dMeasurement ConversionWeek 8 (Q1)10/3 - 10/7Apply and extend previouls understandings of multiplication and division to divide fractions by fractions.MAFS.6.NS.1.1 Calculator: NoInterpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem.(unpacked)Apply and extend previous understandings of numbers to the system of rational numbers.MAFS.6.NS.3.5 Calculator: ?NoUnderstand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g. temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation. (unpacked)CMP3:CBP: Inv 3 (NS.3.5)CPALMS Lessons: NS 1.1 - Dividing Fractions(Tackling Word Problems)NS 1.1 - Dividing FractionsNS 3.5 - Positive or Negative, It's All About Shopping!MFAS:NS.3.5Rainfall ChangeRelative DecimalsRelative FractionsRelative IntegersWeek 9 (Q1)10/10-10/14EXAMSFriday 10/14 PROFESSIONAL DAYEnd of First Nine Weeks ExamProfessional DayAdditional Standards for 6th Grade ADVANCED: ?The following standards should also be taught during the FIRST NINE WEEKS.7.RP.1.1MAFS.7.RP.1.1 Calculator: YesCompute unit rates associated with ratios of fractions, including ratios of lengths, areas and other quantities measured in like or different units.(unpacked)RESOURCES:CMP3:Comparing and ScalingInv 1 (Problems 34)Inv 2 (Problem 3)Inv 3 (Problem 1, 3)CPALMS:Bean Counting and RatiosASSESSMENTS:Unit Rate AreaUnit Rate LengthComputing Unit RatesComputing Unit Rates 27.RP.1.2MAFS.7.RP.1.2 Calculator: YesRecognize and represent proportional relationships between quantities.a. Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratiosin a table or graphing on a coordinate plane and observing whether the graph is a straight linethrough the origin.b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbaldescriptions of proportional relationships.c. Represent proportional relationships by equations. Explain what a point (x, y) on the graph of aproportional relationship means in terms of the situation, with special attention to the points (0, 0) and(1, r) where r is the unit rate.(unpacked)RESOURCES:Moving Straight AheadInv 1 (Problem 12)Inv 2 (Problem 23)Inv 4 (Problem 2,4)CPALMSFeeding FrenzyASSESSMENTS:Finding Constant of ProportionalityBabysitting GraphDeciding if ProportionalServing SizeWriting an EquationTeacher to Student RatiosIdentify the Constant of Proportionalities in EquationsGraphs of Proportional Relationships7.RP.1.3MAFS.7.RP.1.3Use proportional relationships to solve multistep ratio and percent problems. Examples: simple interest, tax, markups and markdowns, gratuities and commissions, fees, percent increase and decrease, percent error.(unpacked)RESOURCES:Stretching and ShrinkingInv 1 (Problem 2)Inv 3 (Problem 13)Inv 4 (Problem 13)CPALMSIncreasing and Decreasing Quantities by PercentASSESSMENTS:Finding FeesTiffany’s TaxGasoline PricesMaking CookiesSecond Nine WeeksSequenceStandard DescriptionResourcesAssessmentWeek 1 (Q2)10/17 - 10/21Apply and extend previous understandings of numbers to the system of rational numbers.MAFS.6.NS.3.6a Calculator: NoRecognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite. (MAFS.6.NS.3.6)(unpacked)MAFS.6.NS.3.6b Calculator: NoUnderstand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. (MAFS.6.NS.3.6)(unpacked)Friday 10/21 DISTRICT IN-SERVICE DAYCMP3:CBP: Inv. 3 (NS.3.6a, c,NS.3.7)VAP: Inv. 2 (NS.3.6b)CAS: Inv. 3 (NS.3.8)CPALMS Lessons: NS 3.6a,b,c Mapping the SchoolNS ?3.6b - Bomb the Boat - Sink the Teacher's Fleet!MATH ITEM SPECIFICATIONSMFAS:NS.3.6aExplaining OppositesNS.3.6bGraphing on Cartesian PlanesGraphing Points in the PlaneGraphing Points on the Number LineLocating QuadrantsWeek 2 (Q2)10/24 - 10/28Apply and extend previous understandings of numbers to the system of rational numbers.MAFS.6.NS.3.6c Calculator: NoFind and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. (unpacked)MAFS.6.NS.3.8 Calculator: NoSolve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate.(unpacked)MAFS.6.NS.3.7a Calculator: NoInterpret statements of inequality as statements about the relative position of two numbers on a number line diagram. (unpacked)CMP3:CPALMS Lessons:NS 3.8 - Coordinate Grids: The Key to the CityMFAS:NS.3.6cPoint LocationsWhat Is the Opposite?NS.3.7aAbsolute AltitudesNS.3.8Bike Lot CoordinatesGarden AreaGarden CoordinatesWeek 3 (Q2)10/31 - 11/4Apply and extend previous understandings of numbers to the system of rational numbers.MAFS.6.NS.3.7b Calculator: NoWrite, interpret, and explain statements of order for rational numbers in real-world contexts. (unpacked)MAFS.6.NS.3.7c Calculator: NoUnderstand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. (unpacked)MAFS.6.NS.3.7d Calculator: NoDistinguish comparisons of absolute value from statements about order. (unpacked)CMP3:CPALMS Lessons:NS 3.7b,c - Absolutely Integers ?MFAS:NS.3.7bPositions of NumbersNS.3.7cSouth PoleSubmarinesNS.3.7dVisualizing Absolute ValueWeek 4 (Q2)11/7 - 11/11Apply and extend previous understandings of numbers to the system of rational numbers.MAFS.6.NS.3.7d Calculator: NoDistinguish comparisons of absolute value from statements about order. (unpacked)FRIDAY 11/11 VETERAN’S DAY (NO SCHOOL)CMP3:CPALMS Lessons: MFAS:Week 5 (Q2)11/14 - 11/25Apply and extend previous understandings of arithmetic to algebraic expressions.MAFS.6.EE.1.1 Calculator: NoWrite and evaluate numerical expressions involving whole-number exponents.(unpacked)Write, read, and evaluate expressions in which letters stand for numbers. MAFS.6.EE.1.2a Calculator: NoWrite expressions that record operations with numbers and with letters standing for numbers. (unpacked)SCHOOL - 11/21 - 11/22 (2 Days)THANKSGIVING BREAK - 11/23 thru 11/25CMP3:PT: Inv. 3 (EE.1.1)VAP: Inv. 3 (EE.1.2a)CPALMS Lessons:EE.1.1 - It's Hip 2b^2 eXponent^s MFAS:EE.1.1Cube HouseEvaluating ExponentsExponent PrioritiesPaul’s PenniesEE.1.2aParts of ExpressionsWeek 6 (Q2)11/28 - 12/2Write, read, and evaluate expressions in which letters stand for numbers. MAFS.6.EE.1.2a Calculator: NoWrite expressions that record operations with numbers and with letters standing for numbers(unpacked)MAFS.6.EE.1.2b Calculator: NoIdentify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.(unpacked)CMP3:VAP: Inv. 3/4(EE.1.2b)CPALMS Lessons: EE.1.2 - Expressions, Phrases and Word Problems, Oh My!Going The DistanceMFAS:EE.1.2aParts of ExpressionsEE.1.2bSubstitution ResolutionWeek 7 (Q2)12/5 - 12/9Write, read, and evaluate expressions in which letters stand for numbers. MAFS.6.EE.1.2b Calculator: NoIdentify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity.(unpacked)CMP3:VAP: Inv. 3/4(EE.1.2b,c)CPALMS Lessons: MFAS:EE.1.2bSubstitution ResolutionWeek 8 (Q2)12/12 - 12/16End of QtrEXAM WEEK****Christmas Break*** - ?12/19/15 thru 12/30/16End of Second Nine Week ExamWinter Break: December 19 - January 3Professional DayAdditional Standards for 6th Grade ADVANCED: ?The following standards should also be taught during the SECOND NINE WEEKS.7.NS.1.1MAFS.7.NS.1.1 Calculator: NeutralApply and extend previous understandings of addition and subtraction to add and subtract rationalnumbers? represent addition and subtraction on a horizontal or vertical number line diagram.a. Describe situations in which opposite quantities combine to make 0. Understand p + q as thenumber located a distance |q| from p, in the positive or negative direction depending on whetherq is positive or negative. Show that a number and its opposite have a sum of 0 (are additiveinverses). Interpret sums of rational numbers by describing real worldcontexts.b. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q).Show that the distance between two rational numbers on the number line is the absolute valueof their difference, and apply this principle in real worldcontexts.c. Apply properties of operations as strategies to add and subtract rational numbers.(unpacked)RESOURCES:CMP3:Accentuate The NegativeInv 1 (Problems 24)Inv 2 (Problems 23)Inv 3 (Problems 24)Inv 4 (Problems 12)CPALMS:7.NS.1.1 Add It Up with TChartsASSESSMENT:MFAS:7.NS.1.1Finding the DifferenceExploring Additive InverseAdding IntegersRational Addition and Subtraction7.NS.1.2MAFS.7.NS.1.2 Calculator: NoApply and extend previous understandings of multiplication and division and of fractions to multiply anddivide rational numbers.a. Understand that multiplication is extended from fractions to rational numbers by requiring thatoperations continue to satisfy the properties of operations, particularly the distributive property,leading to products such as (–1)(–1) = 1 and the rules for multiplying signed numbers. Interpretproducts of rational numbers by describing real worldcontexts.b. Understand that integers can be divided, provided that the divisor is not zero, and every quotientof integers (with nonzerodivisor) is a rational number. If p and q are integers, then –(p/q) =(–p)/q = p/(–q). Interpret quotients of rational numbers by describing real worldcontexts.c. Apply properties of operations as strategies to multiply and divide rational numbers.d. Convert a rational number to a decimal using long division? know that the decimal form of arational number terminates in 0s or eventually repeats.(unpacked)RESOURCES:CPALMS7.NS.1.2 Equivalent ExpressionsJeopardy Game (7.NS.1.1/1.2)ASSESSMENTS:MFAS:7.NS.1.2Applying Rational Number PropertiesNegative TimesFinding Decimals Using Long DivisionQuotients of IntegersUnderstanding Products7.NS.1.3MAFS.7.NS.1.3 Calculator: NoSolve reaL world and mathematical problems involving the four operations with rational numbers.(unpacked)RESOURCES:CPALMSAll Around FencesASSESSMENTS:MFAS.7.NS.1.3Trail Mix MunchiesA Rational Number ExpressionMonitoring Water TemperaturesThird Nine WeeksSequenceStandard DescriptionResourcesAssessmentWeek 1 (Q3)1/2 - 1/6MONDAY 1/2- Professional DayWrite, read, and evaluate expressions in which letters stand for numbers. MAFS.6.EE.1.2c Calculator: NoEvaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). (unpacked)CMP3:VAP: Inv. 3/4(EE.1.2c)CPALMS Lessons: MATH ITEM SPECIFICATIONSMFAS:EE.1.2cWriting ExpressionsWeek 2 (Q3)1/9 - 1/13Write, read, and evaluate expressions in which letters stand for numbers. MAFS.6.EE.1.2c Calculator: NoEvaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). (unpacked)Apply and extend previous understandings of arithmetic to algebraic expressions.MAFS.6.EE.1.3 Calculator: NoApply the properties of operations to generate equivalent expressions. (unpacked)CMP3:VAP: Inv. 4 (EE.1.3)PT: Inv. 4 (Distributive Property)CPALMS Lessons: ?EE.1.3 - Collectively CollectingMFAS:EE.1.3Associative and Commutative ExpressionsEqual Sides, Equivalent ExpressionsGenerating Equivalent ExpressionsWeek 3 (Q3)1/16 - 1/20MONDAY 1/16- No School (M.L. King Day)Apply and extend previous understandings of arithmetic to algebraic expressions.MAFS.6.EE.1.4 Calculator: NoIdentify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). (unpacked)Reason about and solve one-variable equations and inequalities.MAFS.6.EE.2.5 Calculator: NoUnderstand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true.(unpacked)CMP3:VAP: Inv. 4 (EE.1.4, EE.2.5)CPALMS Lessons: EE.1.4 - Have You Met Your Match?EE.2.5 - How much was lunch?MFAS:EE.1.4Equivalent ExponentsEquivalent ExpressionsIdentifying Equivalent ExpressionsProperty CombinationsEE.2.5Finding Solutions of EquationsFinding Solutions of InequalitiesSolutions of EquationsSolutions of InequalitiesWeek 4 (Q3)1/23 - 1/27Reason about and solve one-variable equations and inequalities.MAFS.6.EE.2.6 Calculator: NoUse variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.(unpacked)CMP3:VAP: Inv. 2, 3 (EE.2.6)CPALMS Lessons:EE.2.6 - Bake SaleMFAS:EE.2.6Gavin’s PocketWriting Real-World ExpressionsWeek 5 (Q3)1/30 - 2/3Reason about and solve one-variable equations and inequalities.MAFS.6.EE.2.7 Calculator: NoSolve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p, q, and x are all non-negative rational numbers.(unpacked)MAFS.6.EE.2.8 Calculator: NoWrite an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.(unpacked)CMP3:VAP: Inv. 4 (EE.2.7 and 2.8)CPALMS Lessons:EE.2.7 - Equations with a Deck of CardsEE.2.8 - Writing Inequalities to Represent SituationsMFAS:EE.2.7Center SectionEqually DrivenSolar SolutionsUniversity ParkingWeek 6 (Q3)2/6 - 2/10Reason about and solve one-variable equations and inequalities.MAFS.6.EE.2.8 Calculator: NoWrite an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.(unpacked)Represent and analyze quantitative relationships between dependent and independent variables.MAFS.6.EE.3.9 Calculator: NoUse variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. (unpacked)CMP3:VAP: Inv. 1 and 3 (EE.3.9)CPALMS Lessons: EE.3.9 - ?Chairs Around the TableMFAS:EE.2.8Acres and AltitudesRational Number LinesRoadway InequalitiesTransportation Number LinesEE.3.9Analyzing The RelationshipBicycling EquationsGrinding EquationsTable To EquationWeek 7 (Q3)2/13 - 2/17Solve real-world and mathematical problems involving area, surface area, and volume.MAFS.6.G.1.1 Calculator: NoFind the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply(unpacked)CMP3:CAS Inv. 2 and 3 (G.1.1CPALMS Lessons: G.1.1 - Finding Area with Hands-On MeasurementMFAS:G.1.1Lost KeySwimming Pool WalkwayArea of KiteArea of QuadrilateralsArea of TrianglesWeek 8 (Q3)2/20 - 2/24MONDAY - No School (President’s Day)Solve real-world and mathematical problems involving area, surface area, and volume.MAFS.6.G.1.1 Calculator: NoFind the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply(unpacked)MAFS.6.G.1.3 Calculator: NoDraw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems.(unpacked)CMP3:CAS Inv. 2 and 3 (G.1.1)CAS Inv. 3 (G.1.3)CAS Inv. 3 (G.1.3)CPALMS Lessons:G.1.1 - Finding Area with Hands-On MeasurementG.1.3 - Plotting PolygonsMFAS:G.1.3Polygon CoordinatesPolygon GridFence LengthPatio AreaWeek 9 (Q3)2/27 - 3/3Solve real-world and mathematical problems involving area, surface area, and volume.MAFS.6.G.1.4 Calculator: NoRepresent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems.(unpacked)MAFS.6.G.1.2 Calculator: NoFind the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = l w h and V = b h to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.(unpacked)Use ratio and rate reasoning to solve real-world and mathematical problems.MAFS.6.RP.1.3e Calculator: NoUnderstand the concept of Pi as the ratio of the circumference of a circle to its diameter.(unpacked)CMP3CAS Inv. 4 (Problem 1 and 3-G.1.4)CAS Inv. 4 (Problem 2 - G.1.2)CPALMS Lessons: G.1.4 - Formula DetectiveG.1.4 - Box It Up, Wrap It UpG.1.2 - How Many Rubik's Cubes Can You Pack?MFAS:G.1.4Pyramid ProjectRust ProtectionSkateboard RampWindy PyramidG.1.2BricksClay BlocksMoving TruckPrism PackingRP.1.3eThe Meaning of PiWeek 10 (Q3)3/6 - 3/10End of QtrEXAM WEEKFRIDAY 3/10 - Professional DayEnd Third Nine Week ExamProfessional DaySpring Break: March 12 - March 20Additional Standards for 6th Grade ADVANCED: ?The following standards should also be taught during the THIRD NINE WEEKS.7.EE.1.1MAFS.7.EE.1.1 Calculator: YesApply properties of operations as strategies to add, subtract, factor, and expand linear expressions withrational coefficients.(unpacked)RESOURCES:Moving Straight AheadInv 3 (Problem 1,4)CPALMSSteps for Solving EquationsMFAS Tasks::Equivalent Rational ExpressionsEquivalent PerimetersIdentify Equivalent Multistep ExpressionsFactored Forms7.EE.1.2MAFS.7.EE.1.2 Calculator: NoUnderstand that rewriting an expression in different forms in a problem context can shed light on theproblem and how the quantities in it are related.(unpacked)RESOURCES:CPALMSEquivalent ExpressionsMFAS Tasks:Explain Equivalent ExpressionsRectangle Expressions7.EE.2.3MAFS.7.EE.2.3 Calculator: YesSolve multi step real life and mathematical problems posed with positive and negative rational numbers inany form (whole numbers, fractions, and decimals), using tools strategically. Apply properties ofoperations to calculate with numbers in any form? convert between forms as appropriate? and assess thereasonableness of answers using mental computation and estimation strategies.(unpacked)RESOURCES:CPALMS: ?Bargain TownMFAS ?Tasks:Alexa’s AccountGas Station EquationsReeling in ExpressionsDiscount and TaxUsing Estimation7.EE.2.4MAFS.7.EE.2.4 Calculator: YesUse variables to represent quantities in a real world or mathematical problem, and construct simple equations and inequalities to solve problems by reasoning about the quantities.a. Solve word problems leading to equations of the form px + q = r and p(x + q) = r, where p, q,and r are specific rational numbers. Solve equations of these forms fluently. Compare analgebraic solution to an arithmetic solution, identifying the sequence of the operations used ineach approach.b. Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and rare specific rational numbers. Graph the solution set of the inequality and interpret it in thecontext of the problem.(unpacked)RESOURCES:CPALMS:Gummy vs GumMFAS ?Tasks::SquaresSolve EquationsWrite and Solve an EquationAlgebra or ArithmeticRecycled InequalitiesWrite, Solve and Graph an InequalityGift Card InequalityFourth Nine WeeksSequenceStandard DescriptionResourcesAssessmentWeek 1 (Q4)3/20 - 3/24Develop understanding of statistical variability.MAFS.6.SP.1.1 Calculator: NoRecognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. For example, “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students’ ages.(unpacked)MAFS.6.SP.1.2 Calculator: NoUnderstand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.(unpacked)MAFS.6.SP.1.3 Calculator: NoRecognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number.(unpacked)CMP3:DAU: Inv. 1 and 2 (SP.1.2)DAU: Inv. 2 and 3 (SP.1.3)CPALMS Lessons:SP.1.1 - Statistical Question SortSP.1.2 - Comparing and Contrasting Data Sets Using Measures of Center and SpreadSP.1.3 - Backpack WeightMATH ITEM SPECIFICATIONSMFAS:SP.1.1Questions About a ClassTV StatisticsSP.1.2Math Test CenterMath Test ShapeMath Test SpreadPet FrequencySP.1.3Compare Measures of Center and VariabilityExplain Measures of CenterExplain Measures of VariabilityWeek 2 (Q4)3/27 - 3/31Summarize and describe distrubutions.MAFS.6.SP.2.4 Calculator: NoDisplay numerical data in plots on a number line, including dot plots, histograms, and box plots.(unpacked)Summarize numerical data sets in relation to their context, such as by:MAFS.6.SP.2.5a Calculator: NoReporting the number of observations.(unpacked)MAFS.6.SP.2.5b Calculator: NoDescribing the nature of the attribute under investigation, including how it was measured and its units of measurement.(unpacked)CMP3:DAU: Inv. 4 (Box Plots/Histograms) ?SP.2.4 DAU: Inv. 1 (line/dot plots) SP.2.4CPALMS Lessons: SP.2.4 - Box Plots are Easy!!SP.2.4 - Dot Plots and HistogramsSP.2.5 - Decisions, Decisions!SP.2.5 - Basketball All Star TeamMFAS:SP.2.4Basketball HistogramChores DataShark Attack DataSP.2.5aAnalyzing Physical ActivitySP.2.5bFlorida LakesWeek 3 (Q4)4/3 - 4/7Summarize numerical data sets in relation to their context, such as by:MAFS.6.SP.2.5c Calculator: NoGiving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered.(unpacked)MAFS.6.SP.2.5d Calculator: NoRelating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered. (unpacked)SP.2.5cQuiz Mean and DeviationSP.2.5dSelect the Better MeasureWeek 4 (Q4)4/10 - 4/14FSA Exams: ?Paper Based Accommodations; Grades 5 - 8FSA Exams: ?Computer Based; Grades 5 - 8FSA PracticeWeek 5 (Q4)4/17 - 4/21FSA Exams: ?Paper Based Accommodations; Grades 5 - 8 FSA Exams: ?Computer Based; Grades 5 - 8PARCC PracticeWeek 6 (Q4)4/24 - 4/28FSA Exams: ?Computer Based; Grades 5 - 8Week 7 (Q4)5/1 - 5/5FSA Exams: ?Computer Based; Grades 5 - 8Week 8 (Q4)5/8 - 5/12MAFS.7.NS.1.1 Calculator: NeutralApply and extend previous understandings of addition and subtraction to add and subtract rationalnumbers? represent addition and subtraction on a horizontal or vertical number line diagram.a. Describe situations in which opposite quantities combine to make 0. Understand p + q asthe number located a distance |q| from p, in the positive or negative direction depending onwhether q is positive or negative. Show that a number and its opposite have a sum of 0 (areadditive inverses). Interpret sums of rational numbers by describing realworldcontexts.b. Understand subtraction of rational numbers as adding the additive inverse, p – q = p + (–q).Show that the distance between two rational numbers on the number line is the absolutevalue of their difference, and apply this principle in realworldcontexts.c. Apply properties of operations as strategies to add and subtract rational numbers.(unpacked)CMP3:Accentuate TheNegativeInv 1 (Problems 24)Inv 2 (Problems 23)Inv 3 (Problems 24)Inv 4 (Problems 12)CPALMS Lessons:NS.1.1 - Add It Up with TChartsMFAS Tasks:NS.1.1Finding the DifferenceExploring Additive InverseAdding IntegersRational Addition andSubtractionWeek 9 (Q4)5/15 - 5/19MAFS.7.NS.1.2 Calculator: NoApply and extend previous understandings of multiplication and division and of fractions to multiplyand divide rational numbers.a. Understand that multiplication is extended from fractions to rational numbers by requiringthat operations continue to satisfy the properties of operations, particularly the distributiveproperty, leading to products such as (–1)(–1) = 1 and the rules for multiplying signednumbers. Interpret products of rational numbers by describing realworldcontexts.b. Understand that integers can be divided, provided that the divisor is not zero, and everyquotient of integers (with nonzerodivisor) is a rational number. If p and q are integers, then–(p/q) = (–p)/q = p/(–q). Interpret quotients of rational numbers by describing realworldcontexts.c. Apply properties of operations as strategies to multiply and divide rational numbers.d. Convert a rational number to a decimal using long division? know that the decimal form of arational number terminates in 0s or eventually repeats.(unpacked)NS.1.2Multiplication of Positiveand Negative NumbersNS.1.2Applying Rational Number PropertiesNegative TimesFind Decimals Using Long DivisionWeek 10 (Q4)5/22 - 5/25MAFS.7.RP.1.1 Calculator: YesCompute unit rates associated with ratios of fractions, including ratios of lengths, areas and otherquantities measured in like or different units.(unpacked)Thursday, 5/25 LAST DAY OF SCHOOL!!!!CPALMS Lesson: RP 1.1 - Basketball TournamentRP.1.1:Comparing Unit RatesComputing Unit RatesEnd of Fourth Nine WeeksEnd of School Year ................
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