Math - Grade 5 Instructional Unit Addition and Subtraction of Fractions Fifth Grade Math Unit Content Objective Performance Indicator Performance Task State Standards Code: Using Data; Addition and Subtraction of The students will be -Construct stem-and-leaf plots. -math message 2.1.5.A,2.2.5.I,2. Fractions able to create a variety (Beginning/Developing Skill) -mental math 4.5.A,2.4.5.B,2. Organizing Data of techniques to -Read and interpret -math boxes 4.5.C,2.4.5.D,2. Natural Measures of Length display and interpret stem-and-leaf plots. -math journal pages 4.5.E,2.4.5.F,2.5 Stem-and-Leaf Plots for Hand and Finger data from surveys, (Beginning/Developing Skill) -math masters .5.A,2.5.5.B,2.5. Measures stem-and-leaf plots, -Understand how sample size -study links 5.C,2.5.5.D,2.5. Mystery Plots and sample size. affects results. (Developing -calculator tasks 5.E,2.5.5.F,2.8.5 Sample Size and Good Conclusions -review methods for Skill) (required and/or .F,2.8.5.G, Analysis of Sample Data organizing data -Find and use data landmarks. optional) 2.8.5.I, American Tour: Climate -use metric and U.S. (Secure Skill) -games (optional): First 2.11.5.A,2.10.5. Using a Slide Rule to Add and Subtract customary units of to 21 A,2.9.5.B,2.1.5. Fractions length -statistical landmark C,2.2.5.A,2.2.5. Clock Fractions and Common Denominators -use stem-and-leaf review E,2.2.5.F,2.1.5.D Quick Common Denominators plots to organize data -stem-and-leaf plot ,2.3.5.D, Review and Assessment -interpret data in line construction 2.3.5.E plots and -line plot interpretation stem-and-leaf plots -sample size -investigate the comparisons relationship between -circle graph sample size and construction to display reliability of predictions data -sample data analysis -display and analyze -study guides (optional) data from a repeated experiment -quizzes (optional) -display and analyze -unit tests data from a student survey
Transcript
Math - Grade 5
Instructional Unit Addition and Subtraction of Fractions
Fifth Grade Math
Unit Content Objective Performance Indicator Performance Task State Standards Code:
Using Data; Addition and Subtraction of The students will be -Construct stem-and-leaf plots. -math message 2.1.5.A,2.2.5.I,2.Fractions able to create a variety (Beginning/Developing Skill) -mental math 4.5.A,2.4.5.B,2.Organizing Data of techniques to -Read and interpret -math boxes 4.5.C,2.4.5.D,2.Natural Measures of Length display and interpret stem-and-leaf plots. -math journal pages 4.5.E,2.4.5.F,2.5Stem-and-Leaf Plots for Hand and Finger data from surveys, (Beginning/Developing Skill) -math masters .5.A,2.5.5.B,2.5.Measures stem-and-leaf plots, -Understand how sample size -study links 5.C,2.5.5.D,2.5.Mystery Plots and sample size. affects results. (Developing -calculator tasks 5.E,2.5.5.F,2.8.5Sample Size and Good Conclusions -review methods for Skill) (required and/or .F,2.8.5.G,Analysis of Sample Data organizing data -Find and use data landmarks. optional) 2.8.5.I,American Tour: Climate -use metric and U.S. (Secure Skill) -games (optional): First 2.11.5.A,2.10.5.Using a Slide Rule to Add and Subtract customary units of to 21 A,2.9.5.B,2.1.5.Fractions length -statistical landmark C,2.2.5.A,2.2.5.Clock Fractions and Common Denominators -use stem-and-leaf review E,2.2.5.F,2.1.5.DQuick Common Denominators plots to organize data -stem-and-leaf plot ,2.3.5.D,Review and Assessment -interpret data in line construction 2.3.5.E
plots and -line plot interpretationstem-and-leaf plots -sample size-investigate the comparisonsrelationship between -circle graphsample size and construction to displayreliability of predictions data
-sample data analysis-display and analyze -study guides (optional)data from a repeated experiment -quizzes (optional)-display and analyze -unit testsdata from a studentsurvey
Instructional Unit Addition and Subtraction of Fractions
Using Data; Addition and Subtraction of The students will be -Add and subtract fractions -math message 2.1.5.A,2.2.5.I,2.Fractions able to demonstrate with common denominators. -mental math 4.5.A,2.4.5.B,2.Organizing Data the ability to add and (Developing Skill) -math boxes 4.5.C,2.4.5.D,2.Natural Measures of Length subtract fractions -Add and subtract fractions -math journal pages 4.5.E,2.4.5.F,2.5Stem-and-Leaf Plots for Hand and Finger using one or more with unlike denominators. -math masters .5.A,2.5.5.B,2.5.Measures procedures. (Developing Skill) -study links 5.C,2.5.5.D,2.5.Mystery Plots -use various -Find a common denominator. -calculator tasks 5.E,2.5.5.F,2.8.5Sample Size and Good Conclusions procedures to add and (Developing Skill) (required and/or .F,2.8.5.G,2.8.5.IAnalysis of Sample Data subtract fractions -Convert among fractions, optional) ,2.11.5.A,2.2.5.American Tour: Climate -review equivalent decimals, and percents. -games (optional): C,2.2.5.D,2.2.5.Using a Slide Rule to Add and Subtract fractions (Developing/Secure Skill) Frac-Tac-Toe E,2.6.5.B,2.6.5.Fractions -add and subtract -fractional parts of a A,2.6.5.D,2.6.5.Clock Fractions and Common Denominators fractions with unlike whole EQuick Common Denominators denominators -whole sets fromReview and Assessment -find and use common fractions
denominators to -slide rule usage tocompare, add, and solve fraction additionsubtract fractions and subtraction
Algebra Concepts and Skills The students will be -Use formulas to find -math messagePan-Balance Problems able to distinguish circumference and area of a -mental mathPan-Balance Problems with Two Balances between circle. (Developing Skill) -math boxesAlgebraic Expressions circumference and -Distinguish between -math journal pagesRules, Tables, and Graphs: Part 1 area formulas. circumference and area of -math mastersAmerican Tour: Predicting Old Faithful's Next -relate the circle problems. (Developing -study linksEruption circumference to the Skill) -calculator tasksRules, Tables, and Graphs: Part 2 diameter of a circle (required and/orReading Graphs -find an approximate optional)Circumference of a Circle value for pi by -circumference relatedAreas of Circles measuring round to the diameter of aReview and Assessment objects of various circle
objects -discovery of-measure the area of a approximate value of pi circle by counting -Unit Testssquares -pi key on calculators-use a formula to used to calculatecalculate the area of a circumference of circlescircle -Quizzes
-centimeter grids usedto measure the area of a circle-formula used tocalculate the area of acircle-study guides (optional)
Algebra Concepts and Skills The students will be -Write algebraic expressions to -math message 2.8.5.E,2.9.5.CPan-Balance Problems able to create algebraic describe situations. -mental mathPan-Balance Problems with Two Balances expressions to solve a (Developing Skill) -math boxesAlgebraic Expressions variety of problems. -Represent rate problems as -math journal pagesRules, Tables, and Graphs: Part 1 -translate word formulas, graphs, and tables. -math mastersAmerican Tour: Predicting Old Faithful's descriptions into (Developing Skill) -study links Next Eruption algebraic expressions -Interpret mystery line plots and -calculator tasksRules, Tables, and Graphs: Part 2 graphs. (Developing/Secure (required and/orReading Graphs -extend the "What's My Skill) optional)Circumference of a Circle Rule?" routine to rules -number storiesAreas of Circles with algebraic matched with numberReview and Assessment expressions expressions
-review the concept of -word descriptions rates translated into algebraic-represent rates with expressionsformulas, tables, and -"What's My Rule?" tablegraphs for algebraic-use a table and graph expressionsto solve and interpret a -students model problem based on a situations usingreal-world situation algebraic expressions-interpret line graphs -study guides (optional)
Algebra Concepts and Skills The students will be -Solve two-step pan-balance -math message 2.1.5.A,2.2.5.I,2.Pan-Balance Problems able to solve problems. (Beginning Skill) -mental math 4.5.A,2.4.5.B,2.Pan-Balance Problems with Two Balances pan-balance problems. -Solve one-step pan-balance -math boxes 4.5.C,2.4.5.D,2.Algebraic Expressions problems. (Developing/Secure -math journal pages 4.5.E,2.4.5.F,2.5Rules, Tables, and Graphs: Part 1 -introduce a Skill) -math masters .5.A,2.5.5.B,2.5.American Tour: Predicting Old Faithful's pan-balance approach -study links 5.C,2.5.5.D,2.5.Next Eruption for solving simple -calculator tasks 5.E,2.5.5.F,2.8.5Rules, Tables, and Graphs: Part 2 equations (required and/or .F,2.8.5.G,2.8.5.IReading Graphs -extend a pan-balance optional) ,2.11.5.A,2.11.5Circumference of a Circle approach for solving -pan-balance used to .E,2.11.5.F,2.9.5Areas of Circles equations to problems find the weight of a .H,2.6.5.A,2.8.5.Review and Assessment with two balances given object A,2.8.5.D
-pan-balance problems-pan-balance problemsthat model sets of twoequations in twounknowns-study guides (optional)-quizzes (optional)-unit tests
Instructional Unit Coordinates, Area, Volume, and Capacity
Coordinates, Area, Volume, and Capacity The students will be -Understand the concept of -math messageHidden Treasure: A Coordinate Game able to develop a volume of a figure. (Developing -mental mathCoordinate Graphs: Part 1 formula to determine Skill) -math boxesCoordinate Graphs: Part 2 the volume of a figure. -Use a formula to find the -math journal pagesAreas of Rectangles volume of prisms. (Developing -math mastersThe Rectangle Method for Finding Area -develop and use a Skill) -study linksFormulas for the Area of Triangles and formula for the volume -calculator tasksParallelograms of a rectangular prism (required and/orEarth's Water Surface and the School's optional)Land Area -calculate the volume -volume and areaVolume of Rectangular Prisms of any prism by comparisonVolume of Prisms multiplying the area of -formula for volumeCapacity: Liter, Milliliter, and Cubic its base by its height developedCentimeter -examine the -volume formula forReview and Assessment relationships among nonrectangular prism
the liter, milliliter, and verified and practicedcubic centimeter -conversion between
metric units of volumeand capacity and U.S.customary units-centimeter grid paperused to find greatestpossible volume-study guides (optional)-quizzes (optional)-unit tests
Instructional Unit Coordinates, Area, Volume, and Capacity
Coordinates, Area, Volume, and Capacity The students will be -Identify the base and height of -math message 2.9.5.F,2.9.5.H,2Hidden Treasure: A Coordinate Game able to determine the triangles and parallelograms. -mental math .9.5.I,2.9.5.J,2.9.Coordinate Graphs: Part 1 area of triangles and (Developing/Secure Skill) -math boxes 5.L,2.3.5.A,2.3.Coordinate Graphs: Part 2 parallelograms. -Use a formula to find the area -math journal pages 5.B,2.3.5.C,2.6.Areas of Rectangles -review area concepts or triangles and parallelograms. -math masters 5.A,2.8.5.H,2.9.The Rectangle Method for Finding Area and units of area (Developing/Secure Skill) -study links 5.AFormulas for the Area of Triangles and -discuss and use the -Understand the concept of -calculator tasksParallelograms formula for the area of area of a figure. (Secure Skill) (required and/orEarth's Water Surface and the School's a rectangle -Use a formula to find the area optional)Land Area -identify personal of rectangles. (Secure Skill) -area unit reviewVolume of Rectangular Prisms references for -formula for area ofVolume of Prisms common units of area rectangleCapacity: Liter, Milliliter, and Cubic -explore the rectangle -area identificationCentimeter method for finding -rectangle method toReview and Assessment areas of polygons find area of triangles
-develop and use and parallelograms on aformulas for the area gridof a triangle and the -base and height ofarea of a parallelogram parallelograms and
triangles identified-use sampling to -formulas for the area ofestimate the percent of a triangle and Earth's surface parallelogram developedcovered by water and utilized-estimate the land area -study guides (optional)of the school
-quizzes (optional)-unit tests
Instructional Unit Coordinates, Area, Volume, and Capacity
Coordinates, Area, Volume, and Capacity The students will be -Plot ordered pairs on a -math message 2.1.5.A,2.2.5.I,2.Hidden Treasure: A Coordinate Game able to create and four-quadrant coordinate grid. -mental math 4.5.A,2.4.5.B,2.Coordinate Graphs: Part 1 interpret a coordinate (Developing Skill) -math boxes 4.5.C,2.4.5.D,2.Coordinate Graphs: Part 2 grid plane. -Plot ordered pairs on a -math journal pages 4.5.E,2.4.5.FAreas of Rectangles -review coordinate one-quadrant coordinate grid. -math masters 2.5.5.A,2.5.5.B,The Rectangle Method for Finding Area grids, ordered number (Developing/Secure Skill) -study links 2.5.5.C,2.5.5.D,Formulas for the Area of Triangles and pairs, and coordinates -calculator tasks 2.5.5.E,2.5.5.F,2Parallelograms (required and/or .8.5.F,2.8.5.G,2.Earth's Water Surface and the School's -use a coordinate grid optional) 8.5.I,2.11.5.A,2.Land Area -games (optional): 9.5.B,2.9.5.D,2.Volume of Rectangular Prisms -plot and read ordered Hidden Treasure, 11.5.E,2.11.5.F,Volume of Prisms number pairs Advanced Hidden 2.10.5.A,2.9.5.ECapacity: Liter, Milliliter, and Cubic -transform ordered TreasureCentimeter number pairs -coordinate grids,Review and Assessment -explore transformation ordered number pairs,
of figures in a plane and coordinates review-plot and number pairlocation (orally)-transformation ofordered number pairs toexplore changes offigures-latitude and longitudegrid used to estimate the percent of Earth'ssurface covered bywater and to estimatethe land area of theschool-study guides (optional)-quizzes (optional)-unit tests
Division The students will be -Divide decimal numbers by -math message 2.1.5.A,2.2.5.I,2.Division Facts and Extensions able to apply one or whole numbers with no -mental math 4.5.A,2.4.5.B,2.The Partial-Quotients Division Algorithm more division remainders. (Beginning Skill) -math boxes 4.5.C,2.4.5.D,2.American Tour: Finding Distances on a Map algorithms for whole -Write and solve number -math journal pages 4.5.E,2.4.5.F,2.5Division of Decimal Numbers numbers and decimals. sentences with variables for -math masters .5.A,2.5.5.B,2.5.Interpreting the Remainder division number stories. -study links 5.C,2.5.5.D,2.5.Skills Review with First to 100 -review division facts (Beginning Skill) -calculator tasks 5.E,2.5.5.F,2.8.5Review and Assessment -Find the quotient and (required and/or .F,2.8.5.G,2.8.5.I
-mentally divide two remainder of a whole number optional) ,2.11.5.A,2.2.5.digit numbers by one divided by a one digit whole -games (optional): H,2.2.5.I,2.3.8.Fdigit numbers number. (Developing Skill) Division Dash, First to-review and practice -Make magnitude estimates for 100,partial-quotients quotients of whole and decimal -links betweendivision algorithm for numbers divided by whole multiplication anddividing a whole numbers. (Developing Skill) divisionnumber by a whole -Interpret the remainder in -"friendly" numbersnumber division number stories. -place value skills-make magnitude (Developing Skill) -partial-quotientsestimates for quotients -Determine the value of a division algorithm
variable; use this value to -"easy" multiples-use partial-quotients complete a number sentence. -estimation techniquesdivision algorithm to (Developing Skill) from tenths to thedivide decimals by -Know place value to hundredswhole numbers hundredths. (Secure Skill) -magnitude bar skills-solve division number -fact trianglesstories and interpret -number sentences toremainders within the represent divisioncontext of the stories number stories
-remainder interpretation within the context ofnumber stories-study guides (optional)
Estimation and Computation The students will be -Write and solve open -math message 2.1.5.A,2.1.5.B,Estimation Challenge able to develop and sentences for number stories. -mental math 2.2.5.I,2.4.5.A,2.Procedures for Addition of Whole Numbers apply algorithms for (Beginning Skill) -math boxes 4.5.B,2.4.5.C,2.and Decimals addition, subtraction, -Find the product of multidigit -math journal pages 4.5.D,2.4.5.E,2.4Procedures for Subtraction of Whole and multiplication of whole numbers and decimals. -math masters .5.F,2.5.5.A,2.5. Numbers and Decimals decimals. (Developing/Secure Skill) -study links 5.B,2.5.5.C,2.5.Addition and Subtraction Number Stories -review place value -Find the sum and difference of -calculator tasks 5.D,2.5.5.E,2.5.5Estimate Your Reaction Time concepts for whole multidigit whole numbers and (required and/or .F,2.8.5.F,2.8.5.Chance Events numbers and decimals decimals. (Secure Skill) optional) G,2.8.5.I,2.11.5.Estimating Products -games (optional): Beat A,2.11.5.C,2.8.5Multiplication of Whole Numbers -use partial-sums and the Calculator, Baseball .D,2.8.5.A,2.8.5.and Decimals column-addition Multiplication, Addition C,2.7.5.E,2.6.5.The Lattice Method of Multiplication methods Top-It, Subtraction D,2.2.5.G,Comparing Millions, Billions, and Trillions -subtract multidigit Target Practice, 2.2.5.H,2.2.5.IReview and Assessment whole numbers by High-Number Toss,
using the trade-first Multiplication Bull's-Eye,and partial-differences methods -place value charts-use a guide for (optional)solving number stories -partial-sums and
column-addition methods-use open sentences as aids in solving -trade-first andnumber stories partial-differences-make magnitude methodsestimates for products -open numberof whole numbers and sentencesdecimals -lattice method for-use partial-products whole numbers andmethod to multiply decimalsmultidigit whole -partial-products methodnumbers-introduce products of -magnitude estimates
decimals -magnitude bar-review and practice estimationsthe lattice method for -study guides (optional)multiplication of whole numbers and decimals -quizzes (optional)
Estimation and Computation The students will be -Make magnitude estimates. -math message 2.7.5.D,2.4.5.A,Estimation Challenge able to perform (Developing/Secure Skill) -mental math 2.1.5.C,2.2.5.A,Procedures for Addition of Whole Numbers experiments, gather -Identify the maximum, -math boxes 2.6.5.B,2.2.5.H,and Decimals and analyze data, minimum, median, mode, and -math journal pages 2.2.5.B,2.2.5.EProcedures for Subtraction of Whole Numbers make predictions, and mean for a data set. -math masters and Decimals draw conclusions. (Secure Skill) -study linksAddition and Subtraction Number Stories -devise an estimation -calculator tasksEstimate Your Reaction Time strategy to solve a (optional)Chance Events problem -games (optional): BeatEstimating Products -review statistical the Calculator, BaseballMultiplication of Whole Numbers and Decimals landmarks for a set of Multiplication
data -Grab-It GaugeThe Lattice Method of Multiplication -estimate the -statistical landmarksComparing Millions, Billions, and Trillions probability of an event -individual reaction timesReview and Assessment
-data interpretation-Probability Meter Poster-thumb tack toss-conversion factors forunits of time-study guides (optional)-quizzes (optional)-unit tests
Estimation and Computation The students will be -Round numbers to designated -math messageEstimation Challenge able to demonstrate places. (Developing Skill) -mental mathProcedures for Addition of Whole Numbers their understanding of -Know place value to billions. -math boxesand Decimals millions, billions, and (Developing/Secure Skill) -math journal pagesProcedures for Subtraction of Whole Numbers trillions. -math masters and Decimals -study linksAddition and Subtraction Number Stories -calculator tasksEstimate Your Reaction Time (optional)Chance Events -place value chartEstimating Products (optional)Multiplication of Whole Numbers and Decimals -magnitude bars
-estimation techniquesThe Lattice Method of Multiplication -study guides (optional)Comparing Millions, Billions, and TrillionsReview and Assessment -quizzes (optional)
Exponents and Negative Numbers The students will be -Understand and apply -math message 2.8.5.D,2.10.5.AExponential Notation able to demonstrate scientific notation. -mental math ,2.11.5.B,2.1.8.Exponential Notation for Powers of 10 the use of scientific (Beginning/Developing Skill) -math boxes B,2.1.8.EScientific Notation notation. -Understand and apply powers -math journal pagesParentheses in Number Sentences -introduce exponential of 10. (Developing Skill) -math mastersOrder of Operations notation -Understand and apply -study linksUsing Negative Numbers -introduce exponential notation. -calculator tasksAddition of Positive and Negative Numbers number-and-word (Developing/Secure Skill) (required and/orSubtraction of Positive and Negative Numbers notation for large optional)
numbers -games (optional):Using a Slide Rule to Add and Subtract -use exponential Exponent Ball,Calculator Practice: Working with Negative notation for positive Scientific-Notation TossNumbers powers of 10Review and Assessment -introduce scientific -exponential notation as
notation for large repeated-factorsnumbers expressions
-exponential notationinto standard notation-standard notation,number-and-wordnotation, andexponential notation torepresent large numbers
Fifth Grade MathUnit Content Objective Performance Indicator Performance Task State Standards Code:Exponents and Negative Numbers The students will be -Understand and apply order of -math message 2.1.5.A,2.2.5.I,2.Exponential Notation able to utilize the order operations to evaluate -mental math 4.5.AExponential Notation for Powers of 10 of operations to expressions and solve number -math boxes 2.4.5.B,2.4.5.C,Scientific Notation evaluate expressions sentences. (Developing Skill) -math journal pages 2.4.5.D,2.4.5.E,2Parentheses in Number Sentences and solve number -Understand and apply the use -math masters .4.5.F,2.5.5.A,2.Order of Operations sentences. of parentheses in number -study links 5.5.B,2.5.5.C,2.Using Negative Numbers -review the use of sentences. (Developing/Secure -calculator tasks 5.5.D,2.5.5.E,2.5Addition of Positive and Negative Numbers parentheses Skill) (required and/or .5.F,2.8.5.F,2.8.Subtraction of Positive and Negative -practice translating optional) 5.G,2.8.5.I,2.11.Numbers number stories into -games (optional): Name 5.A,2.1.5.F,2.2.Using a Slide Rule to Add and Subtract arithmetic expressions That Number, High 5.A,2.2.5.ECalculator Practice: Working with Negative Number TossNumbers -introduce the rules for -parentheses in numberReview and Assessment order of operations sentences involving
more than one operation-number stories intoexpressions insertingparentheses in properplaces-order of operation rules-study guides (optional)-quizzes (optional)-Unit tests
Exponents and Negative Numbers The students will be -Add and subtract positive and -math messageExponential Notation able to recognize the negative numbers. (Developing -mental mathExponential Notation for Powers of 10 need for negative Skill) -math boxesScientific Notation numbers in certain -Understand and apply the use -math journal pagesParentheses in Number Sentences situations and develop of parentheses in number -math mastersOrder of Operations methods for sentences. (Developing/Secure -study linksUsing Negative Numbers comparing, adding, and Skill) -calculator tasksAddition of Positive and Negative Numbers subtracting positive -Order and compare positive (required and/orSubtraction of Positive and Negative and negative numbers. and negative numbers. optional)Numbers (Developing/Secure Skill) -games (optional): NameUsing a Slide Rule to Add and Subtract -review uses of That Number, Top-ItCalculator Practice: Working with Negative negative numbers (with positive andNumbers -compare and order negative numbers)Review and Assessment positive and negative -number line to graph,
numbers compare, and order-develop rules for positive and negativeadding positive and numbersnegative numbers -counters to explore-develop a rule for addition or positive andsubtracting positive negative numbersand negative numbers -rule for adding positive
and negative numbers-add and subtract -counters to develop apositive and negative rule for subtractingnumbers using a positive and negativecalculator numbers
-positive and negativenumber subtraction-slide rule skills to solvepositive and negativeaddition and subtractionproblems-negative numbers
Fractions and Ratios The students will be -Use an algorithm to subtract -math message 2.1.5.A,2.2.5.I,2.Review: Comparing Fractions able to use equivalent mixed numbers with like -mental math 4.5.A,2.4.5.B,2.Adding Mixed Numbers names for fractions denominators. (Developing -math boxes 4.5.C,2.4.5.D,2.Subtracting Mixed Numbers and mixed numbers to Skill) -math journal pages 4.5.E,2.4.5.F,2.5Calculator Fractions: Fraction Action, then order, add, -Use an algorithm to add -math masters .5.A,2.5.5.B,2.5. Fraction Friction subtract, and divide mixed numbers. -study links 5.C,2.5.5.D,2.5.Fractions of Fractions fractions and mixed (Developing/Secure Skill) -calculator tasks 5.E,2.5.5.F,2.8.5An Area Model for Fraction Multiplication numbers. -Order and compare fractions. (required and/or .F,2.8.5.G,2.8.5.IMultiplication of Fractions and Whole -review renaming (Developing/Secure Skill) optional) ,2.11.5.A,2.8.5.Numbers fractions as equivalent -Convert between fractions -games (optional): E,2.7.5.C,2.6.5.Multiplication of Mixed Numbers fractions and mixed or whole numbers. Build-It, Fraction Action, D,2.1.5.B,2.1.5.Finding a Percent of a Number -compare fractions by (Secure Skill) Fraction Friction, G,2.2.5.F,2.2.5.Using Unit Fractions and Unit Percents using a common -Find common denominators. Fraction Spin, H,2.1.5.D,to Find the Whole denominator (Secure Skill) Frac-Tac-Toe 2.1.8.DAmerican Tour: Rural and Urban -review adding -fractions renamed asFraction Division fractions equivalent fractionsReview and Assessment -introduce addition of -fractions compared by
mixed numbers renaming as equivalent-introduce subtraction fractions with a commonof mixed numbers with denominatorlike denominators -mixed number addition-explore using the with like and unlikecalculator to solve denominatorsfraction problems -simplest form-practice adding -ruler skills to comparefractions with unlike fractionsdenominators -subtracting mixed-introduce a common numbers with likedenominator method denominatorsfor division of fractions -patterns from adding
number-diagrams to dividefractions-common denominatormethod for dividingfractions and mixednumbers-study guides (optional)-quizzes (optional)-unit tests
Fractions and Ratios The students will be -Use an algorithm to multiply -math message 2.6.5.E,2.2.5.D,2Review: Comparing Fractions able to utilize one or mixed numbers. (Beginning -mental math .2.5.E,2.6.5.A,2.Adding Mixed Numbers more procedures to Skill) -math boxes 8.5.BSubtracting Mixed Numbers multiply fractions and -Use an algorithm to multiply -math journal pagesCalculator Fractions: Fraction Action, mixed numbers. fractions. (Developing Skill) -math masters Fraction Friction -model finding a -study linksFractions of Fractions fraction of a fraction -calculator tasksAn Area Model for Fraction Multiplication by folding paper (required and/orMultiplication of Fractions and -use an area model to optional) Whole Numbers show fraction -games (optional):Multiplication of Mixed Numbers multiplication Fraction Spin,Finding a Percent of a Number -develop a fraction Frac-Tac-ToeUsing Unit Fractions and Unit Percents multiplication algorithm -folding techniques toto Find the Whole find fractions ofAmerican Tour: Rural and Urban -use an area model fractionsFraction Division and the fraction -area model for fractionReview and Assessment algorithm to find the multiplication
product of a whole -standard algorithm fornumber and a fraction fraction multiplication
-conversions from-introduce two mixed numbers toalgorithms for fractions and fractionsmultiplication with to mixed numbersmixed numbers: partial before multiplying products and -partial products andconverting mixed addition to multiply mixednumbers to fractions numbers
Fractions and Ratios The students will be -Find a percent of a number. -math messageReview: Comparing Fractions able to demonstrate (Developing Skill) -mental mathAdding Mixed Numbers the ability to estimate -Convert among fractions, -math boxesSubtracting Mixed Numbers and calculate the decimals, and percents. -math journal pagesCalculator Fractions: Fraction Action, percent of a number (Secure Skill) -math masters Fraction Friction and practice using -study linksFractions of Fractions unit fractions and -calculator tasksAn Area Model for Fraction Multiplication unit percents to find a (required and/orMultiplication of Fractions and Whole whole when a part is optional)Numbers given. -estimation to findMultiplication of Mixed Numbers percentsFinding a Percent of a Number -calculator andUsing Unit Fractions and Unit Percents paper-pencil skills to findto Find the Whole percentsAmerican Tour: Rural and Urban -unit fraction or unitFraction Division percent to find theReview and Assessment whole number
-percents to estimate-study guides (optional)-quizzes (optional)-unit tests
Instructional Unit Fractions, Decimals, and Percents
Fractions, Decimals, and Percents The students will be -Draw a circle graph for a set -math messageFraction Review able to construct and of data. (Developing Skill) -mental mathMixed Numbers label bar and circle -Measure pieces of a circle -math boxesOrdering Fractions graphs. graph; interpret a circle graph. -math journal pagesTwo Rules for Finding Equivalent Fractions (Developing Skill) -math mastersFractions and Decimals: Part 1 -study linksFractions and Decimals: Part 2 -calculator tasksFractions and Decimals: Part 3 (required and/orUsing a Calculator to Convert Fractions to optional)Percents -games (optional):Bar and Circle Graphs Factor Captor,The Percent Circle: Reading Circle Graphs Multiplication Bull's-Eye,The Percent Circle: Making Circle Graphs Estimation Squeeze,American Tour: School Days Frac-Tac-Toe,Review and Assessment Frac-Tac-Toe (Percent
Version), Frac-Tac-Toe(Bingo Version)-fractional parts of large whole numbers-ruler skills withfractions-pattern blocks-mixed-numberconcepts-"improper" fractions-Fraction-Stick Chart-equivalent fractionexploration-equivalent fractionrules of multiplicationand division-fractions as decimals-decimals rounding
Instructional Unit Fractions, Decimals, and Percents
-decimal equivalents-decimals to percentswith a calculator-one-digit divisors-Table of DecimalEquivalents-circle graphconstruction using aPercent Circle-study guides (optional)-quizzes (optional)-unit tests
Instructional Unit Fractions, Decimals, and Percents
Fractions, Decimals, and Percents The students will be -Add fractions with like -math message 2.1.5.A,2.2.5.I,2.Fraction Review able to compare denominators. -mental math 4.5.A,2.4.5.B,2.Mixed Numbers fractions, decimals, (Beginning/Developing Skill) -math boxes 4.5.C,2.4.5.D,2.Ordering Fractions and percent notations -Order and compare fractions. -math journal pages 4.5.E,2.4.5.F,Two Rules for Finding Equivalent Fractions by using one or more (Developing Skill) -math masters 2.5.5.A, 2.5.5.B,Fractions and Decimals: Part 1 procedures. -Convert between fractions -study links 2.5.5.C,Fractions and Decimals: Part 2 -find fractional parts of and percents. (Developing Skill) -calculator tasks 2.5.5.D,Fractions and Decimals: Part 3 large whole numbers (required and/or 2.5.5.E,2.5.5.F,2Using a Calculator to Convert Fractions to -explore mixed -Convert between fractions optional) .8.5.F,2.8.5.G,2.Percents numbers concepts and mixed numbers. -games (optional): 8.5.I,Bar and Circle Graphs -convert between (Developing/Secure Skill) Factor Captor, 2.11.5.A,2.9.5.FThe Percent Circle: Reading Circle Graphs mixed numbers and -Find equivalent fractions. Multiplication Bull's-Eye, ,2.3.5.B,2.3.5.C,The Percent Circle: Making Circle Graphs improper fractions (Developing/Secure) Estimation Squeeze, 2.11.5.C,2.11.5.American Tour: School Days -compare and order Frac-Tac-Toe, B,2.8.5.EReview and Assessment fractions Frac-Tac-Toe (Percent 2.7.5.C
-review equivalent Version), Frac-Tac-Toefractions (Bingo Version)-explore fraction -fractional parts of largeaddition whole numbers-use fraction sticks to -ruler skills withfind equivalent fractionsfractions -pattern blocks-use fraction sticks to -mixed-numberformulate multiplication conceptsand division rules for -"improper" fractionsfinding equivalent -Fraction-Stick Chartfractions -equivalent fraction-rename simple explorationfractions as decimals -equivalent fraction-reviewing rounding rules of multiplicationdecimals and division-find decimals between -fractions as decimals pairs of numbers -decimals rounding
Instructional Unit Fractions, Decimals, and Percents
-use a calculator to -decimal equivalentsfind decimal equivalent -decimals to percentsfor fractions with a calculator-use a fraction to -one-digit divisorsconvert decimals to -Table of Decimalpercents Equivalents
-circle graphconstruction using aPercent Circle-study guides (optional)-quizzes (optional)-unit tests
Geometry Explorations The students will be -Define and create -math message 2.11.5.B,2.9.5.L,Introduction to the American Tour able to recognize and tessellations. (Secure Skill) -mental math 2.9.5.J,2.9.5.D,2American Tour: Population Estimates create tessellations. -math boxes .9.5.B,2.9.5.G,2.Exploring Angle Measures -math journal pages 9.5.C,2.9.5.K,2.Using a Protractor -math masters 9.5.A,2.9.5.E,2.Using a Compass -study links 8.5.C,2.8.5.B,2.Congruent Triangles -calculator tasks 6.5.B,2.6.5.E,2.1Properties of Polygons (required and/or .5.C,2.3.5.D,2.2.Regular Tessellations optional) 5.D,2.2.5.EAngles of Polygons -games (optional): AngleSolving Problems Using the Geometry TangleTemplate -history and concept ofReview and Assessment tessellations
Geometry Explorations The students will be -Determine angle measures -math message 2.1.5.A, 2.2.5.I,Introduction to the American Tour able to distinguish based on relationships -mental math 2.4.5.A, 2.4.5.B,American Tour: Population Estimates the various between angles. (Developing -math boxes 2.4.5.C,Exploring Angle Measures properties of basic Skill) -math journal pages 2.4.5.D, 2.4.5.E,Using a Protractor plane figures by -Estimate the measure of an -math masters 2.4.5.F, 2.5.5.A,Using a Compass utilizing a variety of angle. (Developing/Secure -study links 2.5.5.B,Congruent Triangles geometric tools Skill) -calculator tasks 2.5.5.C, 2.5.5.D,Properties of Polygons .-find the degree -Measure an angle to within 2 (required and/or 2.5.5.E, 2.5.5.F,Regular Tessellations measures of angles degrees. (Developing/Secure optional) 2.8.5.F,Angles of Polygons using relationships Skill) -games (optional): Angle 2.8.5.G, 2.8.5.I,Solving Problems Using the Geometry between angles -Identify types of angles. Tangle, Polygon 2.11.5.ATemplate and circles (Developing/Secure Skill) CaptureReview and Assessment -review types of angles -Identify types of triangles. -degrees in a circle
-use a protractor to (Developing/Secure Skill) -relationships amongmeasure and draw -Identify place value in numbers anglesangles to billions. (Secure) -algorithms and number-use a compass to -Know properties of polygons. models to solve numberdraw a circle and copy (Secure) stories a line segment -definitions for acute-use a compass to and obtuse anglesmeasure and -geometry template skillsinvestigate angles formed by intersecting -protractor skillslines -data landmarks-classify and sort -bar graphgeometric shapes -compass skills-find the sum of the -angle measurementsmeasures of the -relationships betweenangles in any polygon pairs of vertical angles-use the Geometry and between pairs ofTemplate for problem adjacent anglessolving -definitions of
Number Theory The students will be -Find the prime factorization -math message 2.1.5.A,2.2.5.I,2.Rectangular Arrays able to relate number of numbers. (Beginning Skill) -mental math 4.5.A,2.4.5.B,2.Factors theory to factors and -Rename numbers written in -math boxes 4.5.C,2.4.5.D,2.The Factor Captor Game products, prime and exponential notation. -math journal pages 4.5.E,2.4.5.F,2.5Divisibility composite numbers, (Beginning/Developing Skill) -math masters .5.A,2.5.5.B,2.5.Prime and Composite Numbers square numbers, and -Use a divisibility test to -study links 5.C,2.5.5.D,2.5.Square Numbers square roots of determine if a number is -divisibility test 5.E,2.5.F,2.8.5.FUnsquaring Numbers numbers. divisible by another number. -games: Factor Captor, ,2.8.5.G,2.8.5.I,2Factor Strings and Prime -review rectangular (Developing/Secure Skill) Name That Number, .11.5.A,2.8.5.C,Factorizations arrays and use -Identify prime and composite Baseball Multiplication, 2.8.5.D,2.9.5.F,2
Review and Assessment multiplication number numbers. (Developing/Secure Multiplication Top-It, .8.5.A,2.7.5.I,2.1models to represent Skill) Number Top-It, Beat the .5.G,2.1.5.B,2.1.arrays -Understand how square Calculator, Factor Top-It, 5.E,-review meanings of numbers and their square Factor Bingo (optional)factor and product and roots are related. find all factor pairs for (Developing/Secure Skill) -rectangular arraysa number -Draw arrays to model -factor rainbow-find all factors of a multiplication. (Secure Skill) -factors of wholegiven number and -Know basic multiplication numbersreview divisibility rules facts. (Secure Skill) -patterns
-Identify even and odd -fact triangles-test for divisibility numbers. (Secure Skill) -square numbers-classify whole -List the factors of a number. -exponential notationnumbers as prime or (Secure Skill) -unsquaring numberscomposite -calculator tasks-represent square (optional)numbers as square -study guides (optional)arrays and as exponents -quizzes (optional)-find the square root of -unit tests a number
Probability, Ratios, and Rates The students will be -Use tree diagrams to find all -math message 2.6.5.E,2.7.5.E,2Factor Trees able to utilize tree possible ways a sequence of -mental math .6.5.A,2.6.5.D,2.Choices, Tree Diagrams, and Probability diagrams to represent choices can be made. -math boxes 7.5.A,2.7.5.B,2.American Tour: Ratio Exploration and count (Beginning Skill) -math journal pages 7.5.D,2.7.5.F,2.7Ratios of Parts to Wholes combinations of -Compute the probability of -math masters .5.G,2.7.5.H,2.7.Number Models for Ratio Number Stories choices and to find outcomes when choices are -study links 5.IFinding Your Heart Rate probabilities in equally likely. (Beginning Skill) -calculator tasksCollecting, Graphing, and Interpreting situations where the -Use the Multiplication (required and/or Exercise Data combinations are Counting Principle to find optional)Finding Your Cardiac Output equally likely. the total number of possible -tree diagrams used toAmerican Tour: End-of-Year Projects -find the number of outcomes of a sequence of represent and countReview and Assessment ways in which a choices. (Beginning/ combinations of choices
sequence of choices Developing Skill) and to find probabilitycan be made "equally likely"-use tree diagrams situations-find probabilities in -study guides"equally likely" (optional)situations -quizzes (optional)
Probability, Ratios, and Rates The students will be -Solve ratio and rate number -math message 2.1.5.A, 2.2.5.I,Factor Trees able to develop ratios stories. (Developing/Secure -mental math 2.4.5.A, 2.4.5.B,Choices, Tree Diagrams, and Probability and rates. Skill) -math boxes 2.4.5.C,American Tour: Ratio Exploration -explore the uses of -math journal pages 2.4.5.D, 2.4.5.E,Ratios of Parts to Wholes ratios and ways of -math masters 2.4.5.F, 2.5.5.A,Number Models for Ratio Number Stories expressing ratios -study links 2.5.5.B,Finding Your Heart Rate -model and solve -calculator tasks 2.5.5.C, 2.5.5.D,Collecting, Graphing, and Interpreting problems using ratios (required and/or 2.5.5.E, 2.5.5.F, Exercise Data of part of a set to the optional) 2.8.5.F,Finding Your Cardiac Output whole set -ratios used to examine 2.8.5.G, 2.8.5.I,American Tour: End-of-Year Projects -write and solve trends in data 2.11.5.AReview and Assessment number models for -ratio comparisons in the
ratio number stories form "10 times more"-find students' heart and "1/10 of" constructrates -study guides (optional-graph personal and -equivalent forms ofclass heart rate data ratios expressed-examine how the -ratio problems used toheart pumps blood compare part of a set tothroughout the body a whole set-calculate cardiac -number storiesoutput at rest and involving ratios of partcompare it with cardiac of a set to a whole set output after exercising -meaning and uses of
Fifth Grade MathUnit Content Objective Performance Indicator Performance Task State Standards Code:Probability, Ratios, and Rates The students will be -Find the greatest common -math message 2.1.5.A,2.2.5.I,2.Factor Trees able to use factor trees factor of two numbers. -mental math 4.5.A,2.4.5.B,2.Choices, Tree Diagrams, and Probability to find prime (Developing Skill) -math boxes 4.5.C,2.4.5.D,2.American Tour: Ratio Exploration factorization, greatest -Find the least common -math journal pages 4.5.E,2.4.5.F,2.5Ratios of Parts to Wholes common factors, and multiple of two numbers. -math masters .5.A,2.5.5.B,2.5.Number Models for Ratio Number Stories least common multiples. (Developing Skill) -study links 5.C,2.5.5.D,2.5.Finding Your Heart Rate -Find the identify factors of -calculator tasks 5.E,2.5.5.F,2.8.5Collecting, Graphing, and Interpreting -use a factor tree to numbers. (Secure Skill) (required and/or .F,2.8.5.G,2.8.5.I Exercise Data find the prime factors -Find the prime factorizations of optional) ,2.11.5.A,2.11.5Finding Your Cardiac Output of a number numbers. (Secure Skill) -factor trees used to .D,2.8.5.D,2.7.5.American Tour: End-of-Year Projects -find the greatest find all prime factors of J,2.8.5.E,2.1.5.GReview and Assessment common factor and the a number ,2.2.5.E,2.3.8.D
least common multiple -prime factorizationsof two numbers used to find greatestcommon factors andleast common multiples
-simplify fractions-Multiplication CountingPrinciple used to find avariety of sequence ofchoices-study guides (optional)-quizzes (optional)
Volume The students will be -Understand the relationship -math message 2.1.5.A,2.2.5.I,2.Review of Geometric Solids: Part 1 able to develop between the volume of -mental math 4.5.A,2.4.5.B,2.Review of Geometric Solids: Part 2 formulas for finding the pyramids and prisms as -math boxes 4.5.C,2.4.5.D,2.Volume of Cylinders volume of prisms, well as the volume of -math journal pages 4.5.E,2.4.5.F,2.5Volume of Pyramids and Cones cylinders, pyramids, cones and cylinders. -math masters .5.A,2.5.5.B,2.5.Finding Volume by a Displacement and cones. (Beginning Skill) -study links 5.C,2.5.5.D,2.5.Method Capacity and Weight -review the names and -Understand the concept -calculator tasks 5.E,2.5.5.F,2.8.5Surface Area properties of of capacity and how to (required and/or .F,2.8.5.G,2.8.5.IReview and Assessment geometric solids calculate it. (Beginning Skill) optional) ,2.11.5.A,2.11.5
-review the meaning of -Use formulas to find the -games (optional): 3-D .F,2.11.5.E,2.9.5 bases of geometric volume of prisms and. Shape Sort .J,2.9.5.D,2.9.5.solids cylinders (Developing/ -properties of geometric L,2.9.5.H-compare the Secure Skill)- solids reviewedproperties of prisms, -Know the properties of -volume formula forpyramids, cylinders, geometric solids. prisms and cylindersand cones (Secure Skill) applied and used-verify that the volume -"area of base andformula for prisms also height" formula used to applies to cylinders solve problems-use the formula to -volume of pyramid andsolve volume problems cone calculatedfor prisms and -volume of an irregularcylinders object measured via-explore the displacementrelationship between -students solve athe volume of prisms capacity problem byand pyramids, and converting a unit ofbetween the volume of liquid capacity to a cylinders and cones volume in cubic units-find the volume of an -study guides (optional)irregular object by submerging it in water -quizzes (optional)and measuring the -unit tests
Volume The students will be -Find the surface area of -math message 2.9.5.B,2.9.5.A,Review of Geometric Solids: Part 1 able to calculate the prisms. (Beginning Skill) -mental math 2.9.5.E,2.9.5.C,2Review of Geometric Solids: Part 2 area of prisms, -Understand how to find the -math boxes .3.5.A,2.3.5.B,2.Volume of Cylinders cylinders, pyramids, surface area of cylinders. -math journal pages 3.5.C,2.6.5.AVolume of Pyramids and Cones polygons, and circles. (Beginning Skill) -math mastersFinding Volume by a Displacement -Use formulas to find the -study linksMethod Capacity and Weight area of polygons and circles. -calculator tasksSurface Area (Secure Skill) (required and/orReview and Assessment optional)
-problem solvinginvolving thecircumference and areaof circles-formulas used to findthe area of variouspolygons-surface area of prisms, cylinders, and pyramids calculated-study guides (optional)-quizzes (optional)-unit tests
