Trailblazers Pacing Guide Marking Period 1 (September, October, November)Standard Based Skills Math

Trailblazers UnitResources and Manipulatives Assessment Vocabulary

* Gather organize, graph and analyze data by using variables, making data tables and drawing bar graphs* Investigate concepts of average: mean, median and mode* Predict population characteristics from samples* Use varied strategies to solve multi-step word problems* Translating between graphs and real world events* Making and interpreting bar graphs* Choosing to find an estimate or an estimate or exact answer* fining the probability of an event based on collected data

Unit 1 (8 days)Populations and Samples Lessons:1, 3-6

(URG, Student Guide, Discovery Assignment Book, Adventure Book)ManipulativesLessons 1-3, 5& 6 DPPCentimeter Grid PaperTwo-Column Data Table Square-inch tilesBrown lunch bagsEnvelopes Calculators

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DPP C, G, K, OURG pp 36, 90Open-ended Questions with Scoring RubricsAssessment LabsSelf-AssessmentQuizzes & Tests

Categorical variable; numerical variable; data; values; mode; variable; average; median variable; mean; median; mode; baseline; compromise; developed; erosion; isolated; region; reliable; troop; viola; collection folder; median; population; probability; rubric; sample

Trailblazers Pacing Guide Marking Period 1 (September, October, November)* Expand understanding of reading and writing large numbers using conventions, patterns and estimation* Reinforce concepts of multiplication and division* Reinforce base-ten concepts using base-ten pieces* Reinforce multiplying numbers with ending zeros* Reinforce the concept of multiplication and use estimation to solve multiplication problems* Use scientific notation to represent large numbers* Understand scientific notation using a calculator* Problem solve in cooperative groups* Finding numbers convenient for estimating* Reviewing terminology, patterns, and conventions used in reading and writing large numbers* Translating between different representations of quantities (concrete, pictorial, symbolic)* Investigating patterns used in representing large and small numbers in a place value system* Using patterns in data to solve problems* Measuring length in centimeters

Unit 2 (12 days) Big NumbersLessons: 1-2, 4-9

Math Trailblazers, Gr. 5 (URG, SG,DAB,AB)ManipulativesLessons 1-3, 5-8 DPPSCalculators Playing cardsSpinnersRulersScissorsCardboardPony beadsStringMasking tapeBase-ten piecesPenniesDigit cardsDot paper

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DPP EEURG pp 52,53, 103-104, 126-128, 166-167Open-ended Questions with Scoring RubricsAssessment LabsSelf-AssessmentQuizzes & Tests

Billion; digit; expanded form; million; period; place; place value chart; rounding; standard form; value; word form; divisor; fact families; factors; product; quotient; turn-around facts; all-partials method; commutative property; compact multiplication method; partial product; convenient numbers; estimate; googol; googolplex; infinite

Trailblazers Pacing Guide Marking Period 1 (September, October, November)* Represent fractions less than or greater than 1 using manipulatives and symbols* Write number sentences using: fractions, improper fractions and mixed numbers* Explore equivalent fractions* Compare and order fractions* Develop the concept of ratios using words, tables, graphs and fractions* Use varied strategies to solve multi-step word problems* Writing improper fraction mixed numbers* Writing mixed numbers as improper fractions* Using words, words, pictures, tables, graphs and fractions to express ratios* Making and using line graphs* Choosing to find an estimate or an exact answer* Drawing best-fit lines* Collecting, organizing, graphing and analyzing data* Using medians to represent sets of data* Measuring length in yards* Measuring time with a stopwatch* Defining speed as a ratio

Unit 3 (10 days)Fractions and RatiosLessons: 1-7

Math Trailblazers, Gr. 5 (URG, SG,DAB,AB) ManipulativesLessons 1-5, & 7 DPPSPattern blocksFraction pattern blocksRulersStopwatchesMetersticksChalk or tapeCalculatorsCentimeter graph paperHalf-centimeter grid paperThree trial data table

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DPP A, S, WURG pp 77-79Open-ended Questions with Scoring RubricsAssessment LabsSelf-AssessmentQuizzes & Tests

Denominator; numerator; improper fraction; mixed number; proper fraction; equivalent fractions; benchmarks; ratio; best-fit line; speed; fixed variable

Trailblazers Pacing Guide Marking Period 1 (September, October, November)* Explore methods for finding area of rectangular figures* Estimate the area of irregular figures* Solve division problems using the forgiving method* Calculate 10% of a number* Solve varied problems using ratios* Reinforce the fundamental variables of science and how they are measured* Reinforce and then assess concepts learned in the first four units* comparing the mean and the median as measures of average* Order of operations* Making and using line graphs* Computing the mean* Using means and medians to average data* Using patterns in data tables and graphs to make predictions* identifying the manipulated, responding and fixed variables in an experiment* Reviewing five fundamental variables of science and how they are measured* Understanding the role of standard units in scientific measurement

Unit 4 (13 days) Division and DataLessons: 1-9

Math Trailblazers, Gr. 5 (URG, SG,DAB,AB) ManipulativesLessons 1-5, & 7 DPPSRulers ScissorsGlueCalculatorsBase-ten piecesConnecting cubes or square-inch tilesEyedroppersSmall containers of waterPattern blocksCentimeter grid paperTwo-column data tableThree-trial data table

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DPP A, Y, CCURG pp 58, 118-123Open-ended Questions with Scoring RubricsAssessment LabsSelf-AssessmentQuizzes & Tests

Area; length; square centimeter; width; dividend; divisor; quotient; remainder; forgiving division method; ten percent; average; mean; numerical expression; best-fit line; fixed variables; manipulated variable; responding variable; graduated cylinder; standard unit; variable;