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MATHEMATICS NCSCOS Grade 4 Indicators

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## MATHEMATICS NCSCOS Grade 4 Indicators

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**MATHEMATICS NCSCOSGrade 4 Indicators**Math Vocabulary by Goal**The learner will read, write, model, and compute with**non-negative rational numbers. Goal 1**A real number that can be written as a positive or**(negative) whole number, fraction, or decimal. Rational Number**Expandednotation form**Picture Form 300+20+6 Forms of Numbers 1,111 326 Three hundred twenty-six Written Form Standard form http://www.aaamath.com/plc31d-placevalue-add.html**ten - thousands**ones hundreds hundredths thousands tens tenths The position of a single digit in a whole number or decimal number containing one or more digits. 45,305.79 Place Value http://mrsbogucki.com/aemes/resource/apps/placeval/placeval.htm**Blocks which show base 10 number values.**Base Ten Blocks http://www.arcytech.org/java/b10blocks/b10blocks.html**Blocks which show base 10 number values.**Hundred Board http://www.amblesideprimary.com/ambleweb/mentalmaths/interactivenumbergrids.html**Putting numbers together to make them easier to work with**1 + 4 + 3 +7 + 6 + 8 + 9 + 2 = ? 10 + 10 + 10 + 10 = 40 Compose http://www.studyzone.org/testprep/math4/d/commutativep.cfm**Breaking a number apart to make it easier to work with.**30 X 14 (30 X 10) + (30 X 4) 300 + 120 = 420 Decompose http://www.studyzone.org/testprep/math4/d/commutativep.cfm**An answer close to the exact answer--often found by rounding**to the nearest 10 or 100. 366 370 400 Approximately/About http://www.myschoolhouse.com/courses/O/1/16.asp**product**factors A mathematical operation where a number is added to itself a number of times http://www.arcytech.org/java/b10blocks/b10blocks.html Repeated Addition Multiply http://www.harcourtschool.com/activity/mult/mult.html**Numbers that divide exactly into another number.**12 – 1,2,3,4,6,12 36 – 1,2,3,4,6,9,12,18,36 48 – 1,2,3,4,6,8,12,16,24,48 Factors http://illuminations.nctm.org/tools/tool_detail.aspx?id=12**Number that results from multiplying a given number by a set**of whole numbers. 4 – 4, 8, 12, 16, 20, 24, 28, 32, 36, 40 6 – 6, 12, 18, 24, 36, 42, 48, 54 8 – 8,16, 24, 32, 40, 48, 56 Multiples http://www.bbc.co.uk/education/mathsfile/shockwave/games/gridgame.html**A set of objects or numbers arranged in rows and columns.**array http://www.beaconlearningcenter.com/WebLessons/GroupsOfDogs/default.htm**Sharing or Grouping a number into equal parts.**quotient Divide http://www.amblesideprimary.com/ambleweb/mentalmaths/dividermachine.html**Division Vocabulary**Dividend Divisor Quotient The Number being divided A number that will divide the dividend The result of a division**Amount left over after dividing a number**Fair shares ** Dividing is Sharing Equally!** Remainder http://nlvm.usu.edu/en/nav/frames_asid_193_g_2_t_1.html**.5 = .50**.30 = .300 ? < .5 ? =.1,.2,.3,.4,or .5 .5 =.05 .3 = .003 equal to less than or equal to not equal to Symbols used to determine relationships of equalities. Equal to/not equal to http://www.studyzone.org/testprep/math4/k/greaterlessthanl.cfm**3 -Numerator**7 -Denominator Equal parts of a whole or group written with a numerator and a denominator. Fraction http://math.rice.edu/~lanius/fractions/**3**4 Numerator: number of each part Denominator: number of parts 1 2 fraction 2 Whole number Fractions 7 3 Improper fraction mixed number http://www.visualfractions.com/MixtoFrCircle.html**1/2 = 3/6**Fractions that are the same or equal Equal Portions Equivalent Fractions http://www.learningplanet.com/sam/ff/index.asp http://www.shodor.org/interactivate/activities/fracsorter/index.html**A fraction written as a decimal**Decimal Fraction http://www.amblesideprimary.com/ambleweb/mentalmaths/fracto.html**.1**.01 Numbers written in standard form to show a value less than 1. one-tenth one-hundredth Decimal http://www.321know.com/cmp42bx2.htm**A line on which numbers, decimals and fractions can be**comparedand ordered. .8 2.25 .08 .08 < .8 .08 is less than .8 2.25 > .8 2.25 is greater than .8 Number Line http://www.shodor.org/interactivate/activities/fracsorter/index.html**Problem Solving Strategies**http://www.mathstories.com/strategies.htm**Problem Solving Method**Look BackJustify, prove, evaluate or explain the reasonableness of your answer.**Using a table/chart**X X X http://www.studyzone.org/testprep/math4/k/chartprobl.cfm http://www.mathstories.com/strategies_makeatable.htm**Guess and Check**Prince Carl divided 15 stone games into two piles: games he owns and games his brother owns. He owns 3 more games than his brother. How many games does his brother own? Answer: Prince Carl – 9 Brother - 6 http://www.mathstories.com/strategies_guesscheck.htm**Question: Laura has 3 green chips,**4 blue chips and 1 red chip in her bag. What fractional part of the bag of chips is green? Make a diagram/ picture http://www.mathstories.com/strategies_drawpicture.htm**Make an organized list**Question: Jill, Makayla and Tanya don’t want to ride the Ferris-wheel alone. How many ways can they ride if the ride will only fit two at a time? Jill/Makayla Jill/Tanya Makayla/Tanya 3 ways Organized list Answer http://www.mathstories.com/strategies_makealist.htm \**Work Backwards**The castle kitchen servants brought in 4 pies left over from the feast. Twelve pies were eaten at the feast. Queen Mab took 2 home with her. How many pies did the servants bring into the feast at the beginning? 2 12 4 = 2 + 12 + 4 = 18 http://www.mathstories.com/strategies_working_backward.htm**Using a calculator**Calculator Riddles From DPI Grades 4-6 Calculator Riddles (NCDPI)**Using objects, models, representations**http://nlvm.usu.edu/en/nav/frames_asid_273_g_2_t_4.html**Information in a problem that does NOT help you solve the**problem. The peasants had to dig a trench 3 feet side to side and 10 times as long. It took them 4 days to dig it. There were 7 of them digging. How long was the trench? Extra Information**The learner will understand and use perimeter and area.**Goal 2**A peg-board on which elastic bands are used to make shapes**and patterns. Geo Board http://nlvm.usu.edu/en/nav/frames_asid_172_g_2_t_3.html**A three sided polygon.**Triangle http://www.factmonster.com/ipka/A0876325.html**A polygon for which all sides are congruent and all angles**are congruent. Regular Polygon**Any four sided figure.**Quadrilateral http://regentsprep.org/Regents/math/quad/LQuad.htm**Four sided figure, all sides equal, opposite sides parallel,**and all right angles. Square http://www.mathleague.com/help/geometry/polygons.htm#righttriangle**Four sided figure; opposite sides equal lengths and**parallel; all right angles Rectangle**Four sided figure. Opposite sides equal lengths and parallel**An six sided figure Four sided figure. Top and bottom sides parallel Parallelogram Hexagon Trapezoid Four sided figure. opposite sides equal lengths and parallel, opposite angles equal An eight sided figure An five sided figure Octagon Rhombus Pentagon http://ejad.best.vwh.net/java/patterns/patterns_j.shtml http://www.aplusmath.com/cgi-bin/games/geopicture**A ten sided polygon**Decagon**A**B A line with two endpoints Line Segment**A line with one endpoint**Ray http://www.mathleague.com/help/geometry/basicterms.htm#rays**The point at which two rays meet.**This triangle contains 3 vertices. Vertex**Two rays that meet at a vertex**Angle http://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm**Linear Measurements**Length The measurement of the longest side of a figure.**Linear Measurements**Width The measurement of the shortest side of a figure.