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## From 06-07 DPI 3rd grade indicators

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**From 06-07 DPI 3rd grade indicators**Math Vocabulary**Expandednotation form**Picture Form 300+20+6 Forms of Numbers 326 Three hundred twenty-six Word Form Standard form http://www.aaamath.com/plc31d-placevalue-add.html**ones**hundreds thousands tens The position of a single digit in a whole number or decimal number containing one or more digits. 5,305 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**A diagram using circles or other shapes to show the**relationship between sets Guess the rule for this Venn Diagram Venn Diagram http://www.shodor.org/interactivate/activities/venndia/index.html**17 + 34 = 51**Addends Sum Putting numbers together. Add http://www.studyzone.org/testprep/math4/d/commutativep.cfm**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**To Take numbers apart**95 – 36 = 59 Difference Subtract http://www.oswego.org/ocsd-web/games/Mathmagician/maths1.htm http://www.aplusmath.com/Games/PlanetBlasterBasics/index.html**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**Sharing or Grouping a number into equal parts.**Repeated Subtraction- 20-2-2-2-2-2-2-2-2-2-2=0 quotient Divide http://www.amblesideprimary.com/ambleweb/mentalmaths/dividermachine.html**Guess how many gumballs are in the jar!**The use of rounding and/or other strategies to make an educated guess or reasonably accurate approximation. Estimate http://www.shodor.org/interactivate/activities/estim3/index.html http://www.janbrett.com/piggybacks/rounding.htm**An answer close to the exact answer. Usually found by**rounding to the nearest 10 or 100. 366 370 400 Approximately/About http://www.myschoolhouse.com/courses/O/1/16.asp**Symbol used to compare relationships of inequalities.**Symbol used to compare numbers Symbol used to compare numbers Less Than/Greater Than http://www.studyzone.org/testprep/math4/k/greaterlessthanl.cfm**5 = 5**30 = 13 + 17 ? < 5 ? = 1,2,3,4,5 • = 5 • 17 = 3 +12 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**Combining Numbers of multiple groups**Groups or sets 4 X 2 = 8 2 + 2 + 2 + 2 ** Multiplying is repeated addition** Multiply http://nlvm.usu.edu/en/nav/frames_asid_193_g_2_t_1.html**A set of objects or numbers arranged in rows and columns.**array http://www.beaconlearningcenter.com/WebLessons/GroupsOfDogs/default.htm**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.tki.org.nz/r/wick_ed/maths/interactives_matrix.php http://www.bbc.co.uk/education/mathsfile/shockwave/games/gridgame.html**An ordered set of numbers, shapes, or other mathematical**objects, arranged according to a rule. Pattern http://www.studyzone.org/testprep/math4/k/patternsl.cfm http://www.studyzone.org/testprep/math4/k/patternsp.cfm**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**Left over Fair shares ** Dividing is Sharing Equally!** Remainder http://nlvm.usu.edu/en/nav/frames_asid_193_g_2_t_1.html**Equal parts of a whole or group written with a numerator and**a denominator. Un-shaded region/area Shaded region/area 3 -Numerator 7 -Denominator Fraction http://www.kidsolr.com/math/fractions.html http://math.rice.edu/~lanius/fractions/**3**4 Numerator: number of each part Denominator: number of parts 1 2 fraction 2 Whole number Proper fraction Fractions 7 3 Improper fraction mixed number http://www.visualfractions.com/MixtoFrCircle.html**Having the same amount or value; the state of being equal.**Equivalent http://nlvm.usu.edu/en/nav/frames_asid_105_g_2_t_1.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://euclid.barry.edu/~marinas/mat476/journal/sim319df.html**A line on which numbers, and fractions can be comparedand**ordered. ½ 3¼ 1¾ ½ < 1¾ ½ is less than 1¾ 3¾ > 1¾ 3¾ is greater than 1¾ Number Line http://matti.usu.edu/nlvm/nav/frames_asid_156_g_1_t_1.html?open=activities http://www.shodor.org/interactivate/activities/fracsorter/index.html**The order in which operations should be done.**Order of Operations http://www.mathgoodies.com/lessons/vol7/order_operations.html http://www.scweb4free.com/oper.html**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 Farris-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. 12 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**http://edschool.csuhayward.edu/departments/ted/instruction/howe/5350/1-calculatorRiddles.html**Using Objects, models, representations**http://nlvm.usu.edu/en/nav/frames_asid_273_g_2_t_4.html**Use of standard units to find out size or quantity in regard**to length, weight, capacity, temperature and time. Measure**The system of measurement used in the United States**Customary System http://www.harcourtschool.com/activity/con_math/g04c24.html http://www.studyzone.org/testprep/math4/d/customaryl.cfm**The system of measurement used in most countries of the**world Metric System http://www.oswego.org/ocsd-web/match/term/matchgeneric2.asp?filename=ccarrolllength**Non-Standard Units**Standard Units Beans Candy Steps Counters Inches Grams Gallons Degrees**12in = 1 ft**3 ft = 1 yd 5280 ft = 1 mi Customary Units of Linear Measurement: Units of length, width and distance in the customary system. Inches, Feet, Yards, Miles http://www.funbrain.com/measure/ http://www.oswego.org/ocsd-web/match/matchgeneric.asp?filename=length**100cm = 1m**1000 m = 1 km Metric Units of Linear Measurement: Ruler- tool of linear measurement Units of length, width and distance in the metric system. centimeter, meter, kilometer http://www.metricamerica.com/centimetre.htm**Tools for Linear Measurement**Yard Stick- length of one yard Trundle Wheel- measure long distances Meter Stick- Length of one meter Ruler- length of one foot Tape Measure- measure length and width http://www.studyzone.org/testprep/math4/d/measuretooll.cfm**Linear Measurements**Length How long is this figure? 4 ft The measurement of the longest side of a figure. 12 ft**Linear Measurements**Width How wide is this figure? 12 ft 4 ft The measurement of the shortest side of a figure.**Linear Measurements**Height The measurement of the tallest side of a figure.**Scale**Balance Weights Tools for Mass Measurement http://www.studyzone.org/testprep/math4/d/measuretoolp.cfm