2003 MATHEMATICS NCSCOS Grade 4 Indicators

1. 2003 MATHEMATICS NCSCOSGrade 4 Indicators Math Vocabulary by Goal

2. The learner will read, write, model, and compute with non-negative rational numbers. Goal 1

3. A real number that can be written as a positive or (negative) whole number, fraction, or decimal. Rational Number

4. 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

5. 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

6. Blocks which show base 10 number values. Base Ten Blocks http://www.arcytech.org/java/b10blocks/b10blocks.html

7. Blocks which show base 10 number values. Hundred Board http://www.amblesideprimary.com/ambleweb/mentalmaths/interactivenumbergrids.html

8. 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

9. 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

10. 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

11. 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

12. 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

13. 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

14. A set of objects or numbers arranged in rows and columns. array http://www.beaconlearningcenter.com/WebLessons/GroupsOfDogs/default.htm

15. Sharing or Grouping a number into equal parts. quotient Divide http://www.amblesideprimary.com/ambleweb/mentalmaths/dividermachine.html

16. Division Vocabulary Dividend Divisor Quotient The Number being divided A number that will divide the dividend The result of a division

17. Divisibility Rules

18. 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

19. .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

20. 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/

21. 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

22. 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

23. A fraction written as a decimal Decimal Fraction http://www.amblesideprimary.com/ambleweb/mentalmaths/fracto.html

24. .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

25. 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

26. Problem Solving Strategies http://www.mathstories.com/strategies.htm

27. Problem Solving Method Look BackJustify, prove, evaluate or explain the reasonableness of your answer.

28. Using a table/chart X X X http://www.studyzone.org/testprep/math4/k/chartprobl.cfm http://www.mathstories.com/strategies_makeatable.htm

29. 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

30. 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

31. 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 \

32. 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

33. Using a calculator Calculator Riddles From DPI http://community.learnnc.org/dpi/math/archives/2005/06/problem_solving.php

34. Using objects, models, representations http://nlvm.usu.edu/en/nav/frames_asid_273_g_2_t_4.html

35. 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

36. The learner will understand and use perimeter and area. Goal 2

37. 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

38. A three sided polygon. Triangle http://www.factmonster.com/ipka/A0876325.html

39. A polygon for which all sides are congruent and all angles are congruent. Regular Polygon

40. Any four sided figure. Quadrilateral http://regentsprep.org/Regents/math/quad/LQuad.htm

41. Four sided figure, all sides equal, opposite sides parallel, and all right angles. Square http://www.mathleague.com/help/geometry/polygons.htm#righttriangle

42. Four sided figure; opposite sides equal lengths and parallel; all right angles Rectangle

43. 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

44. A ten sided polygon Decagon

45. A B A line with two endpoints Line Segment

46. A line with one endpoint Ray http://www.mathleague.com/help/geometry/basicterms.htm#rays

47. The point at which two rays meet. This triangle contains 3 vertices. Vertex

48. Two rays that meet at a vertex Angle http://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm

49. Linear Measurements Length The measurement of the longest side of a figure.

50. Linear Measurements Width The measurement of the shortest side of a figure.