2003 MATHEMATICS NCSCOS Grade 5 Indicators

1. 2003 MATHEMATICS NCSCOSGrade 5 Indicators Math Vocabulary by Goal

2. Goal 1 The learner will understand and compute with nonnegative rational numbers.

3. A real number that can be written as the ratio of two integers (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 Word Form Standard form http://www.aaamath.com/plc31d-placevalue-add.html

5. ten- thousands ones hundreds hundredths Hundred- thousands thousands tens tenths thousandths The position of a single digit in a whole number or decimal number containing one or more digits. 145,305.791 Place Value http://mrsbogucki.com/aemes/resource/apps/placeval/placeval.htm

6. Arranged from smallest to largest Ascending Order http://www.studyzone.org/testprep/math4/e/decorderl.cfm

7. Arranged from largest to smallest Descending Order

8. An answer close to the exact answer. Usually found by rounding. 366 370 400 Approximately/About http://www.myschoolhouse.com/courses/O/1/16.asp

9. 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

10. 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

11. Having the same amount or value; the state of being equal. Equivalence http://nlvm.usu.edu/en/nav/frames_asid_105_g_2_t_1.html

12. 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

13. .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

14. 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/

15. 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

16. 1/2 = 3/6 Fractions that are the same or equal Equivalent Fractions http://www.learningplanet.com/sam/ff/index.asp http://www.shodor.org/interactivate/activities/fracsorter/index.html

17. .1 .01 .001 Numbers written in standard form to show a value less than 1. one-tenth one-hundredth one-thousandth Decimal http://www.321know.com/cmp42bx2.htm

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

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

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

21. 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

22. 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

23. 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 \

24. Work Backwards The castle kitchen waiters 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 waiters bring into the feast at the beginning? 2 12 4 = 2 + 12 + 4 = 18 http://www.mathstories.com/strategies_working_backward.htm

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

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

27. 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

28. 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

29. 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

30. Mathematical sentence where the left side of the equals sign has the same value as the right side. Equation http://www.aplusmath.com/Games/PlanetBlast/index.html

31. Goal 2 The learner will recognize and use standard units of metric and customary measurement.

32. 1000 ml = 1 L 1 L 1 ml Units of capacity in the metric system. liter http://www.metricamerica.com/litre.htm

33. G Q Q PP 2 c = 1 pt 2 pt = 1 qt 4 qt = 1 gal PP cc cc cc cc Q Q PP cc cc PP cc cc Units of capacity in the customary system. cup, pint, quart, gallon http://www.edhelper.com/math/capacity_fg1943.htm

34. Benchmark/landmark http://www.mathcats.com/explore/convert.html

35. 100cm = 1m 1000 m = 1 km Units of length, width and distance in the metric system. centimeter, meter, kilometer http://www.metricamerica.com/centimetre.htm

36. 12in = 1 ft 3 ft = 1 yd 5280 ft = 1 mi Units of length, width and distance in the customary system. Inches, Feet, Yards, Miles http://www.funbrain.com/measure/

37. Benchmark/landmark http://www.aaamath.com/B/mea69_x2.htm

38. 1000g = 1kg Units of weight (or mass) in the metric system. gram and kilogram http://www.studyzone.org/testprep/math4/d/metgraml.cfm

39. 16 oz = 1lb 2000 lbs = 1 ton Units of weight (or mass) in the customary system. ounce, pound, and ton http://www.edhelper.com/math/length_weight_fg2255.htm

40. Benchmark/landmark

41. Tool used to measure angles Protractor http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html http://www.enchantedlearning.com/math/label/protractor/

42. Two segments that meet to form a 90 degree angle. Right Angle http://www.icteachers.co.uk/children/sats/triangles.htm http://www.mathsnet.net/shape/category1.html

43. 1100 350 350 An angle with a measure of more than 90 degrees, but less than 180 degrees. Obtuse Angle http://www.manatee.k12.fl.us/sites/elementary/palmasola/mathlabtutan1b.htm http://www.toonuniversity.com/6m_angle_d.html

44. 600 600 600 An angle less than 90 degrees Acute Angle http://www.mathsnet.net/shape/category2.html

45. 130 50 Two angles that share a common side Adjacent Angles http://www.mathwords.com/a/adjacent_angles.htm

46. Symbol used to identify an angle A = ABC C B Angle Notation

47. 130 50 Two adjacent angles whose sum is 180 degrees Supplementary Angles http://www.mathsisfun.com/geometry/supplementary-angles.html http://www.mathopenref.com/anglesupplementary.html

48. 45 45 Two adjacent angles whose sum is 90 degrees Complementary Angles http://www.mathwarehouse.com/geometry/angle/complementary-angles.php http://www.mathopenref.com/anglecomplementary.html

49. 45 45 Angles that have the same measure. Congruent Angles http://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm

50. Goal 3 The learner will understand and use properties and relationships of plane figures.