2. 2003 MATHEMATICS NCSCOS Grade 3 Indicators

3. The learner will model, identify, and compute with whole numbers through 9,999.

4. Forms of Numbers Expanded notation form 300+20+6 Three hundred twenty-six Word Form 326 Standard form Picture Form http://www.aaamath.com/plc31d-placevalue-add.html 1,111

5. The position of a single digit in a whole number or decimal number containing one or more digits. Place Value http://mrsbogucki.com/aemes/resource/apps/placeval/placeval.htm 5,305 ones thousands hundreds tens

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

7. A diagram using circles or other shapes (i. e. rectangles) to show the relationship between sets Venn Diagram http://www.shodor.org/interactivate/activities/venndia/index.html Guess the rule for this Venn Diagram

8. Putting numbers together. Add http://www.studyzone.org/testprep/math4/d/commutativep.cfm 17 + 34 = 51 Sum Addends

9. Putting numbers together to make them easier to use 1 + 4 + 3 +7 + 6 + 8 + 9 + 2 = ? 10 + 10 + 10 + 10 = 40 Compose http://www.studyzone.org/testprep/math4/d/commutativep.cfm

10. Breaking a number apart to make it easier to use. 30 X 14 Decompose http://www.studyzone.org/testprep/math4/d/commutativep.cfm (30 X 10) + (30 X 4) 300 + 120 = 420

11. Subtract http://www.aplusmath.com/Games/PlanetBlasterBasics/index.html To take numbers apart 95 – 36 = 59 Difference

12. A mathematical operation where a number is added to itself a number of times Multiply http://www.arcytech.org/java/b10blocks/b10blocks.html factors product Repeated Addition http://www.harcourtschool.com/activity/mult/mult.html

13. Sharing or Grouping a number into equal parts Divide Repeated Subtraction: 20-2-2-2-2-2-2-2-2-2-2=0 http://www.amblesideprimary.com/ambleweb/mentalmaths/dividermachine.html quotient

14. 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

15. An answer close to the exact answer. Usually found by rounding to the nearest 10 or 100. Approximately/About 366 370 400 http://www.myschoolhouse.com/courses/O/1/16.asp

16. Less Than/Greater Than Symbol used to compare relationships of inequalities. Symbol used to compare numbers http://www.studyzone.org/testprep/math4/k/greaterlessthanl.cfm

17. Equal to/not equal to Symbols used to determine relationships of equalities. http://www.studyzone.org/testprep/math4/k/greaterlessthanl.cfm equal to 5 = 5 30 = 13 + 17 4= 5 17 = 3 +12 ? < 5 ? = 1,2,3,4,5 not equal to less than or equal to

18. Combining numbers of multiple groups Multiply Groups or sets ** Multiplying is repeated addition** http://nlvm.usu.edu/en/nav/frames_asid_193_g_2_t_1.html 4 X 2 = 8 2 + 2 + 2 + 2

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

20. Numbers that divide exactly into another number. Factors 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 http://illuminations.nctm.org/tools/tool_detail.aspx?id=12

21. Numbers that result from multiplying a given number by a set of whole numbers Multiples 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 http://www.bbc.co.uk/education/mathsfile/shockwave/games/gridgame.html

22. 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

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

24. Amount left over after dividing a number Remainder Fair shares ** Dividing is Sharing Equally!** http://nlvm.usu.edu/en/nav/frames_asid_193_g_2_t_1.html Left over

25. Equal parts of a whole or group written with a numerator and a denominator. Fraction http://math.rice.edu/~lanius/fractions/ 3 -Numerator 7 -Denominator Shaded region/area Un-shaded region/area

26. 1212 2 Whole number fraction 7373 3434 http://www.visualfractions.com/MixtoFrCircle.html Fractions Numerator: number of each part Denominator: number of parts Improper fraction mixed number Proper fraction

27. 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

28. Fractions that are the same or equal Equivalent Fractions http://www.learningplanet.com/sam/ff/index.asp 1/2 = 3/6 Equal Portions

29. A line on which numbers, and fractions can be compared and ordered. Number Line http://www.shodor.org/interactivate/activities/fracsorter/index.html ½ 1¾ 3¼ ½ < 1¾ ½ is less than 1¾ 3¾ > 1¾ 3¾ is greater than 1¾

30. Order of Operations The order in which operations should be done. http://www.mathgoodies.com/lessons/vol7/order_operations.html http://www.scweb4free.com/oper.html No exponents in Grade 3!!

31. Problem Solving Method Look Back Justify, prove, evaluate or explain the reasonableness of your answer.

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

33. Guess and Check http://www.mathstories.com/strategies_guesscheck.htm 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

34. Make a diagram/ picture 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? http://www.mathstories.com/strategies_drawpicture.htm

35. 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 http://www.mathstories.com/strategies_makealist.htm \ Organized list Answer

36. 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? http://www.mathstories.com/strategies_working_backward.htm 2 12 4= 2 + 12 + 4 =18

37. Using a calculator

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

39. The learner will recognize and use standard units of metric and customary measurement.

40. Use of standard units to find out size or quantity in regard to length, weight, capacity, temperature and time. Measure

41. 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

42. The system of measurement used in most countries of the world Metric System

43. Beans Candy Steps Counters Non- Standard Units Inches Grams Gallons Degrees Standard Units

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

45. Units of length, width and distance in the metric system. centimeter, meter, kilometer http://www.metricamerica.com/centimetre.htm 100cm = 1m 1000 m = 1 km Metric Units of Linear Measurement: Ruler- tool of linear measurement

46. Tools for Linear Measurement Yard Stick- length of one yard Trundle Wheel- measure long distances Ruler- length of one foot Meter Stick- Length of one meter Tape Measure- measure length and width http://www.studyzone.org/testprep/math4/d/measuretooll.cfm

47. The measurement of the longest side of a figure. 4 ft 12 ft How long is this figure?

48. The measurement of the shortest side of a figure. 4 ft 12 ft How wide is this figure?

49. The measurement of the tallest side of a figure.

50. Tools for Mass Measurement Scale Weights Balance http://www.studyzone.org/testprep/math4/d/measuretoolp.cfm

51. The amount of matter an object contains. Mass

52. Units of weight (or mass) in the customary system. ounce and pound 16 oz = 1lb Customary Units of Mass Measurement: http://www.321know.com/mea-add_lboz.htm

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

54. The amount of liquid or poured solid a container will hold. Capacity 1 liter http://www.studyzone.org/testprep/math4/d/capacityl.cfm

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

56. Unit of capacity in the metric system. liter http://www.metricamerica.com/litre.htm 1000 ml = 1 L 1 L 1 ml Metric Units of Capacity Measurement:

57. The measure of warmth or coldness. Temperature Customary- measured in degrees Fahrenheit Metric- measured in degrees Celsius Tool used for measuring Temperature: Thermometer- Unit of temperature measurement: Degrees

58. Increase or decrease in temperature Rising/Falling Rising Temperature- increase in temperature Falling Temperature- decrease in temperature Intervals/increments: distance between numbers on the scale of the thermometer http://www.studyzone.org/mtestprep/math8/f/thermometerl.cfm

59. Commonly known temperatures to refer to. Benchmark Temperatures Body Temperature- 98.6 degrees Room Temperature: 70° Fahrenheit http://oncampus.richmond.edu/academics/education/projects/webunits/measurement/temp2.html

60. Units of Time Seconds: Smallest unit of time Days: 24 hours Hours: 60 minutes Minute: 60 seconds Years: 365 days Months: 28-31 days Divide to convert to larger units Multiply to convert to smaller units http://www.amblesideprimary.com/ambleweb/mentalmaths/clock.html http://www.oswego.org/ocsd-web/games/BangOnTime/clockwordres.html

61. Analog Clock http://www.studyzone.org/testprep/math4/j/timep.cfm Digital Clock

62. Telling Time Quarter hour Quarter past 15 Minutes after Half past Half hour Quarter till 15 minutes until 15 minutes before http://www.studyzone.org/testprep/math4/j/time.swf 1. 2.3.

63. Elapsed Time http://www.shodor.org/interactivate/activities/clock3/index.html Measuring the amount of time that has passed Starting Time Ending Time What is the estimated elapsed time between the starting time and the ending time on the clocks? What is the exact elapsed time between the starting time and the ending time on the clocks?

64. Duration of Time Intervals of Time- MorningAfternoon http://www.studyzone.org/testprep/math4/j/timeminute.swf ??

65. The learner will recognize and use basic geometric properties of two- and three- dimensional figures.

66. Any 2-dimensional (flat) shape Plane Figures

67. A closed plane figure with three or more sides. Polygon A plane shape with many sides. A CIRCLE IS NOT ONE OF THESE http://www.aaamath.com/B/geo318x4.htm These are FLAT shapes:

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

69. A polygon for which all sides and all angles are not congruent. Irregular Polygon

70. Shapes that are the same shape and the same size Congruent Shapes http://www.beaconlearningcenter.com/WebLessons/CongruentConcentration/default.htm

71. When a straight line is drawn through a shape so that the two halves are congruent. Symmetry http://library.thinkquest.org/J002441F/symmetry.htm Line of symmetry

72. Two perpendicular lines which form a 90 degree angle. Right Angle http://www.mathsnet.net/shape/category1.html

73. An angle with a measure of more than 90 degrees, but less than 180 degrees. Obtuse Angle 110 o 35 o

74. A three sided polygon. Triangle http://www.factmonster.com/ipka/A0876325.html http://www.mathsnet.net/shape/category2.html This shape has 3 sides.

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

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

77. Four sided figure, opposite sides equal lengths and parallel, all right angles Rectangle

78. Four sided figure; opposite sides equal lengths and parallel Parallelogram http://ejad.best.vwh.net/java/patterns/patterns_j.shtml http://www.aplusmath.com/cgi-bin/games/geopicture Four sided figure; opposite sides equal lengths and parallel; opposite angles equal Rhombus A six sided figure Hexagon An eight sided figure Octagon Four sided figure; top and bottom sides parallel Trapezoid A five sided figure Pentagon

79. A ten sided polygon Decagon

80. A line with two endpoints Line Segment AB end points

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

82. The point at which two rays meet. Vertex This shape has 3 vertices.

83. Two lines that will never touch or intersect because they are the same distance apart. Parallel Lines http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php

84. Any 3-dimensional shapes that take up space Solid Figures These are 3-D shapes! http://www.factmonster.com/math/knowledgebox/player.html?movie=sfw50631 These are also called polyhedrons.

85. One of the plane polygon shapes on a solid shape. Face http://illuminations.nctm.org/tools/tool_detail.aspx?id=70 http://illuminations.nctm.org/Lessons/imath/GeoSolids/GeoSolids-AS1.pdf

86. Where two faces meet on a solid shape. Edge http://illuminations.nctm.org/tools/tool_detail.aspx?id=70 http://illuminations.nctm.org/Lessons/imath/GeoSolids/GeoSolids-AS1.pdf

87. Where two edges meet on a solid shape. Corner http://illuminations.nctm.org/tools/tool_detail.aspx?id=70 http://illuminations.nctm.org/Lessons/imath/GeoSolids/GeoSolids-AS1.pdf

88. The flat circle shaped bottom of cylinders and cones Base http://illuminations.nctm.org/tools/tool_detail.aspx?id=70 http://illuminations.nctm.org/Lessons/imath/GeoSolids/GeoSolids-AS1.pdf

89. Solid Figures Prism Sphere Cylinder Cone Pyramid Cube Have faces, edges, and corners Have 2, 1, or zero circle bases http://www.harcourtschool.com/activity/solid_figures/

90. Solid Figures Pentagonal Hexagonal Decagonal Octagonal Have faces, edges, and corners

91. A pair of numbers that gives the coordinates of a point on a grid Ordered Pair http://www.oswego.org/ocsd-web/games/BillyBug/bugcoord.html 0 1 2 3 4 3 2 13 2 1 (1, 2) Ordered pairs are found on a coordinate grid point “ x “ and “ y ” http://www.studyzone.org/testprep/math4/d/orderpairp.cfm x axis y axis

92. A description of a line that forms between two points on a line. Path http://www.shodor.org/interactivate/activities/pcoords/index.htm l 0 1 2 3 4 3 2 13 2 1 Describe a path (along grid lines) between (1, 1) and (2, 2) Diagonal up Describe a path (along grid lines) between (1, 1) and (4, 1) Horizontal Right Horizontal East

93. The learner will understand and use data and simple probability concepts.

94. A graph that compares parts to the whole; decimals and fractions may be used on this graph Circle Graph http://www.mcwdn.org/Graphs/CirclePieQuiz.html key title labels

95. Used for collecting data Table http://www.studyzone.org/testprep/math4/d/collectdata4l.cfm

96. A graph that uses pictures to represent data. Pictograph Key http://www.studyzone.org/testprep/math4/d/graphdatal.cfm

97. A horizontal number line on which each value of a set is denoted by an “x” over a value. Line Plot The number of x’s indicates how many times each score occurred. http://www.studyzone.org/testprep/math4/d/rangel.cfm l

98. The number of times an event occurs; may use tally marks to record Frequency IIII IIII IIII tallies http://www.studyzone.org/testprep/math4/d/tablestallyl.cfm

99. A method of collecting a sample of data by asking people questions. Survey http://www.studyzone.org/testprep/math4/d/randomsamp.cfm

100. A diagram using circles or other shapes (i.e. rectangles) to show the relationship(s) between sets Venn Diagram http://www.shodor.org/interactivate/activities/venndia/index.html Guess the rule for this Venn Diagram

101. Strategy for solving problems for determining outcomes: http://www.mathagonyaunt.co.uk/STATISTICS/ESP/Perms_combs.html Steps: 1. Determine whether or not order matters. 2.Make an organized list of all possible outcomes. 3. Use this sample set of possible outcomes to determine your answer. Using the digits 3, 4 and 5, what are all the possible three digit numbers you could create? 345, 354 435, 453 534, 543 Answer- 6 Order matters in this problem. Different orders make different numbers.

102. An event that occurs or happens. Outcome What color did the spinner land on? Was this one of the favorable choices? Were there equal chances for both colors? http://www.studyzone.org/testprep/math4/d/outcomel.cfm

103. An outcome that will probably occur or happen. Likely http://www.studyzone.org/testprep/math4/d/likelyl.cfm What are the chances of the arrow landing on white? When spinning the spinner 10 times, where is the arrow likely to land most often? Less often? Is your answer certain or uncertain?

104. An event that you think will occur or happen. Prediction What color do you think the arrow will land on? Which color is less likely? http://www.shodor.org/interactivate/activities/spinner/index.html Which color is more likely?

105. An outcome that will never occur or happen. Impossible http://www.mathgoodies.com/lessons/vol6/intro_probability.html What are the chances of the arrow landing on blue?

106. An outcome that will always occur or happen. Certain http://www.bbc.co.uk/education/mathsfile/shockwave/games/fish.html What are the chances of the arrow landing on orange?

107. The learner will recognize, determine, and represent patterns and simple mathematical relationships.

108. http://www.studyzone.org/testprep/math4/i/dpatternsl.cfm The first three numbers of a pattern which show the pattern’s rule Pattern Core/Unit 50,75,45,70 Rule: +25, -30, 18 th number: 35 18th

109. Mathematical sentence written in numerals and mathematical symbols. Number Sentence http://www.studyzone.org/testprep/math4/d/numericalp.cfm

110. A letter or symbol that represents an unknown in an algebraic expression. Variable http://www.aplusmath.com/Games/PlanetBlast/index.html Each side of the = symbol must balance

111. A mathematical sentence where the left side equals the right side. Equation http://www.shodor.org/interactivate/activities/NumberCruncher/

112. Unknown The variable represents the number you are solving to find, termed as the… “X” or some other symbol is used to represent the unknown http://nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2.html

113. Resources Web resources are listed at the bottom of each slide. Additional resources: –NCDPI Math Glossary http://community.learnnc.org/dpi/math/archives/Glo ssarySP.pdfhttp://community.learnnc.org/dpi/math/archives/Glo ssarySP.pdf –Houghton Mifflin Math http://www.eduplace.com/kids/hmm/g_3.html http://www.eduplace.com/kids/hmm/g_3.html