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CCS 2007 From 06-07 DPI 5 th grade indicators. CCS 2007 A real number that can be written as a positive or negative whole number, fraction, or decimal,

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Presentation on theme: "CCS 2007 From 06-07 DPI 5 th grade indicators. CCS 2007 A real number that can be written as a positive or negative whole number, fraction, or decimal,"— Presentation transcript:

1 CCS 2007 From 06-07 DPI 5 th grade indicators

2 CCS 2007 A real number that can be written as a positive or negative whole number, fraction, or decimal, Rational Number

3 CCS 2007 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

4 CCS 2007 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 145,305.791 Hundred- thousands ten- thousands ones thousands hundreds tenstenths hundredths thousandths

5 CCS 2007 Arranged from smallest to largest Ascending Order http://www.studyzone.org/testprep/math4/e/decorderl.cfm

6 CCS 2007 Arranged from largest to smallest Descending Order

7 CCS 2007 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

8 CCS 2007 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

9 CCS 2007 Number that results 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.tki.org.nz/r/wick_ed/maths/interactives_matrix.php http://www.bbc.co.uk/education/mathsfile/shockwave/games/gridgame.html

10 CCS 2007 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

11 CCS 2007 Equal to/not equal to Symbols used to determine relationships of equalities. http://www.studyzone.org/testprep/math4/k/greaterlessthanl.cfm equal to.5 =.50.30 =.300.5 =.05.3 =.003 ? <.5 ? =.1,.2,.3,.4,or.5 not equal to less than or equal to

12 CCS 2007 Equal parts of a whole or group written with a numerator and a denominator. Fraction http://www.kidsolr.com/math/fractions.html http://math.rice.edu/~lanius/fractions/ 3 -Numerator 7 -Denominator

13 CCS 2007 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

14 CCS 2007 Fractions that are the same or equal Equivalent Fractions http://www.learningplanet.com/sam/ff/index.asp http://euclid.barry.edu/~marinas/mat476/journal/sim319df.html http://www.shodor.org/interactivate/activities/fracsorter/index.ht ml 1/2 = 3/6

15 CCS 2007 Numbers written in standard form to show a value less than 1. Decimal http://www.321know.com/cmp42bx2.htm.1.01.001 one-tenth one-hundredth one-thousandth

16 CCS 2007 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

17 CCS 2007 Units of capacity in the metric system. milliliter, liter http://www.metricamerica.com/litre.htm http://www.metricamerica.com/millilitre.htm 1000 ml = 1 L 1 L 1 ml

18 CCS 2007 G Q Q Q Q PP cc 2 c = 1 p 2 p = 1 q 4 q = 1 gal cc http://www.edhelper.com/math/capacity_fg1943.htm Units of capacity in the customary system. cup, pint, quart, gallon

19 CCS 2007 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

20 CCS 2007 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

21 CCS 2007 Units of weight (or mass) in the metric system. gram and kilogram 1000g = 1kg http://www.studyzone.org/testprep/math4/d/metgraml.cfm

22 CCS 2007 Units of weight (or mass) in the customary system. ounce, pound, and ton http://www.edhelper.com/math/length_weight_fg2255.htm 16 oz = 1lb 2000 lbs = 1 ton

23 CCS 2007 Tool used to measure angles Protractor http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html http://www.enchantedlearning.com/math/label/protractor/

24 CCS 2007 Two perpendicular lines which form a 90 degree angle. Right Angle http://www.icteachers.co.uk/children/sats/triangles.htm http://www.mathsnet.net/shape/category1.html

25 CCS 2007 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 110 35

26 CCS 2007 An angle less than 90 degrees Acute Angle 60 http://www.mathsnet.net/shape/category2.html

27 CCS 2007 Two angles that share a common side Adjacent Angles 130 50 http://www.mathwords.com/a/adjacent_angles.htm

28 CCS 2007 Angle Notation ABC = A B C Symbol used to identify an angle

29 CCS 2007 Two adjacent angles that total 180 degrees Supplementary Angles 130 50 http://www.mathsisfun.com/geometry/supplementary-angles.html http://www.mathopenref.com/anglesupplementary.html

30 CCS 2007 Two adjacent angles that total 90 degrees Complementary Angles http://www.mathwarehouse.com/geometry/angle/complementary-angles.php http://www.mathopenref.com/anglecomplementary.html 45

31 CCS 2007 Angles that have the same measure. Congruent Angles http://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm 45

32 CCS 2007 When sides of a shape are equal in length Congruent Sides These markings indicate congruent sides

33 CCS 2007 All three sides of this triangle are congruent. Equilateral Triangle http://www.factmonster.com/ipka/A0876325.html http://www.amblesideprimary.com/ambleweb/sketchpad/equilateral.htm http://library.thinkquest.org/20991/textonly/quizzes/geo/q4/p1.html 4 in

34 CCS 2007 This triangle has two congruent sides. Isosceles Triangle http://www.homeschoolmath.net/gy/equilateral_isosceles.php http://www.amblesideprimary.com/ambleweb/sketchpad/isosco.htm 4 in 3 in 4 in

35 CCS 2007 This triangle has no congruent sides Scalene Triangle http://www.amblesideprimary.com/ambleweb/sketchpad/scalene.htm http://www.mathsisfun.com/triangle.html 5 in 4 in 3 in

36 CCS 2007 A polygon for which all sides are congruent and all angles are congruent. Regular Polygon http://mathworld.wolfram.com/RegularPolygon.html http://www.ul.ie/~cahird/polyhedronmode/regular.htm

37 CCS 2007 A polygon for which all sides and all angles are not congruent. Irregular Polygon http://www.ul.ie/~cahird/polyhedronmode/irregula.htm

38 CCS 2007 Any four sided figure. Quadrilateral http://regentsprep.org/Regents/math/quad/LQuad.htm

39 CCS 2007 A line with two endpoints Line Segment http://www.pinkmonkey.com/studyguides/subjects/geometry/chap1/g0101201.asp AB Midpoint

40 CCS 2007 A line with one endpoint Ray http://www.mathleague.com/help/geometry/basicterms.htm#rays

41 CCS 2007 The Point at which two rays meet. Vertex http://mathworld.wolfram.com/VertexAngle.html

42 CCS 2007 Two rays that meet at a vertex Angle http://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm

43 CCS 2007 Sides or angles immediately next to each other. Adjacent http://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm

44 CCS 2007 To divide into two equal sections; to cut in half. Bisect

45 CCS 2007 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

46 CCS 2007 Lines that intersect at right angles to each other. Perpendicular Lines http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php

47 CCS 2007 A line joining two non-adjacent vertices of a polygon. Diagonal http://www.math.fau.edu/Richman/Liberal/polydiag.htm

48 CCS 2007 Four sided figure, all sides equal, opposite sides parallel, all right angles Square http://www.mathleague.com/help/geometry/polygons.htm#righttriangle Sum of interior angles- 360º 2 intersecting, bisecting, perpendicular diagonals

49 CCS 2007 Four sided figure. opposite sides equal lengths and parallel, all right angles Rectangle

50 CCS 2007 Four sided figure. opposite sides equal lengths and parallel, all right angles Rectangle http://encyclopedia.laborlawtalk.com/Rectangle http://www.standards.dfes.gov.uk/primary/publications/mathematics/12874/nns_useict026000carroll.swf Sum of interior angles- 360º 2 intersecting diagonals.

51 CCS 2007 A four-sided figure in which the two pairs of adjacent sides have the same length. Kite Sum of interior angles- 360º 2 intersecting, perpendicular diagonals

52 CCS 2007 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 An six sided figure Hexagon An eight sided figure Octagon Four sided figure. Top and bottom sides parallel Trapezoid An five sided figure Pentagon

53 CCS 2007 Parallelogram Rhombus 9 diagonals/ sum of interior angles- 720º Hexagon 20 diagonals/ sum of interior angles- 1080º Octagon 2 intersecting diagonals/ sum of interior angles 360º Trapezoid 5 diagonals/ Sum of interior angles - 540º Pentagon 2 intersecting diagonals/ sum of interior angles 360º 2 intersecting perpendicular diagonals/ sum of interior angles 360º

54 CCS 2007 Number of diagonals in a polygon: #of sides 45678 # of diagonals 2591420 +3 +4 +5 +6 Sum of interior angles in a polygon: #of sides 345678 Sum of int. angles 180º360º540º720º900º1080º +180 +180 +180 +180 +180

55 CCS 2007 two types of trapezoids Right Trapezoid Two right angles Isosceles Trapezoid No right angles Two congruent sides

56 CCS 2007 A ten sided polygon Decagon http://www.ul.ie/~cahird/polyhedronmode/decagon.htm

57 CCS 2007 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

58 CCS 2007 When an outline of a turning figure matches its original shape. Rotational Symmetry http://www.adrianbruce.com/Symmetry/10.htm http://www.learner.org/channel/courses/learningmath/geometry/session7/part_b/index.html

59 CCS 2007 To turn an object, usually 90 degrees or 180 degrees, 0r 270 degrees. Point of rotation Half turn- 180 degrees Quarter turn- 90 degrees http://regentsprep.org/Regents/Math/rotate/PracRot.htm http://www.studyzone.org/mtestprep/math8/f/symturns5p.cfm Rotations 3 Quarter turn-270 degrees

60 CCS 2007 Counter Clockwise The same direction as the way hands on the clock go. Clockwise The opposite direction of the way the hands on the clock go.

61 CCS 2007 Collection of information often organized on graphs or charts for analysis. Data http://www.studyzone.org/testprep/math4/d/graphdatal.cfm

62 CCS 2007 93, 84, 97, 98, 100, 78, 86, 100, 85, 92 78, 84, 85, 86, 92, 93, 97, 98, 100, 100 92 + 93 = 185 185 / 2 = 92.5 92.5 The middle number in a set of data; must put numbers in order from least to greatest first. Median http://regentsprep.org/Regents/math/mean/Pmeasure.htm

63 CCS 2007 The number that occurs most in a set of data. Mode 56, 66, 68, 73, 44, 62, 73, 44, 89, 55, 41, 73 41, 44, 44, 55, 56, 62, 66, 68, 73, 73, 73, 89 73 http://www.oswego.org/ocsd-web/match/matchgeneric.asp?filename=ccarrollmode http://www.bbc.co.uk/education/mathsfile/shockwave/games/train.html

64 CCS 2007 Subtract the smallest number from the largest number in a set of data. Range http://www.mathgoodies.com/lessons/vol8/range.html http://www.quizville.com/range.php 89, 73, 84, 91, 87, 77, 94 73, 77, 84, 87, 89, 91, 94 94 – 73 = 21 21

65 CCS 2007 A way to arrange data with the tens on the left and the ones listed on the right. Stem and Leaf Plot http://regentsprep.org/Regents/math/data/stemleaf.htm http://www.shodor.org/interactivate/activities/stemleaf/index.html 12345671234567 3, 3, 7 2, 9, 9, 9 1 3, 9 1, 4, 6 2 5, 7, 7, 8

66 CCS 2007 Coordinate Grid/ X-Y Chart Used to find coordinates for ordered pairs for the X and Y axis. http://www.shodor.org/interactivate/activities/pcoords/index.html http://www.shodor.org/interactivate/activities/coords2/index.html

67 CCS 2007 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

68 CCS 2007 A graph that uses pictures to represent data. Pictograph Key http://www.oswego.org/ocsd-web/quiz/mquiz.asp?filename=ccarrollgraph http://www.studyzone.org/testprep/math4/d/graphdatal.cfm

69 CCS 2007 http://www.mcwdn.org/Graphs/LineGraph.html interval label title scale Shows change over time; will have months, days or other time words in the problem. Line Graph

70 CCS 2007 Is used to compare facts about groups and numbers that can be counted Bar Graph http://www.mcwdn.org/Graphs/BarGraph.html labels title scale

71 CCS 2007 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

72 CCS 2007 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

73 CCS 2007 A letter or symbol that represents a number in an algebraic expression. Variable http://www.aplusmath.com/Games/PlanetBlast/index.html http://www.vectorkids.com/vkvariable.htm Each side of the = symbol must balance

74 CCS 2007 Contains at least one variable as well as other numbers and/or operations. Algebraic Expression 16 5 10 20 100 http://mathsnet.net/algebra/l2_equation.html l

75 CCS 2007 A mathematical sentence where the left side equals the right side. Equation http://www.studyzone.org/testprep/math4/d/numericalp.cfm

76 CCS 2007 Input/Output chart http://www.studyzone.org/testprep/math4/k/addpatternsl.cfm http://www.shodor.org/interactivate/activities/NumberCruncher/ A chart that shows a consistent rate of change. Function Machine T-chart

77 CCS 2007 Unknown The variable represents the number you are solving to find, termed as the… http://nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2.html

78 CCS 2007 http://www.studyzone.org/testprep/math4/i/dpatternsl.cfm http://www.studyzone.org/testprep/math4/k/patternsl.cfm http://www.studyzone.org/testprep/math4/k/patternsp.cfm An ordered set of numbers, shapes, or other mathematical objects, arranged according to a rule. Pattern

79 CCS 2007 Geometric Pattern Pattern Types Numeric Pattern Patterns using shapes 4, 8,16,32,…. Patterns using numbers

80 CCS 2007 Nth Term Any number in the pattern can be found by finding the relation ship or rule of the pattern. 3,6,9,12,15,18…… Nth term = 3n 10 th term = 3(10) = 30

81 CCS 2007 Equal to/not equal to Symbols used to determine relationships of equalities. http://www.studyzone.org/testprep/math4/k/greaterlessthanl.cfm equal to.5 =.50.30 =.300.5 =.05.3 =.003 ? <.5 ? =.1,.2,.3,.4,or.5 not equal to less than or equal to

82 CCS 2007 The quotient of two numbers used to compare two qualities. Ratio 3535 Red chips Blue chips http://www.studyzone.org/mtestprep/math8/c/ratiol.cfm


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