From 06-07 DPI 4th grade indicators: From 06-07 DPI 4th grade indicators Math Vocabulary
Slide 2: Goal 1
Slide 3: A real number that can be written as a positive or negative whole number, fraction, or decimal, Rational Number
Slide 4: Forms of Numbers Expanded notation form 300+20+6 Three hundred twenty-six Written Form 326 Standard form Picture Form http://www.aaamath.com/plc31d-placevalue-add.html
Slide 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 45,305.79 ten- thousands ones thousands hundreds tens tenths hundredths
Slide 6: Blocks which show base 10 number values. Base Ten Blocks http://www.arcytech.org/java/b10blocks/b10blocks.html
Slide 7: Blocks which show base 10 number values. Hundred Board http://www.amblesideprimary.com/ambleweb/mentalmaths/interactivenumbergrids.html
Slide 8: Compose 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
Slide 9: Breaking a number apart to make it easier to work with. 30 X 14 Decompose http://www.studyzone.org/testprep/math4/d/commutativep.cfm (30 X 10) + (30 X 4) 300 + 120 = 420
Slide 10: 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
Slide 11: 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
Slide 12: 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
Slide 13: 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
Slide 14: array A set of objects or numbers arranged in rows and columns. http://www.beaconlearningcenter.com/WebLessons/GroupsOfDogs/default.htm
Slide 15: Sharing or Grouping a number into equal parts. Divide http://www.amblesideprimary.com/ambleweb/mentalmaths/dividermachine.html quotient
Division Vocabulary: Division Vocabulary The Number being divided A number that will divide the dividend The result of a division Dividend Divisor Quotient
Divisibility Rules: Divisibility Rules
Slide 18: 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
Slide 19: 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
Slide 20: 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
Slide 21: 1 2 2 Whole number fraction 7 3 3 4 http://www.visualfractions.com/MixtoFrCircle.html Fractions Numerator: number of each part Denominator: number of parts Improper fraction mixed number
Slide 22: 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.html 1/2 = 3/6 Equal Portions
Slide 23: A fraction written as a decimal Decimal Fraction http://www.amblesideprimary.com/ambleweb/mentalmaths/fracto.html
Slide 24: 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
Slide 25: A line on which numbers, decimals and fractions can be compared and ordered. Number Line http://www.mathsonline.co.uk/freesite_tour/resource/whiteboard/decimals/dec_notes.html http://www.shodor.org/interactivate/activities/fracsorter/index.html .8 .08 2.25 .08 < .8 .08 is less than .8 2.25 > .8 2.25 is greater than .8
Slide 26: Problem Solving Strategies http://www.mathstories.com/strategies.htm
Slide 27: Problem Solving Method Look Back Justify, prove, evaluate or explain the reasonableness of your answer.
Slide 28: Using a table/chart http://www.studyzone.org/testprep/math4/k/chartprobl.cfm http://www.mathstories.com/strategies_makeatable.htm X X X
Slide 29: 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
Slide 30: 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
Slide 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 http://www.mathstories.com/strategies_makealist.htm \ Organized list Answer
Slide 32: 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? http://www.mathstories.com/strategies_working_backward.htm 2 12 4 = 2 + 12 + 4 = 18
Slide 33: Using a calculator http://edschool.csuhayward.edu/departments/ted/instruction/howe/5350/1-calculatorRiddles.html
Slide 34: Using Objects, models, representations http://nlvm.usu.edu/en/nav/frames_asid_273_g_2_t_4.html
Slide 35: Information in a problem that does NOT help you solve the problem. Extra Information 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?
Slide 36: Goal 2
Slide 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
Slide 38: A three sided polygon. Triangle http://www.factmonster.com/ipka/A0876325.html
Slide 39: 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
Slide 40: Any four sided figure. Quadrilateral http://regentsprep.org/Regents/math/quad/LQuad.htm
Slide 41: Four sided figure, all sides equal, opposite sides parallel, and all right angles. Square http://www.mathleague.com/help/geometry/polygons.htm#righttriangle
Slide 42: Four sided figure. opposite sides equal lengths and parallel, all right angles Rectangle http://www.standards.dfes.gov.uk/primary/publications/mathematics/12874/nns_useict026000carroll.swf
Slide 43: 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
Slide 44: A ten sided polygon Decagon http://www.ul.ie/~cahird/polyhedronmode/decagon.htm
Slide 45: A line with two endpoints Line Segment http://www.pinkmonkey.com/studyguides/subjects/geometry/chap1/g0101201.asp A B
Slide 46: A line with one endpoint Ray http://www.mathleague.com/help/geometry/basicterms.htm#rays
Slide 47: The Point at which two rays meet. Vertex http://mathworld.wolfram.com/VertexAngle.html This triangle contains 3 vertices
Slide 48: Two rays that meet at a vertex Angle http://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm
Slide 49: Linear Measurements The measurement of the longest side of a figure. Length
Slide 50: Linear Measurements Width The measurement of the shortest side of a figure.
Slide 51: The measurement of all sides of a plane figure Perimeter http://www.funbrain.com/poly/ 3 in 4 in The DIMENSIONS of this rectangle ar 4 inches long, and 3 inches wide. To find the perimeter: length + length+ width + width 4in + 4in + 3in + 3in= 12in Hint:P lus all sides! http://www.shodor.org/interactivate/activities/permarea/index.html
Slide 52: The measurement of square units needed to cover a figure. Area 3 in 4 in Length X Width 3in X 4in = 12 square inches http://www.shodor.org/interactivate/activities/perm/index.html http://www.studyzone.org/testprep/math4/d/metricunitl.cfm http://www.studyzone.org/testprep/math4/d/customaryunitl.cfm
Slide 53: units used to measure area Square Units http://www.shodor.org/interactivate/activities/perm/index.html http://www.studyzone.org/testprep/math4/d/metricunitl.cfm http://www.studyzone.org/testprep/math4/d/customaryunitl.cfm 3 in 4 in Length X Width 3in X 4in = 12 square inches Each of these is a square unit.
Slide 54: Goal 3
Slide 55: A pair of numbers that gives the coordinates of a point on a grid Ordered Pair http://www.mathcats.com/crafts/grids.html http://www.studyzone.org/testprep/math4/d/orderpairp.cfm 0 1 2 3 4 3 2 1 (1,2)
Slide 56: Coordinate Grid/ X-Y Chart http://www.shodor.org/interactivate/activities/coords2/index.html Used to find coordinates for ordered pairs for the X and y axis.
Slide 57: Quadrant Any quarter of a plane divided by an X and Y axis.
Slide 58: A line joining two non-adjacent vertices of a polygon. Diagonal http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php
Slide 59: When lines cross over one another Intersect http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php
Slide 60: Two perpendicular lines which form a 90 degree angle. Right Angle http://www.mathsnet.net/shape/category1.html
Slide 61: Two lines, equal distance apart that will never touch or intersect; non-intersecting lines Parallel Lines http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php
Slide 62: Lines that intersect at right angles to each other. Perpendicular Lines http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php
Slide 63: Any 2-dimensional (flat) area Plane
Slide 64: A change in position or size Transformations http://www.harcourtschool.com/activity/icy_slides_flips_turns/
Slide 65: A mirror view Reflection http://regentsprep.org/Regents/Math/reflect/PracRefl.htm l Pre-image (before) -image (after)
Slide 66: Move or shift an item in any direction without rotating it. Translation Also called a slide http://regentsprep.org/Regents/Math/trans/PracTran.htm
Slide 67: To turn an object, usually 90 degrees or 180 degrees. Rotation origin Half turn- 180 degrees Quarter turn- 90 degrees http://www.utc.edu/Faculty/Christopher-Mawata/transformations/rotations/lesson1c.html http://regentsprep.org/Regents/Math/rotate/PracRot.htm
Slide 68: 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.
Slide 69: Goal 4
Slide 70: Used to collect and organize data http://www.studyzone.org/testprep/math4/d/collectdata4l.cfm Table rows columns
Slide 71: 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
Slide 72: A diagram using circles or other shapes to show the relationship between sets Venn Diagram http://www.shodor.org/interactivate/activities/venndia/index.html Guess the rule for this Venn Diagram
Slide 73: 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
Slide 74: 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 title
Slide 75: Graph used to compare facts about groups and numbers that can be counted Bar Graph http://www.mcwdn.org/Graphs/BarGraph.html labels title scale
Slide 76: This graph is similar to a regular bar graph, but it gives 2 pieces of information for each item , rather than just 1. Double Bar Graph Fruit Sold at the Market Scale title labels http://www.mathleague.com/help/data/data.htm
Slide 77: http://www.mcwdn.org/Graphs/LineGraph.html interval label title scale A graph that shows change over time. Line Graph
Slide 78: 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
Slide 79: 93, 84, 97, 98, 100, 78, 86, 100, 85, 92 78, 84, 85, 86, 92, 93, 97, 98, 100, 100 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
Slide 80: 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 41, 44, 44, 55, 56, 62, 66, 68, 73, 73, 73, 89 73 http://www.bbc.co.uk/education/mathsfile/shockwave/games/train.html http://www.oswego.org/ocsd-web/match/matchgeneric.asp?filename=ccarrollmode
Slide 81: Subtract the smallest number from the largest number in a set of data. Range http://www.quizville.com/range.php 89, 73, 84, 91, 87, 77, 94 73, 77, 84, 87, 89, 91, 94 94 – 73 = 21 21
Slide 82: The likelihood that an even t will happen Probability What color did the spinner land on? Was this one of the favorable choices? Were there equal chances for both colors? http://www.mathgoodies.com/lessons/vol6/intro_probability.html
Slide 83: 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
Slide 84: 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?
Slide 85: Each outcome has the same chance of occurring Equally Likely http://www.studyzone.org/testprep/math4/d/likelyl.cfm
Slide 86: 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 ?
Slide 87: An outcome that will never occur or happen. Impossible http://www.bbc.co.uk/education/mathsfile/shockwave/games/fish.html What are the chances of the arrow landing on blue?
Slide 88: http://www.mathagonyaunt.co.uk/STATISTICS/ESP/Perms_combs.html Steps: Determine whether or not order matters. Make an organized list of all possible outcomes. 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. Strategy for solving problems for determining outcomes: ( Combinations and Permutations)
Slide 89: Goal 5
Slide 90: 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
Slide 91: 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
Slide 92: A mathematical sentence where the left side equals the right side. Equation/Expression http://www.studyzone.org/testprep/math4/d/numericalp.cfm
Slide 93: 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
Slide 94: Unknown The variable represents the number you are solving to find, termed as the… X + 3 = 7 “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
Slide 95: 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
Resources: Resources Web Resources are listed at the bottom of each slide. Additional resources: http://www.teachers.ash.org.au/jeather/maths/dictionary.html