From 06-07 DPI 4th grade indicators Math Vocabulary From 06-07 DPI 4th grade indicators

Goal 1

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

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

The position of a single digit in a whole number or decimal number containing one or more digits. 45,305.79 ten- thousands hundreds ones hundredths thousands tens tenths Place Value http://mrsbogucki.com/aemes/resource/apps/placeval/placeval.htm

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

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

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

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

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

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

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

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.tki.org.nz/r/wick_ed/maths/interactives_matrix.php http://www.bbc.co.uk/education/mathsfile/shockwave/games/gridgame.html

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

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

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

Divisibility Rules

Remainder 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

Symbols used to determine relationships of equalities. 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 Equal to/not equal to http://www.studyzone.org/testprep/math4/k/greaterlessthanl.cfm

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 4 Fractions 7 1 3 2 Numerator: number of each part Denominator: number of parts Fractions 7 3 1 2 Whole number fraction Improper fraction mixed number http://www.visualfractions.com/MixtoFrCircle.html

Fractions that are the same or equal Equal Portions 1/2 = 3/6 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

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

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

A line on which numbers, decimals and fractions can be compared and 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.mathsonline.co.uk/freesite_tour/resource/whiteboard/decimals/dec_notes.html http://www.shodor.org/interactivate/activities/fracsorter/index.html

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

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

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

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

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

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 \

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

Using a calculator http://edschool.csuhayward.edu/departments/ted/instruction/howe/5350/1-calculatorRiddles.html

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

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

Goal 2

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

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

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

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

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

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

Hexagon Trapezoid Octagon Rhombus Pentagon 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

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

A line with two endpoints B Line Segment http://www.pinkmonkey.com/studyguides/subjects/geometry/chap1/g0101201.asp

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

This triangle contains 3 vertices The Point at which two rays meet. This triangle contains 3 vertices Vertex http://mathworld.wolfram.com/VertexAngle.html

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

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

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

The measurement of all sides of a plane figure 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:Plus all sides! Perimeter http://www.shodor.org/interactivate/activities/permarea/index.html http://www.funbrain.com/poly/

The measurement of square units needed to cover a figure. 3 in 4 in Length X Width 3in X 4in = 12 square inches Area 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

Square Units units used to measure area Length X Width 3 in 4 in Length X Width 3in X 4in = 12 square inches Each of these is a square unit. 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

Goal 3

A pair of numbers that gives the coordinates of a point on a grid 0 1 2 3 4 3 2 1 (1,2) Ordered Pair http://www.mathcats.com/crafts/grids.html http://www.studyzone.org/testprep/math4/d/orderpairp.cfm

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

Any quarter of a plane divided by an X and Y axis. Quadrant

A line joining two non-adjacent vertices of a polygon. Diagonal http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php

When lines cross over one another Intersect http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php

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

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

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

Any 2-dimensional (flat) area Plane

A change in position or size Transformations http://www.harcourtschool.com/activity/icy_slides_flips_turns/

Reflection A mirror view Pre-image -image (before) (after) http://regentsprep.org/Regents/Math/reflect/PracRefl.htm l

Move or shift an item in any direction without rotating it. Also called a slide Translation http://regentsprep.org/Regents/Math/trans/PracTran.htm

To turn an object, usually 90 degrees or 180 degrees. origin Quarter turn- 90 degrees Half turn- 180 degrees Rotation http://regentsprep.org/Regents/Math/rotate/PracRot.htm http://www.utc.edu/Faculty/Christopher-Mawata/transformations/rotations/lesson1c.html

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

Goal 4

Used to collect and organize data rows columns Table http://www.studyzone.org/testprep/math4/d/collectdata4l.cfm

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

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

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

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

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

Fruit Sold at the Market This graph is similar to a regular bar graph, but it gives 2 pieces of information for each item , rather than just 1. title Fruit Sold at the Market Scale labels Double Bar Graph http://www.mathleague.com/help/data/data.htm

A graph that shows change over time. http://www.mcwdn.org/Graphs/LineGraph.html interval label title scale Line Graph

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

The middle number in a set of data; must put numbers in order from least to greatest first. 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 Median http://regentsprep.org/Regents/math/mean/Pmeasure.htm

The number that occurs most in a set of data. 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 Mode http://www.bbc.co.uk/education/mathsfile/shockwave/games/train.html http://www.oswego.org/ocsd-web/match/matchgeneric.asp?filename=ccarrollmode

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

Probability The likelihood that an event will happen Was this one of the favorable choices? Were there equal chances for both colors? What color did the spinner land on? Probability http://www.mathgoodies.com/lessons/vol6/intro_probability.html

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

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

Each outcome has the same chance of occurring Equally Likely http://www.studyzone.org/testprep/math4/d/likelyl.cfm

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

Impossible An outcome that will never occur or happen. What are the chances of the arrow landing on blue? Impossible http://www.bbc.co.uk/education/mathsfile/shockwave/games/fish.html

Strategy for solving problems for determining outcomes: (Combinations and Permutations) Using the digits 3,4 and 5. What are all the possible three digit numbers you could create? Order matters in this problem. Different orders make different numbers. 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. 345, 354 435, 453 534, 543 Answer- 6 http://www.mathagonyaunt.co.uk/STATISTICS/ESP/Perms_combs.html

Goal 5

An ordered set of numbers, shapes, or other mathematical objects, arranged according to a rule. Pattern 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

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

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

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

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 Unknown http://nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2.html

The order in which operations should be done. Order of Operations http://www.mathgoodies.com/lessons/vol7/order_operations.html http://www.scweb4free.com/oper.html

Resources Web Resources are listed at the bottom of each slide. Additional resources: http://www.teachers.ash.org.au/jeather/maths/dictionary.html