2003 MATHEMATICS NCSCOS Grade 5 Indicators Math Vocabulary by Goal 2003 MATHEMATICS NCSCOS Grade 5 Indicators

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

A real number that can be written as the ratio of two integers (positive or negative whole number, fraction, or decimal) Rational Number

Expanded notation form Picture Form 300+20+6 Forms of Numbers 1,111 Three hundred twenty-six 326 Word 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. 145,305.791 ten- thousands hundreds ones hundredths Hundred- thousands thousands tens tenths thousandths Place Value http://mrsbogucki.com/aemes/resource/apps/placeval/placeval.htm

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

Arranged from largest to smallest Descending Order

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

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.bbc.co.uk/education/mathsfile/shockwave/games/gridgame.html

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

Less Than/Greater Than 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

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://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 1/2 = 3/6 Equivalent Fractions http://www.learningplanet.com/sam/ff/index.asp http://www.shodor.org/interactivate/activities/fracsorter/index.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

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 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

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

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

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

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

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

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

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

Benchmark/landmark cm < in m > yd km <mi kg > lb L > qt Benchmark Comparisons for Metric and Customary Measurements Metric Units Customary Units 2.54 cm (about 2.5) 1 in 0.9 m (about 1) 1 yd 1.6 km (about 1.5) 1 mi .45 kg (about .5) 1 lb .95 L (about 1) 1 qt Greater Than/ Less Than cm < in m > yd km <mi kg > lb L > qt http://www.mathcats.com/explore/convert.html

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

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

Benchmark/landmark cm < in m > yd km <mi kg > lb L >qt Benchmark Comparisons for Metric and Customary Measurements Metric Units Customary Units 2.54 cm (about 2.5) 1 in 0.9 m (about 1) 1 yd 1.6 km (about 1.5) 1 mi .45 kg (about .5) 1 lb .95 L (about 1) 1 qt Greater Than/ Less Than cm < in m > yd km <mi kg > lb L >qt http://www.aaamath.com/B/mea69_x2.htm

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

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

Benchmark/landmark cm < in m > yd km <mi kg > lb L >qt Benchmark Comparisons for Metric and Customary Measurements Metric Units Customary Units 2.54 cm (about 2.5) 1 in 0.9 m (about 1) 1 yd 1.6 km (about 1.5) 1 mi .45 kg (about .5) 1 lb .95 L (about 1) 1 qt Greater Than/ Less Than cm < in m > yd km <mi kg > lb L >qt

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

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

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

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

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

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

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

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

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

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

Congruent Sides When sides of a shape are equal in length These markings indicate congruent sides. Congruent Sides

All three sides of this triangle are congruent. 4 in 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

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

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

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

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

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

A line with two endpoints B Midpoint 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

The point at which two rays meet. Vertex

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

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

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

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

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

Making an estimate or best guess by appearance or with little evidence. Is this a right triangle? How do you know? What is your evidence? Can you tell without measuring? Conjecture

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

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

Four sided figure; opposite sides equal lengths and parallel; all right angles Rectangle

Sum of interior angles - 360º 2 intersecting diagonals. Four sided figure; opposite sides equal lengths and parallel; all right angles Sum of interior angles - 360º 2 intersecting diagonals. 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, perpendicular diagonals A four-sided figure in which the two pairs of adjacent sides have the same length. Sum of interior angles - 360º 2 intersecting, perpendicular diagonals Kite

Parallelogram 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

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

Number of diagonals in a polygon: #of sides 4 5 6 7 8 # of diagonals 2 9 14 20 +3 +4 +5 +6 Sum of interior angles in a polygon: #of sides 3 4 5 6 7 8 Sum of int. angles 180º 360º 540º 720º 900º 1080º +180 +180 +180 +180 +180

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

A ten sided polygon Decagon

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

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

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

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 The learner will understand and use graphs and data analysis.

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

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

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.mathgoodies.com/lessons/vol8/range.html http://www.quizville.com/range.php

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

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/pcoords/index.html http://www.shodor.org/interactivate/activities/coords2/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. Key Pictograph http://www.studyzone.org/testprep/math4/d/graphdatal.cfm

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

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

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 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

Goal 5 The learner will demonstrate an understanding of patterns, relationships, and elementary algebraic representation.

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

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

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

The variable represents the number you are solving to find, termed as the… X + 3 = 7 Unknown http://nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2.html

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

Constant Change Varying Change Proportional Change Pattern Changes 2,4,6,8,10…. Varying Change 3,7,4,8,5,9,6,10,7… Proportional Change 3 4 5 6 7 8 9… 20 5 6 7 8 9 10 11…. 22

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

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

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

The quotient of two numbers used to compare two quantities. 3 5 Red chips Blue chips Ratio http://www.studyzone.org/mtestprep/math8/c/ratiol.cfm

Resources Web resources are listed at the bottom of each slide. Additional resources: NCDPI Math Glossary http://community.learnnc.org/dpi/math/archives/GlossarySP.pdf Houghton Mifflin Math http://www.eduplace.com/kids/hmm/g_5.html