93963525 Math Vocabulary Grade 3

CCS 2007

From 06-07 DPI 3rd grade

indicators

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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

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

5,305

ones

thousands

hundreds

tens

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Blocks which show base 10 number

values.

Base Ten Blocks http://www.arcytech.org/java/b10blocks/b10blocks.html

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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

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Putting numbers together.

Add http://www.studyzone.org/testprep/math4/d/commutativep.cfm

17 + 34 = 51

Sum Addends

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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

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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

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Subtract http://www.oswego.org/ocsd-web/games/Mathmagician/maths1.htm

http://www.aplusmath.com/Games/PlanetBlasterBasics/index.html

To Take numbers apart

95 36 = 59

Difference

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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

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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

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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

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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

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Less Than/Greater Than

Symbol used to compare relationships

of inequalities.

Symbol used to compare numbers

Symbol used to compare numbers

http://www.studyzone.org/testprep/math4/k/greaterlessthanl.cfm

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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

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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

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array http://www.beaconlearningcenter.com/WebLessons/GroupsOfD

ogs/default.htm

A set of objects or numbers arranged

in rows and columns.

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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

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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

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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

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Division Vocabulary

The

Number

being

divided

A number

that will

divide the

dividend

The result

of a

division

Dividend Divisor Quotient

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Amount left over after dividing a number

Remainder

Fair shares

** Dividing is Sharing Equally!**


Left over

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Divisibility Rules

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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

Shaded region/area

Un-shaded region/area

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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

Proper fraction

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Having the same amount or value;

the state of being equal.

Equivalent


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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

1/2 = 3/6

Equal Portions

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A line on which numbers, and fractions

can be compared and ordered.

Number Line http://matti.usu.edu/nlvm/nav/frames_asid_156_g_1_t_1.html?open=activities

http://www.shodor.org/interactivate/activities/fracsorter/index.html

1 3

< 1 is less than 1

3 > 1 3 is greater than 1

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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

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Problem Solving Method

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

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Using a table/chart

http://www.studyzone.org/testprep/math4/k/chartprobl.cfm

http://www.mathstories.com/strategies_makeatable.htm

X X

X

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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

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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

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Make an organized list Question: Jill, Makayla and Tanya

dont want to ride the Farris-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

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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

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Using a calculator

http://edschool.csuhayward.edu/departments/ted/instruction/howe/

5350/1-calculatorRiddles.html

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Using Objects, models,

representations


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Use of standard units to find out size

or quantity in regard to length,

weight, capacity, temperature and

time.

Measure

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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

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The system of measurement used in

most countries of the world

Metric System

http://www.oswego.org/ocsd-web/match/term/matchgeneric2.asp?filename=ccarrolllength

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Beans

Candy

Steps

Counters

Non-

Standard

Units

Inches

Grams

Gallons

Degrees

Standard

Units

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Units of length, width and distance

in the customary system.

Inches, Feet, Yards, Miles http://www.funbrain.com/measure/

http://www.oswego.org/ocsd-

web/match/matchgeneric.asp?filename=length

12in = 1 ft

3 ft = 1 yd

5280 ft = 1 mi

Customary

Units of Linear

Measurement:

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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

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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

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The measurement of the longest side of a figure.

4 ft

12 ft

How long is this figure?

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The measurement of the shortest side of a figure.

4 ft

12 ft How wide is this figure?

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The measurement of the tallest side of a figure.

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Tools for Mass

Measurement

Scale

Weights

Balance

http://www.studyzone.org/testprep/math4/d/measuretoolp.cfm

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The amount of matter an object

contains.

Mass

http://www.bbc.co.uk/education/mathsfile/shockwave/games/animal.html

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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

CCS 2007

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

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The amount of liquid or poured solid

a container will hold.

Capacity

1 liter

http://www.studyzone.org/testprep/math4/d/capacityl.cfm

CCS 2007

http://www.edhelper.com/math/capacity_fg1943.htm

Units of capacity in the customary system.

cup, pint, quart, gallon

Q Q

Q Q

PP PP

PP PP

cc 2 c = 1 p

2 p = 1 q

4 q = 1 gal

cc cc cc

cc cc cc cc Customary

Units of

Capacity

Measurement:

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

Metric Units of

Capacity

Measurement:

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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

http://oncampus.richmond.edu/academics/education/projects/webunits/measurement/temp1.htm

l

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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

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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

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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

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Analog Clock

http://www.studyzone.org/testprep/math4/j/timep.cfm

Digital Clock

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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.

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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?

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Duration of Time

Intervals of Time-

Morning Afternoon

http://www.studyzone.org/testprep/math4/j/timeminute.swf

? ?

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Any 2-dimensional (flat) shape

Plane Figures

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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:

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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

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A polygon for which all sides and all

angles are not congruent.

Irregular Polygon http://www.ul.ie/~cahird/polyhedronmode/irregula.htm

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Shapes that are the same shape

and the same size

Congruent Shapes

http://www.beaconlearningcenter.com/WebLessons/CongruentConcentration/default.htm

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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

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Two perpendicular lines which form

a 90 degree angle.

Right Angle http://www.mathsnet.net/shape/category1.html

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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 35

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A Three sided polygon.

Triangle http://www.factmonster.com/ipka/A0876325.html

http://www.mathsnet.net/shape/category2.html

This shape has 3

sides

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Any four sided figure.

Quadrilateral http://regentsprep.org/Regents/math/quad/LQuad.htm

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Four sided figure, all sides equal,

opposite sides parallel, and all right

angles.

Square http://www.mathleague.com/help/geometry/polygons.htm#righttriangle

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Four sided figure. opposite sides

equal lengths and parallel, all right

angles

Rectangle http://www.standards.dfes.gov.uk/primary/publications/mathem

atics/12874/nns_useict026000carroll.swf

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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

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A ten sided polygon

Decagon http://www.ul.ie/~cahird/polyhedronmode/decagon.htm

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A line with two endpoints

Line Segment http://www.pinkmonkey.com/studyguides/subjects/geometry/chap1/g0101201.asp

A B

end points

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A line with one endpoint

Ray http://www.mathleague.com/help/geometry/basicterms.htm#rays

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The Point at which two rays meet.

Vertex http://mathworld.wolfram.com/VertexAngle.html

This shape has 3

vertices

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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

CCS 2007

Any 3-dimensional shapes

that takes up space

Solid Figures

These are

3-D

shapes!

http://www.factmonster.com/math/knowledgebox/player.html?movie=sfw50631

These are also

called

polyhedrons

CCS 2007

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

CCS 2007

Where two faces meet on a

solid shape.

Edge http://illuminations.nctm.org/tools/tool_detail.aspx?id=70


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Where two edges meet on a

solid shape.

Corner http://illuminations.nctm.org/tools/tool_detail.aspx?id=70


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The flat circle shaped bottom

of cylinders and cones

Base http://illuminations.nctm.org/tools/tool_detail.aspx?id=70


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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/

CCS 2007

Solid

Figures

Pentagonal

Hexagonal

Decagonal

Octagonal

Have faces, edges, and

corners

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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

1

(1,2)

Ordered pairs

are found on a

coordinate grid

point

X and y

Axis

http://www.studyzone.org/testprep/math4/d/orderpairp.cfm

CCS 2007

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

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

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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

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Used for collecting data

table

http://www.studyzone.org/testprep/math4/d/collectdata4l.cfm

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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

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 xs indicates how many

times each score

occurred

http://www.studyzone.org/testprep/math4/d/rangel.cfm

l

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

CCS 2007

A method of collecting a sample of

data by asking people questions.

Survey http://www.studyzone.org/testprep/math4/d/randomsamp.cfm

CCS 2007

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

CCS 2007

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.

CCS 2007

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

CCS 2007

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?

CCS 2007

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?

CCS 2007

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?

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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

red?

CCS 2007

CCS 2007

http://www.studyzone.org/testprep/math4/i/dpatternsl.cfm

The first three numbers of a pattern which

show the patterns rule

Pattern Core/Unit

50,75,45,70 Rule: +25, -30, 18th number- 35

18th

CCS 2007

Mathematical sentence written in numerals and

mathematical symbols.

Number Sentence http://www.studyzone.org/testprep/math4/d/numericalp.cfm

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

CCS 2007

A mathematical sentence where the

left side equals the right side.

Equation/Expression http://www.shodor.org/interactivate/activities/NumberCruncher/

CCS 2007

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


CCS 2007

Resources

Web Resources are listed at the bottom of each slide.

Additional resources:

http://www.teachers.ash.org.au/jeather/maths/dictionary.html

Documents

93963525 Math Vocabulary Grade 3