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5th grade math vocabulary from Cleveland County.
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CCS 2007
From 06-07 DPI 5th grade indicators
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A real number that can be written as a positive or negative whole number,
fraction, or decimal,
Rational Number
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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
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The position of a single digit in a whole number or decimal number
containing one or more digits.
Place Valuehttp://mrsbogucki.com/aemes/resource/apps/placeval/placeval.htm
145,305.791Hundred- thousands
ten- thousands
ones
thousands
hundreds
tens tenths
hundredths
thousandths
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Arranged from smallest to largest
Ascending Orderhttp://www.studyzone.org/testprep/math4/e/decorderl.cfm
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Arranged from largest to smallest
Descending Order
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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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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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Having the same amount or value; the state of being equal.
Equivalencehttp://nlvm.usu.edu/en/nav/frames_asid_105_g_2_t_1.html
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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 = .50
.30 = .300.5 =.05
.3 = .003
? < .5
? =.1,.2,.3,.4,or .5
not equal to
less than or equal to
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Equal parts of a whole or group written with a numerator and a
denominator.
Fractionhttp://www.kidsolr.com/math/fractions.html
http://math.rice.edu/~lanius/fractions/
3 -Numerator
7 -Denominator
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12
2Whole number
fraction
73
34
http://www.visualfractions.com/MixtoFrCircle.html
Fractions
Numerator: number of each part
Denominator: number of
parts
Improper fraction mixed number
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Fractions that are the same or equal
Equivalent Fractionshttp://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
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Numbers written in standard form to show a value less than 1.
Decimalhttp://www.321know.com/cmp42bx2.htm
.1
.01
.001
one-tenth
one-hundredth
one-thousandth
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Problem Solving Strategies
http://www.mathstories.com/strategies.htm
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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.cfmhttp://www.mathstories.com/strategies_makeatable.htm
XX
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 listQuestion: Jill, Makayla and Tanya don’t want to ride the Farris-wheel
alone. How many ways can they ride if the ride will only fit two at a time?
Jill/MakaylaJill/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
http://nlvm.usu.edu/en/nav/frames_asid_273_g_2_t_4.html
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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?
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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
Composehttp://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
Decomposehttp://www.studyzone.org/testprep/math4/d/commutativep.cfm
(30 X 10) + (30 X 4)300 + 120 = 420
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Mathematical sentence where the left side of the equals sign has the
same value as the right side.
Equationhttp://www.aplusmath.com/Games/PlanetBlast/index.html
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Units of capacity in the metric system.
milliliter, literhttp://www.metricamerica.com/litre.htm
http://www.metricamerica.com/millilitre.htm
1000 ml = 1 L1 L
1 ml1
ml
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GQQQQ
PP PP
PP PP
cc 2 c = 1 p
2 p = 1 q
4 q = 1 gal
cc cc cc
cc cc cc cc
http://www.edhelper.com/math/capacity_fg1943.htm
Units of capacity in the customary system.
cup, pint, quart, gallon
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Benchmark/landmarkBenchmark Comparisons for
Metric ad 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
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Units of length, width and distance in the metric system.
centimeter, meter, kilometerhttp://www.metricamerica.com/centimetre.htm
100cm = 1m
1000 m = 1 km
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Units of length, width and distance in the customary system.
Inches, Feet, Yards, Mileshttp://www.funbrain.com/measure/
12in = 1 ft
3 ft = 1 yd
5280 ft = 1 mi
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Benchmark/landmark
Benchmark Comparisons for Metric ad 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 >qthttp://www.aaamath.com/B/mea69_x2.htm
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Units of weight (or mass) in the metric system.
gram and kilogram
1000g = 1kg
http://www.studyzone.org/testprep/math4/d/metgraml.cfm
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Units of weight (or mass) in the customary system.
ounce, pound, and tonhttp://www.edhelper.com/math/length_weight_fg2255.htm
16 oz = 1lb
2000 lbs = 1 ton
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Benchmark/landmark
Benchmark Comparisons for Metric ad 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
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Tool used to measure angles
Protractorhttp://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html
http://www.enchantedlearning.com/math/label/protractor/
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Two perpendicular lines which form a 90 degree angle.
Right Anglehttp://www.icteachers.co.uk/children/sats/triangles.htm
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 Anglehttp://www.manatee.k12.fl.us/sites/elementary/palmasola/mathlabtutan1b.htmhttp://www.toonuniversity.com/6m_angle_d.html
110
35 35
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An angle less than 90 degrees
Acute Angle
60
60
60
http://www.mathsnet.net/shape/category2.html
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Two angles that share a common side
Adjacent Angles
130 50
http://www.mathwords.com/a/adjacent_angles.htm
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Angle Notation
ABC=
A
B C
Symbol used to identify an angle
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Two adjacent angles that total 180 degrees
Supplementary Angles
130 50
http://www.mathsisfun.com/geometry/supplementary-angles.htmlhttp://www.mathopenref.com/anglesupplementary.html
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Two adjacent angles that total 90 degrees
Complementary Angleshttp://www.mathwarehouse.com/geometry/angle/complementary-angles.php
http://www.mathopenref.com/anglecomplementary.html
45
45
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Angles that have the same measure.
Congruent Angleshttp://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm
45
45
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When sides of a shape are equal in length
Congruent Sides
These markings indicate congruent sides
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All three sides of this triangle are congruent.
Equilateral Trianglehttp://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
4 in
4 in
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This triangle has two congruent sides.
Isosceles Trianglehttp://www.homeschoolmath.net/gy/equilateral_isosceles.php
http://www.amblesideprimary.com/ambleweb/sketchpad/isosco.htm
4 in
3 in
4 in
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This triangle has no congruent sides
Scalene Trianglehttp://www.amblesideprimary.com/ambleweb/sketchpad/scalene.htm
http://www.mathsisfun.com/triangle.html
5 in
4 in3 in
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A polygon for which all sides are congruent and all angles are congruent.
Regular Polygonhttp://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 Polygonhttp://www.ul.ie/~cahird/polyhedronmode/irregula.htm
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Any four sided figure.
Quadrilateralhttp://regentsprep.org/Regents/math/quad/LQuad.htm
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A line with two endpoints
Line Segmenthttp://www.pinkmonkey.com/studyguides/subjects/geometry/chap1/g0101201.asp
A B
Midpoint
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A line with one endpoint
Rayhttp://www.mathleague.com/help/geometry/basicterms.htm#rays
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The Point at which two rays meet.
Vertexhttp://mathworld.wolfram.com/VertexAngle.html
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Two rays that meet at a vertex
Anglehttp://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm
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Sides or angles immediately next to each other.
Adjacenthttp://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm
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To divide into two equal sections; to cut in half.
Bisect
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Two lines that will never touch or intersect because they are the same
distance apart.
Parallel Lineshttp://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php
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Lines that intersect at right angles to each other.
Perpendicular Lineshttp://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php
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Making an estimate or best guess by appearance or with little evidence.
Conjecture
Is this a right triangle?
How do you know?
What is your evidence? Can you tell without measuring?
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A line joining two non-adjacent vertices of a polygon.
Diagonalhttp://www.math.fau.edu/Richman/Liberal/polydiag.htm
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Four sided figure, all sides equal, opposite sides parallel, all right
angles
Squarehttp://www.mathleague.com/help/geometry/polygons.htm#righttriangle
Sum of interior angles- 360º
2 intersecting, bisecting,
perpendicular diagonals
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Four sided figure. opposite sides equal lengths and parallel, all right
angles
Rectangle
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Four sided figure. opposite sides equal lengths and parallel, all right
angles
Rectanglehttp://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.
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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
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Four sided figure. Opposite sides equal lengths and parallel
Parallelogram
http://ejad.best.vwh.net/java/patterns/patterns_j.shtmlhttp://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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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
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Number of diagonals in a polygon:
#of sides 4 5 6 7 8
# of diagonals
2 5 9 14 20
+3 +4 +5 +6
Sum of interior angles in a polygon:
#of sides 3 4 5 6 7 8Sum of int. angles
180º 360º 540º 720º 900º 1080º
+180 +180 +180 +180 +180
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two types of trapezoids
Right Trapezoid
Two right angles
Isosceles Trapezoid
No right angles
Two congruent sides
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A ten sided polygon
Decagonhttp://www.ul.ie/~cahird/polyhedronmode/decagon.htm
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When a straight line is drawn through a shape so that the two halves are
congruent.
Symmetryhttp://library.thinkquest.org/J002441F/symmetry.htm
Line of symmetry
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When an outline of a turning figure
matches its original shape .
Rotational Symmetryhttp://www.adrianbruce.com/Symmetry/10.htm
http://www.learner.org/channel/courses/learningmath/geometry/session7/part_b/index.html
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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.htmhttp://www.studyzone.org/mtestprep/math8/f/symturns5p.cfm
Rotations
3 Quarter turn-270 degrees
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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.
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Collection of information often organized on graphs or charts for analysis.
Datahttp://www.studyzone.org/testprep/math4/d/graphdatal.cfm
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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.
Medianhttp://regentsprep.org/Regents/math/mean/Pmeasure.htm
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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.oswego.org/ocsd-web/match/matchgeneric.asp?filename=ccarrollmodehttp://www.bbc.co.uk/education/mathsfile/shockwave/games/train.html
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Subtract the smallest number from the largest number in a set of data.
Rangehttp://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
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A way to arrange data with the tens on the left and the ones listed on the right.
Stem and Leaf Plothttp://regentsprep.org/Regents/math/data/stemleaf.htm
http://www.shodor.org/interactivate/activities/stemleaf/index.html
1
2
3
4
5
6
7
3, 3, 7
2, 9, 9, 9
1
3, 9
1, 4, 6
2
5, 7, 7, 8
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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.htmlhttp://www.shodor.org/interactivate/activities/coords2/index.html
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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
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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 2007http://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
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Is used to compare facts about groups and numbers that can be counted
Bar Graphhttp://www.mcwdn.org/Graphs/BarGraph.html
labelstitle
scale
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Compares parts to the whole; decimals and fractions may be used on this graph
Circle Graphhttp://www.mcwdn.org/Graphs/CirclePieQuiz.html
key
title
labels
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The number of times an event occurs; may use tally marks to record
Frequency
IIII IIII IIIItallies
http://www.studyzone.org/testprep/math4/d/tablestallyl.cfm
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A letter or symbol that represents a number in an algebraic expression.
Variablehttp://www.aplusmath.com/Games/PlanetBlast/index.htmlhttp://www.vectorkids.com/vkvariable.htm
Each side of the = symbol must
balance
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Contains at least one variable as well as other numbers and/or operations.
Algebraic Expression
16
5
10
2020
100
http://mathsnet.net/algebra/l2_equation.html
l
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A mathematical sentence where the left side equals the right side.
Equationhttp://www.studyzone.org/testprep/math4/d/numericalp.cfm
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Input/Output charthttp://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
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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
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http://www.studyzone.org/testprep/math4/i/dpatternsl.cfmhttp://www.studyzone.org/testprep/math4/k/patternsl.cfmhttp://www.studyzone.org/testprep/math4/k/patternsp.cfm
An ordered set of numbers, shapes, or other mathematical objects, arranged according to
a rule.
Pattern
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Constant Change
Pattern Changes
Varying Change
Proportional Change
5 6 7 8 9 10 11…. 22
3,7,4,8,5,9,6,10,7…
2,4,6,8,10….
3 4 5 6 7 8 9… 20
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Geometric Pattern
Pattern Types
Numeric PatternPatterns using shapes
4, 8,16,32,….
Patterns using numbers
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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
10th term = 3(10) = 30
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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 = .50
.30 = .300.5 =.05
.3 = .003
? < .5
? =.1,.2,.3,.4,or .5
not equal to
less than or equal to
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The quotient of two numbers used to compare two qualities.
Ratio
3
5
Red chips
Blue chips
http://www.studyzone.org/mtestprep/math8/c/ratiol.cfm
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Resources
• Web Resources are listed at the bottom of each slide.
• Additional resources:– http://www.teachers.ash.org.au/jeather/
maths/dictionary.html
