2003 MATHEMATICS NCSCOS Grade 5 Indicators

1
2003 MATHEMATICS NCSCOSGrade 5 Indicators
Math Vocabulary by Goal
2
Goal 1

• The learner will understand and compute
• with nonnegative rational numbers.

3
A real number that can be written as the ratio of
two integers (positive or negative whole number,
fraction, or decimal)

Rational Number
4
Expanded notation form
Picture Form
300206
Forms of Numbers
1,111
326
Three hundred twenty-six
Word Form
Standard form
http//www.aaamath.com/plc31d-placevalue-add.html
5
The position of a single digit in a whole number
or decimal number containing one or more digits.
145,305.791
Place Value
http//mrsbogucki.com/aemes/resource/apps/placeval
/placeval.htm
6
Arranged from smallest to largest

Ascending Order
http//www.studyzone.org/testprep/math4/e/decorder
l.cfm
7
Arranged from largest to smallest

Descending Order
8
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
9
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.as
px?id12
10
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
11
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
12
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/greaterl
essthanl.cfm
13
Symbols used to determine relationships of
equalities.
Equal to/not equal to
http//www.studyzone.org/testprep/math4/k/greaterl
essthanl.cfm
14
Equal parts of a whole or group written with a
numerator and a denominator.
Fraction
http//math.rice.edu/lanius/fractions/
15
Fractions
7 3
Improper fraction
mixed number
http//www.visualfractions.com/MixtoFrCircle.html
16
Fractions that are the same or equal
Equivalent Fractions
http//www.learningplanet.com/sam/ff/index.asp ht
tp//www.shodor.org/interactivate/activities/fracs
orter/index.html
17
Numbers written in standard form to show a value
less than 1.
one-tenth
one-hundredth
one-thousandth
Decimal
http//www.321know.com/cmp42bx2.htm
18
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.
20
Using a table/chart
X
X
X
http//www.studyzone.org/testprep/math4/k/chartpro
bl.cfm http//www.mathstories.com/strategies_makea
table.htm
21
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.h
tm
22
Make a diagram/ picture
http//www.mathstories.com/strategies_drawpicture.
htm
23
Make an organized list
Question Jill, Makayla and Tanya dont 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.ht
m \
24
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_back
ward.htm
25
Using a calculator
Calculator Riddles From DPI
http//community.learnnc.org/dpi/math/archives/200
5/06/problem_solving.php
26
Using objects, models, representations
http//nlvm.usu.edu/en/nav/frames_asid_273_g_2_t_4
.html
27
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
28
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/commutat
ivep.cfm
29
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/commutat
ivep.cfm
30
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.h
tml
31
Goal 2

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

32
Units of capacity in the metric system.
liter
http//www.metricamerica.com/litre.htm
33
Units of capacity in the customary system.
cup, pint, quart, gallon
http//www.edhelper.com/math/capacity_fg1943.htm
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Benchmark/landmark

Benchmark Comparisons for Metric and Customary Measurements 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 lt in
m gt yd
km ltmi
kg gt lb
L gt qt
http//www.mathcats.com/explore/convert.html
35
Units of length, width and distance in the metric
system.
centimeter, meter, kilometer
http//www.metricamerica.com/centimetre.htm
36
Units of length, width and distance in the
customary system.
Inches, Feet, Yards, Miles
http//www.funbrain.com/measure/
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Benchmark/landmark

Benchmark Comparisons for Metric and Customary Measurements 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 lt in
m gt yd
km ltmi
kg gt lb
L gtqt
http//www.aaamath.com/B/mea69_x2.htm
38
Units of weight (or mass) in the metric system.
gram and kilogram
http//www.studyzone.org/testprep/math4/d/metgraml
.cfm
39
Units of weight (or mass) in the customary system.
ounce, pound, and ton
http//www.edhelper.com/math/length_weight_fg2255.
htm
40
Benchmark/landmark

Benchmark Comparisons for Metric and Customary Measurements 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 lt in
m gt yd
km ltmi
kg gt lb
L gtqt
41
Tool used to measure angles
Protractor
http//www.amblesideprimary.com/ambleweb/mentalmat
hs/protractor.html http//www.enchantedlearning.co
m/math/label/protractor/
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Two segments that meet to form a 90 degree angle.
Right Angle
http//www.icteachers.co.uk/children/sats/triangle
s.htm http//www.mathsnet.net/shape/category1.html
43
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/palm
asola/mathlabtutan1b.htm http//www.toonuniversity
.com/6m_angle_d.html
44
An angle less than 90 degrees
Acute Angle
http//www.mathsnet.net/shape/category2.html
45
Two angles that share a common side
Adjacent Angles
http//www.mathwords.com/a/adjacent_angles.htm
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Symbol used to identify an angle
A

ABC
C
B
Angle Notation
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Two adjacent angles whose sum is 180 degrees
Supplementary Angles
http//www.mathsisfun.com/geometry/supplementary-a
ngles.html http//www.mathopenref.com/anglesupplem
entary.html
48
Two adjacent angles whose sum is
90 degrees
Complementary Angles
http//www.mathwarehouse.com/geometry/angle/comple
mentary-angles.php http//www.mathopenref.com/angl
ecomplementary.html
49
Angles that have the same measure.
Congruent Angles
http//www.kidport.com/Grade5/Math/MeasureGeo/Meas
uringAngles.htm
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Goal 3

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

51
When sides of a shape are equal in length
Congruent Sides
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All three sides of this triangle are congruent.
Equilateral Triangle
http//www.factmonster.com/ipka/A0876325.html http
//www.amblesideprimary.com/ambleweb/sketchpad/equ
ilateral.htm http//library.thinkquest.org/20991/t
extonly/quizzes/geo/q4/p1.html
53
This triangle has two congruent sides.
Isosceles Triangle
http//www.homeschoolmath.net/gy/equilateral_isosc
eles.php http//www.amblesideprimary.com/ambleweb/
sketchpad/isosco.htm
54
This triangle has no congruent sides
Scalene Triangle
http//www.amblesideprimary.com/ambleweb/sketchpad
/scalene.htm http//www.mathsisfun.com/triangle.ht
ml
55
A polygon for which all sides are congruent and
all angles are congruent.
Regular Polygon
56
A polygon for which all sides and all angles are
not congruent.
Irregular Polygon
57
Any four sided figure
Quadrilateral
http//regentsprep.org/Regents/math/quad/LQuad.htm

58
A line with two endpoints
Midpoint
Line Segment
http//www.pinkmonkey.com/studyguides/subjects/geo
metry/chap1/g0101201.asp
59
A line with one endpoint
Ray
http//www.mathleague.com/help/geometry/basicterms
.htmrays
60
The point at which two rays meet.
Vertex
61
Two rays that meet at a vertex
Angle
http//www.kidport.com/Grade5/Math/MeasureGeo/Meas
uringAngles.htm
62
Sides or angles immediately next to each other.
Adjacent
http//www.kidport.com/Grade5/Math/MeasureGeo/Meas
uringAngles.htm
63
To divide into two equal sections to cut in
half.
Bisect
64
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
65
Lines that intersect at right angles to each
other.

Perpendicular Lines
http//www.homeschoolmath.net/teaching/g/parallel_
and_perpendicular.php
66
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
67
A line joining two non-adjacent vertices of a
polygon.
Diagonal
http//www.math.fau.edu/Richman/Liberal/polydiag.h
tm
68
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.h
tmrighttriangle
69
Four sided figure opposite sides equal lengths
and parallel all right angles
Rectangle
70
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 htt
p//www.standards.dfes.gov.uk/primary/publications
/mathematics/12874/nns_useict026000carroll.swf
71
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
72
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/geopi
cture
73
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
74
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 8
Sum of int. angles 180º 360º 540º 720º 900º 1080º
180 180 180 180 180
75
two types of trapezoids

Two right angles
No right angles Two congruent sides
Right Trapezoid
Isosceles Trapezoid
76
A ten sided polygon

Decagon
77
When a straight line is drawn through a shape so
that the two halves are congruent.
Symmetry
http//library.thinkquest.org/J002441F/symmetry.ht
m
78
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/geome
try/session7/part_b/index.html
79
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/sy
mturns5p.cfm
80
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.

81
Goal 4

• The learner will understand and use
• graphs and data analysis.

82
Collection of information often organized on
graphs or charts for analysis.
Data
http//www.studyzone.org/testprep/math4/d/graphdat
al.cfm
83
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
84
The number that occurs most in a set of data.
Mode
85
Subtract the smallest number from the largest
number in a set of data.
Range
http//www.mathgoodies.com/lessons/vol8/range.html
http//www.quizville.com/range.php
86
A way to arrange data with the tens on the left
and the ones listed on the right.
Stem and Leaf Plot
http//regentsprep.org/Regents/math/data/stemleaf.
htm http//www.shodor.org/interactivate/activities
/stemleaf/index.html
87
Used to find coordinates for ordered pairs for
the X and Y axis.
Coordinate Grid/ X-Y Chart
http//www.shodor.org/interactivate/activities/pco
ords/index.html http//www.shodor.org/interactivat
e/activities/coords2/index.html
88
A horizontal number line on which each value of a
set is denoted by an x over a value.

The number of xs indicates how many times each
score occurred.
Line Plot
http//www.studyzone.org/testprep/math4/d/rangel.c
fm l
89
A graph that uses pictures to represent data.

Key
Pictograph
http//www.studyzone.org/testprep/math4/d/graphdat
al.cfm

90
Shows change over time will have months, days or
other time words in the problem.
Line Graph
91
Is used to compare facts about groups and numbers
that can be counted
Bar Graph
http//www.mcwdn.org/Graphs/BarGraph.html
92
Compares parts to the whole decimals and
fractions may be used on this graph
Circle Graph
http//www.mcwdn.org/Graphs/CirclePieQuiz.html
93
The number of times an event occurs may use
tally marks to record
tallies
Frequency
http//www.studyzone.org/testprep/math4/d/tablesta
llyl.cfm
94
Goal 5

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

95
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.h
tml http//www.vectorkids.com/vkvariable.htm
96
Contains at least one variable as well as other
numbers and/or operations.
10
16
5
20
20
100
Algebraic Expression
http//mathsnet.net/algebra/l2_equation.html l
97
A mathematical sentence where the left side
equals the right side.
Equation
http//www.studyzone.org/testprep/math4/d/numerica
lp.cfm
98
A chart that shows a consistent rate of change.
T-chart
Input/Output chart
http//www.studyzone.org/testprep/math4/k/addpatte
rnsl.cfm http//www.shodor.org/interactivate/activ
ities/NumberCruncher/
99
The variable represents the number you are
solving to find, termed as the
Unknown
http//nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2
.html
100
An ordered set of numbers, shapes, or other
mathematical objects, arranged according to a
rule.
Pattern
http//www.studyzone.org/testprep/math4/i/dpattern
sl.cfm http//www.studyzone.org/testprep/math4/k/p
atternsl.cfm http//www.studyzone.org/testprep/mat
h4/k/patternsp.cfm
101
Pattern Changes
Constant Change
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
102
Pattern Types
Geometric Pattern
Patterns using shapes
Numeric Pattern
4, 8,16,32,.
Patterns using numbers
103
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
104
Symbols used to determine relationships of
equalities.
Equal to/not equal to
http//www.studyzone.org/testprep/math4/k/greaterl
essthanl.cfm
105
The quotient of two numbers used to compare two
quantities.
Ratio
http//www.studyzone.org/mtestprep/math8/c/ratiol.
cfm
106
Resources

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