CCS 2007 From 06-07 DPI 5 th grade indicators. CCS 2007 A real number that can be written as a...
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Transcript of CCS 2007 From 06-07 DPI 5 th grade indicators. CCS 2007 A real number that can be written as a...
CCS 2007
From 06-07 DPI 5th grade indicators
CCS 2007
A real number that can be written as a positive or negative whole number,
fraction, or decimal,
Rational Number
CCS 2007
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 Valuehttp://mrsbogucki.com/aemes/resource/apps/placeval/placeval.htm
145,305.791Hundred- thousands
ten- thousands
ones
thousands
hundreds
tens tenths
hundredths
thousandths
CCS 2007
Arranged from smallest to largest
Ascending Orderhttp://www.studyzone.org/testprep/math4/e/decorderl.cfm
CCS 2007
Arranged from largest to smallest
Descending Order
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
Units of length, width and distance in the metric system.
centimeter, meter, kilometerhttp://www.metricamerica.com/centimetre.htm
100cm = 1m
1000 m = 1 km
CCS 2007
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
CCS 2007
Units of weight (or mass) in the metric system.
gram and kilogram
1000g = 1kg
http://www.studyzone.org/testprep/math4/d/metgraml.cfm
CCS 2007
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
CCS 2007
Tool used to measure angles
Protractorhttp://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html
http://www.enchantedlearning.com/math/label/protractor/
CCS 2007
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
CCS 2007
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
CCS 2007
An angle less than 90 degrees
Acute Angle
60
60
60
http://www.mathsnet.net/shape/category2.html
CCS 2007
Two angles that share a common side
Adjacent Angles
130 50
http://www.mathwords.com/a/adjacent_angles.htm
CCS 2007
Angle Notation
ABC=
A
B C
Symbol used to identify an angle
CCS 2007
Two adjacent angles that total 180 degrees
Supplementary Angles
130 50
http://www.mathsisfun.com/geometry/supplementary-angles.htmlhttp://www.mathopenref.com/anglesupplementary.html
CCS 2007
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
CCS 2007
Angles that have the same measure.
Congruent Angleshttp://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm
45
45
CCS 2007
When sides of a shape are equal in length
Congruent Sides
These markings indicate congruent sides
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
A polygon for which all sides and all angles are not congruent.
Irregular Polygonhttp://www.ul.ie/~cahird/polyhedronmode/irregula.htm
CCS 2007
Any four sided figure.
Quadrilateralhttp://regentsprep.org/Regents/math/quad/LQuad.htm
CCS 2007
A line with two endpoints
Line Segmenthttp://www.pinkmonkey.com/studyguides/subjects/geometry/chap1/g0101201.asp
A B
Midpoint
CCS 2007
A line with one endpoint
Rayhttp://www.mathleague.com/help/geometry/basicterms.htm#rays
CCS 2007
The Point at which two rays meet.
Vertexhttp://mathworld.wolfram.com/VertexAngle.html
CCS 2007
Two rays that meet at a vertex
Anglehttp://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm
CCS 2007
Sides or angles immediately next to each other.
Adjacenthttp://www.kidport.com/Grade5/Math/MeasureGeo/MeasuringAngles.htm
CCS 2007
To divide into two equal sections; to cut in half.
Bisect
CCS 2007
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
CCS 2007
Lines that intersect at right angles to each other.
Perpendicular Lineshttp://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php
CCS 2007
A line joining two non-adjacent vertices of a polygon.
Diagonalhttp://www.math.fau.edu/Richman/Liberal/polydiag.htm
CCS 2007
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
CCS 2007
Four sided figure. opposite sides equal lengths and parallel, all right
angles
Rectangle
CCS 2007
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.
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
two types of trapezoids
Right Trapezoid
Two right angles
Isosceles Trapezoid
No right angles
Two congruent sides
CCS 2007
A ten sided polygon
Decagonhttp://www.ul.ie/~cahird/polyhedronmode/decagon.htm
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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.
CCS 2007
Collection of information often organized on graphs or charts for analysis.
Datahttp://www.studyzone.org/testprep/math4/d/graphdatal.cfm
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
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 x’s indicates how many
times each score occurred
http://www.studyzone.org/testprep/math4/d/rangel.cfm
l
CCS 2007
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
CCS 2007
Is used to compare facts about groups and numbers that can be counted
Bar Graphhttp://www.mcwdn.org/Graphs/BarGraph.html
labelstitle
scale
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
A mathematical sentence where the left side equals the right side.
Equationhttp://www.studyzone.org/testprep/math4/d/numericalp.cfm
CCS 2007
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
CCS 2007
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
CCS 2007
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
CCS 2007
Geometric Pattern
Pattern Types
Numeric PatternPatterns using shapes
4, 8,16,32,….
Patterns using numbers
CCS 2007
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
CCS 2007
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
CCS 2007
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