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