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# From 06-07 DPI 4th grade indicators - PowerPoint PPT Presentation

From 06-07 DPI 4th grade indicators. Math Vocabulary. Goal 1. A real number that can be written as a positive or negative whole number, fraction, or decimal,. Rational Number. Expanded notation form. Picture Form. 300+20+6. Forms of Numbers. 326. Three hundred twenty-six. Written Form.

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### From 06-07 DPI 4th grade indicators

Math Vocabulary

A real number that can be written as a positive or negative whole number, fraction, or decimal,

Rational Number

Expanded whole number, fraction, or decimal, notation form

Picture Form

300+20+6

Forms of Numbers

326

Three hundred twenty-six

Written Form

Standard form

ten- thousands whole number, fraction, or decimal,

ones

hundreds

hundredths

thousands

tens

tenths

The position of a single digit in a whole number or decimal number containing one or more digits.

45,305.79

Place Value

http://mrsbogucki.com/aemes/resource/apps/placeval/placeval.htm

Blocks which show base 10 number values. whole number, fraction, or decimal,

Base Ten Blocks

http://www.arcytech.org/java/b10blocks/b10blocks.html

Blocks which show base 10 number values. whole number, fraction, or decimal,

Hundred Board

http://www.amblesideprimary.com/ambleweb/mentalmaths/interactivenumbergrids.html

Putting numbers together to make them easier to work with whole number, fraction, or decimal,

1 + 4 + 3 +7 + 6 + 8 + 9 + 2 = ?

10 + 10 + 10 + 10 = 40

Compose

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

Breaking a number apart to make it easier to work with. whole number, fraction, or decimal,

30 X 14

(30 X 10) + (30 X 4)

300 + 120 = 420

Decompose

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

An answer close to the exact answer. Usually found by rounding to the nearest 10 or 100.

366

370

400

http://www.myschoolhouse.com/courses/O/1/16.asp

product rounding to the nearest 10 or 100.

factors

A mathematical operation where a number is added to itself a number of times

http://www.arcytech.org/java/b10blocks/b10blocks.html

Multiply

http://www.harcourtschool.com/activity/mult/mult.html

Numbers that divide exactly into another number. rounding to the nearest 10 or 100.

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.aspx?id=12

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.tki.org.nz/r/wick_ed/maths/interactives_matrix.php

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

A set of objects or numbers arranged in rows and columns. of whole numbers.

array

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

Sharing or Grouping a number into equal parts. of whole numbers.

quotient

Divide

http://www.amblesideprimary.com/ambleweb/mentalmaths/dividermachine.html

Division Vocabulary of whole numbers.

Dividend Divisor Quotient

The Number being divided

A number that will divide the dividend

The result of a division

Divisibility Rules of whole numbers.

Amount left over after dividing a number of whole numbers.

Fair shares

** Dividing is Sharing Equally!**

Remainder

http://nlvm.usu.edu/en/nav/frames_asid_193_g_2_t_1.html

.5 = .50 of whole numbers.

.30 = .300

? < .5

? =.1,.2,.3,.4,or .5

.5 =.05

.3 = .003

equal to

less than or equal to

not equal to

Symbols used to determine relationships of equalities.

Equal to/not equal to

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

3 -Numerator of whole numbers.

7 -Denominator

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 of whole numbers.

4

Numerator: number of each part

Denominator: number of parts

1

2

fraction

2

Whole number

Fractions

7

3

Improper fraction

mixed number

http://www.visualfractions.com/MixtoFrCircle.html

1/2 = 3/6 of whole numbers.

Fractions that are the same or equal

Equal Portions

Equivalent Fractions

http://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

A fraction written as a decimal of whole numbers.

Decimal Fraction

http://www.amblesideprimary.com/ambleweb/mentalmaths/fracto.html

.1 of whole numbers.

.01

.001

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

A line on which numbers, decimals and fractions can be of whole numbers.comparedand ordered.

.8

2.25

.08

.08 < .8 .08 is less than .8

2.25 > .8 2.25 is greater than .8

Number Line

http://www.mathsonline.co.uk/freesite_tour/resource/whiteboard/decimals/dec_notes.html

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

Problem Solving Strategies of whole numbers.

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

Problem Solving Method of whole numbers.

Using a table/chart of whole numbers.

X

X

X

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

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

Guess and Check of whole numbers.

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.htm

Question: Laura has 3 green chips, of whole numbers.

4 blue chips and

1 red chip in her bag.

What fractional part

of the bag of chips is green?

Make a diagram/ picture

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

Make an organized list of whole numbers.

Question: Jill, Makayla and Tanya don’t 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

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

\

Work Backwards of whole numbers.

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?

2 12 4 = 2 + 12 + 4 = 18

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

Using a calculator of whole numbers.

http://edschool.csuhayward.edu/departments/ted/instruction/howe/5350/1-calculatorRiddles.html

Using Objects, models, representations of whole numbers.

http://nlvm.usu.edu/en/nav/frames_asid_273_g_2_t_4.html

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

Goal 2 problem.

Geo Board

http://nlvm.usu.edu/en/nav/frames_asid_172_g_2_t_3.html

A three sided polygon. and patterns.

Triangle

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

Regular Polygon

http://mathworld.wolfram.com/RegularPolygon.html

http://www.ul.ie/~cahird/polyhedronmode/regular.htm

Any four sided figure. are congruent.

Four sided figure, all sides equal, opposite sides parallel, and all right angles.

Square

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

Four sided figure. opposite sides equal lengths and parallel, all right angles

Rectangle

http://www.standards.dfes.gov.uk/primary/publications/mathematics/12874/nns_useict026000carroll.swf

Four sided figure. Opposite sides equal lengths and parallel parallel, all right angles

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://www.aplusmath.com/cgi-bin/games/geopicture

A ten sided polygon parallel, all right angles

Decagon

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

A parallel, all right angles

B

A line with two endpoints

Line Segment

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

A line with one endpoint parallel, all right angles

Ray

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

The Point at which two rays meet. parallel, all right angles

This triangle contains 3 vertices

Vertex

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

Two rays that meet at a vertex parallel, all right angles

Angle

Linear Measurements parallel, all right angles

Length

The measurement of the longest side of a figure.

Linear Measurements parallel, all right angles

Width

The measurement of the shortest side of a figure.

The parallel, all right anglesDIMENSIONS of this rectangle ar 4 inches long, and 3 inches wide.

To find the perimeter:

length + length+ width + width

4in + 4in + 3in + 3in= 12in

Hint:Plus all sides!

3 in

4 in

The measurement of all sides of a plane figure

Perimeter

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

http://www.funbrain.com/poly/

Length X Width parallel, all right angles

3in X 4in = 12 square inches

3 in

4 in

The measurement of square units needed to cover a figure.

Area

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

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

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

Length X Width parallel, all right angles

3in X 4in = 12 square inches

3 in

Each of these is a square unit.

4 in

units used to measure area

Square Units

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

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

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

Goal 3 parallel, all right angles

3 parallel, all right angles

2

1

(1,2)

0 1 2 3 4

A pair of numbers that gives the coordinates of a point on a grid

Ordered Pair

http://www.mathcats.com/crafts/grids.html

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

Coordinate Grid/ X-Y Chart

http://www.shodor.org/interactivate/activities/coords2/index.html

Diagonal

http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php

Intersect

http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php

Right Angle

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

Two lines, axis.equal distance apart that will never touch or intersect; non-intersecting lines

Parallel Lines

http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php

Perpendicular Lines

http://www.homeschoolmath.net/teaching/g/parallel_and_perpendicular.php

Plane

Transformations

http://www.harcourtschool.com/activity/icy_slides_flips_turns/

A mirror view axis.

Pre-image

(before)

-image

(after)

Reflection

http://regentsprep.org/Regents/Math/reflect/PracRefl.htm

l

Move or shift axis. an item in any direction without rotating it.

Also called a slide

Translation

http://regentsprep.org/Regents/Math/trans/PracTran.htm

To turn an object, usually axis.90 degrees or 180 degrees.

origin

Quarter turn- 90 degrees

Half turn- 180 degrees

Rotation

http://regentsprep.org/Regents/Math/rotate/PracRot.htm

http://www.utc.edu/Faculty/Christopher-Mawata/transformations/rotations/lesson1c.html

Clockwise

Counter Clockwise

The opposite direction of the way the hands on the clock go.

Goal 4 axis.

rows

columns

Table

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

IIII IIII IIII axis.

The number of times an event occurs; may use tally marks to record

tallies

Frequency

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

A diagram using circles or other shapes to show the relationship between sets

Guess the rule for this Venn Diagram

Venn Diagram

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

A horizontal number line on which each value of a set is denoted by an “x” over a value.

The number of x’s indicates how many times each score occurred

Line Plot

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

l

A graph that uses pictures to represent data. denoted by an “x” over a value.

title

Key

Pictograph

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

http://www.oswego.org/ocsd-web/quiz/mquiz.asp?filename=ccarrollgraph

title denoted by an “x” over a value.

labels

scale

Graph used to compare facts about groups and numbers that can be counted

Bar Graph

http://www.mcwdn.org/Graphs/BarGraph.html

This graph is similar to a regular bar graph, but it gives 2 pieces of information for each item , rather than just 1.

title

Fruit Sold at the Market

Scale

labels

Double Bar Graph

http://www.mathleague.com/help/data/data.htm

label pieces of information for each item , rather than just 1.

scale

interval

title

http://www.mcwdn.org/Graphs/LineGraph.html

A graph that shows change over time.

Line Graph

title pieces of information for each item , rather than just 1.

key

labels

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

93, 84, 97, 98, 100, 78, 86, 100, 85, 92 pieces of information for each item , rather than just 1.

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.

Median

http://regentsprep.org/Regents/math/mean/Pmeasure.htm

56, 66, 68, 73, 44, 62, 73, 44, 89, 55, 41, 73 pieces of information for each item , rather than just 1.

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

The number that occurs most in a set of data.

Mode

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

http://www.oswego.org/ocsd-web/match/matchgeneric.asp?filename=ccarrollmode

89,  73,  84,  91,  87,  77,  94 pieces of information for each item , rather than just 1.

73, 77, 84, 87, 89, 91, 94

94 – 73 = 21

21

Subtract the smallest number from the largest number in a set of data.

Range

http://www.quizville.com/range.php

The pieces of information for each item , rather than just 1. likelihood that an event will happen

Were there equal chances for both colors?

What color did the spinner land on?

Probability

http://www.mathgoodies.com/lessons/vol6/intro_probability.html

An pieces of information for each item , rather than just 1. event that occurs or happens.

Were there equal chances for both colors?

What color did the spinner land on?

Outcome

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

http://www.studyzone.org/testprep/math4/d/likelyl.cfm pieces of information for each item , rather than just 1.

An outcome that will probably occur or happen.

When spinning the spinner 10 times, where is the arrow likely to land most often? Less often?

What are the chances of the arrow landing on white?

Likely

Each outcome has the same chance of occurring pieces of information for each item , rather than just 1.

Equally Likely

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

An event that you think will occur or happen. pieces of information for each item , rather than just 1.

Which color is less likely?

What color do you think the arrow will land on?

Which color is more likely?

Prediction

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

What are the chances of the arrow landing on blue? pieces of information for each item , rather than just 1.

An outcome that will never occur or happen.

Impossible

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

Strategy for solving problems for pieces of information for each item , rather than just 1. determining outcomes: (Combinations and Permutations)

Using the digits 3,4 and 5. What are all the possible three digit numbers you could create?

Order matters in this problem. Different orders make different numbers.

• Steps:

• Determine whether or not order matters.

• Make an organized list of all possible outcomes.

• Use this sample set of possible outcomes to determine your answer.

345, 354

435, 453

534, 543

http://www.mathagonyaunt.co.uk/STATISTICS/ESP/Perms_combs.html

Goal 5 pieces of information for each item , rather than just 1.

An ordered set of numbers, shapes, or other mathematical objects, arranged according to a rule.

Pattern

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

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

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

Function Machine objects, arranged according to a rule.

A chart that shows a consistent rate of change.

T-chart

Input/Output chart

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

Equation/Expression

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

Each side of the = symbol must balance

Variable

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

http://www.vectorkids.com/vkvariable.htm

The expression.variable represents the number you are solving to find, termed as the…

X + 3 = 7

“X” or some other symbol is used to represent the unknown

Unknown

http://nlvm.usu.edu/en/nav/frames_asid_201_g_4_t_2.html

Order of Operations

http://www.mathgoodies.com/lessons/vol7/order_operations.html

http://www.scweb4free.com/oper.html

Resources expression.

• Web Resources are listed at the bottom of each slide.