2003 MATHEMATICS NCSCOS Grade 4 Indicators

The learner will read, write, model, and compute with non- negative rational numbers.

A real number that can be written as a positive or (negative) whole number, fraction, or decimal. Rational Number

Forms of Numbers Expanded notation form Three hundred twenty-six Written Form 326 Standard form Picture Form 1,111

The position of a single digit in a whole number or decimal number containing one or more digits. Place Value 45, ten - thousands ones thousands hundreds tenstenths hundredths

Blocks which show base 10 number values. Base Ten Blocks

Blocks which show base 10 number values. Hundred Board

Compose Putting numbers together to make them easier to work with = ? = 40

Breaking a number apart to make it easier to work with. 30 X 14 Decompose (30 X 10) + (30 X 4) = 420

An answer close to the exact answer--often found by rounding to the nearest 10 or 100. Approximately/About

A mathematical operation where a number is added to itself a number of times Multiply factors product Repeated Addition

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

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

array A set of objects or numbers arranged in rows and columns. ogs/default.htm

Sharing or Grouping a number into equal parts. Divide quotient

Division Vocabulary The Number being divided A number that will divide the dividend The result of a division Dividend Divisor Quotient

Divisibility Rules

Amount left over after dividing a number Remainder Fair shares ** Dividing is Sharing Equally!**

Equal to/not equal to Symbols used to determine relationships of equalities. equal to.5 = = =.05.3 =.003 ? <.5 ? =.1,.2,.3,.4,or.5 not equal to less than or equal to

Equal parts of a whole or group written with a numerator and a denominator. Fraction 3 -Numerator 7 -Denominator

Whole number fraction Fractions Numerator: number of each part Denominator: number of parts Improper fraction mixed number

Fractions that are the same or equal Equivalent Fractions ml 1/2 = 3/6 Equal Portions

A fraction written as a decimal Decimal Fraction to.html

Numbers written in standard form to show a value less than 1. Decimal one-tenth one-hundredth

A line on which numbers, decimals and fractions can be compared and ordered. Number Line <.8.08 is less than > is greater than.8

Problem Solving Strategies

Problem Solving Method Look Back Justify, prove, evaluate or explain the reasonableness of your answer.

Using a table/chart X X X

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

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?

Make an organized list 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 Answer

Work Backwards The castle kitchen servants 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 servants bring into the feast at the beginning? = =18

Using a calculator m_solving.php Calculator Riddles From DPI

Using objects, models, representations

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?

The learner will understand and use perimeter and area.

A peg-board on which elastic bands are used to make shapes and patterns. Geo Board

A three sided polygon. Triangle

A polygon for which all sides are congruent and all angles are congruent. Regular Polygon

Any four sided figure. Quadrilateral

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

Four sided figure; opposite sides equal lengths and parallel; all right angles Rectangle

Four sided figure. Opposite sides equal lengths and parallel Parallelogram 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

A ten sided polygon Decagon

A line with two endpoints Line Segment AB

A line with one endpoint Ray

The point at which two rays meet. Vertex This triangle contains 3 vertices.

Two rays that meet at a vertex Angle

The measurement of the longest side of a figure.

The measurement of the shortest side of a figure.

The measurement of all sides of a plane figure Perimeter 3 in 4 in The DIMENSIONS of this rectangle are 4 inches long and 3 inches wide. To find the perimeter: length + length+ width + width 4in + 4in + 3in + 3in= 12in Hint: P lus all sides!

The measurement of square units needed to cover a figure. Area 3 in 4 in Length X Width 3in X 4in = 12 square inches

Units used to measure area Square Units in 4 in Length X Width 3in X 4in = 12 square inches Each of these is a square unit.

The learner will recognize and use geometric properties and relationships.

A pair of numbers that gives the coordinates of a point on a grid Ordered Pair (1,2)

Coordinate Grid/ X-Y Chart Used to find coordinates for ordered pairs for the X and Y axes.

Quadrant Any quarter of a plane divided by an X and Y axis.

A line joining two non-adjacent vertices of a polygon. Diagonal

When lines cross over one another Intersect

Two perpendicular lines which form a 90 degree angle. Right Angle

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

Lines that intersect at right angles to each other. Perpendicular Lines

Any 2-dimensional (flat) area Plane

A change in position or size Transformations

A mirror view Reflection l Pre-image (before) -image (after)

Move or shift an item in any direction without rotating it. Translation Also called a slide

To turn an object, usually 90 degrees or 180 degrees. Rotation origin Half turn- 180 degrees Quarter turn- 90 degrees

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.

The learner will understand and use graphs, probability, and data analysis.

Used to collect and organize data Table rows columns

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

A diagram using circles or other shapes to show the relationship between sets Venn Diagram Guess the rule for this Venn Diagram

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 l

A graph that uses pictures to represent data. Pictograph key title

Graph used to compare facts about groups and numbers that can be counted Bar Graph labels title scale

This graph is similar to a regular bar graph, but it gives 2 pieces of information for each item, rather than just 1. Double Bar Graph Fruit Sold at the Market scale title labels

interval label title scale A graph that shows change over time. Line Graph

A graph that compares parts to the whole; decimals and fractions may be used on this graph. Circle Graph key title labels

93, 84, 97, 98, 100, 78, 86, 100, 85, 92 78, 84, 85, 86, 92, 93, 97, 98, 100, = / 2 = The middle number in a set of data; must put numbers in order from least to greatest first. Median

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 73

Subtract the smallest number from the largest number in a set of data. Range 89, 73, 84, 91, 87, 77, 94 73, 77, 84, 87, 89, 91, – 73 = 21 21

The likelihood that an event will happen Probability What color did the spinner land on? Was this one of the favorable choices? Were there equal chances for both colors?

An event that occurs or happens. Outcome What color did the spinner land on? Was this one of the favorable choices? Were there equal chances for both colors?

An outcome that will probably occur or happen. Likely What are the chances of the arrow landing on white? When spinning the spinner 10 times, where is the arrow likely to land most often? Less often? Is your answer certain or uncertain?

Each outcome has the same chance of occurring Equally Likely

An event that you think will occur or happen. Prediction What color do you think the arrow will land on? Which color is less likely? Which color is more likely?

An outcome that will never occur or happen. Impossible What are the chances of the arrow landing on blue?

Steps: 1. Determine whether or not order matters. 2.Make an organized list of all possible outcomes. 3. Use this sample set of possible outcomes to determine your answer. Using the digits 3,4 and 5. What are all the possible three digit numbers you could create? 345, , , 543 Answer- 6 Order matters in this problem. Different orders make different numbers. Strategy for solving problems for determining outcomes: (Combinations and Permutations)

The learner will demonstrate an understanding of mathematical relationships.

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

Input/Output chart A chart that shows a consistent rate of change. Function Machine T-chart

A mathematical sentence where the left side equals the right side. Equation

A letter or symbol that represents a number in an algebraic expression. Variable Each side of the = symbol must balance

Unknown The variable represents the number you are solving to find, termed as the… “X” or some other symbol is used to represent the unknown

Order of Operations The order in which operations should be done.

Resources Web resources are listed at the bottom of each slide. Additional resources: –NCDPI Math Glossary ssarySP.pdfhttp://community.learnnc.org/dpi/math/archives/Glo ssarySP.pdf –Houghton Mifflin Math