2003 MATHEMATICS NCSCOS Grade 3 Indicators

The learner will model, identify, and compute with whole numbers through 9,999.

Forms of Numbers Expanded notation form Three hundred twenty-six Word 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 5,305 ones thousands hundreds tens

Blocks which show base 10 number values. Base Ten Blocks

A diagram using circles or other shapes (i. e. rectangles) to show the relationship between sets Venn Diagram Guess the rule for this Venn Diagram

Putting numbers together. Add = 51 Sum Addends

Putting numbers together to make them easier to use = ? = 40 Compose

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

Subtract To take numbers apart 95 – 36 = 59 Difference

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

Sharing or Grouping a number into equal parts Divide Repeated Subtraction: =0 quotient

Guess how many gumballs are in the jar! The use of rounding and/or other strategies to make an educated guess or reasonably accurate approximation. Estimate

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

Less Than/Greater Than Symbol used to compare relationships of inequalities. Symbol used to compare numbers

Equal to/not equal to Symbols used to determine relationships of equalities. equal to 5 = 5 30 = = 5 17 = ? < 5 ? = 1,2,3,4,5 not equal to less than or equal to

Combining numbers of multiple groups Multiply Groups or sets ** Multiplying is repeated addition** 4 X 2 =

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

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

Numbers that result 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

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

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

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

Equal parts of a whole or group written with a numerator and a denominator. Fraction 3 -Numerator 7 -Denominator Shaded region/area Un-shaded region/area

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

Having the same amount or value; the state of being equal. Equivalent

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

A line on which numbers, and fractions can be compared and ordered. Number Line ½ 1¾ 3¼ ½ < 1¾ ½ is less than 1¾ 3¾ > 1¾ 3¾ is greater than 1¾

Order of Operations The order in which operations should be done. No exponents in Grade 3!!

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 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? = =18

Using a calculator

Using objects, models, representations

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

Use of standard units to find out size or quantity in regard to length, weight, capacity, temperature and time. Measure

The system of measurement used in the United States Customary System

The system of measurement used in most countries of the world Metric System

Beans Candy Steps Counters Non- Standard Units Inches Grams Gallons Degrees Standard Units

Units of length, width and distance in the customary system. Inches, Feet, Yards, Miles 12in = 1 ft 3 ft = 1 yd 5280 ft = 1 mi Customary Units of Linear Measurement:

Units of length, width and distance in the metric system. centimeter, meter, kilometer 100cm = 1m 1000 m = 1 km Metric Units of Linear Measurement: Ruler- tool of linear measurement

Tools for Linear Measurement Yard Stick- length of one yard Trundle Wheel- measure long distances Ruler- length of one foot Meter Stick- Length of one meter Tape Measure- measure length and width

The measurement of the longest side of a figure. 4 ft 12 ft How long is this figure?

The measurement of the shortest side of a figure. 4 ft 12 ft How wide is this figure?

The measurement of the tallest side of a figure.

Tools for Mass Measurement Scale Weights Balance

The amount of matter an object contains. Mass

Units of weight (or mass) in the customary system. ounce and pound 16 oz = 1lb Customary Units of Mass Measurement:

Units of weight (or mass) in the metric system. gram and kilogram 1000g = 1kg Metric Units of Mass Measurement:

The amount of liquid or poured solid a container will hold. Capacity 1 liter

Units of capacity in the customary system. cup, pint, quart, gallon G Q Q Q Q PP cc 2 c = 1 pt 2 p = 1 qt 4 qt = 1 gal cc Customary Units of Capacity Measurement:

Unit of capacity in the metric system. liter ml = 1 L 1 L 1 ml Metric Units of Capacity Measurement:

The measure of warmth or coldness. Temperature Customary- measured in degrees Fahrenheit Metric- measured in degrees Celsius Tool used for measuring Temperature: Thermometer- Unit of temperature measurement: Degrees

Increase or decrease in temperature Rising/Falling Rising Temperature- increase in temperature Falling Temperature- decrease in temperature Intervals/increments: distance between numbers on the scale of the thermometer

Commonly known temperatures to refer to. Benchmark Temperatures Body Temperature degrees Room Temperature: 70° Fahrenheit

Units of Time Seconds: Smallest unit of time Days: 24 hours Hours: 60 minutes Minute: 60 seconds Years: 365 days Months: days Divide to convert to larger units Multiply to convert to smaller units

Analog Clock Digital Clock

Telling Time Quarter hour Quarter past 15 Minutes after Half past Half hour Quarter till 15 minutes until 15 minutes before

Elapsed Time Measuring the amount of time that has passed Starting Time Ending Time What is the estimated elapsed time between the starting time and the ending time on the clocks? What is the exact elapsed time between the starting time and the ending time on the clocks?

Duration of Time Intervals of Time- MorningAfternoon ??

The learner will recognize and use basic geometric properties of two- and three- dimensional figures.

Any 2-dimensional (flat) shape Plane Figures

A closed plane figure with three or more sides. Polygon A plane shape with many sides. A CIRCLE IS NOT ONE OF THESE These are FLAT shapes:

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

A polygon for which all sides and all angles are not congruent. Irregular Polygon

Shapes that are the same shape and the same size Congruent Shapes

When a straight line is drawn through a shape so that the two halves are congruent. Symmetry Line of symmetry

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

An angle with a measure of more than 90 degrees, but less than 180 degrees. Obtuse Angle 110 o 35 o

A three sided polygon. Triangle This shape has 3 sides.

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 A six sided figure Hexagon An eight sided figure Octagon Four sided figure; top and bottom sides parallel Trapezoid A five sided figure Pentagon

A ten sided polygon Decagon

A line with two endpoints Line Segment AB end points

A line with one endpoint Ray

The point at which two rays meet. Vertex This shape has 3 vertices.

Two lines that will never touch or intersect because they are the same distance apart. Parallel Lines

Any 3-dimensional shapes that take up space Solid Figures These are 3-D shapes! These are also called polyhedrons.

One of the plane polygon shapes on a solid shape. Face

Where two faces meet on a solid shape. Edge

Where two edges meet on a solid shape. Corner

The flat circle shaped bottom of cylinders and cones Base

Solid Figures Prism Sphere Cylinder Cone Pyramid Cube Have faces, edges, and corners Have 2, 1, or zero circle bases

Solid Figures Pentagonal Hexagonal Decagonal Octagonal Have faces, edges, and corners

A pair of numbers that gives the coordinates of a point on a grid Ordered Pair (1, 2) Ordered pairs are found on a coordinate grid point “ x “ and “ y ” x axis y axis

A description of a line that forms between two points on a line. Path l Describe a path (along grid lines) between (1, 1) and (2, 2) Diagonal up Describe a path (along grid lines) between (1, 1) and (4, 1) Horizontal Right Horizontal East

The learner will understand and use data and simple probability concepts.

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

Used for collecting data Table

A graph that uses pictures to represent data. Pictograph Key

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

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

A method of collecting a sample of data by asking people questions. Survey

A diagram using circles or other shapes (i.e. rectangles) to show the relationship(s) between sets Venn Diagram Guess the rule for this Venn Diagram

Strategy for solving problems for determining outcomes: 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.

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?

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?

An outcome that will always occur or happen. Certain What are the chances of the arrow landing on orange?

The learner will recognize, determine, and represent patterns and simple mathematical relationships.

The first three numbers of a pattern which show the pattern’s rule Pattern Core/Unit 50,75,45,70 Rule: +25, -30, 18 th number: 35 18th

Mathematical sentence written in numerals and mathematical symbols. Number Sentence

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

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

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

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