Grade 3

 

 

Mathematics

 

 

I.      NUMBERS AND NUMBER SENSE

á       Read and write numbers (in digits and words) up to six digits.

á       Recognize place value up to hundred thousands.

á       Order and compare numbers to 999,999, using the signs <, >, and =.

á       Count by twos, threes, fives and tens; count by tens from any given number.

á       Write numbers in expanded form.

á       Use a number line.

á       Identify ordinal position, 1st to 100th.

á       Review: even and odd numbers; dozen; half-dozen; pair.

á       Round to the nearest ten; to the nearest hundred.

á       Identify perfect squares (and square roots) to 100, and recognize the square root sign.

á       Identify Roman numerals from 1 to 20 (I – XX).

á       Understand what negative numbers are in relation to familiar uses (such as temperatures below zero).

á       Locate positive and negative whole numbers on a number line.

á       Create and interpret bar graphs and line graphs.

á       Record outcomes for a simple event (for example, tossing a die) and display the results graphically.

 

II. FRACTIONS AND DECIMALS

á       Recognize fractions to 1/10.

á       Identify numerator and denominator.

á       Write mixed numbers.

á       Recognize equivalent fractions (for example, ½ = 3/6).

á       Compare fractions with like denominators, using the signs <, >, and =.

á       Know and write decimal equivalents to ¼, ½, and ¾.

á       Read and write decimals to the hundredths.

 

III. MONEY

á       Write amounts of money using $ and ¢ signs, and the decimal point.

á       Make change, using as few coins as possible.

á       Add and subtract amounts of money.

á       Multiply and divide amounts of money by small whole numbers.

 

 

IV. COMPUTATION

Children should know their basic addition and subtraction facts. They will be reviewed and reinforced as necessary to ensure mastery.

 

A.    ADDITION

á       Review and practice basic addition facts.

á       Mentally estimate a sum.

á       Use mental computation strategies.

á       Addition with and without regrouping: find a sum (up to 10,000) of any two whole numbers.

 

 

B.    SUBTRACTION

á       Understand addition and subtraction as inverse operations; use addition to check subtraction.

á       Review and practice basic subtraction facts.

á       Mentally estimate the difference.

á       Use mental computation strategies.

á       Subtraction with and without regrouping: given two whole numbers of 10,000 or less, find the difference.

 

C.  MULTIPLICATION

á       Master basic multiplication facts to 10 x 10.

á       Mentally multiply by 10, 100 and 1,000.

á       Multiply two whole numbers, with and without regrouping, in which one   

      factor is 9 or less and the other is a multi-age number up to three digits.

á       Write numbers in expanded form using multiplication, for example,

      9,278 = (9 x 1,000) + (2 x 100) + (7 x 10) + 8.

á       Estimate a product.

á       Solve word problems involving multiplication.

 

D.  DIVISION

á       Understand multiplication and division as inverse operations.

á       Know the meaning of dividend, divisor, and quotient.

á       Know basic division facts to 100 Ö10.

á       Know that you cannot divide by 0.

á       Know that any number divided by 1 = that number.

á       Divide two- and three-digit dividends by one-digit divisors.

á       Solve division problems with remainders.

á       Check division by multiplying (and adding remainder).


E. SOLVING PROBLEMS AND EQUATIONS

á       Solve two-step word problems.

á       Solve equations in the form of ___ x 9 = 63; 81 Ö ___ = 9.

á       Solve problems with more than one operation, as in

      (43-32) x (5 + 3) = ____.

á       Read and write expressions that use parentheses to indicate order of multiple  

       operations.

 

I.      MEASUREMENT

 

        A. LINEAR MEASURE      

á       Make linear measurements in yards, feet and inches; and in centimeters and meters.

á       Know that one foot = 12 inches; one yard = 36 inches; 3 feet = 1 yard; 1 meter = 100 centimeters; 1 meter is a little more than one yard.

á       Measure and draw line segments in inches (to ¼ inch) and in centimeters.

á       Estimate linear measurements, then measure to check estimates.

 

B. WEIGHT (MASS)

á       Compare weights of objects using a balance scale.

á       Estimate and measure weight in pounds and ounces; grams and kilograms.

á       Know abbreviations: lb., oz., g, and kg.

 

      C.  CAPACITY (VOLUME)

á       Estimate and measure liquid capacity in cups, pints, quarts, gallons, and liters.

á       Know that 1 quart = 2 pints; 1 gallon = 4 quarts.

á       Compare U.S. and metric liquid volumes: quart and liter (one liter is a little more than one quart).

 

D. TEMPERATURE

á      Measure and record temperatures in degrees Fahrenheit and Celsius.

á      Know the degree sign: ¼

á       Identify freezing point of water as 32¼ F = 0¡ C.

 

E. TIME

á       Read a clock face and tell time to the minute as either A.M. or P.M.; tell time in terms of both Òminutes beforeÓ and Òminutes afterÓ the hour.

á       Solve problems on elapsed time (how much time has passed?).

á       Using a calendar, identify the date, day of the week, month and year.

á       Write the date using words (for name of month) and numbers, and only numbers.

 

II.      GEOMETRY

á     Identify lines as horizontal, vertical, perpendicular or parallel.

á     Name lines and line segments (for example, line AB; segment CD).

á     Polygons recognize vertex (plural: vertices); identify sides as line segments (for example, side CD); identify pentagon, hexagon and octagon (regular).

á     Identify angles by letter names (for example, Ð ABC); identify a right angle; know that there are four right angles in a square or rectangle.

á     Compute area in square inches and square centimeters.

á     Recognize and draw congruent figures; identify a line of symmetry and create symmetric figures.

á     Identify solid figures: sphere, cube, rectangular solid, pyramid, cone, and cylinder.