Place value chart 2 - Braintree Public Schools

Braintree Public SchoolsGrade 5 MCAS Mathematics Reference SheetPlace value chartOrder of Operations - PEMDASMillionsHundred thousandsTen thousandsThousandsHundredsTensOnes·TenthsHundredthsThousandthsTen-thousandths• Solve number sentence inside grouping symbols,like parentheses• Find the value of all powers• Multiply and divide in order from left toright• Add and subtract in order from left to rightDIVISIBILITY RULESA number is able to be divided by … .2 If the last digit is even.3 If the sum of the digits can bedivided by 3.5 If the last digit is 0 or 5.10 If the last digit is 0.Solving equations with Variables• To undo Addition you Subtract.• To undo Subtraction you Add.• To undo Multiplication you Divide.• To undo Division you Multiply.Measurements3 feet = 1 yard5280 feet = 1 mile60 seconds = 1 minute60 minutes = 1 hour180 degrees = sum of angles in a triangle360 degrees = sum of angles in a rectanglePrime Factorization• Make a factor tree• Circle prime numbersWord Problem KnowledgeADD SUBTRACT MULTIPLY DIVIDESum, total,all togetherDifference,minus, manymoreProduct,times, doubleQuotient, per,average, eachGrade 5Approved 11/05

Comparing and Ordering Numbers_______ = _______Equal to each other____________ < ___________Smaller number < Larger number___________ > ____________Larger Number > Smaller NumberPERCENTSPercent to Fractions♦ Place number over 100.♦ Reduce if possible.Percent to Decimals♦ Trade percent sign for decimal.♦ Move two places to the left.Decimals to Percents♦ Move decimal two places to the right.♦ Add percent sign.Formulas• AreaSquare…..Area = side x sideArea = length x widthRectangle…...Area = base x heightArea = length x widthGraphing Coordinates♦♦♦Use x axis firstUse y axis nextPlot point♦♦Triangle…...Area = 1/2 (base x height)PerimeterSquare…...Perimeter = 4 x sideRectangle…...Perimeter = (2 x base) + (2 x height)Perimeter = (2 x length) + (2 x width)Triangle…. Perimeter = side + side + sideVolumeRectangular Prism…..Volume = length x width x heightGrade 5Approved 11/05

FractionsAdding Fractions• Need a common denominator• What I do to the bottom, I doto the top• Add fractions first• Add whole numbers• Simplify the answerSubtracting Fractions• Need a common denominator• What I do to the bottom, I do to thetop• When needed, borrow or renameyour whole number• Subtract fractions first• Subtract whole numbers• Simplify the answerMultiplying Fractions• Whole numbers go over 1• Mixed numbers need to bemade into improper fractions• Multiply across• Simplify the answerComparing Fractions• Find least common denominator(LCD) of the fractions• Rewrite each fraction as anequivalent fraction using the LCD.• Compare the numeratorsMixed Number to Improper Fraction• Multiply the whole number by thedenominator• Add the numerator• Answer becomes numerator• Denominator stays the same asoriginal numberImproper Fraction to a Mixed number• Divide numerator by thedenominator• Write remainder as a fractionSolving Proportions♦♦♦Write the proportion.Cross multiply.Divide by the number with the variable.Grade 5Approved 11/05