MCAS Grade 8 Mathematics Supplemental Reference Sheet …
Approved Supplemental Mathematics Reference Sheet—Grade 8ONLY for use by students on the MCAS Mathematics test who have this accommodation listed in their IEP or 504 planNote: Students may NOT use a reference sheet on which the table has already been completed prior to the beginning of the test administration, and test administrators MUST check to confirm that they are providing students with blank sheets.General Problem-Solving ProcessOrder of OperationsRead/reread the problem for understanding.Identify what the question is asking.Make a plan to solve the problem. (Choose at least one strategy.)Draw a picture.Create a table, chart, or list.Look for a pattern.Work backwards.Write a number sentence or an equation. Solve the problem.Reread the problem to see if your solution makes sense.PEMDASParentheses (brackets, etc.)ExponentsMultiplication or Division (left to right)Addition or Subtraction (left to right)GEMAGrouping Exponents Multiplicative operations (multiplication or division – left to right)Additive operations (addition or subtraction – left to right)Hundreds ChartPropertiesFractionsab+c=ab+ac a+b+c=a+b+ ca ?b ? c=a ? b ? c a ? b=b ? a a+b=b+a a--b=a+b a+-b=a-bab+cd=ad+bcbdab-cd=ad-bcbdab? cd=acbdab÷cd=adbcPlace ValueWhole NumbersDecimalsHundred-thousandsTen- thousandsThousandsHundredsTensOnes.TenthsHundredthsNumber Line8064514922500StatisticsCoordinate PlaneMean - AverageMedian - MiddleMode – Most oftenRange – Least to GreatestAx+By=C Slope or Rate of Change (m)=y2-y1x2-x1 = RiseRuny=mx+by-y1=mx-x1Percentages and Proportionsisof=%100x%=x100if ab=cd , then ad=bcRatiosPart:PartPart:WholeDivisibility Rules2If the last digit is even3If the sum of the digits can be divided by 35If the last digit is 0 or 56If the number is divisible by both 2 and 39If the sum of the digits can be divided by 910If the last digit is 0Symbols< is less than> is greater than= is equal to| x | = absolute value of x≤ is less than or equal to≥ is greater than or equal toProbabilityProbability=favorable outcomespossible outcomesGeometry and Measurement AbbreviationsTransformationl=lengthw=widthh=heights=length of a sideb=length of the based=diameterA=areaB=area of the baseP=perimeterC=circumferencer=radiusTranslation – SlideReflection – FlipRotation – TurnMultiplication Table (NOTE: DO NOT COMPLETE THIS TABLE FOR THE STUDENT.)X123456789101112123456789101112 ................
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