 # 5th Grade Skills, for some students are the final of their elementary school journey.

Depending on your school district, your child could officially be moving into middle school next year. However, sixth grade, whether situated in an elementary school or a middle school is the final year of elementary mathematics studies.

### Get Prepared For Summer. If you want to learn how to put a stop to the dreaded Summer Math Loss and send your child back to school in September feeling like a math super-hero then watch this free video training. So, you're remembering the day they went into Kindergarten, the image of them heading into the class room with their new backpack and lunch box draping their tiny little bodies.  They were anxious then, but also full of excitment and so confident because you had prepared them properly.  They could count to 10 and knew their ABC's.  How things change!  Or do they?  Actually not at all.  Your tiny little Kindergartner has most definitely grown up, but the anxiety, and excitement of Middle School is looming.

But is the confidence there? Have you prepared your 5th grader in all their math skills for sixth grade, as well as you had them preped for Kindergarten?

This list of skills is based on the 5th grade level expectatoins from Washington State OSPI Each specific skill is further broken down into areas. Just click on them to access all the practice your child could need! These Grade Level Expectations are organized by basic math subject area for 4th Grade, based on Washington States OSPI.  If you would rather have a basic math skills requirements list organized by subject area, that includes every requirement from Kindergarten to 6th grade in one downloadable document please visit my Grade Level Expectations section.

## 5th Grade Skills by Subject Area Algebra Exponents – Review perfect squares and square roots to 144, recognize the square root sign. Using the terms squared and cubed and the nth power, read and evaluate numerical expressions with exponentsIdentify the powers of ten up to 10Identify numbers under 100 as prime or compositeIdentify prime factors of numbers to 100 and write using exponential notation for multiple primesDetermine the greatest common factor (GCF) of given numbersDetermine the least common multiple (LCM) of given numbersSolve word problems with multiple stepsSolve problems with more than one operationCommutative, associative, distributive properties: know the names and understand the properties.Solve word problems involving multiplication Solve word problems with multiple stepsSolve problems with more than on operationRecognize variables and solve basic equations using variablesWrite and solve equations for word problemsFind the value of an expression given the replacement values for the variables, eg what is 7 – c if c = 3.5? Numbers and Operations Read and write numbers (in digits and words) up to the billions Recognize place value up to billionsOrder and compare numbers to 999,999,999 using the signs < ,>, =Write numbers in expanded formIntegers – locate positive and negative integers on a number line, compare integers using the symbols <, >, =; know that the sum of an integer and its opposite is 0, Add and subtract positive and negative integersUsing a number line, locate positive and negative whole numbersRound to the nearest ten, to the nearest hundred, to the nearest thousand, to the nearest hundred thousandDetermine and express simple rations.Use ration to create a simple scale drawingRation and rate: solve problems on speed as a ration, using the formula S = D/T (or D = R x T)Recognize the percent sign (%) and understand percent as “per hundred”Express equivalencies between fractions, decimals, and percent’s and know common equivalencies:1/10 = 10%, ¼ = 25%, ½ = 50% ¾ = 75% Find given percent of a numberDetermine the least common denominator (LCD) of fractions with unlike denominatorsRecognize equivalent fractions Put fractions in lowest termsCompare fractions with like and unlike denominators, using the signs <, >, =Identify the reciprocal of a given fraction; know that the product of a given number and its reciprocal = 1Add and subtract mixed numbers and fractions with like and unlike denominatorsMultiply and divide fractionsAdd and subtract fractions with like and unlike denominatorsAdd and subtract mixed numbers and fractions; multiply mixed numbers and fractionsRound fractions to the nearest whole numbers Write fractions as decimalsRead, write and order decimals to the nearest ten-thousandthWrite decimals in expanded formRead and write decimals on a number lineRound decimals (and decimal quotients) to the nearest tenth; to the nearest hundredth, to the nearest thousandthEstimate decimal sums, differences, and products by roundingMultiply decimals by 10, 100 and 1000; by another decimalDivide decimals by whole numbers and decimalsMultiply two factors of up to four digits eachWrite numbers in expanded form using multiplicationEstimate a productUse mental computation strategies for multiplication, such as breaking a problem into partial products eg ( 3 x 27 = (3 x 20) + (3 x 7) = 60 + 21 = 81Understand multiplication and division as inverse operationsKnow what it means for one number to be “divisible” by another numberKnow that you cannot divide by 0; that any number divided by 1 = that numberEstimate the quotientKnow how to move the decimal point when dividing by 10, 100 or 1000Divide dividends up to four digits by one-digit, two-digit, and three-digit divisorsSolve division problems with remainders; round a repeating decimal quotientCheck division by multiplying (and adding remainder) Measurement Convert to common units in problems involving addition and subtraction of different units Solve problems on elapsed time; regroup when multiplying and dividing amounts of time. Geometry Identify and draw points, segments, rays, linesIdentify and draw lines: horizontal; vertical; perpendicular; parallel; intersecting Measure the degrees in angles, and know that right angle = 90’ acute angle: less than 90’ obtuse angle greater than 90’ straight angle 180’Identify and construct different kinds of triangles; equilateral, right and isoscelesKnow what it means to triangles to be congruentIdentify polygons: triangle, quadrilateral, pentagon, hexagon and octagon, parallelogram, trapezoid, rhombus, rectangle, squareKnow that regular polygons have sides of equal length and angles of equal measure, Identify and draw diagonals of polygonsCircles: Identify arc, chord, radius and diameter.  Using a compass, draw circles with a given diameter or radiusFind the circumference of a circle using the formula   and  using the 3.14 as the value of pi.Area: review the formula for the area of a rectangle and solve problems involving finding area in a variety of square unitsFind the area of triangles, using the formula Find the area of an irregular figure (such as a trapezoid) by dividing into regular figures for which you know how to find the area. Compute volume of rectangular prisms in cubic units, using the formula Find the surface area of a rectangular prism. Data Analysis Understand probability as a measure of the likelihood that an event will happen; using simple models, express probability of a given even as a fraction, as a percent, and as a decimal between 0 and 1Collect and organize data in graphic form (bar, line and circle graphs)Solve problems requiring interpretation and application of graphically displayed dataFind the average (mean) of a given set of numbersPlot points on a coordinate plane, using ordered pairs of positive and negative whole numbersGraph simple functions.
And don't forget to head over to our home page! Here you will find great resources to help you tutor your child, such as manipulatives, board games, math puzzles and activities! When your child has mastered their 5th Grade Skills, it's time to move on and up to Sixth grade skills!

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