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Georgia K-12 Standards

Georgia 5th grade math standards

Every 5th grade math standard in the Georgia's K-12 Mathematics Standards, in Georgia's order, with the Lux lessons that teach it.

Number and Operations in Base Ten

  1. 5.NR.1.1

    Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

    Taught inTen times, one tenth
  2. 5.NR.1.2

    Explain patterns in the placement of digits when multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10, up to 10^3.

    Taught inTimes 0.1 and 0.01Dividing by 0.1 and 0.01A tenth of it, not ten timesThe point stays put
  3. 5.NR.2.1

    Fluently multiply multi-digit (up to 3- digit by 2-digit) whole numbers to solve authentic problems.

    Taught inMultiplying bigger numbersEstimate each rowThe zero in the second rowThree digits by two digitsand 1 more
  4. 5.NR.2.2

    Fluently divide multi-digit whole numbers (up to 4-digit dividends and 2-digit divisors no greater than 25) to solve practical problems.

    Taught inA fraction is a divisionMore than one eachThe smaller number can go firstThe bar means divideand 8 more
  5. 5.NR.4.1

    Read and write decimal numbers to the thousandths place using base-ten numerals written in standard form and expanded form.

    Taught inDecimals three waysZero tenths hold the place
  6. 5.NR.4.2

    Represent, compare, and order decimal numbers to the thousandths place based on the meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

    Taught inComparing to thousandthsCompare values, not digitsA longer decimal isn’t bigger
  7. 5.NR.4.3

    Use place value understanding to round decimal numbers to the hundredths place.

    Taught inRounding decimals: closer to which?Name the two neighbors
  8. 5.NR.4.4

    Solve problems involving addition and subtraction of decimal numbers to the hundredths place using a variety of strategies.

    Taught inDecimals from facts you knowTenths times tenths on a gridEstimating decimal answersWhere the point landsand 8 more

Number and Operations—Fractions

  1. 5.NR.3.1

    Explain the meaning of a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.

    Taught inA fraction is a divisionMore than one eachThe smaller number can go firstThe bar means divideand 2 more
  2. 5.NR.3.2

    Compare and order up to three fractions with different numerators and/or different denominators by flexibly using a variety of tools and strategies.

    Taught inComparing with 1/2Comparing with a common denominatorBigger numbers, not a bigger fractionFractions greater than oneand 6 more
  3. 5.NR.3.3

    Model and solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators.

    Taught inAdding fractions with unlike denominatorsRenaming both fractionsMixed numbers, unlike denominatorsAdding tops and bottomsand 2 more
  4. 5.NR.3.4

    Model and solve problems involving multiplication of a fraction and a whole number.

    Taught inA fraction of a fractionMixed number times a fractionA whole number times a fractionMultiply only the topand 2 more
  5. 5.NR.3.5

    Explain why multiplying a whole number by a fraction greater than one results in a product greater than the whole number, and why multiplying a whole number by a fraction less than one results in a product less than the whole number and multiplying a whole number by a fraction equal to one results in a product equal to the whole number.

    Taught inBigger or smaller, without computingTimes a fraction can shrink
  6. 5.NR.3.6

    Model and solve problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.

    Taught inFraction division stories

Operations and Algebraic Thinking

  1. 5.NR.5.1

    Write, interpret, and evaluate simple numerical expressions involving whole numbers with or without grouping symbols to represent actual situations.

    Taught inWords to expressionsTimes the sum, or plus it?Order of operationsLeft to right, not M before D
  2. 5.PAR.6.1

    Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms by completing a table.

    Taught inA rule as an expressionThe rule fits every termInput and output tablesWhich column is which?

Geometry

  1. 5.PAR.6.2

    Represent problems by plotting ordered pairs and explain coordinate values of points in the first quadrant of the coordinate plane.

    Taught inPoints that tell a storyLine graphs
  2. 5.GSR.8.1

    Classify, compare, and contrast polygons based on properties.

    Taught inTriangles two waysEvery name that fitsNot only the last name
  3. 5.GSR.8.2

    Determine, through exploration and investigation, that attributes belonging to a category of two-dimensional figures also belong to all subcategories of that category.

    Taught inNot only the last name

Measurement and Data

  1. 5.MDR.7.1

    Explore realistic problems involving different units of measurement, including distance, mass, weight, volume, and time.

    Taught inConverting in stepsChains of unitsRegroup by the unit, not by tenMaking changeand 3 more
  2. 5.MDR.7.2

    Ask questions and answer them based on gathered information, observations, and appropriate graphical displays to solve problems relevant to everyday life

    Taught inLine plots in halves, thirds, and fourthsCount in fractionsMean as a fair shareFour measures from a line plotand 1 more
  3. 5.MDR.7.3

    Convert among units within the metric system and then apply these conversions to solve multistep, practical problems.

    Taught inConverting in stepsChains of unitsRegroup by the unit, not by tenMultiply or divide?
  4. 5.MDR.7.4

    Convert among units within relative sizes of measurement units within the customary measurement system.

    Taught inConverting in stepsChains of unitsRegroup by the unit, not by tenConverting units with a tableand 1 more
  5. 5.GSR.8.3

    Investigate volume of right rectangular prisms by packing them with unit cubes without gaps or overlaps. Then, determine the total volume to solve problems.

    Taught inVolume by packing cubesNo gaps, no overlaps
  6. 5.GSR.8.4

    Discover and explain how the volume of a right rectangular prism can be found by multiplying the area of the base times the height to solve authentic, mathematical problems.

    Taught inVolume by formulaThe base is an areaFind the missing edge
All Georgia grades

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