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North Dakota Standards

North Dakota 5th grade math standards

Every 5th grade math standard in the 2023 North Dakota Mathematics Content Standards, in North Dakota's order, with the Lux lessons that teach it.

Number and Operations in Base Ten

  1. 5.NO.CC.1

    Read and write decimals to the thousandths including standard, word, and expanded forms.

    Taught inDecimals three waysZero tenths hold the place
  2. 5.NO.NBT.1

    Understand that in a multi-digit number, a digit in one place represents ten 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
  3. 5.NO.NBT.2

    Compare two decimals to the thousandths place using symbols >, < and =. Justify comparisons based on the value of the digits.

    Taught inComparing to thousandthsCompare values, not digitsA longer decimal isn’t bigger
  4. 5.NO.NBT.3

    Apply place value understanding to round decimals to any place.

    Taught inRounding decimals: closer to which?Name the two neighbors
  5. 5.NO.NBT.4

    Multiply multi-digit whole numbers using strategies flexibly, including the algorithm.

    Taught inMultiplying bigger numbersEstimate each rowThe zero in the second rowThree digits by two digitsand 1 more
  6. 5.NO.NBT.5

    Use concrete models, drawings, place value strategies, properties of operations and/or relationships to add, subtract, and multiply decimals to hundredths.

    Taught inDecimals from facts you knowTenths times tenths on a gridEstimating decimal answersWhere the point landsand 8 more
  7. 5.NO.NBT.6

    Find whole-number quotients and remainders with up to four-digit dividends and two-digit divisors using place value strategies. Show and justify the calculation by using equations, rectangular arrays, and/or area models.

    Taught inEstimating with two-digit divisorsPartial quotients, two-digit divisorsLong division, two-digit divisorsWhen the first guess is wrongand 2 more
  8. 5.NO.NBT.7

    Explain patterns in the number of zeros of the product when multiplying a number by powers of 10. Explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

    Taught inTimes 0.1 and 0.01Dividing by 0.1 and 0.01A tenth of it, not ten timesThe point stays put

Number and Operations—Fractions

  1. 5.NO.NF.1

    Generate equivalent forms of commonly used fractions and decimals (e.g., halves, fourths, fifths, tenths).

    Taught inFractions and decimals, side by sideFractions as decimals0.6 is not 0.06One tenth more, one hundredth less
  2. 5.NO.NF.2

    Explain why multiplying a given number by a fraction greater than one results in a product greater than the given number and explain why multiplying a given number by a fraction less than one results in a product smaller than the given number.

    Taught inBigger or smaller, without computingTimes a fraction can shrink
  3. 5.NO.NF.3

    Solve authentic word problems by adding and subtracting fractions and mixed numbers with unlike denominators using visual fraction models and equations.

    Taught inAdding fractions with unlike denominatorsRenaming both fractionsMixed numbers, unlike denominatorsAdding tops and bottomsand 2 more
  4. 5.NO.NF.4

    Solve authentic word problems by multiplying fractions and mixed numbers using visual fraction models and equations.

    Taught inA third of it, or a third of a yard?
  5. 5.GM.M.2

    Find the area and perimeter of a rectangle, including connected rectangular figures, with fractional side lengths.

    Taught inArea with fraction sidesArea with decimal sides

Operations and Algebraic Thinking

  1. 5.AR.OA.1

    Automatically multiply and divide through 12x12.

    Taught inHard facts from easy onesDivision facts are missing factorsOne array, four factsFacts from facts you knowand 6 more
  2. 5.AR.OA.2

    Analyze problems using the order of operations to solve and evaluate expressions while justifying thinking.

    Taught inOrder of operationsLeft to right, not M before D
  3. 5.AR.OA.3

    Write simple expressions that record calculations with numbers. Interpret numerical expressions without evaluating them.

    Taught inWords to expressionsTimes the sum, or plus it?
  4. 5.AR.OA.4

    Find factor pairs and multiples within the range of 1-100 while classifying numbers as prime or composite.

    Taught inFactor pairs with arraysPrime or composite?1 is not prime, and odd isn’t prime
  5. 5.AR.OA.5

    Generate two numerical patterns using two given rules and form ordered pairs consisting of corresponding terms from the two patterns. (Graphing on a coordinate plane).

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

Measurement and Data

  1. 5.DPS.D.1

    Generate data and create line plots to display a data set of fractions of a unit (½, ¼, ⅛). Use grade-level operations for fractions to solve problems involving information presented in line plots.

    Taught inLine plots in halves, thirds, and fourthsCount in fractionsMean as a fair share
  2. 5.DPS.D.2

    Utilize graphs and diagrams to represent, analyze, and solve authentic word problems using information presented in one or more tables or line plots including whole numbers, fractions, and decimals.

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

    Generate conversions among different-sized standard measurement units within a given measurement system, both customary and metric systems. Use these conversions in solving multi-step, authentic word problems.

    Taught inConverting in stepsChains of unitsRegroup by the unit, not by tenMultiply or divide?
  4. 5.GM.M.3

    Recognize volume as an attribute of rectangular prisms and measure volume by counting unit cubes.

    Taught inVolume by packing cubesNo gaps, no overlaps

Geometry

  1. 5.GM.G.1

    Classify two-dimensional figures in a hierarchy based on properties.

    Taught inTriangles two waysEvery name that fits
  2. 5.GM.G.2

    Identify the x-coordinate and y-coordinate to graph and name points in the first quadrant of the coordinate plane.

    Taught inPoints on the coordinate planeRight first, then upA zero puts it on an axis
  3. 5.GM.G.3

    Form ordered pairs and graph points in the first quadrant on the coordinate plane to solve authentic word problems.

    Taught inPoints that tell a storyLine graphs
All North Dakota grades

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