5th Grade Math (North Dakota Content Standards)

Number and Operations (NO)

• 5.NO.CC.1 Read and write decimals to thousandths in standard, word and expanded form.
• 5.NO.NBT.1 Know a digit is worth ten times the place to its right and one tenth of the place to its left.
• 5.NO.NBT.2 Compare decimals to thousandths and justify.
• 5.NO.NBT.3 Round decimals to any place.
• 5.NO.NBT.4 Multiply multi-digit whole numbers flexibly, including with the algorithm.
• 5.NO.NBT.5 Add, subtract and multiply decimals to hundredths using models and place value.
• 5.NO.NBT.6 Divide up to four-digit numbers by two-digit divisors with models and justification.
• 5.NO.NBT.7 Explain zeros in products and decimal-point shifts when multiplying or dividing by powers of 10.
• 5.NO.NF.1 Write equivalent forms of common fractions and decimals, in lowest terms.
• 5.NO.NF.2 Explain why multiplying by a fraction greater than one makes a number larger and less than one smaller.
• 5.NO.NF.3 Add and subtract unlike fractions and mixed numbers in word problems.
• 5.NO.NF.4 Multiply fractions and mixed numbers in word problems using visual models.

Algebraic Reasoning (AR)

• 5.AR.OA.1 Multiply and divide automatically up to 12 × 12.
• 5.AR.OA.2 Evaluate and solve expressions following the order of operations, and justify the steps.
• 5.AR.OA.3 Write numerical expressions for calculations and interpret them without evaluating.
• 5.AR.OA.4 Find factor pairs and multiples for 1–100 and classify numbers as prime or composite.
• 5.AR.OA.5 Make two number patterns from rules, form ordered pairs and graph them.

Geometry and Measurement (GM)

• 5.GM.G.1 Classify 2D figures in a hierarchy by their properties.
• 5.GM.G.2 Use x- and y-coordinates to graph and name first-quadrant points.
• 5.GM.G.3 Form ordered pairs and graph first-quadrant points to solve word problems.
• 5.GM.M.1 Convert among standard units in one system to solve multi-step problems.
• 5.GM.M.2 Find area and perimeter of rectangles, including joined ones, with fractional sides.
• 5.GM.M.3 Measure the volume of rectangular prisms by counting unit cubes.

Data, Probability and Statistics (DPS)

• 5.DPS.D.1 Make line plots of fractional data (halves, fourths, eighths) and solve problems from them.
• 5.DPS.D.2 Use graphs and tables with whole numbers, fractions and decimals to solve word problems.