5th Grade Math (South Dakota Content Standards)

Operations and Algebraic Thinking (OA)

• 5.OA.1 Use parentheses in numerical expressions and evaluate them.
• 5.OA.2 Write and interpret expressions for real calculations without evaluating them.
• 5.OA.3 Make two number patterns from rules, graph the pairs and explain how they relate.

Number and Operations in Base Ten (NBT)

• 5.NBT.1 Know each place is worth 10 times the place to its right.
• 5.NBT.2 Use patterns of zeros and decimal points when multiplying or dividing by powers of 10.
• 5.NBT.3a Read and write decimals to thousandths in several forms.
• 5.NBT.3b Compare decimals to thousandths using place value.
• 5.NBT.4 Round decimals to any place.
• 5.NBT.5 Multiply multi-digit whole numbers fluently.
• 5.NBT.6 Divide up to four-digit dividends by two-digit divisors.
• 5.NBT.7a Add and subtract decimals to hundredths and justify.
• 5.NBT.7b Multiply and divide decimals to hundredths and justify.

Number and Operations – Fractions (NF)

• 5.NF.1 Add and subtract unlike fractions and mixed numbers using equivalent fractions.
• 5.NF.2a Solve word problems adding and subtracting fractions of the same whole.
• 5.NF.2b Use benchmark fractions to estimate and check answers.
• 5.NF.3 Interpret a fraction as division and solve related word problems.
• 5.NF.4a Multiply fractions and whole numbers, interpreting products as parts of a partition.
• 5.NF.4b Find areas of rectangles with fractional side lengths.
• 5.NF.5a Compare the size of a product with a factor without multiplying.
• 5.NF.5b Explain how multiplying by a fraction greater or less than 1 changes a number.
• 5.NF.6 Solve real problems multiplying fractions and mixed numbers.
• 5.NF.7a Divide a unit fraction by a nonzero whole number.
• 5.NF.7b Divide a whole number by a unit fraction.
• 5.NF.7c Solve real problems dividing unit fractions and whole numbers.

Measurement and Data (MD)

• 5.MD.1 Convert customary and metric units and use conversions in multi-step problems.
• 5.MD.2a Solve problems using fractional data (halves, quarters, eighths) on line plots.
• 5.MD.2b Share out amounts shown on a line plot so they are equal.
• 5.MD.3a Know a unit cube has one cubic unit of volume.
• 5.MD.3b Know volume is the number of unit cubes that fill a solid.
• 5.MD.4 Measure volume by counting unit cubes.
• 5.MD.5a Find volume by packing prisms with cubes and relate it to base area times height.
• 5.MD.5b Show three-factor products as volumes.
• 5.MD.5c Find volume with length times width times height, or base area times height.
• 5.MD.5d Add volumes of non-overlapping prisms to find a total.

Geometry (G)

• 5.G.1 Use perpendicular axes and ordered pairs to locate points on a coordinate plane.
• 5.G.2 Graph first-quadrant points and interpret coordinates in context.
• 5.G.3 Know attributes of a category of shapes also apply to its subcategories.
• 5.G.4 Classify two-dimensional figures in a hierarchy by their properties.