5th Grade Math (Wisconsin Standards)

Operations and Algebraic Thinking (5.OA)

• M.5.OA.A.1 Evaluate numerical expressions that use parentheses, brackets or braces.
• M.5.OA.A.2 Write simple expressions for calculations and interpret expressions without evaluating them.
• M.5.OA.B.3 Generate two number patterns from rules, relate their terms and graph the ordered pairs.

Number and Operations in Base Ten (5.NBT)

• M.5.NBT.A.1 Recognize that each place is worth ten times the place on its right and one tenth of the place on its left.
• M.5.NBT.A.2 Explain patterns in zeros and decimal point placement when multiplying or dividing by powers of 10.
• M.5.NBT.A.3 Read, write and compare decimals to thousandths.
  • a. Read and write decimals in numerals, words and expanded form.
  • b. Compare decimals to thousandths using place value.
• M.5.NBT.A.4 Use place value to estimate with decimals in real situations and judge reasonableness.
• M.5.NBT.B.5 Multiply multi-digit whole numbers flexibly and efficiently with strategies or algorithms.
• M.5.NBT.B.6 Divide up to four-digit dividends by two-digit divisors using place value strategies and explain.
• M.5.NBT.B.7 Compute with decimals to hundredths (all four operations) using models and place value strategies.

Number and Operations—Fractions (5.NF)

• M.5.NF.A.1 Add and subtract fractions and mixed numbers flexibly, renaming with equivalent fractions; justify with models.
• M.5.NF.A.2 Solve fraction addition and subtraction word problems and check with benchmark fractions and number sense.
• M.5.NF.B.3 Interpret a fraction as equal sharing (numerator divided by denominator) and solve related word problems.
• M.5.NF.B.4 Multiply fractions by whole numbers and by fractions, including mixed numbers.
  • a. Represent fraction-multiplication word problems with models.
  • b. Find areas of rectangles with fractional sides by tiling.
• M.5.NF.B.5 Interpret multiplication as scaling without calculating.
  • a. Compare a product's size with one factor.
  • b. Explain why multiplying by fractions above or below 1 grows or shrinks.
• M.5.NF.B.6 Solve real-world problems multiplying fractions and mixed numbers with models and equations.
• M.5.NF.B.7 Divide a unit fraction by a whole number, and a whole number by a unit fraction.
  • a. Divide a unit fraction by a whole number; explain with models.
  • b. Divide a whole number by a unit fraction; explain with models.
  • c. Solve word problems with these divisions.

Measurement and Data (5.MD)

• M.5.MD.A.1 Convert between units within one system and use conversions in multi-step real problems.
• M.5.MD.B.2 Make line plots of measurements in fractions of a unit and solve problems with the data.
• M.5.MD.C.3 Recognize volume as an attribute of solids and understand volume measurement.
  • a. A unit cube has one cubic unit of volume.
  • b. A solid packed with n unit cubes has volume n.
• M.5.MD.C.4 Measure volume by counting unit cubes in cubic cm, in, ft or improvised units.
• M.5.MD.C.5 Relate volume to multiplication and addition and solve volume problems.
  • a. Pack a prism with cubes and relate to multiplying edges.
  • b. Apply the prism volume formulas (length × width × height, or base area × height).
  • c. Add volumes of non-overlapping prisms.

Geometry (5.G)

• M.5.G.A.1 Understand the coordinate plane as two perpendicular number lines and locate points with ordered pairs.
• M.5.G.A.2 Graph points in the first quadrant to represent problems and interpret coordinates in context.
• M.5.G.B.3 Understand that attributes of a category of 2D figures belong to all its subcategories.
• M.5.G.B.4 Classify 2D figures in a hierarchy based on properties.