5th Grade Math (Ohio's Learning Standards)

Operations and Algebraic Thinking (5.OA)

• 5.OA.1 Use parentheses in numerical expressions and evaluate them (formal order of operations not required).
• 5.OA.2 Write simple expressions for calculations and interpret expressions without evaluating them.
• 5.OA.3 Generate two number patterns from given rules, form ordered pairs from their terms and graph them.

Number and Operations in Base Ten (5.NBT)

• 5.NBT.1 Recognize that a digit is worth ten times as much as in the place to its right and 1/10 as much as to its left.
• 5.NBT.2 Explain patterns in zeros and decimal point placement when multiplying or dividing by powers of 10.
• 5.NBT.3 Read, write and compare decimals to thousandths.
  • a. Write decimals to thousandths in standard, word and expanded form.
  • b. Compare decimals to thousandths by place value using >, = and <.
• 5.NBT.4 Round decimals to any place from hundredths to millions using place value.
• 5.NBT.5 Multiply multi-digit whole numbers fluently with the standard algorithm.
• 5.NBT.6 Divide four-digit dividends by two-digit divisors using place value, properties and models.
• 5.NBT.7 Solve real-world problems with decimal operations, explaining with models or drawings.
  • a. Add and subtract decimals to hundredths, including with whole numbers.
  • b. Multiply whole numbers (to hundreds) by decimals to hundredths.
  • c. Divide decimals and whole numbers when it can be modeled easily.

Number and Operations—Fractions (5.NF)

• 5.NF.1 Add and subtract fractions and mixed numbers with unlike denominators using equivalent fractions.
• 5.NF.2 Solve word problems adding and subtracting fractions of the same whole and check with estimation.
• 5.NF.3 Interpret a fraction as division and solve sharing problems with fraction or mixed-number answers.
• 5.NF.4 Multiply fractions and whole numbers using visual models, area and partitioning.
  • a. Interpret a fraction of a quantity as equal parts of it.
  • b. Find areas of rectangles with fraction sides by tiling unit squares.
• 5.NF.5 Interpret multiplication as scaling and compare product size with factor size without multiplying.
  • a. Compare a product with one factor by the size of the other.
  • b. Explain how multiplying by fractions resizes and connect to equivalence.
• 5.NF.6 Solve real-world problems multiplying fractions and mixed numbers with models or equations.
• 5.NF.7 Divide unit fractions by whole numbers and whole numbers by unit fractions.
  • a. Divide a unit fraction by a whole number; check with multiplication.
  • b. Divide a whole number by a unit fraction; check with multiplication.
  • c. Solve sharing and serving problems with unit fractions and whole numbers.

Measurement and Data (5.MD)

• 5.MD.1 Know relative sizes of units and convert within a measurement system to solve multi-step problems.
• 5.MD.2 Make and interpret displays such as pictographs and dot plots to solve fraction or decimal problems.
• 5.MD.3 Understand volume as an attribute of solid figures measured with unit cubes.
  • a. A unit cube has one cubic unit of volume.
  • b. A solid packed with n unit cubes has volume n.
• 5.MD.4 Measure volume by counting unit cubes in cubic cm, in, ft or improvised units.
• 5.MD.5 Relate volume to multiplication and addition to solve problems with prisms and composite solids.
  • a. Pack a prism with cubes and relate it to l × w × h.
  • b. Use V = l × w × h and V = B × h to solve problems.
  • c. Add volumes of non-overlapping prisms to find composite volume.

Geometry (5.G)

• 5.G.1 Understand the coordinate plane as two perpendicular number lines and locate points with ordered pairs.
• 5.G.2 Graph real-world and math points in the first quadrant and interpret coordinates in context.
• 5.G.3 Compare triangles by angles and side lengths and describe what they share and how they differ.
• 5.G.4 Compare quadrilaterals by angles, side lengths and parallel or perpendicular sides.