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Ohio Standards

Ohio 5th Grade Math Standards

All 26 Ohio math standards for 5th grade, each explained in plain English. The official wording is in Ohio Department of Education and Workforce's document, linked at the end of this page.

26 standards

Operations and Algebraic Thinking

3 standards
5.OA.1
Use parentheses in number expressions and find their value, like 2 × (3 + 4) = 14, without needing formal order of operations.
5.OA.2
Write expressions for calculations, like 2 × (5 + 6) for double the sum of 5 and 6, and interpret expressions without solving, like 3 × (20 + 9) being triple 20 + 9.
5.OA.3
Build two number patterns from two rules, compare their matching terms, and graph the pairs as points on a coordinate grid.
Common Core 5.OA.3

Number and Operations in Base Ten

7 standards
5.NBT.1
Know that each place is worth ten times the place to its right and one tenth of the place to its left.
Common Core 5.NBT.1
5.NBT.2
Explain how the zeros and the decimal point move when a number is multiplied or divided by a power of 10, and write powers of 10 with exponents.
Common Core 5.NBT.2
5.NBT.3
Read and write decimals to thousandths, like 347.392, in words and expanded form, and compare two decimals digit by digit.
Common Core 5.NBT.3
5.NBT.4
Round decimals to any place from the millions to the hundredths using place value, like 4.276 to the nearest tenth is 4.3.
5.NBT.5
Multiply whole numbers with several digits quickly and accurately using a standard written method, like 324 × 46.
5.NBT.6
Divide up to four-digit numbers by two-digit numbers with place-value strategies, and show the thinking with equations, arrays or area models.
Common Core 5.NBT.6
5.NBT.7
Add, subtract, multiply, and divide decimals to hundredths, with whole numbers too, in real-world problems using models, like 0.6 ÷ 3 or 12 ÷ 0.4, and explain the method.

Number and Operations—Fractions

7 standards
5.NF.1
Add and subtract fractions and mixed numbers with unlike denominators by first rewriting them with a common denominator, like 1/2 + 2/3 = 3/6 + 4/6 = 7/6.
5.NF.2
Solve word problems that add or subtract fractions with unlike denominators, and use benchmark fractions like 1/2 to check whether an answer makes sense.
Common Core 5.NF.2
5.NF.3
Read a fraction as a division, like 3/4 means 3 divided by 4, and solve sharing problems whose answers are fractions or mixed numbers.
Common Core 5.NF.3
5.NF.4
Multiply a fraction by a whole number or by another fraction, like 2/3 × 4/5 = 8/15, and find the area of a rectangle with fractional sides.
Common Core 5.NF.4
5.NF.5
See multiplying as resizing, and explain without calculating why a fraction over 1 makes a number bigger and one under 1 makes it smaller, like 3/4 × 8 is less than 8.
5.NF.6
Solve real-world problems that multiply fractions and mixed numbers, like how much flour is in half of a recipe that calls for 2 1/2 cups.
Common Core 5.NF.6
5.NF.7
Divide a unit fraction by a whole number and a whole number by a unit fraction, like 1/2 ÷ 3 = 1/6 or 3 ÷ 1/4 = 12, using models, stories, and real-world problems.

Measurement and Data

5 standards
5.MD.1
Know how U.S. units of weight, length, volume, and time compare, like 16 ounces in a pound, and convert between them to solve multi-step real-world problems.
5.MD.2
Make and read picture graphs, bar graphs, and line plots with data in halves, fourths, or eighths of U.S. units or decimals, and use them to solve problems.
5.MD.3
Understand volume as the space inside a solid, measured by how many unit cubes fill it without gaps or overlaps.
Common Core 5.MD.3
5.MD.4
Measure volume by counting unit cubes, in cubic centimeters, cubic inches, cubic feet or made-up units.
Common Core 5.MD.4
5.MD.5
Find the volume of a box-shaped prism with the formulas V = l × w × h and V = b × h, and add up the volumes of two prisms joined together.
Common Core 5.MD.5

Geometry

4 standards
5.G.1
Plot and locate points on a coordinate grid with an ordered pair like (3, 5), going across on the x-axis first and then up on the y-axis.
Common Core 5.G.1
5.G.2
Graph real-world data as points in the first quadrant of a coordinate grid and explain what each point’s coordinates mean.
Common Core 5.G.2
5.G.3
Identify and describe how triangle types are alike and different by angles, like equiangular, right, acute, or obtuse, and by sides, like isosceles or scalene.
5.G.4
Identify and describe how squares, rectangles, parallelograms, trapezoids, and rhombuses are alike and different by their angles, sides, and parallel or perpendicular lines.

The official Ohio documents

The plain-English lines on this page are EMStudio's own explanations of Ohio's standards, not the official wording, which Ohio Department of Education and Workforce publishes in the documents above. Codes and strand names identify each standard.