5th Grade Math (Kentucky Academic Standards)

Operations and Algebraic Thinking (OA)

• KY.5.OA.1 Use grouping symbols in numerical expressions and evaluate them.
• KY.5.OA.2 Write simple expressions and interpret them without working them out.
• KY.5.OA.3 Make number patterns from situations and describe them with rules.
  • a. State a rule linking matching terms of growing patterns.
  • b. Build patterns from one or two given rules.
  • c. Show how patterns relate using tables, ordered pairs and graphs.

Number and Operations in Base Ten (NBT)

• KY.5.NBT.1 Know that each place is worth ten times the place to its right.
• KY.5.NBT.2 Multiply and divide by powers of 10 and explain the patterns in zeros and decimal points.
• KY.5.NBT.3 Read, write and compare decimals to thousandths.
  • a. Write decimals to thousandths in different forms.
  • b. Compare decimals to thousandths using place value and symbols.
• KY.5.NBT.4 Round decimals to any place using place value.
• KY.5.NBT.5 Multiply whole numbers (up to four digits by two digits) fluently.
• KY.5.NBT.6 Divide numbers of up to four digits by two-digit divisors.
  • a. Find quotients using place value, properties and the link to multiplication.
  • b. Explain the division with equations, arrays or area models.
• KY.5.NBT.7 Add, subtract, multiply and divide decimals to hundredths.
  • a. Calculate with decimals using models, place value, properties and inverse operations.
  • b. Link the strategy to a written method and justify the reasoning.

Number and Operations—Fractions (NF)

• KY.5.NF.1 Add and subtract fractions and mixed numbers with unlike denominators efficiently.
• KY.5.NF.2 Solve word problems that add and subtract fractions.
  • a. Solve fraction word problems referring to the same whole with unlike denominators.
  • b. Estimate with benchmark fractions and check answers make sense.
• KY.5.NF.3 Understand a fraction as division and solve sharing problems with fraction answers.
• KY.5.NF.4 Multiply whole numbers and fractions by fractions using area and partitioning.
  • a. Interpret a fraction product as parts of a partition or repeated division.
  • b. Find areas of rectangles with fraction sides by tiling with unit squares.
• KY.5.NF.5 Understand multiplication as resizing and compare products without calculating.
  • a. Compare the size of a product to one factor without multiplying.
  • b. Explain how multiplying by fractions above or below 1 changes a number.
• KY.5.NF.6 Solve real-world problems multiplying fractions and mixed numbers.
• KY.5.NF.7 Divide unit fractions by whole numbers and whole numbers by unit fractions.
  • a. Interpret and calculate a unit fraction divided by a whole number.
  • b. Interpret and calculate a whole number divided by a unit fraction.
  • c. Solve real-world problems with these divisions.

Measurement and Data (MD)

• KY.5.MD.1 Convert units within one system for mass, weight, volume, length and time.
• KY.5.MD.2 Collect categorical and numerical data, choose suitable graphs and interpret them.
• KY.5.MD.3 Understand volume as a feature of solids and measure it with unit cubes.
  • a. Know a unit cube has a volume of one cubic unit.
  • b. Know volume is the number of unit cubes that fill a solid with no gaps.
• KY.5.MD.4 Find volume by counting cubic centimeters, inches, feet or made-up units.
• KY.5.MD.5 Link volume to multiplication and addition and solve volume problems.
  • a. Fill prisms with cubes, then multiply the edge lengths or base area by height.
  • b. Use volume formulas for rectangular prisms in applied problems.
  • c. Add the volumes of non-overlapping prisms to find a combined volume.

Geometry (G)

• KY.5.G.1 Build a coordinate system with perpendicular axes and locate points with ordered pairs.
• KY.5.G.2 Graph points in the first quadrant to model situations and interpret the coordinates.
• KY.5.G.3 Understand that features of a category of 2-D shapes belong to all its subcategories.
• KY.5.G.4 Sort 2-D shapes into a hierarchy based on their properties.