5th Grade Math (Nebraska Standards)

Number (N)

• MA.5.N.1 Understand the place value system.
  • MA.5.N.1.a Read, write and show multi-digit whole numbers and decimals to thousandths in standard and expanded form.
  • MA.5.N.1.b Know a digit is worth 1/10 of what it would be in the place to its left.
  • MA.5.N.1.c Use whole-number exponents to show powers of 10.
• MA.5.N.2 Extend understanding of equivalence and order for fractions and decimals.
  • MA.5.N.2.a Make equivalent forms of common fractions and decimals (halves, fourths, fifths, tenths).
  • MA.5.N.2.b Compare whole numbers, fractions, mixed numbers and decimals to thousandths using number lines, reasoning or equivalence.
• MA.5.N.3 Use whole-number operations with fractions and decimals.
  • MA.5.N.3.a Interpret a fraction as the numerator divided by the denominator.
  • MA.5.N.3.b Multiply a whole number or fraction, including mixed numbers, by a fraction using models and properties.
  • MA.5.N.3.c Divide a unit fraction by a whole number and a whole number by a unit fraction using models and properties.
  • MA.5.N.3.d Solve real problems adding, subtracting and multiplying fractions and mixed numbers with like or unlike denominators.
  • MA.5.N.3.e Add and subtract fractions and mixed numbers with unlike denominators, without simplifying.
  • MA.5.N.3.f Solve real problems dividing unit fractions by whole numbers and whole numbers by unit fractions.
  • MA.5.N.3.g Add, subtract, multiply and divide decimals to hundredths using place value, properties and algorithms.

Algebra (A)

• MA.5.A.1 Extend division and use properties of operations with order of operations.
  • MA.5.A.1.a Multiply multi-digit whole numbers with an algorithm.
  • MA.5.A.1.b Divide four-digit numbers by two-digit divisors, with or without remainders, using place value.
  • MA.5.A.1.c Justify whether calculations with whole numbers, fractions and decimals are reasonable.
  • MA.5.A.1.d Simplify real numerical or algebraic expressions using order of operations (no exponents).

Geometry (G)

• MA.5.G.1 Classify 2D figures by their properties.
  • MA.5.G.1.a Identify and describe faces, edges and vertices of rectangular prisms.
  • MA.5.G.1.b Recognize volume as an attribute of solids measured in cubic units.
  • MA.5.G.1.c Classify 2D and 3D figures in a hierarchy by their properties and justify.
• MA.5.G.2 Graph points on a coordinate plane to solve real problems.
  • MA.5.G.2.a Identify the origin, x-axis and y-axis of the coordinate plane.
  • MA.5.G.2.b Graph and name first-quadrant points from whole-number ordered pairs.
  • MA.5.G.2.c Form, graph and interpret ordered pairs from rules or patterns in real situations.
• MA.5.G.3 Convert units within customary and metric systems to solve real problems.
  • MA.5.G.3.a Convert between larger and smaller units in both directions within each system.
• MA.5.G.4 Extend area to fractional sides and build the meaning of volume.
  • MA.5.G.4.a Find the area of a rectangle with fractional sides by tiling with unit-fraction squares and link it to multiplying sides.
  • MA.5.G.4.b Multiply fractional side lengths to find rectangle areas and show fraction products as areas.
  • MA.5.G.4.c Measure the volume of rectangular prisms by counting cubic units with concrete models.
  • MA.5.G.4.d Find the volume of whole-number rectangular prisms with unit cubes and relate it to base area times height.
  • MA.5.G.4.e Solve real problems using V = l × w × h and V = B × h for whole-number rectangular prisms.

Data (D)

• MA.5.D.1 Pose questions and collect, organize and represent data.
• MA.5.D.2 Analyze data and interpret results.
  • MA.5.D.2.a Represent, analyze and solve real problems using tables or line plots with whole numbers and fractions.