Nebraska Standards
Nebraska 5th grade math standards
Every 5th grade math standard in the Nebraska’s College and Career Ready Standards for Mathematics 2022, in Nebraska's order, with the Lux lessons that teach it.
Number and Operations in Base Ten
- 5.N.1.a
Read, write, and demonstrate multiple equivalent representations for multi-digit whole numbers and decimals through the thousandths place using standard form and expanded form.
- 5.N.1.b
Recognize a digit in one place represents 1/10 of what it represents in the place to its left.
- 5.N.1.c
Use whole number exponents to denote powers of 10.
- 5.N.2.b
Represent and justify comparisons of whole numbers, fractions, mixed numbers, and decimals through the thousandths place using number lines, reasoning strategies, and/or equivalence.
- 5.N.3.g
Add and subtract decimals to hundredths using strategies based on place value, properties of operations, and/or algorithms.
- 5.A.1.a
Multiply multi-digit whole numbers using an algorithm.
- 5.A.1.b
Divide four-digit whole numbers by a two-digit divisor, with and without remainders, using strategies based on place value.
Number and Operations—Fractions
- 5.N.2.a
Generate equivalent forms of commonly used fractions and decimals (e.g., halves, fourths, fifths, tenths).
- 5.N.3.a
Interpret a fraction as division of the numerator by the denominator.
- 5.N.3.b
Multiply a whole number by a fraction or a fraction by a fraction, including mixed numbers, using visual fraction models and properties of operations.
- 5.N.3.c
Divide a unit fraction by a whole number and a whole number by a unit fraction using visual fraction models and properties of operations.
- 5.N.3.d
Solve authentic problems involving addition, subtraction, and multiplication of fractions and mixed numbers with like and unlike denominators.
- 5.N.3.e
Add and subtract fractions and mixed numbers with unlike denominators without simplifying.
- 5.N.3.f
Solve authentic problems involving division of unit fractions by whole numbers and division of whole numbers by unit fractions.
Taught inFraction division stories - 5.A.1.c
Justify the reasonableness of computations involving whole numbers, fractions, and decimals.
- 5.G.4.a
Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the fraction side lengths and show that the area is the same as would be found by multiplying the side lengths.
Taught inArea with fraction sides - 5.G.4.b
Multiply fractional side lengths to find areas of rectangles and represent fraction products as rectangular areas.
Operations and Algebraic Thinking
- 5.A.1.d
Simplify authentic numerical or algebraic expressions using order of operations (excluding exponents).
Geometry
- 5.G.1.a
Identify and describe faces, edges, and vertices of rectangular prisms.
- 5.G.1.c
Justify the classification of two and three-dimensional figures in a hierarchy based on their properties.
- 5.G.2.a
Identify the origin, x axis, and y axis of the coordinate plane.
- 5.G.2.b
Graph and name points in the first quadrant of the coordinate plane using ordered pairs of whole numbers.
- 5.G.2.c
Form ordered pairs from authentic problems involving rules or patterns, graph the ordered pairs in the first quadrant on a coordinate plane, and interpret coordinate values in the context of the situation.
Measurement and Data
- 5.G.1.b
Recognize volume as an attribute of solid figures that is measured in cubic units.
- 5.G.3.a
Generate conversions in authentic mathematical situations from larger units to smaller units and smaller units to larger units, within the customary and metric systems of measurement.
- 5.G.4.c
Use concrete models to measure the volume of rectangular prisms by counting cubic units.
- 5.G.4.d
Find the volume of a rectangular prism with whole-number side lengths by modeling with unit cubes and show that the volume can be additive and is the same as would be found by multiplying the area of the base times height.
- 5.G.4.e
Solve authentic problems by applying the formulas V = l × w × h and V = B × h for rectangular prisms to find volumes of rectangular prisms with whole number edge lengths.
- 5.D.2.a
Represent, analyze, and solve authentic problems using information presented in one or more tables or line plots including whole numbers and fractions.
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