Nebraska
Skills available for Nebraska fifth-grade math standards
Standards are in black and IXL math skills are in dark green. Hold your mouse over the name of a skill to view a sample question. Click on the name of a skill to practice that skill.
Show alignments for:
- Nebraska's College and Career Ready Standards (adopted in 2022) Nebraska's College and Career Ready Standards (adopted in 2022)
- Nebraska's College and Career Ready Standards Nebraska's College and Career Ready Standards
Actions
N Number
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Students will solve problems and reason with number concepts using multiple representations, make connections within math and across disciplines, and communicate their ideas.
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5.N.1 Numeric Relationships: Students will understand the place value system.
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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.
- Convert between standard and expanded form (5-A.1)
- Place value (5-A.2)
- Writing numbers in words: convert words to digits (5-A.4)
- Writing numbers in words: convert digits to words (5-A.5)
- Spell word names for numbers up to one million (5-A.6)
- What decimal number is illustrated? (5-G.1)
- Place value models for decimal numbers (5-G.3)
- Understanding decimals expressed in words (5-G.4)
- Place values in decimal numbers (5-G.5)
- Convert decimals between standard and expanded form (5-G.7)
- Compose and decompose decimals in multiple ways (5-G.8)
- Equivalent decimals (5-G.9)
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5.N.1.b Recognize a digit in one place represents 1/10 of what it represents in the place to its left.
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5.N.1.c Use whole number exponents to denote powers of 10.
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5.N.2 Fractions and Decimals: Students will extend understanding of fraction and decimal equivalence and ordering.
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5.N.2.a Generate equivalent forms of commonly used fractions and decimals (e.g., halves, fourths, fifths, tenths).
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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.
- Compare numbers up to billions (5-A.3)
- Decimal number lines (5-G.11)
- Compare decimals using grids (5-G.12)
- Compare decimals on number lines (5-G.13)
- Compare decimal numbers (5-G.14)
- Put decimal numbers in order (5-G.15)
- Compare decimals and fractions on number lines (5-G.22)
- Compare decimals and fractions (5-G.23)
- Put a mix of decimals and fractions in order (5-G.26)
- Put a mix of decimals, fractions, and mixed numbers in order (5-G.27)
- Graph and compare fractions on number lines (5-K.8)
- Compare fractions using benchmarks (5-K.9)
- Compare fractions and mixed numbers (5-K.10)
- Put fractions in order (5-K.11)
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5.N.3 Operations with Fractions and Decimals: Students will apply and extend previous understandings of whole number operations to add, subtract, multiply and divide fractions and decimals.
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5.N.3.a Interpret a fraction as division of the numerator by the denominator.
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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.
- Multiply fractions by whole numbers using arrays (5-M.5)
- Multiply fractions by whole numbers using number lines (5-M.6)
- Multiplying fractions by whole numbers: choose the model (5-M.7)
- Multiply fractions by whole numbers using models: complete the equation (5-M.8)
- Multiply fractions by whole numbers I (5-M.11)
- Multiply fractions by whole numbers II (5-M.12)
- Multiply fractions by whole numbers: input/output tables (5-M.14)
- Fractions of a number I (5-M.15)
- Fractions of a number II (5-M.17)
- Multiply two unit fractions using models (5-M.18)
- Multiply two fractions using models (5-M.20)
- Multiply two fractions (5-M.21)
- Multiply a mixed number by a whole number (5-M.36)
- Multiply a mixed number by a fraction (5-M.37)
- Multiply two mixed numbers (5-M.38)
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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.
- Divide unit fractions by whole numbers using models (5-N.1)
- Divide unit fractions by whole numbers (5-N.2)
- Divide whole numbers by unit fractions using models (5-N.3)
- Divide whole numbers by unit fractions (5-N.4)
- Divide unit fractions and whole numbers using area models (5-N.5)
- Divide unit fractions and whole numbers (5-N.6)
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5.N.3.d Solve authentic problems involving addition, subtraction, and multiplication of fractions and mixed numbers with like and unlike denominators.
- Add and subtract fractions with like denominators: word problems (5-L.4)
- Add and subtract fractions with unlike denominators: word problems (5-L.12)
- Add 3 or more fractions: word problems (5-L.14)
- Add and subtract mixed numbers: word problems (5-L.21)
- Add and subtract fractions in recipes (5-L.22)
- Multiply fractions by whole numbers: word problems (5-M.13)
- Multiply two fractions: word problems (5-M.22)
- Multiplication with mixed numbers: word problems (5-M.40)
- Multiply fractions and mixed numbers in recipes (5-M.41)
- Perimeter with fractional side lengths (5-DD.3)
- Area of squares and rectangles (5-DD.5)
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5.N.3.e Add and subtract fractions and mixed numbers with unlike denominators without simplifying.
- Add fractions with unlike denominators using models (5-L.6)
- Add up to 4 fractions with denominators of 10 and 100 (5-L.7)
- Add fractions with unlike denominators (5-L.8)
- Subtract fractions with unlike denominators using models (5-L.9)
- Subtract fractions with unlike denominators (5-L.11)
- Add 3 or more fractions with unlike denominators (5-L.13)
- Complete addition and subtraction sentences with fractions (5-L.16)
- Add mixed numbers with unlike denominators (5-L.19)
- Subtract mixed numbers with unlike denominators (5-L.20)
- Complete addition and subtraction sentences with mixed numbers (5-L.23)
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5.N.3.f Solve authentic problems involving division of unit fractions by whole numbers and division of whole numbers by unit fractions.
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5.N.3.g Add and subtract decimals to hundredths using strategies based on place value, properties of operations, and/or algorithms.
- Add decimal numbers using blocks (5-H.1)
- Add decimal numbers (5-H.2)
- Subtract decimal numbers using blocks (5-H.)
- Subtract decimal numbers (5-H.3)
- Add and subtract decimal numbers (5-H.4)
- Choose decimals with a particular sum or difference (5-H.6)
- Complete the decimal addition or subtraction sentence (5-H.7)
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A Algebra
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Students will solve problems and reason with algebra using multiple representations, make connections within math and across disciplines, and communicate their ideas.
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5.A.1 Operations and Algebraic Thinking: Students will extend understanding of division and apply operational properties to solve problems involving order of operations.
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5.A.1.a Multiply multi-digit whole numbers using an algorithm.
- Multiply by 2-digit numbers: complete the missing steps (5-C.13)
- Multiply 2-digit numbers by 2-digit numbers (5-C.14)
- Multiply 2-digit numbers by 3-digit numbers (5-C.15)
- Multiply 2-digit numbers by larger numbers (5-C.16)
- Multiply by 2-digit numbers: word problems (5-C.17)
- Multiply three or more numbers up to 2 digits each (5-C.18)
- Multiply by 3-digit numbers (5-C.19)
- Multiply three numbers up to 3 digits each (5-C.20)
- Multiply three or more numbers: word problems (5-C.21)
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5.A.1.b Divide four-digit whole numbers by a two-digit divisor, with and without remainders, using strategies based on place value.
- Divide numbers ending in zeroes (5-D.7)
- Divide numbers ending in zeroes: word problems (5-D.8)
- Divide by 2-digit numbers using models (5-D.12)
- Divide by 2-digit numbers using partial quotients (5-D.13)
- Divide 2-digit and 3-digit numbers by 2-digit numbers (5-D.14)
- Divide 2-digit and 3-digit numbers by 2-digit numbers: word problems (5-D.15)
- Divide 4-digit numbers by 2-digit numbers (5-D.16)
- Divide 4-digit numbers by 2-digit numbers: word problems (5-D.17)
- Multi-step word problems: multiplicative comparison (5-D.19)
- Relate multiplication and division (5-D.20)
- Choose numbers with a particular quotient (5-D.22)
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5.A.1.c Justify the reasonableness of computations involving whole numbers, fractions, and decimals.
- Estimate sums and differences of whole numbers (5-B.8)
- Estimate sums and differences: word problems (5-B.9)
- Estimate products (5-C.9)
- Estimate products: word problems (5-C.10)
- Estimate quotients (5-D.10)
- Estimate quotients: word problems (5-D.11)
- Estimate sums and differences of decimals using rounding (5-H.9)
- Estimate sums and differences of decimals using benchmarks (5-H.10)
- Estimate sums and differences of fractions using benchmarks (5-L.10)
- Estimate sums and differences of mixed numbers (5-L.18)
- Estimate products of mixed numbers (5-M.32)
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5.A.1.d Simplify authentic numerical or algebraic expressions using order of operations (excluding exponents).
- Evaluate numerical expressions (5-O.5)
- Evaluate numerical expressions with parentheses (5-O.6)
- Evaluate numerical expressions with parentheses and brackets (5-O.7)
- Identify mistakes involving the order of operations (5-O.8)
- Evaluate numerical expressions with parentheses in different places (5-O.9)
- Evaluate variable expressions (5-U.3)
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G Geometry
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Students will solve problems and reason with geometry using multiple representations, make connections within math and across disciplines, and communicate their ideas.
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5.G.1 Shapes and Their Attributes: Students will classify two-dimensional figures into categories based on their properties.
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5.G.1.a Identify and describe faces, edges, and vertices of rectangular prisms.
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5.G.1.b Recognize volume as an attribute of solid figures that is measured in cubic units.
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5.G.1.c Justify the classification of two and three-dimensional figures in a hierarchy based on their properties.
- Is it a polygon? (5-Z.1)
- Number of sides in polygons (5-Z.2)
- Regular and irregular polygons (5-Z.3)
- Sort polygons into Venn diagrams (5-Z.9)
- Properties of polygons (5-Z.10)
- Acute, obtuse, and right triangles (5-AA.1)
- Scalene, isosceles, and equilateral triangles (5-AA.2)
- Classify triangles (5-AA.3)
- Parallel sides in quadrilaterals (5-AA.4)
- Identify parallelograms (5-AA.5)
- Identify trapezoids (5-AA.6)
- Identify rectangles (5-AA.7)
- Identify rhombuses (5-AA.8)
- Classify quadrilaterals (5-AA.9)
- Identify the relationships between quadrilaterals (5-AA.11)
- Describe relationships among quadrilaterals (5-AA.12)
- Identify three-dimensional figures (5-CC.1)
- Count vertices, edges, and faces (5-CC.2)
- Nets of three-dimensional figures (5-CC.3)
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5.G.2 Coordinate Geometry: Graph points on the coordinate plane to solve authentic problems.
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5.G.2.a Identify the origin, x axis, and y axis of the coordinate plane.
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5.G.2.b Graph and name points in the first quadrant of the coordinate plane using ordered pairs of whole numbers.
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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.
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5.G.3 Measurement: Generate conversions within the customary and metric systems of measurement to solve authentic problems.
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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.
- Compare and convert customary units of length (5-Y.2)
- Compare and convert customary units of weight (5-Y.3)
- Compare and convert customary units of volume (5-Y.4)
- Compare and convert customary units (5-Y.5)
- Conversion tables - customary units (5-Y.6)
- Compare customary units by multiplying (5-Y.7)
- Convert customary units involving fractions (5-Y.8)
- Convert mixed customary units (5-Y.9)
- Add and subtract mixed customary units (5-Y.10)
- Multi-step problems with customary unit conversions (5-Y.11)
- Compare and convert metric units of length (5-Y.13)
- Compare and convert metric units of weight (5-Y.14)
- Compare and convert metric units of volume (5-Y.15)
- Compare and convert metric units (5-Y.16)
- Convert metric units involving decimals (5-Y.17)
- Conversion tables - metric units (5-Y.18)
- Convert metric mixed units (5-Y.19)
- Add and subtract metric mixed units (5-Y.20)
- Multi-step problems with metric unit conversions (5-Y.21)
- Multi-step problems with customary or metric unit conversions (5-Y.22)
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5.G.4 Area and Volume: Students will extend area problems for rectangles to include fractions and build meaning for measuring volume.
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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.
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5.G.4.b Multiply fractional side lengths to find areas of rectangles and represent fraction products as rectangular areas.
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5.G.4.c Use concrete models to measure the volume of rectangular prisms by counting cubic units.
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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.
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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.
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D Data
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Students will solve problems and reason with data/probability using multiple representations, make connections within math and across disciplines, and communicate their ideas.
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5.D.1 Data Collection: Students will formulate questions to collect, organize, and represent data.
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5.D.2 Analyze Data and Interpret Results: Students will analyze the data and interpret the results.
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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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