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STANDARDS

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US-NE

Math

Nebraska Math

Grade 4: NUMBER

Students will solve problems and reason with number concepts using multiple representations, make connections within math and across disciplines, and communicate their ideas.

4.N.1

Numeric Relationships: Students will demonstrate and represent multi-digit numbers using relationships with the base-ten number system.

4.N.1.a

Read, write, and demonstrate multiple equivalent representations for whole numbers up to 1,000,000 and decimals to the hundredths using visual representations, standard form, and expanded form.

4.N.1.b

Represent and justify comparisons of whole numbers up to 1,000,000 and decimals through the hundredths place using number lines and reasoning strategies.

4.N.1.c

Recognize a digit in one place represents ten times what it represents in the place to its right.

4.N.1.d

Use decimal notation for fractions with denominators of 10 or 100 (e.g., 43/100 = 0.43).

4.N.2

Fractions and Decimals: Students will extend understanding of fractions by equivalence and ordering and will develop an understanding of decimals.

4.N.2.a

Explain and demonstrate how a mixed number is equivalent to a fraction greater than one and how a fraction greater than one is equivalent to a mixed number using visual fraction models and reasoning strategies.

4.N.2.b

Explain and demonstrate how equivalent fractions are generated by multiplying by a fraction equivalent to 1 using visual fraction models and the Identity Property of Multiplication.

4.N.2.c

Compare and order fractions having unlike numerators or denominators using number lines, benchmarks, reasoning strategies, and/or equivalence.

4.N.3

Operations with Fractions: Students will understand and demonstrate fractional computation.

4.N.3.a

Decompose a fraction into a sum of fractions with the same denominator in more than one way and record each decomposition with an equation and a visual representation.

4.N.3.b

Explain the meaning of addition and subtraction of fractions with like denominators using visual fraction models, properties of operations, and reasoning strategies.

4.N.3.c

Add and subtract fractions and mixed numbers with like denominators.

4.N.3.d

Solve authentic problems involving addition and subtraction of fractions and mixed numbers with like denominators.

4.N.3.e

Multiply a fraction by a whole number using visual fraction models and properties of operations.

4.N.4

Factors and Multiples: Students will find factors and multiples and classify numbers as prime or composite.

4.N.4.a

Determine whether a given whole number up to 100 is a multiple of a given one-digit number.

4.N.4.b

Determine factors of any whole number up to 100 and classify a number up to 100 as prime or composite.