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STANDARDS

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US-NE

Math

Nebraska Math

Grade 5: NUMBER

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

5.N.1

Numeric Relationships: Students will understand the place value system.

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

Fractions and Decimals: Students will extend understanding of fraction and decimal equivalence and ordering.

5.N.2.a

Generate equivalent forms of commonly used fractions and decimals (e.g., halves, fourths, fifths, tenths).

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

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.

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 fractions by whole numbers and division of whole numbers by unit fractions.
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5.N.3.g

Add, subtract, multiply, and divide decimals to hundredths using strategies based on place value, properties of operations, and/or algorithms.