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STANDARDS

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US-GA

Math

Georgia Math

Grade 5: Numerical Reasoning – Place Value, Multiplying By Powers Of 10, Multiplication and Division Of Multi-Digit Numbers, Fractions, Decimal Numbers, Numerical Expressions

5.NR.1

Use place value understanding to solve real-life, mathematical problems.

5.NR.1.1

Fully covered
Explain that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

5.NR.1.2

Fully covered
Explain patterns in the placement of digits when multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10, up to 10^3.

5.NR.2

Multiply and divide multi-digit whole numbers to solve relevant, mathematical problems.

5.NR.2.1

Fully covered
Fluently multiply multi-digit (up to 3-digit by 2-digit) whole numbers to solve authentic problems.

5.NR.2.2

Fully covered
Fluently divide multi-digit whole numbers (up to 4-digit dividends and 2-digit divisors no greater than 25) to solve practical problems.

5.NR.3

Describe fractions and perform operations with fractions to solve relevant, mathematical problems using part-whole strategies and visual models.

5.NR.3.1

Fully covered
Explain the meaning of a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.

5.NR.3.2

Not covered
Compare and order up to three fractions with different numerators and/or different denominators by flexibly using a variety of tools and strategies.
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5.NR.3.3

Fully covered
Model and solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators.

5.NR.3.4

Fully covered
Model and solve problems involving multiplication of a fraction and a whole number.

5.NR.3.5

Fully covered
Explain why multiplying a whole number by a fraction greater than one results in a product greater than the whole number, and why multiplying a whole number by a fraction less than one results in a product less than the whole number and multiplying a whole number by a fraction equal to one results in a product equal to the whole number.

5.NR.3.6

Fully covered
Model and solve problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.

5.NR.4

Read, write, and compare decimal numbers to the thousandths place, and round and perform operations with decimal numbers to the hundredths place to solve relevant, mathematical problems.

5.NR.4.1

Fully covered
Read and write decimal numbers to the thousandths place using base-ten numerals written in standard form and expanded form.

5.NR.4.2

Fully covered
Represent, compare, and order decimal numbers to the thousandths place based on the meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

5.NR.4.3

Fully covered
Use place value understanding to round decimal numbers to the hundredths place.

5.NR.4.4

Fully covered
Solve problems involving addition and subtraction of decimal numbers to the hundredths place using a variety of strategies.

5.NR.5

Write, interpret, and evaluate numerical expressions within authentic problems.

5.NR.5.1

Fully covered
Write, interpret, and evaluate simple numerical expressions involving whole numbers with or without grouping symbols to represent actual situations.