5.NR.1Place Value Problem Solving

Expectations

• 5.NR.1.1

  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 $\frac{1}{10}$ of what it represents in the place to its left.

• 5.NR.1.2

  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 $10^3$.

Georgia Milestones coverage

• Mathematics Grade 5 (EOG) · Numerical Reasoning

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

  about 24% of the test · 14 points These points are shared with other standards, so count them once and never add them up per standard.

What mastery looks like

Georgia's Achievement Level Descriptors. The levels are cumulative: each includes the ones before it. Proficient is on grade level.

Beginning

Identify the value of a digit up to 100 times the value or 1/1,000 the value of another digit in a multi-digit number. Use whole-number exponents to denote powers of 10, up to 10³.

Developing

Describe the relationship between two identical digits with different place values as being up to 100 times the value or 1/1,000 the value of the other digit. Use place value understanding to multiply or divide a number by 10, 10², or 10³.

Proficient

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. Explain patterns in the placement of digits when multiplied or divided by a power of 10, up to 10³. Solve real-life, mathematical problems to explain patterns in the place value system.

Distinguished

Solve multi-step, real-life, mathematical problems to explain patterns in the place value system.

The same standard across grades

1. Kindergarten · K.NR.1

   Demonstrate and explain the relationship between numbers and quantities up to 20; connect counting to cardinality (the last number counted represents the total quantity in a set).

2. Grade 1 · 1.NR.1

   Extend the count sequence to 120. Read, write, and represent numerical values to 120 and compare numerical values to 100.

3. Grade 2 · 2.NR.1

   Using the place value structure, explore the count sequences to represent, read, write, and compare numerical values to 1000 and describe basic place-value relationships and structures.

4. Grade 3 · 3.NR.1

   Use place value reasoning to represent, read, write, and compare numerical values up to 10,000 and round whole numbers up to 1,000.

5. Grade 4 · 4.NR.1

   Recognize patterns within the base ten place value system with quantities presented in real-life situations to compare and round multi-digit whole numbers through the hundred-thousands place and compare decimal numbers to the hundredths place.

6. Grade 5 · 5.NR.1 (this standard)

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

7. Grade 6 · 6.NR.1

   Solve relevant, mathematical problems involving operations with whole numbers, fractions, and decimal numbers.

8. Grade 7 · 7.NR.1

   Solve relevant, mathematical problems, including multi-step problems, involving the four operations with rational numbers and quantities in any form (integers, percentages, fractions, and decimal numbers).

9. Grade 8 · 8.NR.1

   Solve problems involving irrational numbers and rational approximations of irrational numbers to explain realistic applications.