4.NR.1Whole & Decimal Place Value

Expectations

• 4.NR.1.1

  Read and write multi-digit whole numbers to the hundred-thousands place using base-ten numerals and expanded form.

• 4.NR.1.2

  Recognize and show that a digit in one place has a value ten times greater than what it represents in the place to its right and extend this understanding to determine the value of a digit when it is shifted to the left or right, based on the relationship between multiplication and division.

• 4.NR.1.3

  Use place value reasoning to represent, compare, and order multi-digit numbers, using >, =, and < symbols to record the results of comparisons.

• 4.NR.1.4

  Use place value understanding to round multi-digit whole numbers.

Georgia Milestones coverage

• Mathematics Grade 4 (EOG) · Numerical Reasoning

  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.

  about 12% of the test · 7 points

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

Given a whole number to the hundred-thousands place in base ten numerals or expanded form, identify the other form of that number. Recognize that a digit in one place in a whole number has a value that is 10 times greater than the value of the same digit one place to the right. Given a visual representation, compare two multi-digit whole numbers to the hundred-thousands place using >, =, and < symbols. Given a visual aid, such as a number line, round multi-digit whole numbers to the 1,000s, 10,000s, or 100,000s.

Developing

Given a whole number to the hundred-thousands place in base ten numerals or expanded form, create the other form of that number. Recognize that a digit in one place in a whole number has a value that is 1/10 the value of the same digit one place to the left. Compare two multi-digit whole numbers to the hundred-thousands place using >, =, and < symbols. Round multi-digit whole numbers to the 1,000s, 10,000s, or 100,000s.

Proficient

Determine the value of a digit in a whole number when the digit is shifted to the left or right. Compare and order three to five multi-digit whole numbers to the hundred-thousands place using >, =, and < symbols. Round multi-digit whole numbers to any place up to the hundred-thousands place to solve real-life mathematical problems.

Distinguished

Compare and order up to five multi-digit whole numbers to the hundred-thousands place to solve real-life mathematical problems.

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 (this standard)

   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

   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.