4.NR.2Whole Number Operations

Expectations

• 4.NR.2.1

  Fluently add and subtract multi-digit numbers to solve practical, mathematical problems using place value understanding, properties of operations, and relationships between operations.

• 4.NR.2.2

  Interpret, model, and solve problems involving multiplicative comparison.

• 4.NR.2.3

  Solve relevant problems involving multiplication of a number with up to four digits by a 1-digit whole number or involving multiplication of two two-digit numbers using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

• 4.NR.2.4

  Solve authentic division problems involving up to 4-digit dividends and 1- digit divisors (including whole number quotients with remainders) using strategies based on place-value understanding, properties of operations, and the relationships between operations.

• 4.NR.2.5

  Solve multi-step problems using addition, subtraction, multiplication, and division involving whole numbers. Use mental computation and estimation strategies to justify the reasonableness of solutions.

Georgia Milestones coverage

• Mathematics Grade 4 (EOG) · Numerical Reasoning

  Using part-whole strategies, solve problems involving addition and subtraction through the hundred-thousands place, as well as multiplication and division of multi-digit whole numbers presented in real-life, mathematical situations.

  about 14% of the test · 8 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 visual representation, solve problems involving multiplicative comparison. Multiply multi-digit whole numbers (up to 4 digits) by single-digit whole numbers.

Developing

Add and subtract multi-digit whole numbers to the hundred-thousands place. Solve multiplicative comparison problems. Multiply multi-digit whole numbers (2 digits by 2 digits). Divide multi-digit whole numbers (up to 4-digit dividends) by single-digit whole numbers (1-digit divisors).

Proficient

Add and subtract multi-digit whole numbers within 100,000 to solve real-life mathematical problems. Interpret and solve real-life mathematical problems involving multiplicative comparison using an expression or visual representation. Multiply multi-digit whole numbers (up to 4 digits) by single-digit numbers or multiply 2 two-digit whole numbers to solve real-life mathematical problems. Divide multi-digit whole numbers (up to 4-digit dividends) by single-digit whole numbers (1-digit divisors) to solve real-life mathematical problems. Justify the reasonableness of solutions using mental computation and estimation strategies.

Distinguished

Use multiple operations (addition, subtraction, multiplication, and division) with multi-digit whole numbers to solve real-life multi-step mathematical problems.

The same standard across grades

1. Kindergarten · K.NR.2

   Use count sequences within 100 to count forward and backward in sequence.

2. Grade 1 · 1.NR.2

   Explain the relationship between addition and subtraction and apply the properties of operations to solve real-life addition and subtraction problems within 20.

3. Grade 2 · 2.NR.2

   Apply multiple part-whole strategies, properties of operations and place value understanding to solve real-life, mathematical problems involving addition and subtraction within 1,000.

4. Grade 4 · 4.NR.2 (this standard)

   Using part-whole strategies, solve problems involving addition and subtraction through the hundred-thousands place, as well as multiplication and division of multi-digit whole numbers presented in real-life, mathematical situations.

5. Grade 5 · 5.NR.2

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

6. Grade 6 · 6.NR.2

   Apply operations with whole numbers, fractions and decimals within relevant applications.

7. Grade 8 · 8.NR.2

   Solve problems involving radicals and integer exponents including relevant application situations; apply place value understanding with scientific notation and use scientific notation to explain real phenomena.