Place Value, Addition and Subtraction
Students will deepen their understandings of place value by investigating numbers up to 1,000,000. Students will explore the values of digits and the relationships between digits. Students will also compare, round, add, and subtract numbers using strategies based on place value.
Essential Outcomes
Number and Operations in Base Ten
- NY-4.NBT.4: Fluently add and subtract multi-digit whole numbers using a standard algorithm. Note: Grade 4 expectations are limited to whole numbers less than or equal to 1,000,000.
Other Standards Addressed in this Unit
Number and Operations in Base Ten
- NY-4.NBT.1: Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right. e.g., Recognize that 70 × 10 = 700 (and, therefore, 700 ÷ 10 = 70) by applying concepts of place value, multiplication, and division. Note: Grade 4 expectations are limited to whole numbers less than or equal to 1,000,000.
- NY-4.NBT.2a: Read and write multi-digit whole numbers using base- ten numerals, number names, and expanded form. e.g., 50,327 = 50,000 + 300 + 20 + 7
- NY-4.NBT.2b: Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons. Note: Grade 4 expectations are limited to whole numbers less than or equal to 1,000,000.
- NY-4.NBT.3: Use place value understanding to round multi-digit whole numbers to any place. Note: Grade 4 expectations are limited to whole numbers less than or equal to 1,000,000.
Essential Questions and Big Ideas
- How does understanding place value help you to understand numbers, compare numbers, and recognize their relationships to powers of ten?
- A number is made of digits which are in different place values which dictate their value.
- When comparing numbers, the larger place values carry more weight.
- When rounding numbers you’re considering “about how many” of a certain place value the number is.
- To round a number, consider how many of that place value a number has and then look above for the next largest.
- How does the value of the digit in a number change when it moves places?
- A digit in one place represents ten times what it represents in the place to its right.
- What are efficient strategies to add multi-digit whole numbers?
- When you make more than 9 of a place value, you regroup to the largest place value.
- You can use the standard algorithm to add multi-digit numbers.
- What are efficient strategies to subtract multi-digit whole numbers?
- If you do not have enough of a place value to subtract, you can regroup a larger place value.
- You can use the standard algorithm to subtract multi-digit numbers.
Download the complete Grade 4 Math Unit 1 framework to customize for your own planning.