Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.
Students are able to…
- Use their understanding of place value and commas separating periods to read numbers accurately up to 1,000,000.
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- Write numbers in multiple forms, including standard, word and various expanded notations.
- Compare numbers using place values, and the number of digits.
- Use >, <, and = when comparing numbers.
Students are able to…because teachers:
- Engage students in a variety of activities giving them opportunities to read, write and model numbers through 1,000,000.
- Provide opportunities to write numbers in expanded form using place value (5,000) and words (five thousand).
- Ask students to discuss and look for generalities in comparison strategies.
Questions to ask students:
- What does the comma in 24,682 represent?
- Sample answer that indicates understanding: The comma represents the separation of the hundreds and thousands periods.
- Sample answer that indicates an incomplete understanding or a misconception: The commas are there every time there are three numbers.
- How do you read the number 246,305?
- Sample answer that indicates understanding: Student reads two hundred forty-six, three hundred five.
- Sample answer that indicates an incomplete understanding or a misconception: Student struggles to understand the comma separates period/group and/or unable to state correct place value of digits.
- What is the value of the 4 in 246,098?
- Sample answer that indicates understanding: The 4 has a value of 4 ten thousands or 40,000.
- Sample answer that indicates an incomplete understanding or a misconception: Any value that doesn’t represent 40,000, such as 4, 40, 400, 4,000, etc.
- How would you represent 246,098 in expanded form?
- Sample answer that indicates understanding: 200,000 + 40,000 + 6,000 + 90 + 8
- Sample answer that indicates an incomplete understanding or a misconception: 2 + 4 + 6 + 0 + 9 + 8
- How do you know that 45,687 is greater than 45,678?
- Sample answer that indicates understanding: The greatest place that can be compared because the digits are not the same is the tens. There are 8 tens in 45,687 and 7 tens in 45,678. This means 45,687 is greater.
- Is the comparison statement true? 23,298 > 23,928. Why or why not?
- Sample answer that indicates understanding: The statement is not true because even though the numbers have the same value in the ten thousands and thousands place, the first number has fewer hundreds then the second number.
- Sample answer that indicates an incomplete understanding or a misconception: The statement is true because both numbers have the same digits or student says anything about an alligator mouth.
FSA Notes
Cognitive Complexity Level: 2 – Basic Application of Skills and Concepts
Achievement Level Descriptors:
2- reads and writes multi-digit whole numbers to the thousands place
3- reads, writes, and compares whole numbers to the hundred-thousandths place, using base-ten numerals, number names, and expanded form
4- reads, writes, and compares multi-digit whole numbers to the millions place using base-ten numerals, number names, and expanded form
5- writes and compares whole numbers in expanded form in multiple formats
Assessment Limits:
Given values and item solutions may only be whole numbers between 1 and 1,000,000.
Items may compare two multi-digit numbers written in any form.
Context: Allowable
Additional Resources:
Additional in depth content knowledge
VideoComparing Multi-digit Numbers – Khan Academy
LearnZillion – Comparing Whole Numbers
Sample Formative Assessment Tasks:
Resources to Help Your Child at Home:
Using a deck of cards or rolling a dice, have your child create a 6 digit number. Have them determine and record the value of each digit. “The 4 is worth 400,000 because it’s located in the hundred thousands place.”
Khan Academy Lesson: Finding Place Value https://goo.gl/XP6u75
Spin a 6 digit number with a spinner or dice. Have your child represent the number in standard, expanded and word form. Then modify to give them a number in expanded form and have them determine the standard and word form, etc.
Khan Academy Lesson: Writing a Number in Expanded Form https://goo.gl/mqrced
Using a deck of cards (Ace represents 1), play Place Value War. Having 2 players, each player chooses 6 cards and creates a 6 digit number. Using place value, work together to determine which number has a greater value. Record the comparison with the symbols <, >, or =. Player with the greatest number wins that round. Continue playing for multiple rounds.
Khan Academy: Comparing Multi-Digit Whole Numbers https://goo.gl/CP3zpe
Khan Academy: Comparing Multi-Digit Whole Numbers Word Problems https://goo.gl/ScptSr