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3-N-1-4

Page history last edited by lindsey.deadman@... 5 years, 10 months ago

3.N.1.4 Use place value to compare and order whole numbers up to 100,000, using comparative language, numbers, and symbols

In a Nutshell

This objective students are able to use the skills and strategies taught in second grade with compare and order whole numbers up to 1,000 and begin to use comparative language, numbers and symbols.Students will develop the ability to compare and order whole numbers up to 100,000. They will describe these relationships using symbols and words, such as greater than (>), less than (<), and equal to (=).

Student Actions	Teacher Actions
Demonstrate a flexible understanding by extending their place value knowledge of numbers up to 1,000 and applying it when comparing and ordering numbers up to 100,000. Use mathematical reasoning when comparing and ordering numbers up to 100,000. For example: A student may say “I know that 12,452 is greater than 12,389 because the first number has 4 hundreds and the other number only has 3.” Communicate mathematically using appropriate place value vocabulary and symbols to compare and order numbers, such as less than, greater than, equal to, <, >, =, after, before, between.	Pose purposeful questions to help students recall prior knowledge and justify their thinking. Questions may include: How can we prove a number is greater or less than another number? Can you justify your answer? How do we correctly state a number comparison? Facilitate mathematical discourse with an emphasis on place value. For example: Tell students to compare numbers using the number sentence “____ is greater/less than ____ because ____.” Connect mathematical representations when students compare and order numbers.
Key Understandings	Misconceptions
A number with more digits than another number will be greater. For example: If they are comparing 12,345 and 2,345, they will see that 12,345 has 5 digits and 2,345 has 4 digits. Knowing that the more digits a number has the larger the number, they should be able to recognize that 12,345 is greater than 2,345. The same digit can have different values depending on which place it is in the number. “0” must be recognized as holding a place and not be ignored.	They only need to look at the first or the last digit in a multi-digit number when comparing and ordering numbers. For example: They may think 9,401 is greater than 21,012 because the first number starts with a 9 versus a 2.