3.2.D
The Standard
compare and order whole numbers up to 100,000 and represent comparisons using the symbols >, <, or =
Texas Essential Knowledge and Skills for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students compare multi-digit numbers by checking digits from the greatest place value to the least. They arrange sets of numbers in order and record each comparison with the correct symbol.
What Mastery Looks Like
- A student correctly orders mixed four-digit and five-digit numbers, including numbers with zeros in the middle. The student names the first place where digits differ and uses >, <, or = accurately.
Common Misconceptions
- Students may compare digits from the ones place or focus on the largest digit anywhere in each number. They may reverse the comparison symbols or overlook a zero as a place-value holder.
How to Assess It
- Give students 42,905, 42,590, and 40,925. Ask them to order the numbers, complete 42,905 __ 42,590, and name the first place where digits differ.
Lesson moves
Ways to Teach It
Give pairs place-value cards to build 38,406 and 38,640, then place the numbers on a least-to-greatest floor line.
Ask, "Which is greater, 67,089 or 67,098, and which place proves it?" Students write a two-sentence explanation.
Students draw five digit cards, build the greatest possible number, and compare it with a partner's number to earn a point.
Provide populations for four nearby towns and have students order them, then write two comparison statements about the data.
Keep exploring
Related Standards
- 4.2.C
compare and order whole numbers to 1,000,000,000 and represent comparisons using the symbols >, <, or =
- 1.2.G
represent the comparison of two numbers to 100 using the symbols >, <, or =
- 5.2.B
compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =
- 2.2.D
use place value to compare and order whole numbers up to 1,200 using comparative language, numbers, and symbols (>, <, or =)
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