# 8. Compare numbers using expanded notation (C)

teaches Common Core State Standards CCSS.Math.Content.2.NBT.A.4 http://corestandards.org/Math/Content/2/NBT/A/4
teaches Common Core State Standards CCSS.Math.Practice.MP7 http://corestandards.org/Math/Practice/MP7

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Lesson objective: Understand that we look to the hundreds place first when comparing three-digit numbers.

Students bring prior knowledge of comparing two-digit numbers from 1.NBT.B.3. This prior knowledge is extended to comparing three-digit numbers as students use knowledge of place value and look at the hundreds place first. A conceptual challenge students may encounter is identifying numbers that could be less than a number with a one in the hundreds place.

The concept is developed through work with a place value chart which helps to remind students the value of each digit.

This work helps students deepen their understanding of equivalence because students compare numbers based on the value of individual digits.

Students engage in Mathematical Practice 7 (Look for and make use of structure) as they apply prior knowledge of place value and look for patterns in how we how we compare numbers and how the value of a number can change.

Key vocabulary:

• compare
• equal/equivalent
• greater
• hundreds
• less
• ones
• place value
• tens
• value

Special materials needed:

• base ten blocks (for students who need extra support)
• one place value mat for each student or each pair of students
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