When teaching this concept, my goal is to expand my students’ thinking and see if they truly do understand that expanded form is just breaking a number apart according to its place value. Call attention to similarities and differences in the explanations that students provide and ensure that all students understand the main idea that when you break down 472, you have 4 hundreds, 7 tens, and 2 ones. For example, the number 472 in expanded form is 400 + 70 + 2.Īfter students break a number down into its place values, ask them how they came up with their expressions. Writing a number in expanded form is the process of breaking a number apart based off place value. This is where we introduce students to the process of breaking down numbers and writing them in expanded form. Fluently add and subtract within 1,000 (Grade 3).Read and write numbers to 1,000 in expanded form (Grade 2).Understand place value up to 1,000 (Grade 2).Second grade is when we really take a deeper dive into the importance of the number 10 and the concept of place value. As students advance, they will continue to build upon their knowledge of numbers and learn that just as important as putting numbers together is the ability to break numbers apart.īreaking Apart by Place Value (Grades 2–3) In this way, counting is partly putting numbers together, that is putting numbers into a basic structure that can be used across all of math. Then they can count objects by using one-to-one correspondence and understanding one more and one less. They begin by memorizing the numbers, then use number recognition to correctly order them.
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The beginning of many children’s mathematical careers is in kindergarten, when they first learn how to count. Once we move on to a new unit or topic, it was as if everything we just worked on (for what felt like forever!) just vanished out of their minds. The need to reteach lessons and fill in missing gaps can be overwhelming. ICLE (International Center for Leadership in Education)Ĭustomer Service & Technical Support PortalĪs a math teacher who works with students from kindergarten through fifth grade daily, I recognize the struggle students have with retaining math concepts, even ones that began in kindergarten.
Into Algebra 1, Geometry, Algebra 2, 8-12 Science & Engineering Leveled Readers, K-5
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