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4th Grade · Math · 4.NBT.A.2

Place Value & Rounding Lesson Plan for 4th Grade

A ready-to-teach place value & rounding lesson for 4th Grade, built around building and reading numbers to 1 million, expanded form and expanded notation, standard form, comparing and ordering numbers, and rounding to any place. Print the plan, print the practice pages, and you are set.

Approximately 45 minutes

Learning objective

  • Identify the value of each digit in a 4-digit number by place
  • Build 4-digit numbers using thousands, hundreds, tens, and ones
  • Compare and write 4-digit numbers in standard and expanded form

Materials

Lesson steps

  1. 1. Warm up together (5 min)

    Open with a quick count-around or number talk that touches place value & rounding. Ask students where they have seen place value & rounding outside of math class. You are listening for who already has the vocabulary and who does not, so keep it light and let several students answer.

  2. 2. Model it (I do) (10 min)

    Work two examples of place value & rounding on the board, thinking out loud the whole way. Say the quiet parts: what you notice first, which step you do next, and why. Deliberately make one small error on the second example and let the class catch it.

  3. 3. Practice together (we do) (10 min)

    Work three more problems as a class. Ask a different student to supply each step rather than the whole answer. If a step stalls, drop back to concrete objects or a drawing before moving on.

  4. 4. Independent practice (you do) (15 min)

    Hand out "Build a 4-digit number". Students work independently while you circulate. Note who is fluent, who is counting on fingers, and who has not started, because that grouping drives tomorrow's small group.

  5. 5. Close the loop (5 min)

    Pull the class back. Ask one student to explain a problem they got right and one to name something that is still confusing. End on the confusion, not the success, so students learn that naming a gap is normal.

Check for understanding

Collect the practice pages and sort them into three piles: fluent, developing, and not yet. Any student in the third pile needs place value & rounding retaught in a small group before the class moves on.

Differentiation

Extra support. Students who stall: pull them into a small group and rebuild place value & rounding with concrete materials or a simpler text before asking for the written work again. Do not send the page home as homework, it will just rehearse the misunderstanding.

Extension. Students who finish early: ask them to write their own place value & rounding problem for a partner to solve, then check the partner's work. Creating a problem is harder than solving one and it surfaces whether they really understand place value & rounding.

Skills covered in this lesson

Build a 4-digit number · Build a 5-digit number · Build a 6-digit number · Missing place value (4 digits) · Missing place value (5 digits) · Missing place value (6 digits) · Expanded form · Expanded notation · Expanded to standard form · Compare numbers to 1 million · Order numbers to 1 million · Round to the nearest 10

Practice pages for this lesson

6 items, 6 printable pages that match the independent-practice step.

Questions teachers ask about teaching place value & rounding

What place value skills do 4th graders learn?
They read and write numbers to 1,000,000 in standard form, expanded form and word form and compare them (CCSS 4.NBT.A.2). They also see that a digit is worth ten times what it is worth one place to the right.
How do 4th graders round large numbers?
They round to any place (4.NBT.A.3): find the place, look at the digit to its right, and round up if it is 5 or more. 365,280 to the nearest hundred thousand is 400,000, and 2,975 to the nearest ten is 2,980.
What is the difference between expanded form and expanded notation?
Expanded form adds the digit values, so 645,142 = 600,000 + 40,000 + 5,000 + 100 + 40 + 2. Expanded notation multiplies each digit by its place value, so 645,142 = (6 x 100,000) + (4 x 10,000) + (5 x 1,000) + (1 x 100) + (4 x 10) + (2 x 1).

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