Round to Any Place

Overview

In this sixth lesson of the 18-lesson unit “Big Numbers, Time, and Data,” students use place value to round whole numbers to the nearest hundred, thousand, and ten-thousand. They build on their understanding of multi-digit numbers and compare the target digit with the digit immediately to its right.

Learning intentions

Students will be able to:

• State the target place when rounding a number.
• Identify the digit to check.
• Round up when the checking digit is 5 or greater and round down when it is less than 5.
• Explain why all digits to the right of the target place become zero.

Success criteria

• I can identify the target place.
• I can circle and check the next digit.
• I can decide whether to round up or round down.
• I can change all digits to the right of the target place to zero.

Curriculum links

• Number and Operations in Base Ten — read, write, compare, and use the value of multi-digit whole-number digits.
• Measurement and Data — solve problems using whole-number operations and represent quantities clearly.
• Georgia’s Common Core-aligned expectations for place value and rounding support accurate computation and mathematical explanation.

Lesson structure (30 minutes)

1. 0–4 min · Hook and connect. Open the hook and review slide and display 4,678, asking, “Would 4,678 be closer to 4,600 or 4,700?” Students show a choice with fingers, turn and talk, and explain which digit helped them decide. Briefly review the value of the hundreds and tens digits.

2. 4–10 min · I do: model the process. Use the place-value slider modeling slides to model rounding 4,678 to the nearest hundred. Teacher slides a target-place window to the hundreds, circles the tens digit as the digit to check, uses a round-up or round-down arrow, and changes the remaining digits to zero. Repeat briefly with 12,499 to the nearest thousand, emphasizing that 4 is less than 5. Students echo the steps and identify the target and checking digits orally.

3. 10–16 min · We do: move the window. Display the guided practice slides and give each pair a place-value slider or movable digit overlays. Teacher presents 76,201 and asks students to round to the nearest ten-thousand, then 8,950 to the nearest hundred. Students drag the target-place window, circle or cover the checking digit, select a round-up or round-down arrow, and explain their answer to a partner. Pause after each example to check all eight students’ target places before discussing answers.

4. 16–23 min · You do: guided worksheet practice. Distribute the rounding practice worksheet and read every item aloud. Students use the step-by-step card printed on the worksheet to round a small set to the nearest hundred, thousand, and ten-thousand. Teacher conferences with students one at a time, prompting: “What is your target place?” and “Which digit do you check?” Students may use calculator checking after recording their reasoning.

5. 23–27 min · Explain and correct. Use the error-analysis and discussion slides to show one incorrect response, such as rounding 34,501 to 35,000 when rounding to the nearest thousand. Students identify the error, correct it, and explain that the hundreds digit is 5, so the thousands digit rounds up. Teacher listens for accurate vocabulary: nearest thousand, digit to check, round up, and round down.

6. 27–30 min · Exit assessment. Students independently complete the five-item check on the rounding practice worksheet or on its exit section. Teacher collects responses and asks students to underline the target digit and circle the digit to check on one selected item.

Resources

• the complete rounding slide deck
• the rounding practice worksheet
• Place-value sliders or strips
• Movable digit overlays
• Round-up and round-down arrows
• Pencils and colored pencils
• Optional calculators for checking
• Small whiteboards or response cards

Assessment

• During modeling and partner work, check whether students identify the correct target place and next digit before calculating.
• Review worksheet reasoning, not only final answers; record students needing reteaching on one target place.
• Exit assessment answers: 1. B, 2. A, 3. C, 4. B, 5. B. Look for the full process: target place, digit to check, rounding decision, and zeros.

Differentiation

• Support students by teaching one target place at a time, using a consistent three-step template, movable digit overlays, and verbal choices such as “round up or round down?”
• Bold the target digit and checking digit on all displayed and printed examples. Use large, clear sans-serif print, generous spacing, and avoid crowded pages for dyslexia-friendly access.
• Read every direction and item aloud; allow students to respond orally, point to choices, or explain with a partner before writing. Provide sentence starters: “The target place is ___ because…” and “I round ___ because the checking digit is ___.”
• Extend ready students by asking them to create two different numbers that round to 50,000 to the nearest ten-thousand and justify the range of possible numbers.