Build Numbers to 100,000

Overview

In this first lesson of the “Big Numbers, Time, and Data” unit, students build, read, and interpret whole numbers through 100,000 using place-value charts, digit cards, and base-ten visuals. The lesson builds on students’ understanding of numbers through 10,000 and prepares them to compare and use larger whole numbers.

Learning intentions

Students will be able to:

• Build numbers to 100,000 using a place-value chart and digit cards.
• Read and write multi-digit numbers in standard form.
• Identify the place and value of a digit.
• Explain how a digit’s value changes according to its place.

Success criteria

• I can place each digit in the correct place.
• I can read a number through 100,000 aloud.
• I can identify the value of a digit.
• I can check my number using a place-value chart or model.

Curriculum links

• Number and Operations in Base Ten — read, write, and interpret multi-digit whole numbers using place value.
• Measurement and Data — use place-value reasoning to represent and interpret quantities in measurement contexts.
• Mathematical Practices — construct explanations, use representations, and communicate reasoning with a partner.

Lesson structure (30 minutes)

1. 0–4 min · Hook and review. Teacher opens with the opening number challenge showing 4,523 and 45,230 and asks, “How can the same digit have different values?” Students silently notice, then turn and explain what they already know about ones, tens, hundreds, and thousands.

2. 4–11 min · I do: model place value. Teacher displays the place-value modeling slides and models a large color-coded chart with columns for ones, tens, hundreds, thousands, ten-thousands, and hundred-thousands; teacher places base-ten visuals and digit cards while thinking aloud. Students track each digit, repeat the place names, and use gestures or pointing to show the place being named.

Emphasize that a digit’s value depends on its place. For example, in 45,231, the 4 is in the ten-thousands place and represents 40,000. Read the number aloud as “forty-five thousand, two hundred thirty-one.” Clarify that 100,000 is one hundred thousand, not ten thousand.

3. 11–17 min · We do: build teacher-called numbers. Teacher uses the guided practice prompts to call numbers such as 32,106, 70,450, and 98,001, inviting students to move digit cards on the smartboard or indicate where each digit belongs. Students work with a partner on a place-value mat, taking turns as the “builder” and “checker”; the checker asks, “What place is this digit in?” and “What is its value?”

Pause after each number to address zeros as placeholders. Ask students to explain why the zero in 70,450 belongs in the thousands place and why it does not change the value of the other digits.

4. 17–25 min · You do: independent number building. Teacher distributes the build-and-read numbers worksheet and provides each student with a personal place-value mat and digit cards. Students build three numbers, including 60,405, then record each number in standard form, read it aloud to a partner, and identify the value of one highlighted digit.

Circulate among the four partnerships, checking the placement of digits before students write. Ask, “How do you know?” and “What does this digit represent?” Students who finish early may build a number containing at least two zeros and explain the role of each zero.

5. 25–30 min · Check and close. Teacher displays the final review and exit questions and reads the five multiple-choice questions aloud. Students answer independently by circling A, B, or C on the worksheet or showing a response card, then explain one answer to a partner. Review answers briefly: 1—B, 2—B, 3—B, 4—A, 5—B. Close by asking students to complete the sentence, “A digit’s value changes when…”

Resources

• the place-value lesson deck
• the build-and-read numbers worksheet
• Large place-value chart for the board or smartboard
• Color-coded digit cards from 0–9
• Base-ten blocks or place-value disks
• Eight personal place-value mats
• Response cards labeled A, B, and C
• Large-print, high-contrast vocabulary cards
• Pencils and dry-erase markers

Assessment

• During modeling, ask students to identify the place and value of selected digits, especially digits in the ten-thousands and hundred-thousands places.
• During partner and independent work, check that students place digits correctly, interpret zeros as placeholders, and explain their reasoning rather than guessing.
• Use the five-question end-of-lesson check: 45,231—value of 4: B, 40,000; hundreds digit: B, 2; 60,405: B; 7 in 7,210: A, thousands; 100,000: B, one hundred thousand.

Differentiation

• Support students with tactile base-ten blocks, a labeled place-value mat, color matching between chart columns and digit cards, repeated modeling, and reduced answer choices.
• Pair students strategically and assign clear roles: builder, checker, and then switch. Provide sentence frames such as “The ___ is in the ___ place, so its value is ___.”
• For students with dyslexia, read all directions aloud; use large sans-serif print, high contrast, uncluttered charts, generous spacing, and picture vocabulary cards for digit, place value, ones, tens, hundreds, thousands, and ten-thousands.
• Accept AAC responses, pointing, gestures, or oral answers. Allow students to demonstrate a number with blocks before recording it and provide extra processing time.