Compare Numbers to 1,000

Overview

In Lesson 10 of 18 in Math Explorers: Measure, Graph, Solve, students use place-value models and symbols to compare three-digit numbers. They build on understanding hundreds, tens, and ones by comparing the hundreds first, then the tens and ones when needed.

Learning intentions

• Students will be able to compare numbers up to 1,000.
• Students will be able to use blocks, number cards, and place-value reasoning to compare numbers.
• Students will be able to use the symbols (>), (<), and (=) correctly.
• Students will be able to explain their comparison using hundreds, tens, and ones.

Success criteria

• I can compare the hundreds first.
• I can compare the tens and ones if the hundreds are equal.
• I can choose the correct symbol: (>), (<), or (=).
• I can compare correctly in at least 4 of 5 examples.

Curriculum links

• Place value: understanding that three-digit numbers represent hundreds, tens, and ones.
• Measurement and Data: using mathematical representations to organize and interpret information.
• Operations and Algebraic Thinking: explaining comparisons and solving simple comparison situations with mathematical symbols.
• Georgia Standards of Excellence, Common Core-aligned Grade 2 mathematics expectations for place value, comparison, and mathematical reasoning.

Lesson structure (30 minutes)

1. 0–4 min · Hook and learning goal. Open with the comparison hook and learning goal. Display 423 and 398 and ask, “Which number is greater? How can you prove it?” Students make a quiet prediction, then share their reasoning with the group. Introduce: “I can compare numbers up to 1,000.”

2. 4–10 min · Teacher modeling. Use base-ten blocks or a place-value chart to build 423 and 398. Think aloud: “I compare the hundreds first. Four hundreds is greater than three hundreds, so 423 is greater than 398.” Record (423 > 398), read it aloud, and briefly connect the wide side of the symbol to the greater number. Students help identify the hundreds, tens, and ones and explain why the tens and ones are not needed in this example. Refer to the place-value modeling slides.

3. 10–16 min · Guided comparison. Give each student number cards and access to base-ten blocks or place-value drawings. Show pairs such as 562 and 526, 417 and 417, and 708 and 780. Students build or sketch each number, compare hundreds first, then tens and ones, and place a large (>), (<), or (=) symbol between the cards. Prompt: “What is the first digit that is different?” Students explain their choice before the group checks it using the guided practice prompts.

4. 16–24 min · Independent practice. Distribute the five-question number comparison worksheet. Students solve the five assessment pairs independently, using blocks, a place-value chart, or a number line when helpful. Read each number and direction aloud. The questions include: 423 versus 398; 506 versus 560; 700 versus 700; 812 versus 712; and 245 versus 254. Circulate and ask individual students to explain which place helped them decide. Encourage students to highlight the first different digit.

5. 24–28 min · Discuss and correct. Display the answer-check and explanation slides. Students compare answers with a partner, then justify each answer using complete statements such as “423 is greater than 398 because 4 hundreds is greater than 3 hundreds.” Address the misconception that a number with a larger ones digit is always greater. Remind students that the hundreds place has the greatest value, followed by tens, then ones.

6. 28–30 min · Exit reflection. Finish with the traffic-light check-in exit ticket. Students select STOP, SLOW, or GO and complete a brief response: “I compare ___ first,” and “One symbol I can use is ___.” Invite each student to read one response aloud or explain it verbally.

Resources

• the comparison and place-value slide deck
• the five-question number comparison worksheet
• Base-ten blocks or place-value disks
• Hundreds, tens, and ones place-value chart
• Three large comparison symbols: (>), (<), and (=)
• Three sets of three-digit number cards
• Pencils, crayons, and highlighters
• Optional individual number lines

Assessment

• During modeling and guided practice, listen for students comparing the hundreds before the tens and ones, and check whether they can explain the first different digit.
• Review the five worksheet responses. The target is at least 4 correct, with a valid place-value explanation where possible.
• Use the exit ticket and student explanations to identify students needing concrete-model practice in the next lesson.

Differentiation

• For support, have students build both numbers with concrete blocks before looking at numerals. Begin with comparisons where the hundreds differ, then progress to equal hundreds and different tens or ones.
• Provide a place-value chart, a number line, large symbols, and color-highlight the first different digit. Read all numbers and directions aloud, and allow students to answer orally or point before writing.
• Use the “alligator” image only as a visual reminder after students understand that the open side faces the greater number; continue emphasizing place-value reasoning.
• For students who need reduced cognitive load, offer two answer choices instead of three and compare one place at a time. Pair students strategically and provide sentence frames: “___ is greater than ___ because ___ hundreds/tens/ones.”