Compare Groups

Overview

In Lesson 4 of Building Mathematical Thinking, students compare two groups of objects and describe which group has more, fewer, or the same number. Students build on one-to-one counting by matching objects, organizing them on ten-frames, and explaining comparisons using words, symbols, or oral responses.

Learning intentions

• I can count objects carefully, touching each object once.
• I can compare two groups using more, fewer, or the same.
• I can explain how I know which group has more, fewer, or the same.
• I can compare two written numbers from 1 to 10.

Success criteria

• I can correctly compare at least four pairs of sets.
• I can use the words “more,” “fewer,” or “same.”
• I can match or count objects to prove my answer.
• I can explain my thinking with words, pictures, objects, or an oral response.

Curriculum links

• Counting and Cardinality — count to answer “how many?” questions and count out a given number of objects.
• Counting and Cardinality — pair each object with one number name when counting.
• Counting and Cardinality — understand that the last number counted tells how many objects are in the group, regardless of arrangement.
• Counting and Cardinality — identify whether one group is greater than, less than, or equal to another and compare written numerals from 1 to 10.

Lesson structure (30 minutes)

1. 0–4 min · Hook and activate prior learning. Open with the comparison hook slides showing two groups of colorful counters arranged differently, including one scattered group. Ask, “Which group has more? How could we prove it?” Students make a picture-based choice, then briefly count or explain their first idea.

2. 4–9 min · Direct teaching and modeling. Use the modeling slides to model counting each object once, saying the last number as the total, and matching objects in pairs. Think aloud: “This group has 5. This group has 3. Two objects do not have a partner, so 5 is more than 3.” Introduce the words more, fewer, and same, and model the symbols >, <, and = only after the meaning is secure. Students repeat the words, point to the matching pairs, and help decide the comparison.

3. 9–16 min · Partner compare with objects. Place students in five pairs and provide each pair with two small groups of counters and two ten-frames. Show each comparison on the partner activity slides. Students build the groups, count them, match counters, and complete the sentence orally: “___ has more,” “___ has fewer,” or “Both groups have the same number.” Partners switch roles as Builder and Checker after each round. Circulate and ask, “How do you know?” and “What happens if I spread the counters out?”

4. 16–23 min · Guided independent practice. Distribute the compare-groups worksheet. Students compare four pairs of sets, using drawings, ten-frames, or concrete counters as needed. They circle or mark more, fewer, or same and complete a sentence frame for at least two examples. Include a final item with two written numerals from 1 to 10. Confer with students individually; ask them to demonstrate one answer rather than relying only on reading or writing.

5. 23–27 min · Extension and reasoning share. Students who finish accurately compare groups to 20 using counters or drawings and justify their answer by counting and matching. Use the reasoning discussion slides to display one pair with objects arranged differently. Invite students to explain why arrangement does not change how many objects there are. Other students may choose a completed worksheet item and explain it orally to a partner.

6. 27–30 min · Exit check and closing. Show a final pair of groups on the closing and exit-check slide. Each student responds privately by pointing to a picture choice, holding up a response card, saying the answer, or writing more, fewer, or same. Ask two students to explain how they know, then restate: “We can compare by counting and matching.”

Resources

• the comparison and modeling slide deck
• the compare-groups worksheet
• Two-color counters or connecting cubes
• Ten-frames
• Numeral cards from 1 to 10
• Large comparison symbols >, <, and =
• Picture-based response choices
• Pencils, crayons, or markers
• Optional tactile counters and response cards

Assessment

• During modeling and partner work, check whether students count in order, touch each object once, and identify the last number as the total.
• Listen for accurate use of more, fewer, and same; ask students to prove comparisons by matching or recounting.
• Record each student’s exit response and explanation. A student meets the lesson goal by correctly comparing at least four pairs, with an alternate response mode accepted.

Differentiation

• Support: Use small groups of 1–5 objects first, high-contrast counters, ten-frames, and physically matched pairs. Reduce visual clutter and provide one comparison at a time.
• Language and communication: Provide sentence frames such as “___ has more,” “___ has fewer,” and “They have the same number.” Accept pointing, selecting picture choices, signing, or oral explanations instead of written responses.
• Dyslexia-friendly options: Use a clear sans-serif font, large print, generous spacing, bold comparison words and symbols, picture-based choices, minimal text, and oral directions. Read worksheet prompts aloud and allow students to use tactile objects.
• Advanced learners: Compare groups to 20, including scattered and differently arranged groups. Students must count, match, and justify why their comparison remains true when objects are moved or spread apart.