Most and Least Popular

When children actively collect and organize their own data, they move from abstract ideas to concrete understanding. This topic works best when students physically mark their preferences and see the results take shape, making abstract concepts like mode and frequency visible and meaningful.

• Senior Infants
• Foundations of Mathematical Thinking
• 4 activities
• 15 min–30 min

Learning Objectives

1. Identify the mode (most frequent response) and the least frequent response in a given data set of class preferences.
2. Compare the number of responses for different categories within a data set to determine popularity.
3. Explain what the most frequent response (mode) tells us about the class's overall preference.
4. Count and record the frequency of responses for each category in a simple survey.

Collaborative Problem-Solving

⏱ 30 min·Whole Class

Class Survey: Favorite Fruits

Pose the question "What is your favorite fruit?" and have children raise hands or use voting cards for options like apple, banana, orange. Record tallies on a large chart as a class. Count tallies together to identify most and least popular.

Prepare & details

Which fruit do most children in our class like best?

Facilitation Tip: During the Class Survey: Favorite Fruits activity, circulate with sticky notes so children can immediately place their choices on a growing chart, reinforcing the connection between votes and visual representation.

Setup: Groups at tables with problem materials

Materials: Problem packet, Role cards (facilitator, recorder, timekeeper, reporter), Problem-solving protocol sheet, Solution evaluation rubric

• Apply
• Analyze
• Evaluate
• Create
• Relationship Skills
• Decision-Making
• Self-Management

Collaborative Problem-Solving

⏱ 20 min·Pairs

Pairs Tally Challenge

Pairs survey five classmates about favorite colors, using tally charts. They compare counts to find mode and discuss "What was most popular in our group?" Pairs share one finding with the class.

Prepare & details

How many children chose the same favourite as you?

Facilitation Tip: In the Pairs Tally Challenge, provide pre-printed tally sheets with fruit images so students focus on grouping marks rather than drawing, reducing cognitive load for accuracy.

Setup: Groups at tables with problem materials

Materials: Problem packet, Role cards (facilitator, recorder, timekeeper, reporter), Problem-solving protocol sheet, Solution evaluation rubric

• Apply
• Analyze
• Evaluate
• Create
• Relationship Skills
• Decision-Making
• Self-Management

Collaborative Problem-Solving

⏱ 25 min·Small Groups

Small Groups: Sticker Graphs

Distribute sticky notes or stickers representing survey data on pets. Groups sort and place them on a bar graph template. Discuss which pet has the tallest bar and why it is most popular.

Prepare & details

What did our sorting show us about the class's favourite?

Facilitation Tip: While Small Groups create Sticker Graphs, encourage students to verbally justify their grouping of stickers before counting, building reasoning skills alongside data literacy.

Setup: Groups at tables with problem materials

Materials: Problem packet, Role cards (facilitator, recorder, timekeeper, reporter), Problem-solving protocol sheet, Solution evaluation rubric

• Apply
• Analyze
• Evaluate
• Create
• Relationship Skills
• Decision-Making
• Self-Management

Collaborative Problem-Solving

⏱ 15 min·Individual

Individual Data Journals

Each child draws their favorite animal and tallies pretend class votes. They circle the most common one. Share journals in a circle to compare personal predictions with class reality.

Prepare & details

Which fruit do most children in our class like best?

Setup: Groups at tables with problem materials

Materials: Problem packet, Role cards (facilitator, recorder, timekeeper, reporter), Problem-solving protocol sheet, Solution evaluation rubric

• Apply
• Analyze
• Evaluate
• Create
• Relationship Skills
• Decision-Making
• Self-Management

Teaching This Topic

Teachers should prioritize hands-on data collection over pre-made charts to build ownership of the process. Avoid rushing to digital tools too early, as physical mark-making helps children internalize frequency and comparison. Research shows that repeated exposure to the same data set in different formats—tallies, graphs, and discussions—strengthens understanding of mode and least frequency.

What to Expect

Successful learning looks like children confidently using tally marks to record votes, identifying modes with clear reasoning, and discussing patterns in their data. They should explain their findings with terms like 'most popular' and 'least popular' while recognizing ties or equal counts.

Watch Out for These Misconceptions

Common Misconception

During the Pairs Tally Challenge, watch for students who assume the first fruit listed or the one at the top of the page is the most popular.

What to Teach Instead

Have pairs physically group their tallies by fruit and lay them side-by-side to compare heights, then ask, 'Which group has the most marks? Show me how you know.'

Common Misconception

During Small Groups: Sticker Graphs, watch for students who declare a tie without counting the stickers carefully.

What to Teach Instead

Prompt them to recount each row aloud while pointing to the stickers, then ask, 'How many stickers are in this row? What about this one? Does that mean they are tied or not?'

Common Misconception

During Individual Data Journals, watch for students who describe the least popular fruit as 'no one chose it' even when it has a low count.

What to Teach Instead

Have them underline the least popular fruit and write, 'This fruit was chosen by _ children.' Then ask, 'Is that number zero or a small number?'

Assessment Ideas

Quick Check

After the Class Survey: Favorite Fruits activity, provide students with a set of fruit picture cards and ask them to sort the cards by popularity. Then, ask, 'Which fruit is the mode? How did you decide?'

Exit Ticket

During the Pairs Tally Challenge, give each pair a tally chart with 3-4 fruits and 10 total marks, then ask them to write the mode and least popular fruit with a one-sentence explanation using their tallies.

Discussion Prompt

After Small Groups create Sticker Graphs, hold a whole-class discussion where students compare graphs. Ask, 'Look at our charts. What does the tallest sticker row tell us about our class? What does the shortest row tell us about that fruit?'

Extensions & Scaffolding

• Challenge students who finish early to create a new survey question with 4-5 options, then design their own tally sheet and graph for peers to complete and analyze.
• Scaffolding for struggling students: Provide a partially completed tally sheet with one fruit already marked as the mode, and ask them to explain why it is the most popular using the tallies.
• Deeper exploration: Introduce a second round of the same survey after a class discussion about fairness, then compare the two data sets to explore why preferences might change.

Key Vocabulary

Mode	The number or item that appears most often in a set of data. It shows the most popular choice.
Frequency	The number of times a particular item or response appears in a data set. It tells us how often something happened.
Data Set	A collection of information or numbers that has been gathered. For this topic, it's the list of children's favourite fruits.
Least Frequent	The number or item that appears the fewest times in a set of data. It shows the least popular choice.