Foundations of Mathematical Thinking · Senior Infants · Number Stories · Summer Term

Counting in Groups

Understanding exponents as repeated multiplication and evaluating expressions with positive integer exponents.

• NCCA Curriculum Specifications
• NCCA: Junior Cycle - Number - N.12

About This Topic

Counting in groups builds efficient number sense for Senior Infant children by using equal sets and skip counting sequences like 2s, 5s, or 10s. Students group concrete objects such as counters or toy animals to find totals quickly, answering questions like 'How many legs on 3 dogs?' by forming sets of 4 and counting 4, 8, 12. This shifts them from one-by-one counting to pattern recognition, essential for early addition and multiplication.

In the NCCA Foundations of Mathematical Thinking curriculum, this topic supports Number strand outcomes for grouping and counting strategies. Set in the Summer Term Number Stories unit, it applies to real-world problems like sharing items or counting wheels on vehicles, fostering problem-solving through visual and tactile models.

Active learning benefits this topic greatly: children manipulate objects to build groups, discuss totals with peers, and chant sequences with movements. These experiences make patterns concrete, correct errors immediately, and create joyful connections to math that last.

Key Questions

1. Can you count in 2s , 2, 4, 6, __?
2. How many legs do 3 dogs have , let us count in groups.
3. Can you make groups of 5 with these counters and count how many altogether?

Learning Objectives

• Identify and count equal groups of objects up to 5 groups of 10.
• Calculate the total number of objects by skip counting in groups of 2s, 5s, and 10s.
• Compare the total number of objects when grouped in different ways (e.g., groups of 2 vs. groups of 5).
• Demonstrate understanding of grouping by creating sets of a specified size to solve a problem.

Before You Start

One-to-One Correspondence

Why: Students need to be able to match one object to one number word before they can count groups efficiently.

Number Recognition (0-20)

Why: Students must be able to recognize and name numbers up to 20 to count the totals of their groups.

Key Vocabulary

Group	A collection of objects that are put together because they are the same or similar. For example, a group of 3 dogs.
Set	A collection of items. In this topic, we make sets of equal size, like a set of 4 legs for each dog.
Skip Counting	Counting forward by the same number each time, such as counting by 2s: 2, 4, 6, 8.
Total	The final number you get when you add all the groups or sets together.

Watch Out for These Misconceptions

Common Misconception

Skip counting means leaving out some numbers or objects.

What to Teach Instead

Children may believe 2,4,6 skips 1,3,5; grouping visible objects shows each represents two items counted efficiently. Hands-on pair checks and class shares build correct mental images through talk.

Common Misconception

The total equals only the number of groups, ignoring group size.

What to Teach Instead

Students forget to multiply; repeated building with counters like 3 groups of 5 equals 15 clarifies this. Collaborative recounts reinforce the strategy over rote memory.

Common Misconception

Group order changes the total count.

What to Teach Instead

Rearranging groups can confuse; activities with movable toys demonstrate conservation. Group rotations let peers explain sameness, strengthening understanding.

Active Learning Ideas

Small Groups: Animal Legs Rally

Supply toy animals and leg charts. Children sort animals into groups by type, count legs per animal using fingers or marks, then skip count totals like 4, 8, 12. Groups present one total to the class for verification.

30 min·Small Groups

Pairs: Counter Group Towers

Give pairs 20-30 counters and cups. They build towers of 5 counters each, skip count by 5s to find totals, then rebuild with groups of 2. Partners check each other's counts and record on charts.

25 min·Pairs

Whole Class: Skip Count Circle

Form a circle. Teacher calls a number like 2s; children link arms in pairs, chant the sequence while passing a beanbag. Switch to 5s with hand claps. End with total counts for class items.

20 min·Whole Class

Individual: Group Drawings

Children draw 4 groups of 3 flowers, label skip count totals like 3,6,9,12. Add colors and count one-by-one to verify. Share one drawing with a partner.

15 min·Individual

Real-World Connections

• A baker counts cupcakes by placing them in boxes of 6. To quickly find the total number of cupcakes for a party, they can count the full boxes in groups of 6.
• A mechanic counts the tires on a fleet of delivery vans. Each van has 4 tires, so they can count in groups of 4 to find the total number of tires needed for maintenance.

Assessment Ideas

Quick Check

Provide students with 12 counters and ask them to make groups of 3. Then ask: 'How many groups did you make? How many counters are there in total?' Observe their grouping and counting strategy.

Exit Ticket

Draw 3 pairs of shoes on a piece of paper. Ask students to write the number of shoes in each pair and then write the total number of shoes altogether, counting in 2s.

Discussion Prompt

Present a scenario: 'There are 4 children, and each child has 5 fingers on one hand. How many fingers are there altogether?' Ask students to explain how they would count this using groups and skip counting.

Frequently Asked Questions

How to teach counting in groups to senior infants?

Start with concrete manipulatives like counters or toys for real contexts such as animal legs. Model grouping and skip counting aloud, then guide children to lead. Progress from 2s to 5s with chants and drawings. Daily 10-minute practice builds fluency without overwhelming young learners. Link to stories for engagement.

What are good activities for skip counting in 2s and 5s?

Use animal toys for leg groups, counters in cups for towers, or body movements like paired jumps for 2s and hand claps for 5s. Circle chants with passing objects add fun. Drawings let children visualize and verify totals independently. Vary materials daily to maintain interest and reinforce patterns.

Common mistakes when teaching counting in groups?

Pupils often skip numbers literally, ignore group size, or think order matters. Address with visible groups and peer verification. Chants clarify sequences, while recounts fix multiplication errors. Consistent hands-on practice prevents reliance on fingers alone, promoting true strategy use.

How does active learning help with counting in groups?

Active approaches like grouping toys or chanting with claps engage multiple senses, making abstract patterns tangible for 5-6 year olds. Children manipulate, discuss, and move, correcting misconceptions through immediate feedback and peer input. This boosts retention, confidence, and joy in math, outperforming passive worksheets by connecting concepts to real actions.