Mathematical Explorers: Building Foundations · 2nd Class

Active learning ideas

Multiplication Tables for 5s

Active learning helps students internalize the 5 times table by connecting abstract numbers to movement and objects. Skip counting and repeated addition become concrete when students use their hands or counters, making patterns visible and recall automatic. This physical engagement builds confidence before moving to written practice.

• NCCA Curriculum Specifications
• NCCA: Junior Cycle - Geometry and Trigonometry - G.1.3

• 15–30 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Peer Teaching
• 20 min · Whole Class

Relay Race: Skip Counting Chains

Divide class into teams. Each student runs to board, writes next number in 5s sequence (start at 5, 10...), tags next teammate. First team to 100 wins. Review patterns as class.

What pattern do you see in the answers of the 5 times table?

Facilitation Tip

During Relay Race, stand with students to model the skip counting rhythm and clap on every fifth beat to reinforce the pattern.

What to look for

Present students with flashcards showing multiplication sentences from the 5 times table (e.g., 5 x 4). Ask them to write the answer on a mini whiteboard. Observe for accuracy and speed in recalling facts.

• Understand
• Apply
• Analyze
• Create
• Self-Management
• Relationship Skills

Activity 02

• Peer Teaching
• 25 min · Pairs

Partner Flash: 5s Fact Pairs

Pairs draw cards with equations (5x3) and products (15), match them quickly. Switch roles after 5 minutes. Discuss fastest matches and why patterns speed recall.

How does skip counting in 5s help you answer questions from the 5 times table?

Facilitation Tip

For Partner Flash, pair students with mixed abilities so stronger partners can model correct responses for their peers.

What to look for

Give each student a slip of paper. Ask them to write down two facts from the 5 times table they remember and one word problem they can solve using the 5 times table. For example, 'There are 3 teams, and each team has 5 players. How many players are there in total?'

• Understand
• Apply
• Analyze
• Create
• Self-Management
• Relationship Skills

Activity 03

• Peer Teaching
• 30 min · Small Groups

Group Build: Repeated Addition Towers

Small groups use blocks or straws to build towers for facts like 5x6 (six groups of 5). Measure heights, label with equation. Share tallest towers with class.

Can you recall facts from the 5 times table and use them to solve simple problems?

Facilitation Tip

When building Repeated Addition Towers, circulate to check that students are counting groups correctly before stacking blocks.

What to look for

Ask students: 'What do you notice about all the answers when you multiply by 5?' Guide them to identify the pattern of ending in 0 or 5. Then ask: 'How does skip counting help you remember these answers?'

• Understand
• Apply
• Analyze
• Create
• Self-Management
• Relationship Skills

Activity 04

• Peer Teaching
• 15 min · Individual

Individual Chart: My 5s Pattern

Students create personal hundreds charts, color 5s multiples. Circle patterns like endings in 5 or 0. Use to solve 'What is 5x8?' problems.

What pattern do you see in the answers of the 5 times table?

Facilitation Tip

On My 5s Pattern charts, remind students to highlight the tens place and ones place in different colors to visualize the pattern.

What to look for

Present students with flashcards showing multiplication sentences from the 5 times table (e.g., 5 x 4). Ask them to write the answer on a mini whiteboard. Observe for accuracy and speed in recalling facts.

• Understand
• Apply
• Analyze
• Create
• Self-Management
• Relationship Skills

A few notes on teaching this unit

Teach the 5 times table by linking it to students' prior knowledge of addition and skip counting. Emphasize the commutative property early to prevent reliance on order, using hands-on swaps with counters. Avoid rote memorization without context; instead, connect each fact to a visual or real-world example. Research shows that students who see multiplication as repeated addition and skip counting develop deeper number sense than those who memorize facts in isolation.

Successful learning looks like students confidently skip counting in 5s with rhythm, accurately recalling facts like 5x6=30 without prompting. They should explain patterns, such as answers ending in 0 or 5, and apply these facts to real-world problems like counting fingers or hands. Group work should show clear understanding through peer teaching.

---

Watch Out for These Misconceptions

• During Partner Flash, watch for students who say multiplication only works for large numbers.

  Pause Partner Flash and use counters to model 5x1=5 as one group of five, asking students to count aloud with you. Then have partners switch roles and repeat with 5x2=10, emphasizing that small groups still count as multiplication.

• During Relay Race, watch for students who say the 5 times table has no patterns.

  After the race, gather students to clap and count together, pointing out how every fifth number ends in 0 or 5. Use the skip counting chain to highlight doubles like 10, 20, and 30, asking students to predict the next number in the pattern.

• During Group Build, watch for students who insist order matters in multiplication (5x4 different from 4x5).

  Have students rebuild their towers by swapping the rows and columns, then ask if the total changed. Use the commutative property to demonstrate that equal groups stay the same regardless of order, reinforcing the concept with physical swaps.

---

Methods used in this brief

• Peer Teaching