Mathematics · Year 3

Active learning ideas

Multiplication Facts (7, 9)

Multiplication facts for 7 and 9 require more than memorization, they need flexible mental strategies to build fluency. Active learning lets students test, refine, and internalize these strategies through movement, discussion, and creation, which strengthens recall and confidence.

• ACARA Content Descriptions
• AC9M3N05

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

Activity 01

• Stations Rotation
• 20 min · Pairs

Finger Trick Practice: 9 Times Mastery

Demonstrate the finger method for 9x1 to 9x10. In pairs, students practice each fact, record products on mini-charts, and quiz each other. Pairs then teach one fact to the class using their chart.

Design a mnemonic or trick to help remember the 9 times table.

Facilitation Tip

During Finger Trick Practice, circulate and ask students to verbalize the tens and ones they see as they fold fingers, reinforcing the connection between the visual and the value.

What to look for

Present students with a list of 7 and 9 times table facts, including some they haven't explicitly practiced. Ask them to write down the answer and the strategy they used to find it (e.g., 'used finger trick', 'doubled 3.5', 'related to 7x7').

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

Activity 02

• Stations Rotation
• 30 min · Small Groups

Pattern Discovery: Charting 7s and 9s

Provide grid paper for small groups to multiply 7 and 9 by 1-12 and highlight patterns, such as digit sums for 9s or links to 10s for 7s. Groups discuss findings and create posters. Share one pattern per group with the class.

Analyze the patterns that emerge when multiplying by 9.

Facilitation Tip

In Pattern Discovery, provide grid paper and colored pencils so students can highlight each table’s digits and see the 9s’ sum-to-9 pattern emerge clearly.

What to look for

Give each student a card with a multiplication fact for 7 or 9. Ask them to write the answer and draw a picture or write a sentence explaining a trick or pattern that helps them remember that specific fact.

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

Activity 03

• Stations Rotation
• 25 min · Small Groups

Mnemonic Relay: Inventing Tricks

In small groups, assign hard facts like 7x8 or 9x7. Groups design rhymes, drawings, or stories as mnemonics. Relay-style, one member performs the mnemonic while others guess the fact, then rotate roles.

Justify why some multiplication facts are considered more difficult to learn than others.

Facilitation Tip

For Mnemonic Relay, set a timer and rotate groups every 3 minutes so students quickly test their peers’ tricks and vote on the most memorable ones.

What to look for

Pose the question: 'Why do you think the 7 and 9 times tables are harder for some people to learn than the 2 or 10 times tables?' Facilitate a class discussion where students share their reasoning, referencing patterns and strategies.

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

Activity 04

• Stations Rotation
• 15 min · Whole Class

Fact Fluency Bingo: 7s and 9s

Distribute bingo cards with products from 7 and 9 tables. Call facts randomly; students mark matching products. First to complete a row shouts the fact chain used, reviewing strategies aloud.

Design a mnemonic or trick to help remember the 9 times table.

What to look for

Present students with a list of 7 and 9 times table facts, including some they haven't explicitly practiced. Ask them to write down the answer and the strategy they used to find it (e.g., 'used finger trick', 'doubled 3.5', 'related to 7x7').

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

A few notes on teaching this unit

Teach the finger trick for 9s first as a concrete anchor, then introduce the sum-to-9 pattern to give students two complementary ways to verify answers. Avoid letting students rely solely on finger counting without linking it to numerical patterns, as this can slow fluency. Research shows that connecting visual tricks to numerical properties builds deeper understanding and retention.

By the end of these activities, students confidently recall 7 and 9 times facts using at least two mental strategies. They explain their reasoning, spot patterns, and choose strategies based on the numbers involved, showing flexible thinking rather than rote recitation.

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Watch Out for These Misconceptions

• During Pattern Discovery: Charting 7s and 9s, watch for students who claim 7 times products have no patterns.

  During Pattern Discovery, gather students to compare their completed charts and highlight the 9s’ sum-to-9 pattern and the 7s’ doubling or near-doubling links. Ask them to explain how these patterns help them remember facts they haven’t practiced yet.

• During Finger Trick Practice: 9 Times Mastery, watch for students who believe multiplying by 9 always ends in 9.

  During Finger Trick Practice, have students record the last digit of each 9 times product and circle any that end in 9. Then ask them to add the digits and observe the sum-to-9 pattern, redirecting the misconception with concrete evidence.

• During Fact Fluency Bingo: 7s and 9s, watch for students who treat all multiplication facts as equally difficult.

  During Fact Fluency Bingo, pause after each round and ask students to share which facts felt hardest and why. Collect their reasons on the board, then challenge the class to invent a strategy or trick for the top three hardest facts.

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Methods used in this brief

• Stations Rotation