Mathematics · Year 3

Active learning ideas

Multiplication Facts (6, 8)

Active learning works for multiplication facts because young students need to see and manipulate the relationships between numbers to build true understanding. These hands-on activities let children experience doubling, arrays, and patterns in ways that pencil-and-paper drills cannot match.

• ACARA Content Descriptions
• AC9M3N05

• 20–35 min
• Pairs → Whole Class
• 4 activities

Activity 01

• Numbered Heads Together
• 30 min · Small Groups

Doubling Relay: 6 Times Facts

Divide class into teams. Each student solves one 6 times fact by doubling a 3 times fact on a card, then runs to tag the next teammate. Teams race to complete the set first, then share one strategy with the class. Provide fact cards and whiteboards for workings.

Explain how doubling can help you solve multiplication facts for 6 and 8.

Facilitation Tip

For Doubling Relay, have teams move only after every member has quietly verified their partner’s calculation with an array sketch.

What to look for

Present students with a multiplication sentence like '6 x 5 = ?'. Ask them to write down the calculation they used to find the answer, encouraging them to show if they doubled a 3 times fact or used another strategy.

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

Activity 02

• Numbered Heads Together
• 25 min · Pairs

Array Builder: 8 Times Tables

Students use counters to build arrays for 8 times facts up to 8 x 10. They double 4 times arrays first, then record the fact and a written strategy. Pairs compare arrays and discuss patterns like even totals. Clean up counters together.

Construct a strategy to remember a challenging multiplication fact for 8.

Facilitation Tip

During Array Builder, insist students label both dimensions on the grid and write the matching equation beneath before building the next array.

What to look for

Pose the question: 'Imagine you are stuck on 8 x 9. What is one strategy you could use to figure out the answer?' Allow students to share their ideas and explain their chosen method to the class.

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

Activity 03

• Numbered Heads Together
• 35 min · Pairs

Pattern Hunt: Compare 3s and 6s

Give pairs hundreds charts marked with 3 times table. Students color 6 times facts by doubling and circle patterns, such as every second multiple. They present one comparison to the class. Extend with word problems using patterns.

Compare the patterns in the 6 times table with those in the 3 times table.

Facilitation Tip

In Pattern Hunt, provide colored pencils so students can trace and label equal jumps on both the 3s and 6s number lines side by side.

What to look for

Give each student a card with a multiplication fact for 6 or 8 (e.g., 6 x 4, 8 x 3). Ask them to write the answer and then draw a small visual representation, like an array, or write one sentence explaining the strategy they used to solve it.

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

Activity 04

• Numbered Heads Together
• 20 min · Whole Class

Strategy Swap Circle: Tricky 8s

In a circle, each student shares a strategy for a hard 8 fact like 8 x 6, writes it on a card, and passes it. Class votes on the clearest one. Repeat twice for different facts, noting common approaches.

Explain how doubling can help you solve multiplication facts for 6 and 8.

What to look for

Present students with a multiplication sentence like '6 x 5 = ?'. Ask them to write down the calculation they used to find the answer, encouraging them to show if they doubled a 3 times fact or used another strategy.

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

A few notes on teaching this unit

Teach these facts by grounding each new strategy in something students already know: double the 3s for 6s, or subtract from 10s for 8s. Avoid isolated chanting; instead, always pair the verbal recitation with a visual or kinesthetic representation. Research shows that when students articulate why doubling works, their recall becomes more reliable and flexible.

Success looks like students explaining their strategies out loud, using visual models to justify answers, and choosing efficient methods without counting one by one. They should confidently connect 6s to 3s and 8s to 4s or 10s when solving new facts.

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Watch Out for These Misconceptions

• During Doubling Relay, watch for students adding two 3 times facts instead of doubling one fact.

  Pause the relay and ask each team to draw the 3 x 4 array, then draw the doubled array directly beneath it. Have them label the total number of squares in both arrays and compare counts.

• During Array Builder, watch for students counting every square in an 8 x 7 array instead of using doubling or subtraction.

  Hand them a blank 8 x 7 grid and ask them to split it into a 10 x 7 section minus a 2 x 7 section. Have them shade each section, write the equations 70 – 14 = 56, and verify with the array.

• During Pattern Hunt, watch for students believing that 3s and 6s have no connection.

  Give each pair two number lines marked with 3s and 6s. Have them use colored pencils to circle every second 3 and observe how those points line up with the 6s, then write a sentence describing the pattern they see.

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Methods used in this brief

• Numbered Heads Together