Multiplication Tables of 6, 7, 8, and 9

Active learning helps students lock in the multiplication tables of 6, 7, 8, and 9 by linking new facts to familiar ones through movement, talk, and visuals. These concrete experiences move students past rote memorization toward flexible recall they will need for multi-digit work.

• Primary 3
• Mathematics
• 4 activities
• 20 min–35 min

Learning Objectives

1. Calculate the product of two numbers when one number is from the set {6, 7, 8, 9} and the other is a single digit from 1 to 10.
2. Compare the results of multiplication problems involving the 6, 7, 8, and 9 times tables to identify patterns.
3. Explain how knowing the 5 times table can assist in calculating the 6 times table.
4. Apply multiplication facts for 6, 7, 8, and 9 to solve word problems involving grouping and sharing.
5. Analyze the relationship between multiplication and division for the 6, 7, 8, and 9 times tables.

Peer Teaching

⏱ 25 min·Pairs

Array Construction: Tables of 6-9

Pairs use counters to build rectangular arrays for facts like 7x5 or 8x4. They draw the array, label dimensions, and state the product. Pairs then explain their model to another pair.

Prepare & details

What patterns can you find in the 6, 7, 8, and 9 times tables?

Facilitation Tip: In Array Construction, have students build 6 x 9 by first making 5 x 9 and then adding one more row of 9 to highlight the 5s-to-6s connection.

Setup: Presentation area at front, or multiple teaching stations

Materials: Topic assignment cards, Lesson planning template, Peer feedback form, Visual aid supplies

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

Peer Teaching

⏱ 35 min·Small Groups

Pattern Relay: Linking 5s to 6s

Small groups line up and solve 5 times facts on cards, then add the multiplier to get 6 times answers. First group to finish relays the answer card back. Repeat for 7, 8, 9 patterns.

Prepare & details

How does knowing the 5 times table help you work out the 6 times table?

Facilitation Tip: During Pattern Relay, pair students so the speaker explains the 5s-to-6s link while the listener checks the next fact on a printed array.

Setup: Presentation area at front, or multiple teaching stations

Materials: Topic assignment cards, Lesson planning template, Peer feedback form, Visual aid supplies

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

Peer Teaching

⏱ 20 min·Pairs

Multiplication War: 6-9 Cards

Pairs flip cards with factors from 6-9 tables, say the product first to win the pair. Highest pile at end wins. Debrief patterns spotted during play.

Prepare & details

Why is it useful to memorise multiplication facts?

Facilitation Tip: In Multiplication War, insist on immediate peer verification: both players lay down their cards, say the products, and point to the matching array on the table to confirm.

Setup: Presentation area at front, or multiple teaching stations

Materials: Topic assignment cards, Lesson planning template, Peer feedback form, Visual aid supplies

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

Peer Teaching

⏱ 30 min·Whole Class

Fact Family Bingo

Whole class plays bingo with products from 6-9 tables. Call factors; students mark products and share related division facts. Winner explains one fact family.

Prepare & details

What patterns can you find in the 6, 7, 8, and 9 times tables?

Facilitation Tip: For Fact Family Bingo, let students use mini whiteboards to draw arrays or write number sentences as they call out facts, making thinking visible.

Setup: Presentation area at front, or multiple teaching stations

Materials: Topic assignment cards, Lesson planning template, Peer feedback form, Visual aid supplies

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

Teaching This Topic

Teach these tables by anchoring each new fact to a known one through visual, auditory, and kinesthetic channels. Avoid isolated drill; instead, use quick relational talks where students articulate why 7 x 8 is the same as 5 x 8 plus 2 x 8. Research shows that peer explanation and immediate feedback correct errors faster than worksheets.

What to Expect

Students will confidently state products for all tables 6–9 within three seconds, explain at least one strategy that links a new fact to a known one, and use these facts to solve real-world grouping problems with accuracy.

Watch Out for These Misconceptions

Common Misconception

During Array Construction, watch for students who build separate arrays for each table without linking them to familiar facts.

What to Teach Instead

Prompt them to rebuild their array starting from a known table, such as 5 x 8, then add one more row of 8 to create 6 x 8 while explaining the change aloud.

Common Misconception

During Pattern Relay, watch for students who treat each new fact as unrelated to the previous one.

What to Teach Instead

Pause the relay and have the pair rebuild the chain on paper, labeling each step (5 x 7 = 35, 6 x 7 = 35 + 7 = 42) before continuing.

Common Misconception

During Multiplication War, watch for students who guess products without checking their answers.

What to Teach Instead

Require both players to point to the matching array on the table or write the fact on a mini whiteboard before declaring the winner of the round.

Common Misconception

During Fact Family Bingo, watch for students who memorize calls without understanding the relationships.

What to Teach Instead

Ask them to draw the array or write the two related facts for each call before marking their bingo card.

Assessment Ideas

Quick Check

After Array Construction, present students with 6 × 7, 7 × 8, and 8 × 9. Ask them to write the products and circle any fact they found easy because of a pattern they used, noting the pattern in one sentence.

Discussion Prompt

During Pattern Relay, ask each pair to explain to the class how knowing 5 × 9 helped them figure out 6 × 9 before continuing to the next fact.

Exit Ticket

After Fact Family Bingo, give each student a word problem such as 'A baker arranges 8 trays with 9 cupcakes each. How many cupcakes are there in all?' Students write the number sentence, the product, and one sentence explaining how they solved it.

Peer Assessment

During Multiplication War, have partners switch roles halfway and check each other’s accuracy by rebuilding the array together after each round.

Extensions & Scaffolding

• Challenge: Give early finishers a set of three consecutive problems (e.g., 6 x 7, 7 x 7, 8 x 7) and ask them to explain the pattern in the products.
• Scaffolding: Provide a partially completed array strip for students to finish, then ask them to write the matching number sentences before playing Multiplication War.
• Deeper exploration: Invite students to research and present one cultural or historical use of the 9 times table (e.g., finger multiplication) and demonstrate it to the class.

Key Vocabulary

Multiplication Table	A chart or list showing the products of a number multiplied by a sequence of integers, typically from 1 to 10 or 12.
Factor	A number that divides another number exactly. In multiplication, the numbers being multiplied are called factors.
Product	The result of multiplying two or more numbers together.
Commutative Property	The property that states that the order of factors does not change the product (e.g., 6 x 7 = 7 x 6).