Mathematics · Year 3 · Additive Thinking and Mental Strategies · Term 2

Multiplication Facts (6, 8)

Mastering multiplication facts for 6 and 8, exploring strategies like doubling and using known facts.

• ACARA Content Descriptions
• AC9M3N05

About This Topic

Mastering multiplication facts for 6 and 8 helps Year 3 students develop fluent mental strategies. They learn to double known facts from the 3 times table for 6s, such as 6 x 4 equals 3 x 4 doubled to 24, and for 8s, they double 4s or subtract twice from 10s, like 8 x 7 equals 10 x 7 minus 2 x 7 equals 70 minus 14 equals 56. These approaches address key questions on explaining doubling, constructing strategies for tricky facts, and comparing patterns, such as both 6 and 3 tables yielding even products.

Aligned with AC9M3N05 in the Australian Curriculum, this topic extends additive thinking from Term 2 units. Students recognize patterns like skip-counting in twos for 6s linking to 3s, which strengthens number sense and prepares for multi-digit multiplication. Visual arrays and hundreds charts make abstract facts concrete.

Active learning benefits this topic greatly. Games and manipulatives turn rote practice into collaborative discovery, where students explain strategies to peers and test them in real-time. This builds confidence, corrects errors on the spot, and ensures deeper retention through movement and discussion.

Key Questions

1. Explain how doubling can help you solve multiplication facts for 6 and 8.
2. Construct a strategy to remember a challenging multiplication fact for 8.
3. Compare the patterns in the 6 times table with those in the 3 times table.

Learning Objectives

• Calculate multiplication facts for 6 and 8 using doubling strategies.
• Explain the relationship between the 3 times table and the 6 times table.
• Construct a personal strategy for memorizing challenging 8 times table facts.
• Compare the number patterns generated by the 6 and 3 times tables.
• Apply doubling and subtraction strategies to solve 8 times table problems.

Before You Start

Multiplication Facts (3s and 4s)

Why: Students need to be familiar with the 3 and 4 times tables to effectively use doubling strategies for the 6 and 8 times tables.

Additive Thinking and Mental Strategies

Why: Understanding concepts like skip counting and repeated addition provides a foundation for multiplication strategies.

Key Vocabulary

doubling	Multiplying a number by two. This strategy can be used to find 6 times facts from 3 times facts.
multiplication fact	A basic arithmetic fact that shows the product of two whole numbers, such as 6 x 7 = 42.
times table	A list of the results of multiplying a particular number by a sequence of whole numbers, typically from 1 to 10 or 12.
strategy	A plan or method for solving a problem or achieving a goal, such as using known facts to find unknown facts.

Watch Out for These Misconceptions

Common Misconception

6 times facts are just 3 times plus 3 times.

What to Teach Instead

Doubling means multiply the 3 fact by 2, not add it again. Array activities help students see the full rectangle double the size, while peer explanations clarify the error during group builds.

Common Misconception

8 x 5 is 35, confusing with 7 x 5.

What to Teach Instead

Use 10 x 5 minus 2 x 5 or double 4 x 5. Relay games let students test strategies quickly and correct each other, building accurate recall through repeated practice and feedback.

Common Misconception

No patterns exist between tables.

What to Teach Instead

6s double 3s evenly. Chart hunts reveal this visually; students mark and discuss, shifting from isolated facts to connected knowledge via collaborative observation.

Active Learning Ideas

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.

30 min·Small Groups

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.

25 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.

35 min·Pairs

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.

20 min·Whole Class

Real-World Connections

• Bakers often use multiplication facts to calculate ingredients for multiple batches of cookies. For example, if one batch requires 6 eggs, they might double this to find out they need 12 eggs for 2 batches, or use 6 times facts to calculate for 6 batches.
• Event planners use multiplication to determine the number of chairs or place settings needed for a large gathering. For an event with 8 guests per table, they might use 8 times facts to quickly calculate the total needed for 7 tables.

Assessment Ideas

Quick Check

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.

Discussion Prompt

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.

Exit Ticket

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.

Frequently Asked Questions

What doubling strategies work best for 6 times tables in Year 3?

Teach students 6 x n equals 3 x n doubled. For example, 6 x 8 is 3 x 8 equals 24, doubled to 48. Use arrays: build a 3 x 8 rectangle, then double it. Practice with flashcards where students say the 3 fact first, then double. This links prior 3s knowledge and builds fluency over time.

How do you help students remember tricky 8 times facts like 8 x 7?

Strategies include 10 x 7 minus 2 x 7 equals 70 minus 14 equals 56, or double 4 x 7 equals 28 doubled to 56. Create anchor charts with visuals like eight groups of seven fingers. Games reinforce these, with students chanting or snapping during relays for memorability.

How can active learning improve mastery of 6 and 8 multiplication facts?

Active approaches like relays and array builds engage kinesthetic learners, making facts physical. Students explain strategies to peers, correcting misconceptions instantly. Movement boosts retention, while group discussions reveal patterns, turning passive memorization into confident mental math skills applicable across the curriculum.

How to differentiate multiplication facts practice for 6 and 8 in mixed Year 3 classes?

Provide tiered cards: basic doubling for support, complex like 8 x 9 for extension. Pair stronger students with others during relays. Offer choice boards with games, drawings, or stories using facts. Track progress individually on strategy journals to guide targeted feedback.