Mastering the 6 Times Table

Overview

Today students will build and practice multiplication facts for the 6 times table using arrays, repeated addition, and the relationship between multiplication and division to find missing whole numbers and solve problems within 100.

Learning intentions

Students will be able to:

• Interpret multiplication as equal groups (6 groups of a number of objects).
• Determine unknown whole numbers in multiplication or division equations involving the 6 times table.
• Fluently multiply and divide within 100 using strategies and known facts for 6.
• Explain how multiplication and division are related using inverse thinking (fact families).

Success criteria

I can…

• Show 6 times ___ as groups or an array and count the total.
• Find the missing number in equations like 6 ×? = 48 or 48 ÷ 6 =?.
• Use fact-family reasoning to write and check related multiplication and division facts.
• Solve and explain multiplication/division problems for the 6 times table with accuracy and growing speed.

Curriculum links

• Number — multiplication and division (interpreting products as equal groups).
• Number — determine unknown whole numbers in multiplication/division equations with three whole numbers.
• Number — fluently multiply and divide within 100 using strategies and relationships between multiplication and division.
• Operations — apply properties of operations and build facts from known products.

Lesson structure (60 minutes)

1. 0–5 min · Hook (6-shots quick start). Teacher shows a small set of 6 objects and asks, “How many do you see if we have 6 groups of 1? How could we write that?” Students answer and write 6 × 1 = 6 or talk about equal groups.

2. 5–12 min · Direct teach: Arrays for 6. Teacher draws a 6-by-? style array on the board (start with 6 × 4, then 6 × 3) and labels rows/columns; students count totals by rows and columns. Students complete a short “Array → Sentence” response: “I see 6 rows of 4, so 6 × 4 = ___.”

3. 12–20 min · Guided practice: Repeated addition to multiplication. Teacher writes “6 groups of 5” as 5 + 5 + 5 + 5 + 5 + 5 and then transitions: “That is 6 × 5.” Students work one problem on their own (or with teacher support): “6 groups of 2” and fill in the multiplication sentence and total.

4. 20–28 min · Fact family build (multiplication ↔ division). Teacher lists one fact family:

• 6 × 4 = 24
• 4 × 6 = 24
• 24 ÷ 6 = 4
• 24 ÷ 4 = 6 Students match cards (or match paper strips) for one fact family and explain which two division sentences come from the same multiplication fact.

5. 28–38 min · Missing number challenge (unknown whole numbers). Teacher displays three equations and models one:

• 6 ×? = 36 -? = 48 ÷ 6
• 6 × 7 =? Students solve each using either arrays, fact family reasoning, or known 6 facts, then check by using inverse reasoning (multiply to confirm division, divide to confirm multiplication).

6. 38–50 min · Game: “6 Times Table Relay.” Teacher sets up a simple relay station on the board with 12 problem slips (e.g., 6 × 2, 6 × 6, 54 ÷ 6, 48 ÷ 6, 6 ×? = 42). Students take turns choosing one slip, solving, and explaining their strategy in one sentence. If using only one student, teacher runs it as a timed “relay” where the student completes the sequence: attempt → explain → record → check.

7. 50–58 min · Fluency practice: Partner-with-the-teacher (strategy use). Teacher calls out a sequence and asks for answers quickly, then one “why”:

• “What is 6 × 8?”
• “How do you know?”
• “What is 48 ÷ 6?” Students respond orally and record the final answers on a mini-fluency sheet. Teacher prompts strategy (e.g., “Use the fact family” or “Use known 6 × 5 = 30, then add 6 more to get 6 × 6 = 36”).

8. 58–60 min · Exit ticket (quick check). Students complete 2 items independently:

• 6 ×? = 60
• 72 ÷ 6 =?

Resources

• Base-ten blocks or counters (at least 60 small counters)
• Index cards or paper slips with multiplication/division problems
• Array templates or grid paper
• Whiteboard and markers (or chart paper)
• “Fact family” recording sheet
• Mini-fluency sheet (blank for 8–10 answers)
• Exit ticket slips or a one-page worksheet

Assessment

• Formative during guided practice: Listen for correct grouping language and accurate totals from arrays.
• Formative during missing-number work: Check that the student uses inverse reasoning (or a clear strategy) and verifies the answer.
• Exit ticket: 6 ×? = 60 and 72 ÷ 6 =? to assess unknown whole number skills and division/multiplication connection.

Differentiation

• Support: Provide sentence starters such as “I know 6 × 5 = 30, so 6 × 6 = 36” and “To check, I multiply/divide to confirm.”
• Support: Offer a visual scaffold using arrays with a marked 6 dimension (e.g., 6 rows) so the student can count reliably.
• Enrichment: Include one “strategy choice” prompt: “Solve 6 × 9 without counting all—what fact did you use?”
• If the student struggles, reduce to smaller values (6 × 2 through 6 × 6) during the game, then add one step back to reach 6 × 8–6 × 10.