Eight Times Understanding

Overview

In this lesson, students build understanding of the 8 times table by noticing patterns and using multiplication–division relationships and properties of operations. They practice strategies so they can eventually recall products of two one-digit numbers from memory.

Learning intentions

Students will be able to:

• Explain and use patterns in the 8 times table to find products.
• Use multiplication–division relationships to solve related division facts.
• Apply properties of operations to compute 8×n more efficiently.
• Demonstrate that knowing one fact in the 8 times table helps determine others.

Success criteria

Students can:

• Correctly complete an 8 times table up to 8×10 (or through the range used in class).
• Explain at least one pattern (for example, each product increases by 8 when you move to the next number).
• Use a multiplication fact to answer a related division question (for example, 8×6=48 so 48÷6=8).
• Solve a “find the missing number” equation connected to 8×? and?÷?.

Curriculum links

• Operations and Algebraic Thinking — multiplication and division within 100 using strategies and relationships.
• Operations and Algebraic Thinking — apply properties of operations to multiply and divide.
• Operations and Algebraic Thinking — determine the unknown whole number in a multiplication or division equation.
• Operations and Algebraic Thinking — identify and explain arithmetic patterns in a multiplication table.

Lesson structure (60 minutes)

1. 0–7 min · Warm-up with pattern talk. Teacher writes: 8, 16, 24, ___, ___ and asks what stays the same and what changes; student answers and shows quick reasoning with a number line or skip-counting.

2. 7–18 min · Direct instruction: build the 8 times table. Teacher models repeated addition with 8: “8 groups of 1” becomes 8, “another 8” makes 16, and so on, then records as multiplication sentences (8×1=8, 8×2=16, …). Student helps fill each step and states a rule for what happens next.

3. 18–28 min · Pattern scavenger: explain the table. Teacher displays a partially completed 8 times table and prompts: “What pattern do you see down the table? What pattern do you see across?” Student points to one pattern and explains it in their own words (expect: add 8 each time; products are multiples of 8; parity pattern—products are even).

4. 28–40 min · Strategy practice: multiplication–division connection. Teacher chooses 3 anchor facts (8×3, 8×6, 8×9) and writes two related division facts for each (for example, 24÷3 and 24÷8). Student completes the division using the matching multiplication fact and explains how they know.

5. 40–50 min · Properties of operations: make 8×n easier. Teacher reviews that multiplication can be broken apart: for example, 8×7 can be seen as 8×(5+2) = (8×5)+(8×2) and shows how this can be used to compute quickly. Student practices with one guided problem: compute 8×7 (or another assigned from the 8 times table) and shares the steps used.

6. 50–58 min · Missing number equations. Teacher gives short sets:

• 8×? = 56 -?÷8 = 7
• 8×5 =? Student solves each equation and verifies by checking with multiplication or division.

7. 58–60 min · Exit ticket. Student completes two problems on paper:

• 8×6 = ____
• 48÷8 = ____

Resources

• Blank 8 times table grid (1–10)
• Number line (0–100 or up to 80)
• Base-ten blocks or counters (optional for building “8 groups”)
• Small set of multiplication/division cards (8×n and related division facts)
• Whiteboard or notebook for showing reasoning
• Exit ticket sheet

Assessment

• Teacher observation during warm-up pattern talk: does the student explain how products change?
• Check accuracy and reasoning during the multiplication–division connection activity (can the student match facts correctly and justify the link?).
• Exit ticket for quick mastery of two key facts plus the related division.

Differentiation

• Support: provide a partially completed 8 times table with the first few products already filled; allow the student to use skip-counting by 8 and a number line.
• Support: offer sentence starters such as “Each time I go up one number, I add ____,” and “I know ____ because × = ____.”
• Extension: if the student finishes early, ask for an additional explanation: “Why is every 8-times product even?” or “Create one division fact from 8×4.”
• For EAL/SEN needs: reduce the number of problems per step, but keep the focus on explaining one clear pattern and one multiplication–division relationship.

Extension (optional)

• N/A