Equal Groups Multiplication

Overview

Today’s lesson introduces multiplication as repeated addition using equal groups. Students will use manipulatives and visual representations to connect “groups of” with number sentences.

Learning intentions

• Students will be able to describe multiplication as repeated addition.
• Students will represent equal groups using drawings, arrays, and number sentences.
• Students will solve simple multiplication situations using skip counting and manipulatives.
• Students will connect multiplication to real-world situations that involve equal groups.

Success criteria

• I can explain what multiplication means as repeated addition.
• I can show an equal-groups situation with objects and a matching number sentence.
• I can use skip counting to find the total number of objects.
• I can check my answer by matching it to the groups I used.

Curriculum links

• Demonstrate understanding of multiplication as repeated addition and equal groups.
• Use visual models (arrays/equal groups) to represent multiplication.
• Use number patterns, including skip counting, to solve and verify multiplication facts.
• Communicate mathematical thinking using drawings, words, and number sentences.

Lesson structure (60 minutes)

1. 5 min – Launch with a question

• Display 3 bags with 4 counters in each (or draw 3 equal groups on the board). Ask: “How many counters altogether? How do you know without counting one-by-one?”
• Elicit ideas such as grouping, skip counting, and repeated addition.

2. 10 min – Teach using manipulatives (I do)

• Model with counters: show one group of 4, then place a second group of 4, and a third group of 4.
• Say and write: “We have 3 equal groups of 4. That is 4 + 4 + 4, which is 3 × 4.”
• Emphasise language: “equal groups,” “groups of,” “altogether,” and “repeated addition.”

3. 10 min – Guided practice: represent and match (We do)

• Provide each pair a small bag of counters and cards showing statements (teacher prepares):
• “2 groups of 5”
• “4 groups of 3”
• “3 groups of 2”
• Students build the equal groups with counters, then record a repeated addition expression and a multiplication number sentence.
• Teacher circulates, asking: “How many groups?” “How many in each group?” “What are you adding each time?”

4. 10 min – Visual model: array/equal groups on paper

• On the board, convert one student example into an array (rows × columns) and label rows/columns.
• Students copy one example into their notebook: draw an array, then write the matching repeated addition and multiplication sentence.
• Quick class check: point to the array and ask students to name “the number of groups” and “the group size.”

5. 8 min – Whole-class reasoning discussion

• Use 2–3 prompts:
• “What would the number sentence be for 5 groups of 2?”
• “If I wrote 3 × 6, what repeated addition could I write?”
• “How can we use skip counting to find the total?”
• Encourage students to explain using both words and a representation (counters/array).

6. 12 min – Independent practice (You do)

• Students complete 4 short tasks (worksheet or notebook prompts):
• Task A: Draw equal groups for “3 groups of 4” and write both number sentences.
• Task B: Match a repeated addition to a multiplication sentence.
• Task C: Use skip counting to find “2 × 7” and draw an equal-groups picture.
• Task D: Word problem: “There are 4 cupcakes in each box. There are 3 boxes. How many cupcakes?” Show equal groups and write the sentence.
• Students may use counters or draw arrays; require at least one visual model per task.

7. 5 min – Exit ticket and closure

• Exit ticket (one prompt): “Show 2 groups of 6. Write the repeated addition and the multiplication sentence for the total.”
• Collect to review understanding and common misconceptions (counting all individually, confusion between group size and number of groups).

Resources

• Counters, small reusable grouping materials (at least 1 set per pair)
• Paper cups/bags or base-ten blocks if available
• Board markers and chart paper
• Task cards with equal-groups statements (teacher-made)
• Student notebook or math journal
• Arrays/equal-groups template (optional) for quicker drawing
• Simple worksheet or teacher-created task sheet
• An area on board labelled “groups” and “in each group”
• Timer for independent work

Assessment

• Observation during pair work: use a quick checklist for correct equal-groups building and matching number sentences.
• Review of independent tasks for accurate conversion between repeated addition and multiplication.
• Exit ticket to confirm students can identify group count vs group size and express both representations.

Differentiation

• Support: Provide sentence starters and a worked example scaffold (“3 groups of 4 means 4 + 4 + 4 = 3 × 4”). Offer a partially drawn array for students to finish.
• Support: Allow manipulatives for all tasks; encourage counting by groups and skip counting instead of counting each object.
• Extension: Give a challenge card with three different representations to complete (counters, array, and repeated addition) and ask students to explain how they know.
• EAL/SEN: Use consistent visuals and gestures for “groups of” and “altogether.” Provide word bank (groups, in each group, total) and encourage drawing even if writing is difficult.

Learning focus for teachers (quick reminders)

• Ensure students see multiplication as repeated addition of equal groups.
• Always connect: number of groups (× first factor) and number in each group (× second factor).
• Require a visual model or drawing alongside each number sentence early in the unit.