Multiplication Foundations

Overview

This lesson introduces multiplication as repeated addition and helps students represent it using arrays and equal groups of objects. Students learn to connect “how many groups” and “how many in each group” to the multiplication idea.

Learning intentions

• Students will understand multiplication as repeated addition.
• Students will model multiplication using arrays and equal groups.
• Students will write and read simple multiplication sentences (whole numbers).
• Students will explain their thinking using objects, drawings, and counting strategies.

Success criteria

• I can show a multiplication idea as repeated addition using counters.
• I can make an array for a given multiplication sentence and count rows and columns.
• I can create equal groups to match a multiplication question.
• I can say what each number in a multiplication sentence means for an array.

Curriculum links

• Number and place value concepts applied to counting and grouping (early number sense).
• Operations with whole numbers, developing understanding of multiplication as equal groups and repeated addition.
• Using efficient strategies to calculate and to reason about answers.
• Communication of mathematical thinking using representations (objects, diagrams, number sentences).

Lesson structure (45 minutes)

1. 5 minutes – Warm-up: skip counting and equal groups

• Display sets of dots/counters (e.g., 2 groups of 3; 3 groups of 2).
• Students quickly count by 2s or 3s to find the total, then share how they counted (skip counting, counting on).

2. 7 minutes – Teacher model: repeated addition

• Use a tray of counters to show: “3 groups of 2.”
• Physically build 3 groups of 2 and write: 2 + 2 + 2 = 6.
• Introduce the multiplication link: “So 3 × 2 means 2 + 2 + 2,” and point to the groups while counting.

3. 8 minutes – Guided practice: equal groups to multiplication sentences

• In pairs, students receive cards or prompts: make 4 groups of 2, 2 groups of 5, etc. (stay within facts that the class is ready for in Year 3/4).
• Students build with counters, record as repeated addition, then write the corresponding multiplication sentence.
• Teacher circulates, prompts: “How many groups?” “How many in each group?”

4. 10 minutes – Activity: arrays as a visual multiplication tool

• Students use grid paper or a mat with rows/columns (e.g., create 3 columns of 4; 2 rows of 6).
• Ask them to draw an array, then count by rows and by columns.
• Whole-class check: choose one array and ask students to explain how rows and columns show the total.

5. 8 minutes – Mini-assessment: represent and match

• Provide a short set (4–5 items) on a worksheet or slide:
• Part A: Match a repeated addition equation to a multiplication sentence.
• Part B: Draw an array for a given multiplication sentence.
• Part C: Colour or label rows and columns and write the total.
• Students work independently; teacher collects quick observations.

6. 5 minutes – Reflection: explain using “groups” language

• Students turn-and-talk: “What does the first number in a × b represent?” and “What does the second number represent?”
• Invite 2–3 students to share a correct explanation using at least one representation (counters, array, or number sentence).

7. 2 minutes – Pack-up and next lesson link

• Teacher previews: next lessons will strengthen fluency with repeated addition and building towards mastering multiplication facts through arrays and groups.

Resources

• Counters or small objects (including alternative for students who need tactile support).
• Array mats or grid paper (pre-drawn dot grids can help).
• Multiplication cards (e.g., “3 × 2”, “4 × 3”) appropriate to class readiness.
• Prompt cards for “groups” scenarios (how many groups, how many in each group).
• Whiteboards/slates and markers (optional for quick checks).
• Worksheets or quick-response sheet for the mini-assessment.
• Number line strip for skip counting (for students who use counting strategies).
• Teacher checklist for observation notes.

Assessment

• Teacher observation during guided practice: ability to form equal groups and express repeated addition.
• Mini-assessment evidence: correct matching of repeated addition to multiplication and accurate array drawings.
• Student explanation in reflection: clear use of “number of groups” and “number in each group.”

Differentiation

• Support:
• Provide partially filled array templates and sentence starters (e.g., “There are __ groups of __.”).
• Limit to smaller factors initially and allow counting by ones with structured prompts.
• Offer physical array cards where students can place counters into rows/columns.
• Extension:
• Ask students to generate their own multiplication sentence from an array and then write both repeated addition and multiplication.
• Challenge with “How many different arrays can you make for the same multiplication sentence?” (within manageable ranges).
• EAL support:
• Use consistent language frames: “× means repeated addition,” “rows are __,” “columns are __.”
• Pair with a supportive partner and provide picture prompts (groups of objects, arrays).
• SEN support:
• Reduce item count on the mini-assessment while keeping success criteria.
• Use colour-coding for rows and columns and allow verbal responses in addition to written work.