Build Multiplication Thinking

Overview

Today students connect repeated addition to multiplication by using equal groups, arrays, and number sentences. They practice writing multiplication statements to match “add the same number again” situations.

Learning intentions

• Students will be able to explain multiplication as repeated addition.
• Students will represent equal-group situations using drawings, arrays, and number sentences.
• Students will write a multiplication equation to match a repeated-addition expression.
• Students will solve and check multiplication problems in context.

Success criteria

• I can describe how repeated addition makes the same total.
• I can write a multiplication sentence for an equal-groups problem.
• I can match repeated addition equations to multiplication equations and explain why they match.
• I can solve a multiplication problem using strategies like skip counting, arrays, or repeated addition.

Curriculum links

• Operations and Algebraic Thinking: represent multiplication as repeated addition and solve word problems.
• Understand properties of multiplication (commutative understanding via equal groups and consistent counting patterns).
• Use models (arrays/equal groups) to connect visual representations to equations.

Lesson structure (75 minutes)

1. 5 min — Warm-up: Equal groups quick sort Display 4–5 picture cards showing equal groups (e.g., 3 groups of 4 dots). Students chorally identify “how many in all” using skip counting and briefly say how they know.

2. 10 min — Mini-lesson: From repeated addition to multiplication Write: 4 + 4 + 4 = __. Ask: “What does the 3 mean? What does the 4 mean?” Then introduce: 3 × 4 = __ and connect the meaning: multiply tells how many groups and how many in each group. Emphasize: the total is the same either way.

3. 15 min — Guided practice: Matching statements Give a worksheet or board set with pairs to match:

• 2 + 2 + 2 + 2 = __ with __ × 2
• 5 + 5 + 5 = __ with __ × 5
• 3 + 3 + 3 + 3 + 3 = __ with __ × 3 Students work with a partner: draw a quick set/array, write the multiplication sentence, then say one sentence explaining the match.

4. 10 min — Whole-class discussion: Arrays as evidence Draw an array for 3 × 4 (3 rows, 4 columns). Have students count by rows and by columns, then connect both to repeated addition:

• “Each row is 4, and there are 3 rows, so it’s 4 + 4 + 4.” Reinforce vocabulary: rows/columns as equal groups.

5. 15 min — Independent practice: Solve word problems Students solve 4 word problems that clearly show equal groups, such as:

• “There are 3 bags with 6 apples in each bag. How many apples?”
• “A teacher makes 4 batches with 5 stickers each. How many stickers?” For each, students must:
• write the repeated addition equation,
• write the multiplication equation,
• find the total.

6. 10 min — Checkpoint: Error analysis and correction Present one incorrect student-style solution on the board (e.g., using addition wrong or swapping factors without justification). In pairs, students decide what went wrong and rewrite the correct repeated addition and multiplication equation, including a brief explanation.

7. 10 min — Exit ticket: Show the connection Provide two problems:

• A short equal-groups picture (e.g., 4 groups of 3) and ask for both repeated addition and multiplication.
• A sentence like “Add 7 three times” and ask students to write the multiplication statement and total.

Resources

• Picture cards or slides showing equal groups (dots, objects, or arrays)
• Small whiteboards or scrap paper for quick responses
• Multiplication and repeated-addition example cards (for matching)
• Student worksheet with 4 word problems and space for both equation types
• Colored markers or counters for building arrays
• Chart paper anchor example: “Repeated addition ↔ multiplication”
• Timer for transitions
• Exit ticket slips

Assessment

• Formative: teacher listens during guided matching for correct factor meaning (groups vs. items per group).
• Formative: independent practice checks whether students write both equations and can compute totals correctly.
• Summative (mini): exit ticket verifies students can convert repeated addition descriptions into multiplication statements and justify meaning.

Differentiation

• Support: provide a partially completed sentence frame, such as “There are ___ groups of ___, so it is ___ + ___ + ___ = ___ and ___ × ___ = ___.”
• Support: use counters to physically form equal groups before writing equations.
• Extension: include a task with an array where students must write two equivalent repeated-addition equations and one multiplication equation.
• EAL/SEN: allow drawing to explain thinking; pair students strategically; read word problems aloud and highlight the “in each” or “per group” language.