Intro to Multiplication

Overview

Students will learn multiplication as “equal groups” and repeated addition, using arrays (rows and columns) and pictures to connect the idea to equations. This is Lesson 1 of 12, so the focus is on meaning, not speed.

Learning intentions

• Students will be able to explain multiplication as equal groups (repeated addition).
• Students will be able to represent an equal-groups situation with a picture, array, and multiplication equation.
• Students will be able to interpret a product as the total number of objects.
• Students will be able to match a word situation to an equation with a symbol for the unknown (when needed).

Success criteria

• I can describe a multiplication problem as equal groups or repeated addition.
• I can draw an array or picture to show “3 groups of 4” (for example).
• I can write a multiplication equation that matches my drawing and explain what the numbers mean.
• I can find the total number of objects and state it clearly.

Curriculum links

• Operations and Algebraic Thinking — interpret products of whole numbers as total objects in equal groups.
• Operations and Algebraic Thinking — use multiplication and division within 100 to solve word problems with equal groups using drawings and equations.

Lesson structure (60 minutes)

1. 0–8 min · Hook (equal groups). Teacher shows 3 containers labeled “Group 1–3,” each with 4 counters, and asks: “How many counters total?” Students count in two ways: skip-counting by 4 and counting all counters, then share which is faster and why.

2. 8–18 min · Connect repeated addition. Teacher writes: “4 + 4 + 4 = 12” and says, “This can also be shown with multiplication.” Students turn and talk: “How does adding 4 three times relate to groups?” Teacher listens for language like “same number each time” and “equal groups.”

3. 18–28 min · Introduce multiplication notation. Teacher displays an array grid and places 3 rows with 4 dots in each row (or 3 columns with 4 rows—keep it consistent). Teacher says: “3 groups of 4” is written as 3 × 4 and equals 12. Students identify the meaning of each factor (what 3 and what 4 represent) using sentence frames:

• “In this array, 3 means ______.”
• “In this array, 4 means ______.”
• “So 3 × 4 means ______ total objects.”

4. 28–42 min · Guided practice with word problems. Teacher gives a set of 3 short word problems on the board (read aloud once, then again if needed). Each problem includes equal groups.

• Problem A: “There are 2 packs with 5 stickers in each pack. How many stickers?”
• Problem B: “A game has 4 rounds. Each round has 3 points. How many points total?”
• Problem C: “Tina has 6 bags. Each bag has 2 apples. How many apples?” For each problem, teacher models the steps: draw equal groups/array → write repeated addition → write a multiplication equation → state the total. Students complete one problem independently (teacher chooses Problem B if students need a mid-level start), then do the last two with teacher support, showing both repeated addition and multiplication.

5. 42–52 min · Quick check: interpret products. Teacher writes two equations without drawings:

• “4 × 6 = ____”
• “3 × 5 = ____” Students answer by interpreting the product as total objects in equal groups, first drawing a quick sketch (or array) and then filling in totals. Teacher circulates/monitors understanding and prompts: “What do the 4 and 6 represent in your drawing?”

6. 52–60 min · Exit ticket and closure. Teacher shows one final word problem: “You have 5 boxes with 2 crayons in each box. How many crayons?” Students write:

• an equation as repeated addition, and
• a multiplication equation,
• plus one sentence: “5 × 2 means total ______ crayons.” Teacher collects and summarizes common successes and one misconception to address next lesson.

Resources

• Counters or small classroom objects
• Array dot cards or blank grid paper (for quick arrays)
• Whiteboard and markers
• Word problem cards (equal groups only)
• Student pencil and paper
• Visual prompt slide/chart: “Equal groups → Array → Repeated addition → Multiplication”

Assessment

• Formative during Hook and Guided practice: listen for correct “equal groups” explanations and factor meanings.
• Formative in Quick check: check that students match the equation to the total objects from their interpretation/drawing.
• Exit ticket: verify students can write both repeated addition and multiplication equations for an equal-groups context and state the total.

Differentiation

• Support:
• Provide sentence starters for interpreting factors (“The ___ means the number of groups; the ___ means how many in each group.”).
• Offer partially drawn arrays for students to complete.
• Allow verbal counting strategies (skip-counting) before requiring multiplication notation.
• Extension:
• Challenge students to swap forms: start with “3 × 4” and write the repeated addition and word sentence that match it.
• EAL/SEN considerations:
• Use consistent language: “groups,” “each,” “in every,” and “total.”
• Keep numbers small and concrete; use objects to prevent purely symbolic confusion.