Multiplication Beginnings

Overview

Students explore multiplication as “equal groups” and as repeated addition using visuals and manipulatives. This lesson sets the foundation for later work with multiplication facts, arrays, and solving equations.

Learning intentions

• Students will be able to interpret multiplication as the total number of objects in equal groups.
• Students will be able to connect multiplication equations to repeated addition and real situations.
• Students will be able to write a multiplication equation to match an equal-groups picture.
• Students will be able to explain their thinking using words, drawings, or manipulatives.

Success criteria

• I can show multiplication as repeated addition using counters or drawings.
• I can read “5 groups of 3” and write an equation like 5 × 3.
• I can explain what the factors mean in a picture or story problem.
• I can solve a basic equal-groups problem using multiplication or repeated addition.

Curriculum links

• Operations and Algebraic Thinking — interpret products as total objects in equal groups.
• Operations and Algebraic Thinking — use multiplication and division to solve word problems with equal groups, using drawings/equations.
• Operations and Algebraic Thinking — apply properties as strategies for multiplying (preview through “switching order still same total,” not yet formal facts).

Lesson structure (60 minutes)

1. 0–7 min · Hook (equal groups). Teacher shows a short visual: 4 rows of 3 apples (or circles), labeled “How many apples?” and asks what makes them “equal.” Student points out equal groups and states an estimate (e.g., “I see 4 groups”).
2. 7–18 min · Direct teach: equal groups and repeated addition. Teacher models with counters: build 3 in each group and make 4 groups, then counts total while writing repeated addition on the board (3 + 3 + 3 + 3 = 12). Student builds the same model and then traces the counting steps with a finger while repeating the language “4 groups of 3.”
3. 18–27 min · Introduce multiplication notation. Teacher asks, “How can we write this faster?” and records the multiplication equation 4 × 3 = 12, connecting each part: the first number is the number of groups, the second is the number in each group. Student matches factor meanings to the model (e.g., “4 is how many groups; 3 is how many in each group”).
4. 27–40 min · Guided practice: story to equation. Teacher provides 2 short stories (on cards or projected):

• “Mia packs 5 bags. Each bag has 2 crackers. How many crackers?”
• “A class has 3 tables. Each table has 6 seats. How many seats?” Teacher prompts: draw equal groups or use manipulatives, then write an equation and equation-from-addition. Student chooses one story, draws or builds equal groups, writes repeated addition, and then writes the matching multiplication equation.

5. 40–52 min · Check understanding: array and equation matching. Teacher shows a simple 2-row-by-3-column layout (or 3-by-2) and asks students to identify the number of groups and objects per group, then write one multiplication equation that fits the picture. Student selects the correct factors and writes one equation; teacher asks a follow-up: “What would happen if the picture were rearranged but totals stayed the same?” Student responds that the total objects stays 6 even if groups/rows/columns change.
6. 52–58 min · Exit ticket (quick assessment). Teacher gives a single prompt: “There are 4 equal groups with 5 objects in each group. How many objects are there? Write a multiplication equation and a repeated addition equation.” Student completes independently (draw + equation), with teacher conference as needed.
7. 58–60 min · Share and wrap. Teacher selects one completed solution (using student work) and has the class/learner explain the factors. Student summarizes: “Multiplication shows equal groups and the total.”

Resources

• Counters or small base-ten blocks (at least 20)
• Small paper plates or cups to represent groups
• Visual cards showing equal groups (circles, apples, crayons, etc.)
• Board markers and notebook paper
• “Story cards” for guided practice (two problem sets)
• A simple exit ticket sheet
• Optional: a digital whiteboard or projector for visuals

Assessment

• Formative: Observe during counter-building whether the student correctly makes equal groups and counts total accurately.
• Formative: During guided practice, check that the student can state what each factor represents in the model.
• Summative (quick): Exit ticket requires both a multiplication equation and a repeated addition equation that match the same situation.

Differentiation

• Support: Provide a sentence frame on the board: “I see ___ groups of ___. So I know ___. The equation is ___ × ___ = ___.”
• Support: Offer manipulatives and allow drawing instead of writing first; then translate to equations.
• Extension (for early finishers): Ask a second question on the exit ticket paper: “Write the repeated addition in a different order (still the same total).”
• EAL/SEN: Use consistent language (“groups” and “in each group”) and pre-read story cards; allow oral responses recorded by the teacher if writing is a barrier.