Lesson Overview

This grade 5 multiplication lesson plan uses the area model as a concrete, visual strategy for multiplying multi-digit numbers. Students move from drawing rectangles partitioned into place-value sections toward understanding why the standard algorithm works. The lesson fits squarely into the Number strand and supports expectations found across provincial mathematics curricula, including Ontario’s Grade 5 Math curriculum and BC’s updated curriculum under the Number content area.

Estimated time: 60 to 75 minutes. This lesson works well mid-unit, after students are comfortable with place value to 10 000 and basic multiplication facts.

Learning Goal

Students will use an area model to multiply a 2-digit number by a 2-digit number, and connect each partial product in the model to a step in the standard multiplication algorithm.

Success Criteria

  • I can partition a 2-digit by 2-digit multiplication problem into place-value sections using an area model.
  • I can calculate each partial product and add them together to find the total.
  • I can explain what each section of my area model represents.
  • I can connect at least two steps from my area model to the standard algorithm.

Materials

  • Grid paper or printed area model templates (1 per student)
  • Mini whiteboards or scrap paper for the hook activity
  • Markers in two colours (one colour per factor)
  • Chart paper for the anchor chart built during direct instruction
  • Projector or interactive whiteboard to display examples
  • Optional: base-ten blocks for students who benefit from tactile support

Hook

Ask students to imagine they are helping a parent tile a rectangular patio. The patio is 23 tiles long and 14 tiles wide. How many tiles do they need to order? Give students two minutes to try the problem any way they like on their mini whiteboards. Do not correct strategies yet.

Take a quick class survey: who got an answer, who is unsure, who tried to draw something? This surfaces prior knowledge and creates genuine curiosity about a more organised approach. The “real job” framing connects to financial literacy, a cross-curricular thread many provincial curricula now emphasise at this grade.

Direct Instruction

Return to the 23 x 14 patio problem. Draw a large rectangle on chart paper or the board. Label the top edge 23 and the side edge 14. Tell students you are going to split the patio into sections that are easier to calculate.

Draw a vertical line dividing the rectangle into a section of 20 and a section of 3 across the top. Draw a horizontal line dividing it into a section of 10 and a section of 4 down the side. You now have four smaller rectangles.

  1. Top-left: 20 x 10 = 200
  2. Top-right: 3 x 10 = 30
  3. Bottom-left: 20 x 4 = 80
  4. Bottom-right: 3 x 4 = 12

Write each product inside its rectangle. Add the four partial products: 200 + 30 + 80 + 12 = 322 tiles. Then show the standard algorithm beside the area model and point to each partial product. Students often see the “hidden” rows in the algorithm for the first time at this moment, which is a genuine instructional payoff.

Keep the anchor chart visible for the rest of the lesson. Label each section clearly so students have a reference they can return to.

Guided Practice

Work through a second example together: 34 x 21. This time, invite students to tell you where to draw the partition lines and what to write in each section. Use think-pair-share so quieter students have a chance to rehearse their thinking before the whole-group share.

As you work, use probing questions: “Why did we split 34 into 30 and 4?” and “What multiplication fact goes in this section?” Record all four partial products and add them together. Then write out the standard algorithm and ask students to point to where each partial product appears.

Check for understanding before moving students to independent work. A quick thumbs up, sideways, or down gives you a readable snapshot of the room.

Independent Practice

Students complete three to four problems on grid paper or the area model template. Suggested problems that work well at this level:

  • 32 x 24
  • 41 x 36
  • 53 x 27
  • Challenge: 46 x 48 (students who finish early)

Ask students to draw the full area model, record all partial products inside the sections, and write the final sum. For at least one problem, they should also write the standard algorithm beside the area model and draw arrows connecting matching steps. Circulate and take observational notes on student understanding.

Consolidation

Bring the class back together for a 10-minute debrief. Choose two or three student work samples that show different approaches or a common error. Display them anonymously and ask the class what they notice.

Close with an exit ticket: give students the expression 25 x 33. Ask them to draw the area model and write the answer. Collect exit tickets to sort students into three groups for the next day’s instruction.

Differentiation

Students Who Need More Support

Provide a pre-drawn rectangle template with the partition lines already in place. Students fill in the factors along the edges and calculate each section. Base-ten blocks help make the physical idea of area concrete before moving to the diagram. Pair these students with a partner during guided practice rather than having them work independently right away.

Students Ready for Extension

Move to 3-digit by 2-digit problems such as 123 x 24. Ask students to predict how many sections their area model will need before drawing it. They can also explore: does the order of the factors change the area model or the answer? This connects to the commutative property in a visual way.

Multilingual Learners

Pre-teach the vocabulary “partition,” “partial product,” and “factor” using visuals before the lesson. A bilingual word wall or personal math dictionary helps students connect terms in their home language to the English mathematical vocabulary. Allow students to explain their thinking to a partner in their home language before sharing with the class.

Assessment

Use the exit ticket as formative assessment. Students who correctly complete both the area model and the final sum are likely ready to move toward the standard algorithm with understanding. Students who have the right answer but an incomplete or missing area model may be relying on memorised steps and would benefit from returning to the visual model.

For curriculum alignment, this lesson addresses multiplication expectations in Ontario’s Grade 5 Math curriculum (2020) under Number, and connects to similar expectations in Alberta’s Mathematics Kindergarten to Grade 9 Program of Studies. Teachers in BC can map this to the Number curricular content for Grade 5 on the BC Curriculum site.

Follow-up Lessons

This lesson is designed as a bridge. The next logical step is to have students use the area model alongside the standard algorithm on the same problem, gradually reducing the model until they trust the algorithm. A follow-up lesson might tackle 3-digit by 2-digit multiplication, keeping the same area model structure but adding one more column of sections.

After that, estimation strategies fit naturally. Students who understand partial products can make reasonable estimates by rounding factors before calculating, a useful real-world skill. You can find additional lesson structures and number sense activities in our teaching lessons section.

  • Teaching Resources: Browse printable math templates, including area model graphic organisers suitable for Grade 4 through 6.
  • Teaching eBooks: Downloadable math units aligned to Canadian provincial curricula, including multiplication and division units for the intermediate grades.
  • Links by Subject: Curated links to free Canadian math resources, organised by subject, including Statistics Canada’s learning resources for data and number.
  • NCTM Illuminations: Free interactive area model tools that work on classroom projectors.
  • Mathies.ca: A free Ontario-developed digital tool set that includes an interactive area model tool, available in English and French.

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