# Lesson 11

Area and the Multiplication Table (optional)

### Lesson Purpose

The purpose of this lesson is for students to explore connections between area and the multiplication table.

### Lesson Narrative

This lesson introduces students to the multiplication table as a way to organize and find products of two whole-number factors (up to 10). Students begin by marking rectangles on blank multiplication tables, always starting from the upper left corner, and finding their areas. They see that the area of each rectangle is the product of the numbers at the right and bottom boundaries of the rectangle.

Through repeated reasoning, students see that finding the value of each cell in the table is like finding the area of a rectangle whose side lengths are a number from the top of the table and one from the left. Along the way, students notice patterns in the table and make use of them to complete the rest of the table (MP8).

This lesson is optional because it gives students more time to take a deeper look at the relationship between multiplication and area, and make addition connections.

• Representation
• MLR8

### Learning Goals

Teacher Facing

• Explore connections between area and the multiplication table.

### Student Facing

• Let’s explore area and the multiplication table.

Building On

Building Towards

### Lesson Timeline

 Warm-up 10 min Activity 1 15 min Activity 2 20 min Lesson Synthesis 10 min Cool-down 5 min

### Teacher Reflection Questions

Which multiplication facts did students seem most confident in as they found products in the multiplication table? For ones they did not know right away, what strategy did they go to?

### Suggested Centers

• Capture Squares (1–3), Stage 6: Multiply with 1–5 (Addressing)
• Rectangle Rumble (3–5), Stage 2: Factors 1–5 (Addressing)
• Five in a Row: Addition and Subtraction (1–2), Stage 7: Add within 1,000 without Composing (Supporting)

### Print Formatted Materials

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