# Lesson 1

Multiples of a Number

### Lesson Purpose

The purpose of this lesson is for students to apply their understanding of area to explore multiples.

### Lesson Narrative

In grade 3, students learned how to find the area of a rectangle by tiling and found that multiplying the side lengths yields the same result.

The purpose of this lesson is for students to apply their understanding of area and multiplication to build rectangles and find their area. As students consider the areas of rectangles with a given side length, they explore the idea of multiples. Students learn that a multiple of a number is the result of multiplying that whole number by another.

While students are introduced to the term multiple in this lesson, they work more with it in upcoming lessons. They do not need to have a formal understanding of the term in this lesson. In upcoming lessons, students also explore and learn the terms factor and factor pair. In this lesson, they refer to them as side lengths within the context of area.

Math Community

Prepare a space, such as a piece of poster paper, titled “Mathematical Community”​ ​and a T-chart with the headers “Doing Math”​ ​and “Norms” as shown here.

The two sections encourage the students and teacher to be mindful that both respective parties are responsible for the way math is done in the classroom.

• Representation
• MLR2

Activity 2: What Areas Can You Build?

### Learning Goals

Teacher Facing

• Find areas of different rectangles with a given a side length.
• Understand that the area of a rectangle is a multiple of each of its side lengths.

### Student Facing

• Let’s build some rectangles.

### Required Materials

Materials to Gather

Materials to Copy

• Centimeter Grid Paper - Standard

### Required Preparation

Activity 1:

• Each group of 2 needs at least 36 tiles.

Activity 2:

• Each group of 2 needs at least 36 tiles from the previous activity.

Building On

Building Towards

### Lesson Timeline

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

### Teacher Reflection Questions

In grade 3, students fluently multiplied and divided within 100 and related area to multiplication and addition. How is that prior knowledge supporting students in understanding multiples in this lesson?

### Suggested Centers

• Can You Build It? (3–5), Stage 2: Multiple Rectangles (Addressing)
• Can You Build It? (3–5), Stage 1: Rectangles (Supporting)
• Capture Squares (1–3), Stage 7: Multiply with 6–9 (Supporting)

### Print Formatted Materials

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