# Lesson 2

Equivalent Decimals

### Lesson Purpose

The purpose of this lesson is for students to reason about equivalent tenths and hundredths in decimal notation.

### Lesson Narrative

Previously, students learned to represent tenths and hundredths shaded on a grid as decimals and fractions. They continue to build their understanding of decimals in this lesson and take a closer look at decimals that are equivalent (for example, 0.2 and 0.20). They articulate why the same value can be expressed in two different ways. They also encounter decimals in equations and on number lines, and use these representations to reason about equivalence.
• Representation

### Learning Goals

Teacher Facing

• Reason about equivalent tenths and hundredths in decimal notation.

### Student Facing

• Let’s think about equivalent decimals.

### Required Materials

Materials to Copy

• Card Sort: Diagrams of Fractions & Decimals

### Required Preparation

Activity 1:

• Create a set of cards from the blackline master for each group of 2–4.

### 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 students did you not hear from today? Review your class list and try to recall something each student did or said. Make note of the students you missed. How will you bring their voices into the lesson tomorrow?

### Suggested Centers

• Rolling for Fractions (3–5), Stage 1: Equivalent Fractions (Supporting)
• Get Your Numbers in Order (1–5), Stage 4: Denominators 2, 3, 4, 5, 6, 8, 10, 12, or 100 (Supporting)