Decimal Notations for Fractions & Comparing Decimals to the Hundredths Lesson Plan

Introduction

As a hook, ask students why it might be useful to write fractions like 3/10 or 7/100 in a shorter way. Encourage them to think about times when they might see numbers written differently, such as prices, measurements, or scores. Refer to the real-life application on the last page of the guided notes and the FAQs below for additional ideas to spark discussion.

Use the first page of the guided notes to introduce decimal notation for fractions with denominators 10 and 100. Walk through how fractions like 4/10 and 56/100 can be written as decimals 0.4 and 0.56 by using number lines and models shown on the page. Emphasize that the first digit after the decimal point shows tenths and the second digit shows hundredths. Refer to the FAQ below for guidance on explaining place value concepts and addressing common student questions such as “Why do we put a zero in front of the decimal?” or “How do decimals compare to fractions?”

Use the second page of the guided notes to introduce comparing decimals to the hundredths place. Walk through strategies for comparing decimals using the symbols <, >, and = by examining the tenths and hundredths digits. Use the examples and models in the notes to show step-by-step how to decide which decimal is greater or if they are equal. Address frequent student questions like “What if one decimal has fewer digits?” or “How do you know which place value to look at first?” Refer to the FAQ below for ideas on clarifying these points and checks for understanding.

Based on student responses to the guided notes and checks for understanding embedded in the lesson, reteach any decimal notation or comparison concepts that students find challenging. For classes with diverse proficiency levels, consider pulling small groups for targeted reteaching while allowing more advanced students to begin working on the practice exercises independently.

Practice

Have students practice decimal notation for fractions and comparing decimals using the color by code activity. Walk around to answer student questions.

Fast finishers can dive into the maze and problem sets activity for extra practice. You can assign it as homework for the remainder of the class.

Real-Life Application

Bring the class back together, and introduce the concept of how decimal notation for fractions and comparing decimals are used in real-life situations such as money, measurements, and data analysis. For example, discuss how prices at a store are written in decimals instead of fractions, or how recipe measurements can involve decimals to the hundredths place. Refer to the FAQ for more ideas on how to teach it!

Extensions

Additional Self-Checking Digital Practice

If you’re looking for digital practice for decimal notation for fractions and comparing decimals, try my Pixel Art activities in Google Sheets. Every answer is automatically checked, and correct answers unlock parts of a mystery picture. It’s incredibly fun, and a powerful tool for differentiation.

Here’s 1 activity to explore:

• Decimal Notation for Fractions Denominators 10 & 100 Compare Decimals Pixel Art