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Mathematics: Decimals
Grade 5 · Sample LessonJun 17, 2026

Learning Objectives

By the end of this lesson, students will be able to: 1. Convert fractions with denominators of 10 and 100 into decimal form. 2. Read and write decimals to the hundredths place. 3. Use decimals to represent real-world quantities such as money and measurements.

Materials

- Whiteboard and markers - Decimal place value chart - Base-ten blocks or place value disks (optional) - Student notebooks or worksheets

Activities

Introduction (5 minutes) Begin by writing the fraction 3/10 on the board. Ask students: - “What does this fraction represent?” - “How could we write this amount using decimals?” Guide students to connect tenths to decimals, introducing 0.3 as another way to represent the same value. Explain that decimals are another way to show parts of a whole, just like fractions. Activities Activity 1: Fractions to Decimals (10 minutes) 1. Display several fractions on the board: - 1/10 - 5/10 - 25/100 2. For each fraction, model how to write it as a decimal using a place value chart. 3. Have students practice converting each fraction in their notebooks. Example: 25/100 = 0.25 Discuss how the denominator tells us which decimal place to use. Activity 2: Real-World Decimals (10 minutes) Present a short scenario: “A notebook costs $2.75. What does the decimal tell us?” Discuss how: - The whole number represents dollars - The digits after the decimal represent cents Have students write two real-world examples using decimals (money, measurements, or scores). Activity 3: Partner Practice (10 minutes) In pairs, students solve a short set of problems: - Convert 7/10 to a decimal - Convert 40/100 to a decimal - Write a decimal that represents fifty-six hundredths Circulate to check understanding and provide support.

Assessment

Exit Ticket Students answer the following before leaving: 1. Convert 6/10 to a decimal. 2. Write a decimal that represents ninety-three hundredths. 3. Explain, in one sentence, how fractions and decimals are related.

Differentiation

- Support: Use visual models such as base-ten blocks to reinforce place value. - Extension: Challenge students to convert decimals back into fractions and simplify when possible.

Homework

Students find three examples of decimals at home (prices, measurements, or scores) and write what each decimal represents.
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