Grade 5 · Mathematics
Quarter 2 · Week 1 · TEKS
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This Grade 5 mathematics lesson focuses on teaching students how to round decimals to the nearest tenth or hundredth. The lesson aligns with TEKS.MATH.5.02C and emphasizes understanding place value relationships and applying mathematical process standards. Students will engage with manipulatives, drawings, and equations to develop rounding strategies, explain their reasoning, and solve real-world problems involving decimals.
Students should understand place value for decimals, including tenths and hundredths, and have experience reading and writing decimal numbers. Familiarity with comparing decimal values and basic rounding of whole numbers will support learning.
Decimals are numbers that show parts of a whole using place values to the right of the decimal point. The first place to the right is the tenths place, and the second is the hundredths place. For example, in 3.47, the 4 is in the tenths place, and the 7 is in the hundredths place. Understanding these positions is essential to rounding decimals correctly.
Rounding a decimal means finding the closest value to a specified place value (tenths or hundredths) that is simpler or easier to work with. When rounding to the nearest tenth, we look at the hundredths digit to decide whether to round the tenths digit up or keep it the same. Similarly, when rounding to the nearest hundredth, we look at the thousandths digit (if available) or consider the number's context to decide how to round.
To round a decimal to the nearest tenth, identify the digit in the tenths place and look at the digit immediately to the right (the hundredths place). If the hundredths digit is 5 or greater, increase the tenths digit by one. If it is less than 5, keep the tenths digit the same and change all digits to the right to zero or drop them if not needed. For example, rounding 4.36 to the nearest tenth results in 4.4 because the hundredths digit (6) is greater than 5.
To round a decimal to the nearest hundredth, identify the digit in the hundredths place and look at the digit immediately to the right (the thousandths place). If the thousandths digit is 5 or greater, increase the hundredths digit by one. If it is less than 5, keep the hundredths digit the same. For example, rounding 2.347 to the nearest hundredth results in 2.35 because the thousandths digit (7) is greater than 5.
- Students may confuse which digit to look at when rounding (e.g., looking at the tenths digit when rounding to the hundredths place). - Some students might think rounding always means rounding down. - Students may forget to change digits after the rounding place to zero or drop them, leading to incorrect answers. - Misunderstanding place value can cause errors in identifying which digit to round.
Concrete materials like base-ten blocks or decimal grids help students visualize decimals and the rounding process. Number lines marked with tenths and hundredths can show how decimals are positioned and which rounded value is closest. Drawing decimals and their rounded forms reinforces understanding.
Round 5.46 to the nearest tenth.
Look at the tenths digit (4) and the hundredths digit (6). Since the hundredths digit is 6, which is greater than 5, round the tenths digit up from 4 to 5. The rounded number is 5.5.
5.5
Round 3.842 to the nearest hundredth.
Look at the hundredths digit (4) and the thousandths digit (2). Since the thousandths digit is 2, which is less than 5, keep the hundredths digit the same. The rounded number is 3.84.
3.84
Introduce the lesson by showing a decimal number on the board, such as 3.46. Ask students what the digits mean and where the tenths and hundredths places are. Use a place value chart to demonstrate.
Students identify the tenths and hundredths digits in the number and share what they notice about the decimal places.
This activity activates prior knowledge about decimal place value and prepares students to understand rounding decimals to specific places.
Provide students with decimal numbers and manipulatives or number lines. Ask them to round the decimals to the nearest tenth using the materials and explain their reasoning to a partner.
Students use manipulatives or number lines to round decimals to the nearest tenth and discuss their strategies with classmates.
Hands-on exploration helps students build conceptual understanding of rounding decimals by visualizing the numbers and their positions on a number line.
Demonstrate rounding decimals to tenths and hundredths on the board with examples. Emphasize the rule: look at the digit to the right of the place you are rounding to decide whether to round up or down.
Students listen and take notes. They ask questions if unclear about the rounding rules.
Direct instruction clarifies the rounding procedure and reinforces the role of place value in rounding decimals.
Present one- and two-step real-world problems involving decimals that require rounding to tenths or hundredths. Guide students to solve these problems using rounding and explain their thinking.
Students solve the problems using rounding strategies and explain their answers to the class or in small groups.
Applying rounding skills to real-world contexts deepens understanding and shows the usefulness of rounding decimals in everyday situations.
Distribute a short quiz or exit ticket with problems asking students to round decimals to tenths or hundredths and explain their reasoning.
Students complete the assessment independently, demonstrating their rounding skills and understanding.
Assessment confirms whether students have mastered rounding decimals to tenths or hundredths and can explain their reasoning.
Students use manipulatives or number lines to round decimals to the nearest tenth and discuss their strategies with classmates.
Identify the tenths and hundredths digits in the decimal 7.53.
The tenths digit is 5, and the hundredths digit is 3.
Round the decimal 4.28 to the nearest tenth.
4.3 because the hundredths digit (8) is greater than 5, so the tenths digit rounds up from 2 to 3.
Round 6.374 to the nearest hundredth and explain your reasoning.
6.37 because the thousandths digit (4) is less than 5, so the hundredths digit stays the same.
Explain why 2.65 rounded to the nearest tenth is 2.7, not 2.6.
Because the hundredths digit is 5, which means the tenths digit rounds up from 6 to 7, making the rounded number 2.7.
A recipe calls for 3.786 cups of flour. Round this amount to the nearest hundredth and explain how rounding helps in cooking.
Rounded to 3.79 cups because the thousandths digit (6) is greater than 5, so the hundredths digit rounds up from 8 to 9. Rounding helps simplify measurements for easier and more practical use in cooking.
Use place value charts and manipulatives to reinforce decimal positions. Provide step-by-step guided practice with immediate feedback. Use number lines to visually demonstrate rounding decisions.
Use visual aids like place value charts and number lines to support understanding. Provide sentence frames to help explain rounding reasoning (e.g., "I looked at the ___ digit to decide..."). Use bilingual resources or glossaries for key vocabulary.
Challenge students to round decimals to the nearest thousandth. Have students create their own real-world problems involving rounding decimals. Explore the impact of rounding on estimation and calculation accuracy.
Ask students to find examples of decimals in their home, such as prices or measurements, and practice rounding them to the nearest tenth or hundredth. Encourage them to explain their rounding process to a family member.
In this lesson, students learned how to round decimals to the nearest tenth or hundredth by understanding place value and using the digit to the right of the rounding place to decide whether to round up or down. They practiced with manipulatives, number lines, and real-world problems, and explained their reasoning to deepen understanding. Mastery of rounding decimals helps students estimate and work with numbers more efficiently in everyday situations.
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