Standard: 5.NBT.A1 – Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Grade level: Grade 5
Subject: Mathematics
Domain: Number & Operations in Base Ten
Teacher Overview
This standard focuses on understanding place value in multi-digit numbers, which is foundational for performing arithmetic operations and understanding larger numbers. Mastery of this concept is crucial for students as it underpins many other mathematical concepts they will encounter in Grade 5 and beyond. Students should already know how to identify and compare the value of digits in smaller numbers and be familiar with basic multiplication and division.
After mastering this standard, students will be prepared to tackle more complex arithmetic operations and understand the properties of operations in the context of the base-ten number system.
Common Misconception 1
A common misconception is that the value of a digit changes by one place rather than by a factor of ten. This misunderstanding can lead to errors in calculations and difficulty in grasping more advanced place value concepts.
Intervention 1
To address this, use visual aids like place value charts and base-ten blocks. These tools help students visualize how each place represents ten times the value of the place to its right.
Common Misconception 2
Another common misconception is that the value of a digit is the same regardless of its position in the number. This can cause confusion when students work with larger numbers or decimals.
Intervention 2
Provide students with varied practice using different numbers and real-world examples, such as money and measurements, to reinforce how a digit’s position affects its value.
Prerequisite Knowledge
Students should have a solid understanding of basic place value concepts, including identifying the value of digits in numbers up to at least four digits. They should also be comfortable with basic multiplication and division facts.
Subsequent Knowledge
Students will develop skills in performing operations with multi-digit whole numbers and decimals to hundredths. They will also learn to understand and use the properties of operations to solve problems involving place value and the base-ten number system.
Instructional Activities
- Using place value charts to represent numbers
- Playing place value games with cards or dice
- Solving real-world problems involving money and measurements
- Creating and interpreting bar graphs and charts
- Conducting unit conversion activities
