Standard: 3.OA.B6 – Understand division as an unknown-factor problem. For example, find 32 ÷ 8 by finding the number that makes 32 when multiplied by 8.
Grade level: Grade 3
Subject: Mathematics
Domain: Operations & Algebraic Thinking
Teacher Overview
This standard focuses on understanding division as finding an unknown factor. It is crucial for students to grasp this concept to build a strong foundation in algebraic thinking and problem-solving skills. Students should be comfortable with multiplication facts and understand the inverse relationship between multiplication and division.
After mastering this standard, students will be able to tackle more complex division problems and understand division in the context of fractions and real-world scenarios.
Common Misconception 1
Some students may believe that division always results in a smaller number. This is incorrect because division can result in a number larger than the divisor, especially when dealing with fractions.
Intervention 1
Use real-life examples and manipulatives to show how division can result in numbers larger than the divisor, such as dividing a whole into parts.
Common Misconception 2
Students may confuse the roles of the divisor and the dividend, leading to incorrect answers.
Intervention 2
Engage students with visual aids and grouping activities to reinforce the correct roles of the divisor and dividend in division problems.
Prerequisite Knowledge
Students should have a solid understanding of multiplication facts and the relationship between multiplication and division.
Subsequent Knowledge
Students will develop the ability to solve more complex division problems and understand division in the context of fractions.
Instructional Activities
- Use manipulatives to divide objects into equal groups.
- Create word problems that involve sharing items equally.
- Practice division facts with flashcards.
- Solve division problems using arrays.
