Classifying numbers
http://illuminations.nctm.org/LessonDetail.aspx?ID=L274
A lesson plan for grades 6–7 Mathematics
Students use Venn diagrams to represent the relationships between the factors or products of two numbers. Illuminations provides helpful activity sheets and detailed instructions for completing the lesson.
Students will:
- Review multiplication facts.
- Develop understanding of factors and multiples and the relationships between them.
- Use Venn Diagrams to demonstrate these relationships.
- Understand that some products are the result of more than one factor pair.
NCTM Standards and Expectations:
- Develop and analyze algorithms for computing with fractions, decimals, and integers and develop fluency in their use.
- Develop and use strategies to estimate the results of rational-number computations and judge the reasonableness of the results.
- Develop meaning for integers and represent and compare quantities with them.
North Carolina Curriculum Alignment
Mathematics (2004)
Grade 6
- Goal 1: Number and Operations - The learner will understand and compute with rational numbers.
- Objective 1.04: Develop fluency in addition, subtraction, multiplication, and division of non-negative rational numbers.
- Analyze computational strategies.
- Describe the effect of operations on size.
- Estimate the results of computations.
- Judge the reasonableness of solutions.
- Objective 1.05: Develop fluency in the use of factors, multiples, exponential notation, and prime factorization.
- Objective 1.04: Develop fluency in addition, subtraction, multiplication, and division of non-negative rational numbers.
Grade 7
- Goal 1: Number and Operations - The learner will understand and compute with rational numbers.
- Objective 1.02: Develop fluency in addition, subtraction, multiplication, and division of rational numbers.
- Analyze computational strategies.
- Describe the effect of operations on size.
- Estimate the results of computations.
- Judge the reasonableness of solutions.
- Objective 1.02: Develop fluency in addition, subtraction, multiplication, and division of rational numbers.


