Lesson objective: Apply knowledge of factors and prime and composite numbers to solve problems in real-world situations.

This lesson provides an opportunity for students to apply their knowledge and understanding of prime and composite numbers to a real-life situation. Students are asked to determine the number of band members a teacher needs to meet her requirements and to provide possible rectangle formations for the band.

Key Concept students will use:

- Prime numbers are whole numbers greater than one that have only set of factor pairs. Composite numbers are whole numbers greater than one that have more than one set of factor pairs.

Skills students will use:

- Use a t-chart or area model to determine factors of a number.
- Use a t-chart or area model to determine if a number is prime or composite.

Students engage in Mathematical Practice 3 (construct viable arguments and critique the reasoning of others) as they demonstrate their thinking processes and justify their conclusions about prime or composite numbers. Students will also need to analyze the reasoning and models of other students to determine if they correctly identified numbers as prime or composite.

**Key vocabulary: **

- area model
- composite
- factor pair
- prime
- t-chart