Lesson Plan on Understanding Number Theory

Lesson Title:Understanding Number Theory

Lesson Objective: Students will be able to understand and use concepts of number theory in mathematical operations.

Materials: Whiteboard, dry erase markers, worksheets with number theory problems, manipulatives (e.g. base ten blocks, Cuisenaire rods)

Introduction (5 minutes): Start the lesson by asking students if they know what number theory is. Write the phrase “number theory” on the whiteboard and ask students to provide examples of what number theory might include (e.g. prime numbers, greatest common divisors, etc.).

Direct Instruction (20 minutes): Explain to students that number theory is a branch of mathematics that deals with the properties and relationships of numbers. Introduce the concept of prime numbers and composite numbers, and show students how to determine if a number is prime or composite using manipulatives or base ten blocks.

Next, explain the concept of the greatest common divisor (GCD) and least common multiple (LCM) of two or more numbers, and show students how to find the GCD and LCM using manipulatives or base ten blocks.

Guided Practice (25 minutes): Provide students with worksheets containing number theory problems, including prime/composite identification and finding GCD/LCM. Have students work in pairs to solve the problems, and circulate around the room to provide assistance as needed.

Independent Practice (15 minutes): Give students additional problems to work on independently. Encourage them to use the skills they have learned to solve the problems and use the manipulatives when necessary.

Closure (5 minutes): Ask students to share one thing they learned about number theory during the lesson. Review key concepts and remind students that number theory is a branch of mathematics that deals with the properties