Free 10th Grade Illustrating Permutation Of Objects Lesson Plan (Math)

Topic: Illustrating Permutation of Objects

Objectives & Outcomes

• Students will be able to illustrate the concept of permutation of objects by creating a visual representation of objects being rearranged in different combinations.

Materials

• Various objects (e.g. cards, coins, buttons)
• A large piece of paper for each student
• Markers or colored pencils

Warm-up

• Have students divide into small groups and place a certain number of objects on the floor. Encourage them to rearrange the objects in different combinations, taking turns to arrange the objects in a different order.
• After a few rounds, have each group share their best arrangement and explain their reasoning.

Direct Instruction

• Introduce the concept of permutation, explaining that it refers to the arrangement of objects or items in a particular order.
• Using the example of the objects on the floor, explain how the arrangement of the objects can be permuted in different ways, such as ABC, BCA, CAB, and ACB.
• Introduce the concept of factorials, explaining that they are used to calculate the number of possible permutations of a given set of objects.
• Using the example of the objects on the floor, explain how to calculate the factorial of a number (1 × 2 × 3 × 4 = 24).
• Have students work in small groups to calculate the factorial of a given number using the counting-up method.

Guided Practice

• Have students work in small groups to arrange the objects on the floor in different permutations, using the counting-up method to calculate the factorials of the numbers used.
• Have students share their permutations and factorials with the class, checking for accuracy.

Independent Practice

• Have students choose three objects to permute, using the counting-up method to calculate the factorials of the numbers used.
• Have students create a visual representation of their permutation, such as a drawing or model.
• Have students share their permutations and permutation representations with the class, encouraging discussion about the various permutations that were created.

Closure

• Review the concept of permutation and the counting-up method for calculating factorials.
• Have students share any new insights or understandings they gained from the permutations they created.

Assessment

• Observe students during independent practice and provide feedback on their use of the counting-up method and their understanding of permutation and factorial.
• Collect and grade students' permutation illustrations for accuracy and use of the counting-up method.