Learning Activity

Recursive or Explicit, Why Not Both? Exit Ticket

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This learning activity is an assessment activity that uses an exit ticket to ask students to write both a recursive and explicit formula for a simple application problem.

Mathematics (2019) Grade(s): 09-12 - Applications of Finite Mathematics

MA19.FM.11

Find patterns in application problems involving series and sequences, and develop recursive and explicit formulas as models to understand and describe sequential change.

Unpacked Content

UP:MA19.FM.11

Vocabulary

  • Difference equation
  • Recursive process
  • Recursive formula
  • Sequences
  • Series

Knowledge

Students know:

  • How to use inductive counting methods such as lists.

Skills

Students are able to:

  • Use inductive counting methods to collect data for conjecturing.
  • Find recursive formulas from collected data.
  • Develop explicit formulas.

Body

  1. Find patterns in application problems involving series and sequences, and develop recursive and explicit formulas as models to understand and describe sequential change.
    Examples: fractals, population growth

Phase

After/Explain/Elaborate
Learning Objectives

Learning Objectives

The student will demonstrate their understanding of writing explicit and recursive formulas from an application. 

Activity Details

    1. Direct each student to the Recursive or Explicit, Why Not Both? Exit Ticket.
    2. Instruct the students to answer the prompts provided in the activity.
    3. Circulate while students are working and assist with any questions or problems they might encounter.
    4. The teacher should review the responses of the students and correct any misconceptions.
    5. If the majority of students struggle with a common topic, pause the activity, and address the misconception.
Assessment Strategies

Assessment Strategies

Teachers can collect the exit ticket digitally. Based on responses,  misconceptions or learning gaps can be addressed.

Variation Tips

A PDF version of the exit ticket can be printed from the google slide and a paper version can be printed and distributed to students.

Related Learning Activities

Learning Activity (Before)

Engaging Square Patterns

Learning Activity (During)

Recursive and Explicit Equation Card Sort

Learning Activity (After)

Recursive or Explicit, Why Not Both? Exit Ticket

Background and Preparation

Background / Preparation

Prior to the lesson, the teacher should assign the activity through their desired learning platform.

Teachers should anticipate misconceptions that may arise.

Digital Tools / Resources

Recursive or Explicit, Why Not Both? Exit Ticket
https://docs.google.com/presentation/d/1j5qIv0U-V1uEfS6Jxqu10ColB1DsLYy3lx-kyzx…

Approved Date

Owner (Author)

mrswhite
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