This problem solving Formative Assessment Lesson is designed to be part of an instructional unit. The results of this task should be used to inform the instruction that will take place for the remainder of the unit.
This problem solving lesson is intended to help you assess how well students are able to identify patterns (both linear and exponential) in a realistic context: the number of beads of different colors that are hidden behind the cloud. In particular, this problem solving lesson aims to identify and help students who have difficulties with:
• Choosing an appropriate, systematic way to collect and organize data.
• Examining the data and looking for patterns
• Describing and explaining findings clearly and effectively.
Common Core State Standards
This lesson involves a range of mathematical practices from the standards, with emphasis on:
1. Make sense of problems and persevere in solving them.
3. Construct viable arguments and critique the reasoning of others.
7. Look for and make use of structure.
8. Look for and make use of repeated reasoning.
This lesson asks students to select and apply mathematical content from across the grades, including the content standards:
4-OA: Generate and analyze patterns.
5-OA: Analyze patterns and relationships
6-EE: Represent and analyze quantitative relationships between dependent and independent variables.
8-F: Use functions to model relationships between quantities. F-LE: Linear, Quadratic, and Exponential Models