Overview: Problem Solving and Modeling
Mathematical modeling and problem solving is one way to allow students to bring together their previous and new mathematical knowledge in a manner that is visible to the instructor. Many of the state algebra standards refer to using mathematics to solve realworld, mathematically significant problems.
- IN THIS SESSION TEACHERS:
- Learn strategies to implement Model-Eliciting Activities (MEA) in order to facilitate the development of algebraic thinking within a STEM context.
- Learn to create whole units of lessons around problem solving activities for motivation, formative assessment and summative assessment.
Standards Specifically Addressed
- MINNESOTA ACADEMIC STANDARDS
- Grade 6: Recognize and represent relationships between varying quantities; translate from one representation to another;
use patterns, tables, graphs and rules to solve real-world and mathematical problems.
- Grade 6: Understand and interpret equations and inequalities involving variables and positive rational numbers. Use
equations and inequalities to represent real-world and mathematical problems; use the idea of maintaining equality to
solve equations. Interpret solutions in the original context.
- Grade 7: Understand the concept of proportionality in real-world and mathematical situations, and distinguish between
proportional and other relationships.
- Grade 7: Recognize proportional relationships in real-world and mathematical situations; represent these and other
relationships with tables, verbal descriptions, symbols and graphs; solve problems involving proportional relationships
and explain results in the original context
- Grade 7: Represent real-world and mathematical situations using equations with variables. Solve equations symbolically,
using the properties of equality. Also solve equations graphically and numerically. Interpret solutions in the original context.
- Grade 8: Represent real-world and mathematical situations using equations and inequalities involving linear expressions.
Solve equations and inequalities symbolically and graphically. Interpret solutions in the original context.
NCTM PROCESS STANDARDS:
- Reasoning and Proof