Overview: Solving Equations
Solving equations and inequalities account for a large portion of the algebra standards. This training day will focus on difference between two approaches, traditional and function. The traditional approach would view the variable x in an equation like 5x – 7 = 3x + 9 as an unknown. The function approach views the two expressions as functions and the x as the independent variable for two functions in which the solution can be seen graphically as the intersection of two lines.
- IN THIS SESSION TEACHERS:
- Learn the different methods that children use to solve linear equations.
- Learn how to select examples to push kids from less sophisticated methods (i.e. guess and check)
to more algebraic methods.
- Learn a deeper meaning for properties of equations.
Standards Specifically Addressed
- MINNESOTA ACADEMIC STANDARDS
- 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:
- Problem Solving
- Reasoning and Proof