When Lines Collide
Systems of Equations
LEARNING OBJECTIVES:

Students will:

  • Learn how to define variables and how to write and solve algebraic equations from word problems. 
  • Comprehend how to use substitution as a method to solve systems of linear equations. 
  • Explore various graphs to solve linear systems of equations.

STANDARDS:

National Council of Teachers of Mathematics (NCTM) Standards
6-8
Algebra
6-8.5.0 Represent and analyze mathematical situations and structures using algebraic symbols.
6-8.5.1. develop an initial conceptual understanding of different uses of variables.
6-8.5.3. use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships.
6-8.6.0 Use mathematical models to represent and understand quantitative relationships.
6-8.6.1. model and solve contextualized problems using various representations, such as graphs, tables, and equations.

California Content Standards
Mathematics
Grades Eight through Twelve
Algebra I
5.0. Students solve multistep problems, including word problems, involving linear equations and linear inequalities in one variable and provide justification for each step.
9.0. Students solve a system of two linear equations in two variables algebraically and are able to interpret the answer graphically. Students are able to solve a system of two linear inequalities in two variables and to sketch the solution sets.