Solving Simultaneous Linear Equations
For the identified standard address each of the following prompts.
Analyze and solve pairs of simultaneous linear equations.
Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. (8.EE.8)
Solving Simultaneous Linear Equations
Student-Friendly Format
How might you display the standard for your students?
The student will: demonstrate an understanding that solutions of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
Appropriate Parts
Knowledge and Skill Objectives
How you might explain the standard, and its parts, to a colleague?
Remember to identify each objective as either a knowledge objective or a skill objective, and to present the objectives in the appropriate teaching sequence if the sequence is of consequence. You must justify your sequence decision.
Solving Simultaneous Linear Equations
Analyze the shape of the graph of a linear equation. (Knowledge)
Use the method of elimination to solve a system of equations (Skill)
Predict that the graph of a linear equation is a line and select points on and off the line to verify their claim. (Skill)
Sequence Justification
This sequence begins with simple concept knowledge of looking at systems graph to analyze what the shape of a linear graph should look like. They will begin describing what these graphs look like for linear equations. After understanding the shape of a linear graph, they will begin selecting linear equations to solve by the process of linear equations. Once these systems are solved students then will begin to predict if the graph of a linear equation is a line and selecting points both on and off that line to argue their claim.
Prerequisite Knowledge and Skills
How might you explain prerequisite objectives to a colleague?
Remember to identify each prerequisite objective as either a knowledge objective or a skill objective.
Explain the concepts of the distributive property. (Knowledge)
Explain the concepts to solving a linear equation in one variable with one solution. (Knowledge)
Demonstrate how to solve linear equations in one variable with one solution. (Skill). Use APA referencing style.