In this optional lesson, students use the concepts they learned from the unit to write linear equations and to solve systems of equations. Students draw a pattern composed of lines and write equations for the lines. Then they exchange equations with a partner to create systems of equations by choosing 2 equations at a time. They then solve those systems algebraically.
Create a pattern using linear equations.
Solve, without graphing, systems of equations created by peers.
Let’s graph and explore systems that make a pattern.
Identify the effect on the graph of replacing by , , , and for specific values of (both positive and negative); find the value of given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them.