elliottwcms - CA Unit 2

Coordinate Algebra Unit 2: Reasoning with Equations and Inequalities

Review Notes and Problems from Cherokee County

CCGPS Unit 2 Reasoning with Equations and Inequalities.pdf

Ga DOE Frameworks - Student Edition

CCGPS_Math_9-12_AccelCoorAlgebraAnalyticGeom_Unit2SE.pdf

GA Virtual Learning Units and Lessons

http://www.gavirtuallearning.org/Resources/SharedCCGPSAlgebra1.aspx

In this unit students will:

• solve linear equations in one variable.
• solve linear inequalities in one variable.
• solve a system of two equations in two variables by using multiplication and addition.
• solve a system of two equations in two variables graphically
• graph a linear inequality in two variables.
• graph a system of two linear inequalities in two variables.

KEY STANDARDS

Understand solving equations as a process of reasoning and explain the reasoning
- MCC9‐12.A.REI.1 Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Solve equations and inequalities in one variable
- MCC9‐12.A.REI.3 Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Solve systems of equations
- MCC9‐12.A.REI.5 Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.
- MCC9‐12.A.REI.6 Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Represent and solve equations and inequalities graphically
- MCC9‐12.A.REI.12 Graph the solutions to a linear inequality in two variables as a half‐plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half‐planes.

ENDURING UNDERSTANDINGS

• Solve linear equations and inequalities is one variable.
• Graph linear equations and inequalities in two variables.
• Solve systems of linear equations in two variables exactly and approximately.
• Create linear equations and inequalities in one variable and use them in a contextual situation to solve problems.
• Create equations in two or more variables to represent relationships between quantities.
• Graph equations in two variables on a coordinate plane and label the axes and scales.
• Write and use a system of equations and/or inequalities to solve real world problems.