Unit 6
Real-life phenomena explored through systems of linear equations
IN THIS UNIT STUDENTS WILL BE EXPECTED TO:
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LEARNING OBJECTIVES
8.FGR.7.1 Interpret and solve relevant mathematical problems leading to two linear equations in two variables.
8.FGR.7.2 Show and explain that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because the points of intersection satisfy both equations simultaneously.
8.FGR.7.3 Approximate solutions of two linear equations in two variables by graphing the equations and solving simple cases by inspection.
8.FGR.7.4 Analyze and solve systems of two linear equations in two variables algebraically to find exact solutions.
8.FGR.7.5 Create and compare the equations of two lines that are either parallel to each other, perpendicular to each other, or neither parallel nor perpendicular.
8.FGR.7.2 Show and explain that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because the points of intersection satisfy both equations simultaneously.
8.FGR.7.3 Approximate solutions of two linear equations in two variables by graphing the equations and solving simple cases by inspection.
8.FGR.7.4 Analyze and solve systems of two linear equations in two variables algebraically to find exact solutions.
8.FGR.7.5 Create and compare the equations of two lines that are either parallel to each other, perpendicular to each other, or neither parallel nor perpendicular.
LEARNING TARGET
- I can solve and interpret the system of equations in two variables involving real-world situations.
- I can explain and interpret the system of equations in two variables graphically, including no solutions and infinitely many solutions.
- I can solve the equation system in two variables graphically through digital graphing tools.
- I can analyze and solve systems of equations using substitution and elimination methods to validate realistic situations and graphical approximations.
- I can identify and compare equations of two lines as parallel, perpendicular or neither parallel nor perpendicular to each other.