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Transcript
MATH
THS – Algebra IA – Unit 6
Functions
Solve Systems
of Equations
Systems of
Linear
Equations and
Inequalities
Graph solutions to
linear inequalities
Vocabulary
Explicit
Expression
Systems of Linear Equations
Solution of a System of Linear
Equations
No solution
Infinitely many solutions
Substitution method
Elimination method
Linear Inequality
Solutions of a linear inequality
Systems of linear inequalities
Solutions of systems of linear
inequalities
Essential Understandings
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Systems of linear equations exactly and approximately (e.g. with graphs) focusing on pairs of linear equations in two variables.
The solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case a strict inequality)
The solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.
Why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) =
g(x).
The solutions approximately, e.g., using technology to graph the functions
Units as a way to understand problems and to guide the solution of multi-step problems
Units consistently in formulas
The scale and the origin in graphs and data displays.
That the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane
A function that describes a relationship between two quantities
An explicit expression
Equations in two or more variables to represent relationships between quantities
Equations on coordinate axes with labels and scales.
Linear functions and show intercepts
The parameters in a linear function in terms of its context