10 Components
Big Ideas
End of Unit Assessments
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Big Ideas
End of Unit Assessments
Big Idea:

### Systems of Equations (or Inequalities) contain functions that share the same set of variables.

1 week

Evidence of Understanding

• evaluate quantities in a system of equations or inequalities with a situation, table of values, or graph
• describe how quantities from a situation, table or graph map to parts of the equations or inequalities in the system
• analyze how variables of each function rule in the system are related
• Example: Given a situation with nickels and dimes where n + d = 50 and .05n + .10d = 3.50. The first equation shows the number of dimes and nickels is 50 coins total. In the second equation, the total monetary value of the nickels and dimes is \$3.50.  For the system the variables in both equations represent how many of each coin there is.

• solve a system of equations or inequalities using a graph or table of values
• determine whether a given domain value corresponds to a range value that solves both equations or inequalities in the system
• create and compare graphs and tables of values for each equation or inequality in the system
• describe how the graph visually represents values that make each equation true
• identify and justify the common set of solutions from the tables or graph
• use a graphing calculator to determine or verify solutions from a table or graph
• approximate and explain the intersection point(s) for linear-linear, linear-quadratic, linear-polynomial (degree > 2) linear-absolute value, and linear-exponential systems
• compare the solution set for a system of equations and system of inequalities
• distinguish when a system has one, none, many, or infinite solutions and use constraints from the given situation to justify reasoning
• explain the meaning of each shaded portion of a system of inequalities
• interpret domain and range pairs belonging to a system in the context of a situation

Develop conceptual understanding:

system, system of equations, system of inequalities

Supporting terms to communicate:

function, variable, domain, range, independent, dependent, input, output, coefficient, constant, initial value, rate of change

Core Resource

A core resource supports multiple days of instruction.

• Solving Systems
Students will focus on what the quantities mean in systems and how the solutions to systems involving equality and inequality can be represented in multiple different ways.
Resource:
Solving Systems

Students will focus on what the quantities mean in systems and how the solutions to systems involving equality and inequality can be represented in multiple different ways.

All Resources From:
• Unit 4