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Lesson Video
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Focus Standards
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Learning Focus
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Additional Resources
Lesson 1: Business Cents
Lesson 1: Business Cents
A Solidify Understanding Task
A Solidify Understanding Task
Recalls methods for solving systems of linear equations in two variables, including the use of a table, a graph, and substitution.
NC.M1.A-CED.3, NC.M1.A-REI.10, NC.M1.A-REI.11, NC.M1.A-REI.6
Solve systems of linear equations that represent a context.
What strategies might I use to find the point of intersection of two linear equations?
What does each strategy reveal? What might each strategy conceal?
How do I use the solution to a system of equations to make decisions within a context?
A Develop Understanding Task
Introduces the notion of constraints and systems of inequalities or equations.
NC.M1.A-CED.3
Represent linear constraints.
How can I represent all possible solutions to a situation that is limited in different ways by various resources or constraints?
A Solidify Understanding Task
A Solidify Understanding Task
Introduces how to write and graph linear inequalities in two variables.
NC.M1.A-CED.2, NC.M1.A-REI.12
Graph the solution set for linear inequalities in two variables.
How can I find the complete set of points that satisfy a given constraint?
How do I represent the complete solution set?
A Solidify Understanding Task
A Solidify Understanding Task
Connects standard form and slope-intercept linear equations. Practices changing between the two forms of linear equations.
NC.M1.A-CED.2, NC.M1.A-CED.3, NC.M1.A-CED.4
Graph linear equations in standard form.
Why is it useful to use equivalent forms of linear equations, and how do I convert a linear equation from one form to the other?
A Practice Understanding Task
Practices writing and graphing inequalities to represent constraints.
NC.M1.A-CED.2, NC.M1.A-CED.3, NC.M1.A-REI.12
Represent constraints symbolically and graphically.
What are efficient ways to write the inequalities and sketch the solution sets representing these additional constraints on feeding time and pampering time?
A Solidify Understanding Task
A Solidify Understanding Task
Introduces how to graph the solution set to a linear system of inequalities.
NC.M1.A-CED.3, NC.M1.A-REI.12
Find the solution set for a system of linear inequalities.
How do I represent the solutions that satisfy all of the constraints being placed on a context?
A Practice Understanding Task
Solves systems of linear inequalities and represents their boundaries. Distinguishes between boundary lines that represent less than and less than or equal to (and likewise, greater than and greater than or equal to).
NC.M1.A-CED.3, NC.M1.A-REI.12
Solve systems of linear inequalities.
How do I interpret inequality signs, such as >, <, >, and < when determining what to shade as a solution set to an inequality?
A Develop Understanding Task
Surfaces strategies for solving systems of equations by elimination, using a context.
NC.M1.A-REI.5, NC.M1.A-REI.6
Develop intuitive strategies for solving systems of linear equations in standard form.
How can I use logical reasoning to solve for two unknown values when I am given two pieces of information about those values.
A Solidify Understanding Task
Solves systems of linear equations by elimination.
NC.M1.A-REI.5, NC.M1.A-REI.6
Solve systems of linear equations by eliminating one of the variables.
How do I use the logical reasoning for solving the scenarios in the previous task when the scenarios are represented with linear equations in standard form?
A Practice Understanding Task
Solves systems of equations without contexts. Includes inconsistent and dependent systems.
NC.M1.A-REI.6
Solve systems of equations.
Identify systems that have no solutions or an infinite number of solutions.
Do all systems of linear equations have a solution?
Can a system of linear equations have more than one solution?
What features of a context help me think about the nature of the solution?
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