Curriculum Standards
This lesson has students solving two or three different, realistic scenarios where the objective is to save as much money as possible. They will have to determine which phone plan might be better for them as well as which truck rental company would be better for them? Both of these scenarios are able to be expressed with a system of equations.
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Geometry and Measurement
4.2.12.C.1 - Use coordinate geometry to represent and verify properties of lines.
Patterns and Algebra
4.3.8.A.1 - Recognize, describe, extend, and create patterns involving whole numbers, rational numbers, and integers.
4.3.8.B.1 - Graph functions, and understand and describe their general behavior.
4.3.8.C.1 - Analyze functional relationships to explain how a change in one quantity can result in a change in another, using pictures, graphs, charts, and equations.
4.3.8.C.2 - Use patterns, relations, symbolic algebra, and linear functions to model situations.
4.3.12.B.1 - Understand relations and functions and select, convert flexibly among, and use various representations for them, including equations or inequalities, tables, and graphs.
4.3.12.B.2 - Analyze and explain the general properties and behavior of functions of one variable, using appropriate graphing technologies.
4.3.12.C.1 - Use functions to model real-world phenomena and solve problems that involve varying quantities.
4.3.12.C.2 - Analyze and describe how a change in an independent variable leads to change in a dependent one.
4.3.12.D.2 - Select and use appropriate methods to solve equations and inequalities.
4.3.12.D.3 - Judge the meaning, utility, and reasonableness of the results of symbol manipulations, including those carried out by technology.
Data Analysis, Probability, and Discrete
Mathematics
4.4.12.A.2 - Evaluate the use of data in real-world contexts.
Mathematical Processes
4.5.A.2 - Solve problems that arise in mathematics and in other contexts (cf. workplace readiness standard 8.3).
4.5.B.2 - Communicate their mathematical thinking coherently and clearly to peers, teachers, and others, both orally and in writing.
4.5.C.3 - Recognize that mathematics is used in a variety of contexts outside of mathematics.
4.5. C.4 - Apply mathematics in practical situations and in other disciplines.
4.5.D.2 - Use reasoning to support their mathematical conclusions and problem solutions.
4.5.E.1 - Create and use representations to organize, record, and communicate mathematical ideas.
4.5.E.3 - Use representations to model and interpret physical, social, and mathematical phenomena.
4.5.F.1 - Use technology to gather, analyze, and communicate mathematical information.
Along with these standards the students must go through critical thinking, creative problem-solving, and comparison throughout many of the steps in the lesson.
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