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Safely Rest

How should Arlington National Cemetery plan for its future?

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Safely Rest

How should Arlington National Cemetery plan for its future?

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How should Arlington National Cemetery plan for its future? Established in 1864, Arlington National Cemetery is the final resting place for thousands of American soldiers. Unfortunately, the Cemetery is running out of room, and there’s no simple solution for what it should do.

In this lesson, students write and solve linear equations to estimate when Arlington National Cemetery will reach capacity, evaluate various proposals to prolong its lifespan, and debate the best way for Arlington to honor soldiers and their families.

REAL WORLD TAKEAWAYS

  • Arlington National Cemetery is an important and historic burial ground for members of the U.S. Military, and it is expected to run out of space within the next 25 years unless more plots are created or eligibility is restricted.

MATH OBJECTIVES

  • Interpret non-linear graphs
  • Create tables, equations, and graphs to model linear relationships in the real-world
  • Solve linear equations

Appropriate most times as students are developing conceptual understanding.
Lesson gauge medium
Grade 8
Solving Linear Equations
Lesson gauge medium
Grade 8
Solving Linear Equations
Content Standards 8.EE.7 Solve linear equations in one variable. (a) Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers). (b) Solve linear equations with rational number coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms. 8.F.2 Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change. 8.F.4 Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values. 8.F.5 Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.
Mathematical Practices MP.2 Reason abstractly and quantitatively. MP.3 Construct viable arguments and critique the reasoning of others. MP.4 Model with mathematics. MP.5 Use appropriate tools strategically.

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