2016 Revised Alabama Course of Study Mathematics.pdf

# Reason about and solve one variable equations and

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Reason about and solve one-variable equations and inequalities. 16. Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. [6-EE5] 17. Use variables to represent numbers, and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number or, depending on the purpose at hand, any number in a specified set. [6-EE6] 18. Solve real-world and mathematical problems by writing and solving equations of the form x + p = q and px = q for cases in which p , q , and x are all nonnegative rational numbers. [6-EE7] 19. Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams. [6-EE8] Represent and analyze quantitative relationships between dependent and independent variables. 20. Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. [6-EE9] Example: In a problem involving motion at constant speed, list and graph ordered pairs of distances and times, and write the equation d = 65 t to represent the relationship between distance and time. Geometry Solve real-world and mathematical problems involving area, surface area, and volume. 21. Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. [6-G1]

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6 th 2016 Revised Alabama Course of Study: Mathematics 52 22. Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas V = lwh and V = Bh to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real- world and mathematical problems. [6-G2] 23. Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate.
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