Algebra+and+Functions

1.0 Students write verbal expressions and sentences as algebraic expressions and equations; they evaluate algebraic expressions, solve simple linear equations, and graph and interpret their results:
 * ** 1.1 Write and solve one-step linear equations in one variable. ([|Single Variable Equations]) **
 *  1.2 Write and evaluate an algebraic expression for a given situation, using up to three variables. ([|Algebraic Word Problems], [|Simplifying Algebraic Expressions], [|Simplifying Algebraic Expressions 2], [|Variable Substitution 2])
 *  1.3 Apply algebraic order of operations and the commutative, associative, and distributive properties to evaluate expressions; and justify each step in the process. ([|Order Of Operations], [|Variable Substitution 2])
 *  1.4 Solve problems manually by using the correct order of operations or by using a scientific calculator. ([|Order Of Operations])

2.0 Students analyze and use tables, graphs, and rules to solve problems involving rates and proportions:
 *  2.1 Convert one unit of measurement to another (e.g., from feet to miles, from centimeters to inches). ([|Distance Conversion])
 *  2.2 Demonstrate an understanding that rate is a measure of one quantity per unit value of another quantity. ([|Distance, Rate, and Time], [|Train Problems])
 *  2.3 Solve problems involving rates, average speed, distance, and time. ([|Distance, Rate, and Time], [|Train Problems])

3.0 Students investigate geometric patterns and describe them algebraically:
 *  3.1 Use variables in expressions describing geometric quantities (e.g., P = 2w + 2l, A = 1/2bh, C = pd - the formulas for the perimeter of a rectangle, the area of a triangle, and the circumference of a circle, respectively). ([|Triangle Area 2])
 *  3.2 Express in symbolic form simple relationships arising from geometry.