A.1 and *A.1 - Algebraic Expressions

A.1    The student will represent verbal quantitative situations algebraically and evaluate these expressions for given replacement values of the variables.

A.1  The student will

a)  represent verbal quantitative situations algebraically;

b)  evaluate algebraic expressions for given replacement values of the variables.

Bloom's Level:  Evaluate

BIG IDEAS

• I can determine the total cost of a family trip to the movies when the number of people and the cost of tickets varies for each age group, and I can figure my total score on a video game where different tasks give different points.
• I will always get the same result as everyone else when evaluating an expression by following the set of rules called order of operations.

UNDERSTANDING THE STANDARD

• Algebra is a tool for reasoning about quantitative situations so that relationships become apparent.
• Algebra is a tool for describing and representing patterns and relationships.
• Mathematical modeling involves creating algebraic representations of quantitative real-world situations.
• The numerical value of an expression is dependent upon the values of the replacement set for the variables.
• There are a variety of ways to compute the value of a numerical expression and evaluate an algebraic expression.
• The operations and the magnitude of the numbers in an expression impact the choice of an appropriate computational technique.
• An appropriate computational technique could be mental mathematics, calculator, or paper and pencil.

·  Mathematical modeling involves creating algebraic representations of quantitative practical situations.

·  The numerical value of an expression depends upon the values of the replacement set for the variables.

·  There are a variety of ways to compute the value of a numerical expression and evaluate an algebraic expression using order of operations.

·  The operations and the magnitude of the numbers in an expression affect the choice of an appropriate computational technique
(e.g., mental mathematics, calculator, paper and pencil).

ESSENTIALS

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

A.11  Translate verbal quantitative situations into algebraic expressions and vice versa.

·  A.1aTranslate between verbal quantitative situations and algebraic expressions and equations.

A.12  Model real-world situations w/ algebraic expressions in a variety of representations (concrete, pictorial, symbolic, verbal).

·  A.1aRepresent practical situations with algebraic expressions in a variety of representations (e.g., concrete, pictorial, symbolic, verbal).

A.13  Evaluate algebraic expressions for a given replacement set to include rational numbers.

A.14  Evaluate expressions that contain absolute value, square roots, and cube roots.

·  A.1bEvaluate algebraic expressions, using the order of operations, which include absolute value, square roots, and cube roots for given replacement values to include rational numbers, without rationalizing the denominator.

KEY VOCABULARY

verbal quantitative situations, algebraic expression, replacement set, rational number, expression, evaluate, absolute value, square root, cube root, modeling, numerical value, variable

Updated: Oct 27, 2017