# A.1 - Algebraic Expressions

A.1  The student will

a)  represent verbal quantitative situations algebraically;

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

### 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

2016 VDOE Curriculum Framework - AI.1 Understanding

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

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

·  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: Jul 30, 2019