#### Math - 2018-19

# A.1 - Algebraic Expressions

A.1The student willa)

representverbal quantitative situations algebraically;b)

evaluatealgebraic expressions for given replacement values of the variables.

*Adopted: 2016*

### 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.1a_{1 }**Translate**
between verbal quantitative situations and algebraic expressions and equations.

·
A.1a_{2 }**Represent**
practical situations with algebraic expressions in a variety of representations
(e.g., concrete, pictorial, symbolic, verbal).

·
A.1b_{1 }**Evaluate**
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: Aug 23, 2018*