#### Math - 2017-18

# 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.1The student willa)

representverbal quantitative situations algebraically;b)

evaluatealgebraic expressions for given replacement values of the variables.

**Bloom's Level:** Evaluate

*Adopted: 2009*

### 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.1_{1} **Translate**
verbal quantitative situations into algebraic expressions and vice versa.

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

A.1_{2} **Model**
real-world situations w/ algebraic expressions in a variety of representations
(concrete, pictorial, symbolic, verbal).

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

A.1_{3} **Evaluate**
algebraic expressions for a given replacement set to include rational numbers.

A.1_{4} **Evaluate**
expressions that contain absolute value, square roots, and cube roots.

·
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: Oct 27, 2017*