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.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
- 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.
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).
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.1a1 Translate 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.1a2 Represent 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.1b1 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.
verbal quantitative situations, algebraic
expression, replacement set, rational number, expression, evaluate, absolute
value, square root, cube root, modeling, numerical value, variable