Algebra I
1st Grading Period (15 days)
Power Objective:
Academic Vocabulary:
 Solve linear equations and inequalities. (P.O.#1)
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Solve Linear Equations and Inequalities
Enduring Understandings:
Essential Questions:
 Each representation has the same solution.
 Can equations that appear to be different be
equivalent?
 How can you solve equations?
 What kinds of relationships can proportions represent?
 How do you represent relationships between
quantities that appear that are not equal?
 Can inequalities that appear to be different be
equivalent?
 How can you solve inequalities?
 Properties of numbers and equality can transform an
equation into equivalent simpler equations. This
process is used to find solutions.
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Proportionality involves a relationship in which the
ratio of two quantities remains constant as the
corresponding values of the quantities change. In a
proportional relationship there are an infinite
number of ratios equality to this constant ratio.
Enduring Understandings:
 Quantities are used to form expressions, equations, and inequalities. An Expression refers to a quantity but does not
make a statement about it. An equation (or an inequality) is a statement about the quantities in mentions. Using
variables in place of numbers in equations (or inequalities) allows the statement or relationships among numbers
that are unknown or unspecified.
 A single quantity may be represented by many different expressions. The facts about a quantity may be expressed by
many different equations (or inequalities).
 Solving an equation is the process of rewriting the equation to make what it says about its variables(s) as simple as
possible. Properties of numbers and equality can be used to transform an equation (or inequality) into equivalent,
simpler equations (or inequalities) in order to find solutions. Useful information about equations and inequalities
(including solutions) can be found by analyzing graphs or tables. The numbers and types of solutions vary
predictably, based on the type of equation.
Academic Vocabulary:
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Addition Property of Equality
conversion factor
cross products
cross Products property
Division property of Equality
equivalent equations
formula
identity
inverse operations
Subtraction property of Equality
complement of a set
compound inequality
equivalent inequalities
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isolate
literal equation
Multiplication Property of Equality
percent error
percent change
percent decrease
percent increase
proportion
rate
ratio relative area
scale
scale drawing
Scale model
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unit analysis
unit rate
disjoint sets
empty set
intersection
interval notation
roster form
set-builder notation
solution of an inequality
union universal set