Download Syllabus for Algebra IB File

Algebra I B Syllabus
2012-2013
Unit 1 – Function and Relations
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Objective 1– Define relation, function, domain, and range

Objective 2– Be able to determine if a relation is a function given ordered
pairs, a graph, or a table

Objective 3– Be able to identify the domain and range of a relation given
ordered pairs, a graph, or a table

Objective 4– Analyze a set of data for the existence of a pattern by
completing a table or a sequence

Objective 5– Be able to express a pattern as an equation given a sequence or
table
Unit 2 – Graphing Linear Functions

Objective 1 – Define linear equation, slope, x-intercept, y-intercept, slopeintercept form, and standard form

Objective 2 – Identify the x-intercept and y-intercept

Objective 3 – Determine the slope of a line given a graph, given two points,
and given an equation

Objective 4 – Identify, describe, and/or use constant rates of change

Objective 5 – Graph an equation in slope-intercept form

Objective 6 – Graph an equation in standard form
Unit 3 – Writing an Equation of a Line

Objective 1 – Define parallel, perpendicular, reciprocal, and opposite number

Objective 2 – Convert between slope-intercept form, standard form, and other
forms of a linear equation

Objective 3 – Write or identify a linear equation given a graph

Objective 4 – Write or identify a linear equation given the slope and point on
the line (using point slope, then converting)
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Objective 5 – Write or identify a linear equation given two points on the line

Objective 6 – Write the equations of parallel and perpendicular lines
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Objective 7 – Given a scatter plot, write the equation of a line of best fit
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Objective 8 – Model a situation with a linear equation
Unit 4 – Inequalities
 Objective 1 – Identify inequality symbols
 Objective 2 – Graph an inequality on a number line
 Objective 3 – Solve linear inequalities and graph their solution
 Objective 4 – Solve compound linear inequalities and graph their solution
 Objective 5 – Model situations using linear inequalities
Unit 5 – Absolute Value
 Objective 1 – Define and interpret absolute value
 Objective 2 – Evaluate absolute value expressions
 Objective 3 – Solve absolute value equations
 Objective 4 – Solve absolute value inequalities and graph their solution
Unit 6 – Systems of Equations
 Objective 1 – Determine whether a point is a solution to a system of equations
 Objective 2 – Solve a system of equations by graphing (including infinite
solutions, no solutions, and one solution)
 Objective 3 – Solve a system of equations using the substitution method
 Objective 4 – Solve a system of equations using the elimination method
 Objective 5 – Write, solve, and interpret systems of equations in the context of
problem situations
Unit 7 – Systems of Inequalities
 Objective 1 – Graph the solution to a linear inequality
 Objective 2 – Solve a system of inequalities by graphing
 Objective 3 – Determine whether a point is a solution to a system of inequalities
 Objective 4 – Write, solve, and interpret systems of inequalities in the context of
problem situations
Unit 8 – Exponents
 Objective 1 – Simplify exponents using the Product-of-Powers Property
 Objective 2 – Simplify exponents using the Power-of-a-Power Property
 Objective 3 – Simplify exponents using the Power-of-a-Product Property
 Objective 4 - Simplify exponents using the Quotient-of-Powers Property
 Objective 5 - Simplify exponents using the Power-of-a-Quotient Property
 Objective 6 – Simplify exponents using the Zero Exponent Property
 Objective 7 – Simplify exponents using the Negative Exponent Property
 Objective 8 – Simplify exponents using multiple properties
Unit 9 – Radical Expressions
 Objective 1 – Estimate a radical without using a calculator
 Objective 2 – Simplify a radical expression (without variables)
 Objective 3 – Add and/or Subtract radicals (without having to simplify first)
 Objective 4 – Multiply radicals (without variables)
 Objective 5 – Simplify radical expression by rationalizing the denominator
Unit 10 – Adding/Subtracting/Multiplying Polynomials
 Objective 1 – Classify a polynomial by degree and/or number of terms
 Objective 2 – Add polynomial expressions and express answer in simplest form
 Objective 3 – Subtract polynomial expressions and express answer in simplest
form
 Objective 4 – Multiply polynomial expression by a monomial and express answer
in simplest form
 Objective 5 – Multiply two binomials and express answer in simplest form
 Objective 6 – Multiply binomial by a trinomial and express answer in simplest
form
Unit 11 – Factoring Polynomials
 Objective 1 – Find the GCF of two monomials
 Objective 2 – Factor a polynomial using the GCF
 Objective 3 – Factor a difference of squares
 Objective 4 – Factor a polynomial in the form x2 + bx + c
 Objective 5 – Factor a polynomial in the form ax2 + bx + c, where a > 1 and a is
prime
Unit 12 – Factoring Polynomials
 Objective 1 – Factor a polynomial completely using multiple methods
 Objective 2 – Solve an equation by factoring
 Objective 3 – Solve word problems using factoring
Unit 13 – Rational Expressions
 Objective 1 – Simplify a rational algebraic expression
 Objective 2 – Find the LCM of a set of monomials
 Objective 3 – Add/Subtract Rational expressions with monomial denominators
 Objective 4 – Multiply/Divide rational expressions
 Objective 5 – Solving equations with rational expressions