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ALGEBRA I
CHAPTER 1
OBJECTIVES
BE ABLE TO…
1-1 Translate from a word phrase to mathematical expressions using correct
mathematical
symbols
Translate a mathematical expression to word phrases
Simplify exponential expressions
1-2 Simplify a numerical expression using the correct order of operations
Evaluate a variable expression by applying the substitution principal
1-3 Differentiate between an expression and a statement
Determine the truth value of a numerical statement
Find the Solution Set of an open sentence given the Domain
1-4 State, recognize and apply the …
Additive Identity property
Additive Inverse property
Multiplicative Identity property
Multiplicative Inverse property
Multiplicative Property of Zero
3 properties of equality
1-5 State, recognize and apply the Distributive Properties of Multiplication
Simplify numeric & variable expressions using the Distributive Property
1-6 State, recognize and apply the Commutative and Associative properties of addition
and multiplication
1-8
State, recognize and apply the Closure Properties of Addition & Multiplication
Recognize and order the sets of numbers (N, W, J, R,  )
List and describe the above sets
Graph these sets on the number line (or any elements from these sets)
Supplement: Use properties in this chapter to supply steps/reasons in Algebraic Proofs
ALGEBRA I
CHAPTER 2
OBJECTIVES
BE ABLE TO…
2-1
Translate from word sentences to mathematical statements
Translate from mathematical statements to word sentences
2-2
State, recognize and apply the Addition Property of Equality
State, recognize and apply the Subtraction Property of Equality
Transform an equation by applying + of = or - of =
Transform an equation by applying the substitution prop. of equality
Solve word problems involving equations with addition or subtraction
2-3
State, recognize and apply the Multiplication Property of Equality
State, recognize and apply the Division Property of Equality
Transform equations by apply the x of = or  of =
Solve word problems involving equations with multiplication or division
2-4
Solve equations involving more than one transformation
Solve word problems involving equations w/more than 1 transformation
(* Consecutive Integer problems)
2-5
Solve equations with variables in both members
**Note especially equations with  or  as solutions
Solve word problems involving equations w/variables in both members
2-6 & 2-7
Determine if 2 ratios form a proportion
Solve a proportion
Solve word problems involving proportions
Find the Percent of Increase/Decrease
Solve word problems involving % of change
2-8
Solve an equation with more than 1 variable
aka. transform a formula
Use formulas to solve word problems
2-9
Solve motion, mixture, and weighted average problems
ALGEBRA I
CHAPTER 6
OBJECTIVES
BE ABLE TO…
6-1
State, recognize and apply the Addition Property of Inequality
State, recognize and apply the Subtraction Property of Inequality
Translate word sentences to mathematical inequality statements
Transform/solve algebraic inequalities
Solve word problems involving inequalities
6-2
State, recognize and apply the Multiplication Property of Inequality
State, recognize and apply the Division Property of Inequality
Translate word sentences to mathematical inequality statements
Transform/solve algebraic inequalities
Solve word problems involving inequalities
6-3
Transform and solve multi-step inequalities
- including statements w/variables on both sides
Solve word problems involving multi-step inequalities
6-4
Graph compound inequalities
Solve and graph compound inequalities
Solve word problems involving compound inequalities
6-5
Solve and graph solutions of absolute value equations
6-6
Solve and graph solutions of absolute value inequalities
Solve word problems involving absolute value statements
ALGEBRA I
CHAPTER 3
OBJECTIVES
BE ABLE TO…
1-9
Define relation and function
Determine if a set of ordered pairs is a function
Determine the dependent and independent variable in a function
Determine type of function (discrete/continuous)
Interpret graph of function
Determine which graph matches a given scenario
3-1
Express a relation in any of the following forms:
1) table
2) mapping diagram
3) graph
Determine the Domain and Range of a relation given in any form
Find inverse of a relation
3-2
Determine if a relation is a function
Find functional values
3-3
Rewrite an equation in Standard (Linear) Form
Determine A , B , C for a Linear Equation
Determine if a given function is a linear function
Find the x & y intercepts of a given function
Define the zero(s) of a function
Graph a linear equation by using a table
Graph a linear equation by using the x & y intercepts
3-4
Recognize an arithmetic sequence
Find the next terms in an arithmetic sequence
Determine the formula for an arithmetic sequence
3-5
Write an equation for a proportional relationship
Write an equation for a non-proportional relationship
ALGEBRA I
CHAPTER 4
OBJECTIVES
BE ABLE TO…
4-1
Find the rate of change given a table
Find the slope of a line given a graph
Find the slope of a line given 2 points on the line
Discuss the nature of the slope of a line
Complete an ordered pair, given the slope and a point on the line
4-2
Determine if a linear equation is a direct variation
Find the constant of variation given an equation of a direct variation
Find the constant of variation given a graph
Graph a direct variation
Find the missing term in a direct variation
Define family of graphs
Determine the parent graph for a family of graphs (Extension 4-3)
4-3
Transform a linear equation to slope-intercept form
Determine the slope and y-intercept given any linear equation
Write the equation for a line given:
1.) Slope and y-intercept
2.) Graph
Use the slope and y-intercept to analyze informational graph
4-4
Write an equation in slope-intercept form and standard form given:
1.) A point and a slope
2.) 2 points
4-5
Recognize point-slope form
Write an equation of a line in point-slope form
Write an equation of a line in point slope form given:
1.) A point and a slope
2.) 2 points
3.) A point and the nature of the line
4.) Graph
Transform any linear equation from one of the following forms to any other form:
1.) Standard form
2.) Slope-intercept form
3.) Point slope form
4-7
Given two equations determine if the two lines are parallel.
Given two equations determine if the two lines are perpendicular
Write an equation of a line parallel to a given line given a point
Write an equation of a line perpendicular to a given line given a point
6-7
Graph an inequality on a coordinate plane
Determine if the boundary is included in the solution set
Solve word problems involving linear inequalities
ALGEBRA I
CHAPTER 5
OBJECTIVES
BE ABLE TO…
5-1
Determine the nature of solution(s) of a system of linear equations
Find the solution(s) of a system of linear equations by graphing
Define consistent and inconsistent systems
Determine if a consistent system has dependent or independent solutions
5-2
Solve a system of linear equations by substitution
Solve word problems using a system of linear equations
5-3
Solve a system of linear equations by elimination
by using addition or subtraction
Solve word problems using a system of linear equations
5-4
Solve a system of linear equations using multiplication with the elimination method
Solve word problems using a system of linear equations
5-5
Determine the best method for solving a system of linear equations
Apply linear equation solving skills to word problems
6-8
Solve a system of linear inequalities by graphing
Apply graphing method to solving word problems involving system of inequalities
ALGEBRA I
CHAPTER 12
OBJECTIVES
BE ABLE TO…
12-1 Identify various sampling techniques
Recognize a biased sample
12-2 Draw a tree diagram using the given sample space
Count outcomes using a tree diagram
Determine the possible number of outcomes using the Counting Principle
Determine the value of a factorial
12-3 Identify if a situation is a permutation or combination
Evaluate expressions using the definition of a permutation
Evaluate expressions using the definition of a combination
Determine probabilities using permutations
Determine probabilities using combinations
12-4 Find the probability of two independent events
Find the probability of two dependent events
Find the probability of two mutually exclusive events
Find the probability of two mutually inclusive events
12-5 Determine if a distribution is valid
Use random variables to compute probability
Create a probability histogram
Use probability distributions to solve word problems
12-6 Use theoretical and experimental probability to represent and solve problems
involving uncertainty
Perform probability simulations to model situations involving uncertainty
4-6
Given a scatter plot determine the nature of the correlation
Create a scatter plot
Create and draw a line of best fit
Use a line of best fit to make and evaluate predictions
10-4 Find the length of a leg or a hypotenuse of a right triangle
Determine whether a triangle is a right triangle using the Pythagorean Theorem
Pg. 709-715
ALGEBRA I
CHAPTER 7
OBJECTIVES
BE ABLE TO…
7-1
Determine if an expression is a monomial
Multiply Monomials
Simply expressions involving powers of monomials
7-2
Simplify expressions involving the quotient of monomials
Simplify expressions involving the quotient of monomials raised to a power
Simplify expressions containing negative exponents
7-3
Identify whether a polynomial is a monomial, binomial, or trinomial
Find the degree of a monomial
Find the degree of a polynomial
Arrange the terms of a polynomial in the ascending or descending order
7-4
Add polynomials
Subtract polynomials
7-5
Find the product of a monomial and a polynomial
Simplify expressions using the distributive property
Solve equations involving polynomials
7-6
Multiply two binomials by using the Vertical, Distributive, or FOIL method
Multiply two polynomials by using the Distributive Property
7-7
Find the square of a sum or difference of a binomial
Find the product of a sum and a difference of two binomials
11-5 Divide a polynomial by a monomial
Divide a polynomial by a binomial using long division
*** Supplement: Scientific Notation
Write and evaluate a number in scientific notation
Write and evaluate a number in standard notation
ALGEBRA I
CHAPTER 8
OBJECTIVES
BE ABLE TO…
8-1
Find prime factorizations of monomials
Find the greatest common factors of monomials
8-2
Factor polynomials by using the Distributive Property
Factor polynomials by using the Grouping method
Solve quadratic equations of the form ax2 + bx = 0
8-5
Factor binomials that are the differences of two squares
Apply several different factoring techniques
Solve equations involving the differences of two squares
8-6
Determine if a trinomial is a perfect square trinomial
Factor perfect square trinomials
Apply several different factoring techniques
Solve equations involving perfect squares
Solve word problems using various factoring methods
8-3
Factor trinomials of the form x2 ± bx ± c
Solve equations of the form x2 ± bx ± c = 0
8-4
Factor trinomials of the form ax2 ± bx ± c
Determine whether a polynomial is prime
Solve equations of the form ax2 ± bx ± c = 0
Solve word problems using various factoring methods
*** Supplement: ALL Methods of Factoring and Solving ***
ALGEBRA I
CHAPTER 11
OBJECTIVES
BE ABLE TO…
11-2 Identify any restrictions for the domain of a rational expression
Simplify rational expressions
Solve word problems using rational expressions
11-3 Multiply rational expressions
Use dimensional analysis with multiplication
11-4 Divide rational expressions
Use dimensional analysis with division
11-6 Add rational expressions with like denominators
Subtract rational expressions with like denominators
Use addition/subtraction to find perimeter or missing side of a polygon
11-7 Find the LCD of 2 or more rational expressions
Change a rational expression to higher terms
Simplify by adding &/or subtracting rational expressions with unlike denominators
11-8 Change mixed expressions to a single rational expression
Simplify complex rationals
11-9 Identify the restricted values for a given ration equation
Solve a rational equation
Eliminate extraneous solutions for a rational equation
Use solving skills to find solutions to work problems* involving rational equations
* supplement with interest, mixture, motion & work problems
ALGEBRA I
CHAPTER 10
OBJECTIVES
BE ABLE TO…
10-1
Simplify radical expressions using the Product Property of Square Roots
Simplify radical expressions using the Quotient Property of Square Roots
Rationalize a denominator
Use a conjugate to rationalize a denominator
10-2
Add radical expressions with like and unlike radicands
Subtract radical expressions with like and unlike radicands
Multiply radical expressions
Monomial and a binomial
2 binomials
Binomial raised to a power
10-3
Solve radical equations
Solve radical equations with extraneous solutions
Solve word problems using a radical equation
10-4
Find the length of a leg or a hypotenuse of a right triangle
Determine whether a triangle is a right triangle using the Pythagorean Theorem
10-5
Find the distance between two points on the coordinate plane
Find a point that is a given distance from a second point on a plane
Solve word problems using the distance formula
10-6
(OPTIONAL)
Determine whether two triangles are similar
Find the unknown measures of sides two similar triangles
ALGEBRA I
CHAPTER 9
OBJECTIVES
BE ABLE TO…
9-1
Graph a quadratic equation in 2 variables using a table
Determine the nature of the parabola given a quadratic equation
1) open up/down
2) relative width
3) minimum or maximum
Determine the zero(s)
Write the equation for the axis of symmetry of a quadratic graph
Find the vertex point of a quadratic graph
all of the above should be able to be found first from the graph and then from
the quadratic equation without graphing
9-2
Apply the concept of graphing a quadratic in 2 variables to solve a quadratic
equation in one variable
9-3
Solve a quadratic equation by find the square root
Determine if a given polynomial is a Perfect Square Trinomial
Find the missing term in a PST
Solve a quadratic equation by completing the square
9-4
Prove the Quadratic Formula by completing the square
Use the Quadratic Formula to solve a quadratic equation
Find the value of the discriminant
Use the discriminant to determine the nature of the roots of a quadratic equation