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PRENTICE HALL
ALGEBRA I
BASIC MATH
Ordering positive and negative fractions
Using the order of operations with grouping symbols
Finding absolute value I
Finding absolute value II
Graphing points on the coordinate plane
NUMBER SETS
Classifying Numbers
Representing situations with integers
Adding integers using a number line
Adding integers using rules I
Adding integers using rules II
Subtracting integers I
Subtracting integers II
Subtracting rational numbers
Multiplying integers
Dividing integers to solve problems
Multiplying rational numbers
Dividing real numbers
PROPERTIES OF NUMBERS
Identifying properties of real numbers
Using properties of real numbers
Using properties of addition
Using properties of multiplication
Using the distributive property
LAWS OF EXPONENTS (EXPONENT RULES)
Simplifying exponential expressions
Evaluating exponential expressions
Multiplying powers with the same base
Multiplying powers in an algebraic expression
Multiplying numbers in scientific notation
Simplifying a power raised to a power
Raising a product to a power
Raising a number in scientific notation to a power
RELATIONS AND FUNCTIONS
Identifying independent and dependent variables
Determining a reasonable domain and range for a situation
Writing a rule from a table
Writing an equation for a trend line
Modeling real-world data using linear models
Using two data points to write a linear model
Writing a function from a table
Writing a function from words
Graphing a linear equation using tables
Writing an equation in point-slope form using a point and the slope
Writing an equation in point-slope form from a graph
Graphing linear equations using intercepts to solve real-world situations
Writing equations of perpendicular and parallel lines
Identifying points on a parabola
Fitting a quadratic function to three points
Using quadratic models
Using a direct variation to describe a situation
Using a proportion as an equation of direct variation
Using a proportion to solve a direct variation problem
Writing the equation of an inverse variation
Solving inverse variations
Determining direct or inverse variation
Determining whether real-world situations involve direct or inverse variation
Using inverse variations
Using joint and other variations
GRAPHS AND LINEAR EQUATIONS
Making a scatter plot
Using scatter plots and trend lines to make predictions
Graphing a linear equation using tables
Finding the x- and y-intercepts from an equation in standard form
Graphing linear equations using intercepts
Finding slope using rise/run
Finding the rate of change using a table
Finding the rate of change using a graph
Finding slope using coordinates
Finding the slope of horizontal or vertical lines
Graphing a linear equation using slope-intercept form
Writing an equation given the slope/y-intercept
Writing an equation from a graph
Graphing linear equations using point-slope form
Writing an equation in point-slope form using a point and the slope
Writing an equation in point-slope form from a graph
Writing a linear equation using a table
Determining whether a relationship shown by data is linear
Determining whether lines are parallel
Writing equations of parallel lines
Determining whether lines are perpendicular
Writing equations of perpendicular lines
ALGEBRAIC EXPRESSIONS
Simplifying algebraic expressions using the distributive property
Evaluating algebraic expressions with exponents
Simplifying algebraic expressions with exponents using the distributive property
Evaluating algebraic expressions with one variable
Evaluating algebraic expressions with more than one variable
Evaluating algebraic expressions with rational numbers
Writing algebraic expressions from word phrases
Writing algebraic expressions from word problems
SOLVING EQUATIONS
Solving an absolute value equation
Adding rational numbers to solve problems
Checking solutions
Solving a two-step equation
Writing (and solving) two-step equations
Solving multi-step equations using distributive property
Solving multi-step equations by combining like terms
Solving equations with variables on both sides
Solving one-step fraction equations by multiplying
SYSTEMS OF EQUATIONS
Solving and interpreting a system of linear equations by graphing
Interpreting solutions of systems of linear equations
Analyzing special types of linear systems
Solving linear systems using substitution
Solving linear systems for real-world situations using substitution
Solving linear systems using elimination, adding
Solving linear systems using elimination, multiplying first
Writing and solving linear systems
Finding a break even point
Modeling real-world situations using linear systems
INEQUALITIES
Solving an absolute value inequality
Graphing solutions to one variable inequalities
Analyzing and writing inequalities from a graph
Writing an inequality from a graph
Solving one-step whole number inequalities by adding
Solving one-step whole number inequalities by subtracting
Solving one-step whole number inequalities by multiplying
Solving one-step whole number inequalities by dividing
Solving two-step inequalities
Solving multi-step inequalities using the distributive property
Solving multi-step inequalities with variables on both sides
SYSTEMS OF INEQUATIONS
Graphing systems of linear inequalities
Writing a system of linear inequalities
Using a system of linear inequalities
Writing and solving a compound inequality containing
and
Writing and solving a compound inequality containing
or
Graphing a vertical translation of an absolute value equation
Writing an equation for the vertical translation of an absolute value equation
Graphing a horizontal translation of an absolute value equation
Writing an equation for the horizontal translation of an absolute value equation
Graphing linear inequalities
Using linear inequalities to solve problems
Graphing absolute value inequalities
Writing absolute value inequalities
Solving systems of inequalities using tables
Solving systems of inequalities using graphs
Solving a linear absolute value system
RATIONAL EXPRESSIONS AND EQUATIONS
Simplifying a rational expression
Simplifying a rational expression by recognizing opposite factors
Multiplying rational expressions using factoring
Multiplying rational expressions by polynomials
Dividing rational expressions by rational expressions and polynomials
Adding rational expressions with like denominators
Subtracting rational expressions with like denominators
Adding rational expressions with unlike monomial denominators
Adding rational expressions with unlike polynomial denominators
Solving rational equations
Solving rational equations using factoring
Solving a rational proportion
Solving a rational proportion, checking for extraneous solutions
Graphing rational functions
Using percent equations to find a whole amount
Using rational equations
Solving rational equations
Solving rational equations using factoring
Writing biconditionals
Separating a biconditional into parts
Writing a definition as a biconditional
Recognizing good definitions
POLYNOMIALS
Naming a polynomial
Evaluating polynomials
Classifying polynomials using the degree and number of terms
Adding polynomials
Subtracting polynomials
Multiplying two binomials using the distributive property
Multiplying two binomials using FOIL
Dividing a polynomial by a monomial
Dividing a polynomial by a binomial
Dividing polynomials with a zero coefficient
Applying the multiplication of polynomials
Multiplying a trinomial and binomial
Squaring a binomial
Squaring a binomial to find probability
Finding the difference of squares
POLYNOMIALS AND FACTORING
Multiplying a polynomial by a monomial
Finding the GCF of a polynomial
Factoring out a monomial using the GCF
Factoring perfect square trinomials with a = 1
Factoring perfect square trinomials with a ≠ 1
Factoring the difference of two squares
Factoring trinomials of the type x^2 + bx + c where b is positive
Factoring trinomials of the type x^2 + bx + c where b is negative
Factoring trinomials of the type x^2 + bx − c
Factoring trinomials with two variables
Factoring trinomials of the type ax^2 + bx + c where c is positive
Factoring trinomials of the type ax^2 + bx + c where c is negative
Factoring a four-term polynomial by grouping
Factoring a trinomial by grouping
Using factoring of trinomials in real-world situations
Writing a polynomial in factored form
Using a polynomial function and its factors to solve problems
Finding the zeros of a polynomial function
Writing a polynomial from its zeros
Solving polynomial equations by graphing
Factoring a sum or difference of cubes
Solving polynomial equations of higher degrees using factoring and the quadratic formula
Solving polynomial equations of higher degrees using factoring
SOLVING RADICAL EQUATIONS
Simplifying square roots of rational numbers
Estimating square roots of rational numbers
Solving radical equations by isolating the radical
Using radical equations to solve problems
Identifying extraneous solutions
Identifying no solutions
RADICAL EXPRESSIONS AND EQUATIONS
Simplifying radical expressions
Simplifying radical expressions involving products
Multiplying two radical expressions
Simplifying radicals by dividing
Simplifying radical expressions involving quotients, rationalize denominator
Simplifying radical sums and differences
Simplifying radical products and quotients using the distributive property
Simplifying radical products and quotients using FOIL
Simplifying radical expressions using conjugates
Solving proportions involving radical expressions
THE PYTHAGOREAN THEOREM
Using the Pythagorean Theorem to find the hypotenuse
Using the Pythagorean Theorem to find the leg
Using the Pythagorean Theorem
Using the converse of the Pythagorean Theorem I
Using the converse of the Pythagorean Theorem II
QUADRATIC EQUATIONS
Solving quadratic equations by graphing
Solving quadratic equations using square roots
Solving quadratic equations by factoring
Solving quadratic equations using completing the square
Solving quadratic equations using completing the square when a ≠ 1
Solving quadratic equations using the quadratic formula
Solving real-world problems using the quadratic formula
Choosing the appropriate method to solve quadratic equations
MATHEMATICAL REASONING
Writing a rule for a pattern
Solving consecutive integer problems
Solving distance, rate, time problems
Using counterexamples to analyze conjectures
Problem Solving Strategy: Look for a pattern
Problem Solving Strategy: Draw a diagram
Problem Solving Strategy: Guess, check, revise
Problem Solving Strategy: Write an equation
Problem Solving Strategy: Make a table
Problem Solving Strategy: Solve a simpler problem
Problem Solving Strategy: Work backward
Using formulas to solve real-life problems
Using formulas to solve real-world problems
Writing a conditional statement
Finding a counterexample to a conditional statement
Using converses of conditional statements
MISCELLANEOUS TOPICS
Adding matrices
Converting rates using unit or dimensional analysis
Solving proportions using cross products
Solving multi-step proportions
Comparing unit rates
Using percent equations to find a whole amount
Finding percent of increase
Finding percent of decrease
Finding the greatest possible error
Finding percent errors
SCIENTIFIC NOTATION
Writing a number in scientific notation
Writing a number in standard notation
Ordering numbers in scientific notation
Multiplying a number in scientific notation by a single number