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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