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RC1

A.10(A) add and subtract polynomials of degree one and degree two

Simplify variable expressions involving like terms and the distributive property

Add and subtract polynomials of degree one and degree two

Sumar y restar polinomios de grado uno y grado dos

A.10(B) multiply polynomials of degree one and degree two

Polynomial vocabulary

Model polynomials with algebra tiles

Multiply a polynomial by a monomial

Multiply two binomials

Multiply polynomials of degree one and degree two

Multiplicar polinomios de grado uno y grado dos

A.10(C) determine the quotient of a polynomial of degree one and polynomial of degree two when divided by a polynomial of degree one and polynomial of degree two when the degree of the divisor does not exceed the degree of the dividend

Divide polynomials

Divide polynomials of degree one and degree two

Dividir polinomios de grado uno y grado dos

A.10(D) rewrite polynomial expressions of degree one and degree two in equivalent forms using the distributive property

Simplify polynomial expression using the distributive property

Simplificar la expresión polinómica mediante la propiedad distributiva

A.10(E) factor, if possible, trinomials with real factors in the form ax2 + bx + c, including perfect square trinomials of degree two

Factor quadratics with leading coefficient 1

Factor quadratics with other leading coefficients

Factor quadratics: special cases

Factor quadratics using algebra tiles

Factoring trinomials

Factorizar un trinomio

A.10(F) decide if a binomial can be written as the difference of two squares and, if possible, use the structure of a difference of two squares to rewrite the binomial

Difference of 2 squares for a binomial

Diferencia de 2 cuadrados

A.11(A) simplify numerical radical expressions involving square roots

Simplify square root expressions

Simplificar expresiones de raiz cuadradas

A.11(B) simplify numeric and algebraic expressions using the laws of exponents, including integral and rational exponents

Negative exponents

Multiplication with exponents

Division with exponents

Multiplication and division with exponents

Power rule

Simplify expressions involving exponents

Identify equivalent expressions involving exponents

Evaluate integers raised to rational exponents

Simplifying expressions with exponenets

Simplificar expresiones con exponentes

A.12(A) decide whether relations represented verbally, tabularly, graphically, and symbolically define a function

Identify functions

Identify functions: vertical line test

Funtion, Not a function

Relacion o funcion

A.12(B) evaluate functions, expressed in function notation, given one or more elements in their domains

Evaluate function rules I

Evaluate function rules II
Find values using function graphs

Complete a function table from a graph

Function notation

Notacion de funcion

A.12(C) identify terms of arithmetic and geometric sequences when the sequences are given in function form using recursive processes

Arithmetic and Geometiric sequences

Progresiones aritmeticas y geometricas

A.12(D) write a formula for the nth term of arithmetic and geometric sequences, given the value of several of their terms

Arithmetic and Geometiric sequences

Progresiones aritmeticas y geometricas

A.12(E) solve mathematic and scientific formulas, and other literal equations, for a specified variable

Write variable equations

Solving literal equations

Resolviendo ecuaciones literales

RC2

A.3(A) determine the slope of a line given a table of values, a graph, two points on the line, and an equation written in various forms, including y = mx + b, Ax + By = C, and y – y1 = m(x – x1)

Find the slope of a graph

Find the slope from two points

Slope-intercept form: find the slope and y-intercept

Finding slope using 2 points

Calcular la pendiente de dos puntos

A.3(B) calculate the rate of change of a linear function represented tabularly, graphically, or algebraically in context of mathematical and real-world problems

Linear function word problems

Finding rate of change

Calcular la tasa de cambio

A.3(C) graph linear functions on the coordinate plane and identify key features, including x-intercept, y-intercept, zeros, and slope, in mathematical and real-world problems

Standard form: find x- and y-intercepts

Point-slope form: graph an equation

Finding X and Y intercepts

Calcular interceptos de X y Y

A.3(D) graph the solution set of linear inequalities in two variables on the coordinate plane

Does (x, y) satisfy the inequality?

Graph a linear inequality in the coordinate plane

Graphing linear inequalities

Grafica de una desigualdad lineal

A.3(E) determine the effects on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values o f a, b, c, and d

Compare linear functions: graphs, tables, and equations

Translations of linear equaitions

A.3(F) graph systems of two linear equations in two variables on the coordinate plane and determine the solutions if they exist

Solve a system of equations by graphing

Find the number of solutions to a system of equations by graphing

Find the number of solutions to a system of equations

Classify a system of equations by graphing

Graphically solving a system of equations

Grafica de un sistema de ecuaciones lineales

A.3(G) estimate graphically the solutions to systems of two linear equations with two variables in real-world problems

Solve a system of equations by graphing: word problems

Graphically solving a system of equations

Grafica de un sistema de ecuaciones lineales

A.3(H) graph the solution set of systems of two linear inequalities in two variables on the coordinate plane

Is (x, y) a solution to the system of inequalities?

Solve systems of linear inequalities by graphing

Graphing a system of inequalities

Graficar sistemas de desigualdades

A.4(A) calculate, using technology, the correlation coefficient between two quantitative variables and interpret this quantity as a measure of the strength of the linear association

Calculate the correlation coefficient

Calcular el coeficiente de correlacion

A.4(B) compare and contrast association and causation in real-world problems

n/a

n/a

A.4(C) write, with and without technology, linear functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems

Correlation and linear regression using TI-84

Caluclate linear equation of best fit

Calcular la ecuación lineal de mejor ajuste

RC3

A.2(A) determine the domain and range of a linear function in mathematical problems; determine reasonable domain and range values for real-world situations, both continuous and discrete; and represent domain and range using inequalities

Domain and range of relations 

Domain and Range of Linear Functions

Dominio y Rango de Ecuaciones Lineales

A.2(B) write linear equations in two variables in various forms, including y = mx + b, Ax + By = C, and y – y1 = m(x – x1), given one point and the slope and given two points

Point-slope form: write an equation from a graph

Point-slope form: write an equation

Equation of a Line Using Point Slope Form

Ecuacion lineal en forma punto pendiente

A.2(C) write linear equations in two variables given a table of values, a graph, and a verbal description

Slope-intercept form: write an equation from a graph

Slope-intercept form: write an equation

Write equations in standard form

Writing linear equations from a graph/table

Calcular la ecuacion de una recta a partir de su grafica

A.2(D) write and solve equations involving direct variation

Find the constant of variation

Write direct variation equations

Write and solve direct variation equations

Direct variation

Variacion directa

A.2(E) write the equation of a line that contains a given point and is parallel to a given line

Slopes of parallel and perpendicular lines

Write an equation for a parallel or perpendicular line

Equation of a parallel line

Ecuacion de recta paralela

A.2(F) write the equation of a line that contains a given point and is perpendicular to a given line

Equation of a perpendicular line

Ecuacion de recta perpendicular

A.2(G) write an equation of a line that is parallel or perpendicular to the x- or y-axis and determine whether the slope of the line is zero or undefined

Equations of horizontal and vertical lines

Graph a horizontal or vertical line

Equation of a line parallel to X axis

Ecuacion de la recta perpendicular al eje Y

A.2(H) write linear inequalities in two variables given a table of values, a graph, and a verbal description

Linear inequality from a graph

Desiguladad lineal de una grafica

A.2(I) write systems of two linear equations given a table of values, a graph, and a verbal description

Is (x, y) a solution to the system of equations?

System of equations from a verbal description

Sistema de ecuaciones de una grafica

A.5(A) solve linear equations in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides

Model and solve equations using algebra tiles

Solve one-step linear equations

Solve two-step linear equations

Solve equations with variables on both sides

Solving single variable equations involving distribution

Resolver equationes lineales de un variable

A.5(B) solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides

Does (x, y) satisfy the inequality?

Linear inequalities: solve for y

Graph a linear inequality in the coordinate plane

Solving single variable inequalities involving distribution

Resolver desigualdades de un variable

A.5(C) solve systems of two linear equations with two variables for mathematical and real-world problems

Solve a system of equations using substitution: word problems

Solve a system of equations using elimination: word problems

Solve a system of equations using any method: word problems

System of equations word problems

Sistema de ecuaciones problema de palabras

RC4

A.6(A) determine the domain and range of quadratic functions and represent the domain and range using inequalities

Domain and range of relations 

Domain and range of quadratic functions

Dominio y rango de funciones cuadraticas

A.6(B) write equations of quadratic functions given the vertex and another point on the graph, write the equation in vertex form (f(x) = a(x – h) 2 + k), and rewrite the equation from vertex form to standard form (f(x) = ax2 + bx + c)

Quadratic function given the vertex and a point

Ecuacion cudratica dado el vertice y un punto

A.6(C) write quadratic functions when given real solutions and graphs of their related equations

Characteristics of quadratic functions

Complete a function table: quadratic functions

Quadratic function given real solutions

Ecuacion cuadratica dada sus raices

A.7(A) graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry

Graphical properties of quadratic functions

Propiedades graficas de ecuciones cuadraticas

A.7(B) describe the relationship between the linear factors of quadratic expressions and the zeros of their associated quadratic functions

Linear factors and quadratic s

Factores lineales y cuadraticas

A.7(C) determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values o f a, b, c, and d

Transformations of quadratic functions

Quadratic transformations

Transformaciones cuadraticas

A.8(A) solve quadratic equations having real solutions by factoring, taking square roots, completing the square, and applying the quadratic formula

Solve a quadratic equation using square roots

Solve an equation using the zero product property

Solve a quadratic equation by factoring

Complete the square

Solve a quadratic by completing the square

Solve a quadratic using the quadratic formula

Using the discriminant

Using the quadratic formula

Usando la formula cuadratica

A.8(B) write, using technology, quadratic functions that provide a reasonable fit to data to estimate solutions and make predictions for real-world problems

Find the curve of best fit

Curve of best fit

Curva de mejor ajuste

RC5

A.9(A) determine the domain and range of exponential functions of the form f(x) = abx and represent the domain and range using inequalities

Domain and range of relations 

Domain and range of exponential functions

n/a

A.9(B) interpret the meaning of the values of a and b in exponential functions of the form f(x) = abx in real-world problems

Writing exponential functions

Calcular una funcion exponencial

A.9(C) write exponential functions in the form f(x) = abx (where b is a rational number) to describe problems arising from mathematical and real-world situations, including growth and decay

Evaluate an exponential function

Match exponential functions and graphs

Exponential growth and decay

Exponenciales de crecimiento y decaimiento

A.9(D) graph exponential functions that model growth and decay and identify key features, including y-intercept and asymptote, in mathematical and real-world problems

Exponential growth and decay: word problems

Graphing exponential growth functions

Grafica de funciones de crecimiento exponencial

A.9(E) write, using technology, exponential functions that provide a reasonable fit to data and make predictions for real-world problems

Using TI-84 to create an Exponential Regression

Exponential curve of best fit

Curva exponencial de mejor ajuste