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Scarborough High School

Scarborough High School

Success is about attitude and expectations everyday!

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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

Scarborough High School

Scarborough High School

Success is about attitude and expectations everyday!

4141 Costa Rica Houston, TX 77092-5202  713-613-2200 fax:  713-613-2205Accessibility

Scarborough High School

4141 Costa Rica Houston, TX 77092-5202


 713-613-2200

fax:  713-613-2205

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