MONTH

CONTENT

SKILLS

ASSESSMENTS

STANDARDS

Aug/Sept

Sept

Sept/Oct

Oct

Oct/Nov

Dec

Jan

Jan

Jan/Feb

Feb/Mar

Apr

Apr/May

May

Analyzing Equations and Inequalities

Graphing Linear Relations and Functions

Solving Systems of Linear Equations and Inequalities

Using Matrices

Exploring Polynomials and Radical Expressions

Exploring Quadratic Functions and Inequalities

Semester Test

Polynomial Functions

Exploring Rational Expressions

Analyzing Conic Sections

Investigating Sequences and Series

Exploring Trigonometric Functions

Semester Test

·          use the order of operations to evaluate expressions

·          use formulas

·          determine the sets of numbers to which a given number belongs

·          use the properties of real numbers to simplify expressions

·          represent and interpret data using line plots and stem-and-leaf plots

·          find and use the median, mode and mean to interpret data

·          translate verbal expressions and sentences into algebraic expressions and equations

·          solve equations by using the properties of equality

·          solve equations for a specific variable

·          solve equations containing absolute value

·          solve inequalities and graph the solution sets

·          solve compound inequalities using and and or

·          solve inequalities involving absolute value and graph the solutions

·          graph a relation, state its domain and range, and determine if it is a function

·          find values of functions for given elements of the domain

·          identify equations that are linear and graph them

·          write linear equations in standard form

·          determine the intercepts of a line and use them to graph an equation

·          determine the slope of a line

·          use slope and a point to graph an equation

·          determine if two lines are parallel, perpendicular or neither

·          solve problems by identifying and using a pattern

·          write an equation of a line in slope-intercept form given the slope and one or two points

·          write an equation of a line that is parallel or perpendicular to the graph of a given equation

·          draw a scatter plot

·          find and use a prediction equation

·          identify and graph special functions

·          draw graphs of inequalities in two variables

·          solve systems of equations by graphing

·          use the substitution and elimination methods to solve systems of equations

·          find the values of second-order determinants

·          solve systems of equation by using Cramer’s rule

·          solve systems of inequalities by graphing

·          find the maximum and minimum values of a function over a region

·          solve a system of three equation in three variables

·          perform scalar multiplication on a matrix

·          solve matrices for variables

·          solve problems using matrix logic

·          add and subtract matrices

·          multiply matrices

·          evaluate the determinant of a 3x3 matrix

·          find the area of a triangle, given the coordinates of its vertices

·          write the identity matrix for any square matrix

·          find the inverse of a 2x2 matrix

·          solve systems of a linear equation by using inverse matrices

·          write a linear equation in and augmented matrix form and vice versa

·          find the range, quartiles and interquartile range for a set of data

·          determine if any values in a set of data are outliers

·          represent data using box-and-whisker plots

·          multiply and divide monomials

·          represent numbers in scientific notation

·          multiply and divide expressions written in scientific notation

·          add, subtract, and multiply polynomials

·          divide polynomials using long division

·          divide polynomials by binomials using synthetic division

·          factor polynomials

·          use factoring to simplify polynomial quotients

·          simplify radicals having various index

·          use a calculator to estimate roots of numbers

·          simplify radical expressions

·          rationalize the denominator of a fraction containing a radical expression

·          add, subtract, multiply, and divide rational expressions

·          write expressions with rational exponents in simplest radical from and vice versa

·          evaluate expressions in either exponential or radical form

·          solve equations and inequalities containing radicals

·          simplify square roots containing negative radicands

·          solve quadratic equations that have pure imaginary solutions

·          add, subtract, multiply, and complex numbers

·          simplify rational expressions containing complex numbers in the denominator

·          write functions in quadratic form

·          graph quadratic functions

·          solve quadratic equations by graphing

·          solve problems by using the guess-and-check strategy

·          solve quadratic equations by factoring

·          solve quadratic equations by completing the square

·          solve quadratic equations by using the quadratic formula

·          use discriminant to determine the nature of the roots of quadratic equations

·          find the sum and product of the roots of quadratic equations

·          find a quadratic equation to fit a given condition

·          graph quadratic functions of the form y=a(x-h)²+k

·          determine the equation of a parabola by using points on its graph

·          graph quadratic inequalities

·          solve quadratic inequalities in one variable

·          find the standard deviation for a set of data

·          evaluate polynomial functions

·          identify general shape of the graphs of polynomial functions

·          find factors of polynomials by using the factor theorem and synthetic division

·          approximate the real zeros of polynomial functions

·          find maxima and minima of polynomial functions

·          graph polynomial functions

·          find the number and type of zeros of a polynomial function

·          identify all possible rational zeros of a polynomial function by using the rational zero theorem

·          find zeros of polynomial functions

·          solve nonquadratic equations by using quadratic techniques

·          find the composition of functions

·          determine the inverse of a function or relation

·          graph functions and their inverses

·          graph rational functions

·          simplify rational expressions

·          simplify complex fractions

·          find the LCD of two or more algebraic expression

·          add and subtract rational expressions

·          solve rational equations and inequalities

·          find the distance between two points in the coordinate plane

·          find the midpoint of a line segment in the coordinate plane

·          write equations of parabolas

·          graph parabolas having certain properties

·          write equations of circles

·          graph circles having certain properties

·          write equations of ellipses

·          graph ellipses having certain properties

·          write equations of hyperbolas

·          graph hyperbolas having certain properties

·          write equations of conic sections in standard form

·          identify conic sections from their equations

·          solve systems of equations involving quadratics graphically

·          solve systems of inequalities involving quadratics graphically

·          find the next term in a sequence by looking for a pattern

·          find the nth term of an arithmetic sequence

·          find the position of a given term in an arithmetic sequence

·          find arithmetic means

·          find sums of arithmetic series

·          find specific terms in an arithmetic series

·          use sigma notation to express sums

·          find the nth term of a geometric sequence

·          find the position of a given term in a geometric sequence

·          find geometric means

·          find the sum of geometric series

·          find specific terms in a geometric series

·          use sigma notation to express sums

·          find sums of infinite geometric series

·          recognize and use special sequences

·          iterate functions

·          expand powers of binomials by using the binomial theorem

·          find specific terms of binomial expansions

·          find values of trigonometric functions for acute angles

·          solve problems involving right triangles

·          change radian measure to degree measure and vice versa

·          identify conterminal angles

·          find values of trigonometric functions for general angels

·          use trig identities to find values of trig functions

·          solve triangles by using the law of sines

·          solve triangles by using the law of cosines

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Semester Test

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Semester Test