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Use the properties of real numbers and variables
Assessment Strategies
by active participation in class discussions and activities
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments and laboratory work with passing grades according to the grading scale contained in the syllabus
Criteria
calculate the sum, difference, product and quotient of two integers individually according to the standard order of operations
calculate the sum, difference, product and quotient of two integers in combination according to the standard order of operations
simplify all numeric results using the Commutative, Associative and Distributive properties
calculate the sum, difference, product and quotient of two rational numbers individually according to the standard order of operations
calculate the sum, difference, product and quotient of two rational numbers in combination according to the standard order of operations
apply the properties of exponents
simplify a variable expression by combining like terms
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Solve first-degree equations and inequalities including those that arise from concrete applications
Assessment Strategies
by active participation in class discussions and activities
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments and laboratory work with passing grades according to the grading scale contained in the syllabus
Criteria
use multiplication and addition properties of equality to solve a first-degree equation
use multiplication and addition properties of inequality to solve a first-degree inequality
solve a problem involving ratios and proportions
apply solution algorithms to solve word problems
validitate an answer
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Use the Cartesian coordinate system
Assessment Strategies
by active participation in class discussions and activities
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments and laboratory work with passing grades according to the grading scale contained in the syllabus
Criteria
plot points on the Cartesian plane
find points for a given linear equation
determine the slope of a line
determine the equation of a line given the slope and a point, two points, and one point and the relationship of the line to another line
graph an inequality in two variables in the Cartesian plane
solve a problem situation using the Cartesian plane
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Solve systems of two linear equations and inequalities in two variables
Assessment Strategies
by active participation in class discussions and activities
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments and laboratory work with passing grades according to the grading scale contained in the syllabus
Criteria
solve a system of linear equations using elimination
solve a system of linear equations using substitution
solve a system of linear equations by graphing on the Cartesian coordinate system
solve a system of linear inequalities by graphing on the Cartesian coordinate system
use a system of linear equations to represent and solve an application problem
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Perform operations with polynomials
Assessment Strategies
by active participation in class discussions and activities
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments and laboratory work with passing grades according to the grading scale contained in the syllabus
Criteria
identify type of polynomial and its degree
rewrite polynomials in standard form
perform the basic operations of addition and subtraction of polynomials including monomials, binomials, trinomials
multiply two binomials using FOIL and two polynomials using a grouping method
divide a polynomial by a binomial using long division
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Solve factorable quadratic equations and their applications
Assessment Strategies
by active participation in class discussions and activities
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments and laboratory work with passing grades according to the grading scale contained in the syllabus
Criteria
factor out the greatest common factor
recognize the standard forms of quadratic expressions including the difference of two squares and perfect squares
apply the appropriate factoring algorithm
solve application problems involving factorable quadratic equations
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Perform basic operations on rational expressions and solve rational equations
Assessment Strategies
by active participation in class discussions and activities
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments and laboratory work with passing grades according to the grading scale contained in the syllabus
Criteria
simplify a rational expression by recognizing common factors in the numerator and denominator
find the least common multiple of two or more denominators
operate with rational expressions including addition, subtraction, multiplication and division of two or more rational expressions
simplify a rational expression containing one or more fractions in the numerator and/or denominator
solve rational equations by multiplying both sides by the least common denominator
solve application problems involving rational equations including work, distance and proportion problems
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Solve quadratic equations and their applications by selecting an appropriate method
Assessment Strategies
by active participation in class discussions and activities
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments and laboratory work with passing grades according to the grading scale contained in the syllabus
Criteria
solve a quadratic equation by factoring
apply the completing the square process to solve a quadratiac equation (optional)
solve a quadratic equation by using the quadratic formula
select the most appropriate method to solve a particular quadratic equation from the following methods: factoring method, square root method, quadratic formula
apply concepts involving a quadratic equation to solve application problems
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Simplify radical expressions
Assessment Strategies
by active participation in class discussions and activities
by completing and submitting for evaluation all in-class and take-home quizzes, tests, projects, graded assignments and laboratory work with passing grades according to the grading scale contained in the syllabus
Criteria
examine what it means to take the square (or cube) root of a number
use the Product Rule for Radicals to multiply and simplify by factoring out perfect squares (or cubes) from under a square (or cube) root symbol
add and/or subtract two or more radical terms, simplifying as necessary
apply the Quotient Rule to simplify a radical expression (optional)
rationalize a denominator containing one or two terms (optional)
solve an equation containing a square root by isolating the square root and squaring both sides of the equation (optional)