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At the conclusion of the
course, the student should be able to: |
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1. simplify numerical and algebraic
expressions involving the operations of addition,
subtraction, multiplication, and division of real numbers
and the order of operations. |
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2.
simplify and/or evaluate an algebraic
expression utilizing order of operations, including
exponentiation, along with Commutative, Associative, and
Distributive Properties. |
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3.
solve first-degree equations. |
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4.
utilize first-degree equations to
solve application problems. |
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5.
express numbers using scientific or
standard notation. |
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6.
perform the operations of addition,
subtraction, and multiplication with polynomials. |
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7.
completely factor polynomial
expressions, not including sum and difference of cubes. |
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8.
perform multiplication and division
with rational expressions. |
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9.
perform addition and subtraction on
rational expressions with a common denominator. |
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10.
solve proportions. |
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11.
solve literal equations. |
12.
sketch the graph of a linear equation
in two variables on a rectangular
coordinate plane using the x- and y-intercepts and/or other
ordered pairs. |
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13.
sketch the graph of a line satisfying
given conditions involving ordered pairs and/or slope. |
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14.
write the equation of a line given the
slope and the y-intercept. |
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15.
simplify radical expressions involving
square root and use the simplest radical form or decimal
form to express answers. |
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16.
solve quadratic equations by using the
factoring method and the square root method. |
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17.
identify types of angles (acute,
obtuse, right, supplementary, complementary) and be able to
use relationships involving the angles in problem solving. |
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18.
classify triangles (using lengths of
sides or measures of angles) and use related properties in
problem solving. |
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19.
find the area and perimeter of
triangles and quadrilaterals and find the circumference and
area of circles. |
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20.
identify similar triangles and use
related properties in problem solving. |
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21.
identify simple polygons. |
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22.
utilize the Pythagorean Theorem in
problem solving. |
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23.
solve a first-degree inequality in one
variable and graph the solution on a number line graph. |
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24.
utilize the relationship of angles
created by parallel lines cut by a transversal in problem
solving. |
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25.
classify quadrilaterals and use
related properties in problem solving. |