West Central CUSD #235 Mathematics Department Exit Outcomes

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West Central CUSD #235
Mathematics Department Exit Outcomes
2008-09
Algebra I - 9th/10 th/11th/12th Grades
 Simplify and evaluate algebraic expressions (ILS 8A)
 Add, subtract, multiply and divide positive and negative integers (ILS 6B)
 Solve equations in one variable (ILS 8D)
 Solve inequalities in one variable (ILS 8D)
 Graph inequalities on a number line (ILS 8B)
 Calculate the slope of a line (ILS 9A)
 Write linear equations in slope-intercept form (ILS 8A)
 Graph linear equations on a coordinate plane (ILS 8B)
 Solve systems of linear equations (ILS 8D)
 Graph linear inequalities on a coordinate plane (ILS 8B)
 Solve systems of linear inequalities (ILS 8D)
 Simplify exponential expressions (ILS 8A)
 Add, subtract, and multiply polynomials (ILS 8A)
 Factor polynomials (ILS 8A)
 Calculate mean, median, mode, range of a set of data (IMAF 10.11.05)
 Solve quadratic equations (ILS 8D)
 Calculate square roots (ILS 6B)
 Calculate squares (ILS 6B)
Applied Algebra I - 9th/10 th/11th/12th Grades
 Simplify and evaluate algebraic expressions [IMAF 8.11.01]
 Add, subtract, multiply, and divide real numbers [IMAF 6.11.10]
 Solve equations in one variable [IMAF 8.11.16]
 Calculate squares [IMAF 6.11.07]
 Calculate square roots [IMAF 6.11.07]
 Solve multi-step equations [IMAF 8.11.16]
 Use the Pythagorean Theorem to find a missing side in a right triangle [IMAF
9.11.01]
 Solve and graph a linear inequality in one variable [IMAF 8.11.17]
 Solve percentage problems [IMAF 6.11.18]
 Add, subtract, and multiply polynomials [IMAF 8.11.01]
 Factor polynomials [IMAF 8.11.01]
 Solve quadratic equations [IMAF 8.11.16]
 Name the coordinates of a point on the XY coordinate plane [IMAF 9.11.11]
 Calculate the mean, median, mode, and range of a set of data [IMAF 10.11.05]
 Calculate the slope of a line [IMAF 8.11.09]
 Write a linear equation in slope-intercept form [IMAF 8.11.14]
 Graph linear equations on a coordinate plane [IMAF 8.11.13]
1
Algebra II - 10th – 12th Grades
 Add, subtract, multiply, and divide real numbers [6.11.10]
 Evaluate linear expressions [8.11.16]
 Solve linear equations [8.11.16]
 Solve linear inequalities [8.11.16]
 Calculate the slope of a line [8.11.09]
 Graph a line using either Slope-Intercept Form or Standard Form [8.11.13]
 Write an equation of a line using either slope-intercept form, point-slope form, or
two points [8.11.22]
 Graph a linear inequality in two variables [8.11.13]
 Graph an absolute value function [8.11.13]
 Identify the vertex of a parabola and graph the parabola [IMAF 8.11.08]
 Factor polynomials [8.11.01]
 Solve quadratic equations using the Quadratic Formula [8.11.18]
 Simplify expressions involving complex numbers [IMAF 8.11.18]
 Divide polynomials using Synthetic Division [IMAF 8.11.01]
 Simplify Radical Expressions [IMAF 8.11.01]
 Multiply and divide Radical Expressions [IMAF 8.11.01]
 Simplify Rational Expressions [IMAF 8.11.01]
Applied Algebra II - 10 th/11th/12th Grades
 Add, subtract, multiply, and divide real numbers [IMAF 6.11.10]
 Evaluate linear expression [IMAF 8.11.06]
 Solve linear equations [IMAF 8.11.16]
 Solve linear inequalities [IMAF 8.11.16]
 Calculate the slope of a line [IMAF 8.11.09]
 Graph a line using either Slope-Intercept Form or Standard Form [IMAF 8.11.13]
 Write an equation of a line using either slope-intercept form, point-slope form, or
two points [IMAF 8.11.22]
 Graph a linear inequality in two variables [IMAF 8.11.13]
 Graph an absolute value function [IMAF 8.11.13]
 Identify the vertex of a parabola and graph the parabola [IMAF 8.11.08]
 Factor polynomials [IMAF 8.11.01]
 Solve quadratic equations using the Quadratic Formula [IMAF 8.11.18]
 Simplify expressions involving complex numbers [IMAF 8.11.18]
 Divide polynomials using Synthetic Division [IMAF 8.11.01]
 Simplify Radical Expressions [IMAF 8.11.01]
 Multiply and Divide Radical Expressions [IMAF 8.11.01]
 Simplify Rational Expressions [IMAF 8.11.01]
Geometry Exit Outcomes
9th – 12th Grade
 Add, subtract, multiply and divide integers [IMAF 6.11.10]
 Find the next term in a number or geometric pattern [IMAF 8.11.04]
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Classify lines, angles, and planes [IMAF 9.11.04]
Sketch lines, line segments, rays, angles, and planes [IMAF
]
Find angle measures, including those of complementary, supplementary, and
vertical angles [IMAF 9.11.05]
Use parallel lines to find angle measures [IMAF 9.11.09]
Find the missing angle in a polygon [IMAF 9.11.05]
Compare the slopes of 2 lines to determine if the lines are parallel, perpendicular,
or neither [IMAF 9.11.09]
Prove triangle congruence using SSS, SAS, ASA, AAS and HL [IMAF 9.11.13]
Construct the perpendicular bisectors, angle bisectors, medians, and altitudes of a
triangle. [IMAF
]
Identify a quadrilateral by its specific characteristics [IMAF 9.11.04]
Find the angle measures and lengths of sides of quadrilaterals [IMAF 9.11.05]
Use a proportion to find the missing side in similar triangles [IMAF 9.11.05,
9.11.12]
Use the Pythagorean Theorem to find the missing side of a right triangle [IMAF
9.11.01]
Calculate sines, cosines, and tangents of right triangles [IMAF 9.11.22]
Find the perimeter/circumference of polygons/circles [IMAF 7.11.03, 7.11.05 ]
Find the area of polygons/circles [IMAF 7.11.03, 7.11.05 ]
Calculate the volume of polyhedrons [IMAF 7.11.03, 7.11.05]
Calculate the surface area of a polyhedron [IMAF 7.11.03, 7.11.05]
Calculate the volume of a polyhedron [IMAF 7.11.03, 7.11.05]
Perform isometries (reflection, rotation, translation, glide reflection) [9.11.02]
Applied Geometry – 9th/10 th/11th/12th Grades
 Classify lines, angles, and planes [IMAF 9.11.04]
 Sketch lines, line segments, rays, angles, and planes [IMAF
]
 Find angle measures, including those of complementary, supplementary, and
vertical angles [IMAF 9.11.05]
 Use parallel lines to find angle measures [IMAF 9.11.09]
 Identify a quadrilateral by its specific characteristics [IMAF 9.11.04]
 Find the angle measures and lengths of sides of quadrilaterals [IMAF 9.11.05]
 Add, subtract, multiply and divide integers [IMAF 6.11.10]
 Compare the slopes of 2 lines to determine if the lines are parallel, perpendicular,
or neither [IMAF 9.11.09]
 Find the missing angle in a triangle or other polygon [IMAF 9.11.05]
 Prove triangle congruence using SSS, SAS, ASA, AAS and HL [IMAF 9.11.13]
 Construct the perpendicular bisectors, angle bisectors, medians, and altitudes of a
triangle. [IMAF
]
 Perform isometries (reflection, rotation, translation, glide reflection) [IMAF
9.11.02]
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Use a proportion to find the missing side in similar triangles [IMAF 9.11.05,
9.11.12]
Use the Pythagorean Theorem to find the missing side of a right triangle [IMAF
9.11.01]
Find the perimeter/circumference of polygons/circles [IMAF 7.11.03, 7.11.05 ]
Find the area of polygons/circles [IMAF 7.11.03, 7.11.05 ]
Find the next term in a number or geometric pattern [IMAF 8.11.04]
Calculate sines, cosines, and tangents of right triangles [IMAF 9.11.22]
Calculate the surface area of a polyhedron [IMAF 7.11.03, 7.11.05]
Calculate the volume of a polyhedron [IMAF 7.11.03, 7.11.05]
Precalculus 11th - 12th Grade
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Calculate Midpoint and distance formulas (9A)
Find equations for lines and graph them (8A)
Solve and graph quadratic equations (8D)
Solve polynomial equations (8B)
Graph polynomial equations
Evaluate polynomial equations
Solve and graph inequalities with one variable (8B & 8D)
Solve and graph polynomial inequalities (8D)
Evaluate and perform operations on functions (8B)
Graph periodic functions with stretches and translations (8C)
Find and evaluate exponential functions (8B)
Apply the laws of logarithms (6B)
Find equations for and graph conic sections
Calculus 12th Grade
 Graph conic sections, including circle, ellipse, hyperbola, and parabola
 Evaluate a function
 Find the domain and range of a function
 Evaluate a composite function
 Find the limit of a function analytically and graphically
 Identify continuous and discontinuous functions
 Find the derivative of a function using basic rules of differentiation, including
Power Rule, Product Rule, Quotient Rule, and Chain Rule
 Find the slope of a line tangent to a function using implicit differentiation
 Find the absolute extrema of the function on a closed interval
 Find the open intervals on which the function is increasing or decreasing
 Use the First Derivative Test to find the relative extrema of the function
 Determine the open intervals on which the function is concave upward or concave
downward
 Graph functions using intercepts, asymptote lines, extrema
 Find the indefinite integral
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Write Sigma in expanded notation and find the sum
Evaluate the sum (Sigma) using the properties of summation and summation
formulas
Evaluate the definite integral
Graph the region of the definite integral
Statistics 11th – 12th Grade (one semester class)
 Identify sampling methods (10B)
 Use bar graphs, circle graphs and time plots to model data (8D)
 Calculate measures of Central Tendency – Mode, Median, and Mean (10A)
 Calculate standard deviation using formulas (10A)
 Use Box-and-Whisker Plots to display data (8B)
 Make scatter diagrams (10A)
 Use linear regression to find the equation of trend lines (10A)
 Calculate probabilities of events (10C)
Trigonometry- 11th & 12th Grade – (one semester class)
 Convert angles between degrees and radians (7A)
 Use the unit circle to find sine and cosine. (9D)
 Find sine and cosine for special angles without a calculator (9D)
 Given one trig function, find the other five.
 Solve trig equations
 Graph trig equations
 Use right triangles trig to solve real life problems (9D)
 Solve problems using the sum and difference formulas for sine and cosine(9D)
 Convert between polar and rectangular coordinates (6A)
 Perform calculations on complex numbers (6B)
 Apply trigonometric addition formulas.
Math Competency – 12th Grade
 Add, subtract, multiply, and divide real numbers [IMAF 6.11.10]
 Use the order of operations
 Simplify and evaluate algebraic expressions [IMAF 8.11.01]
 Calculate the mean, median, mode, and range of a set of data [IMAF 10.11.05]
 Add, subtract, and multiply polynomials [IMAF 8.11.01]
 Factor polynomials [IMAF 8.11.01]
 Write linear equations and inequalities [IMAF 8.11.22]
 Solve equations in one variable [IMAF 8.11.16]
 Solve multi-step equations [IMAF 8.11.16]
 Solve and graph linear inequalities [IMAF 8.11.17]
 Simplify expressions involving complex numbers [IMAF 8.11.18]
 Simplify Radical and Rational Expressions [IMAF 8.11.01]
 Find angle measures, including those of complementary, supplementary, and
vertical angles [IMAF 9.11.05]
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Prove triangle congruence using SSS, SAS, ASA, AAS and HL [IMAF 9.11.13]
Use the Pythagorean Theorem to find the missing side of a right triangle [IMAF
9.11.01]
Calculate sines, cosines, and tangents of right triangles [IMAF 9.11.22]
Find the perimeter/circumference and area of polygons/circles [IMAF 7.11.03,
7.11.05 ]
Calculate the surface area and volume of a polyhedron [IMAF 7.11.03, 7.11.05]
Graph trig equations
Find sine and cosine for special angles without a calculator (9D)
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