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Course:
Applied Mathematics 2
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1205410
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Assessment:
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The Benchmarks MA.912.A.3.14 and MA.912.A.3.15 are limited to a maximum of two variables in Algebra I, Algebra IH, Algebra Ib, Applied Math II, and Integrated Math I.
The Benchmark MA.912.A.10.3 is limited to linear expressions, equations, and inequalities in Algebra I, Algebra IH, Algebra Ib, Applied Math II, and Integrated Math I.
The Benchmark MA.912.A.4.4 is limited to dividing polynomials by monomials and does not include synthetic division in Algebra I, Algebra IH, Algebra Ib, and Applied Math II.
The Benchmark MA.912.A.6.2 is limited to radical expressions in the form of square roots in Algebra I, Algebra IH, Algebra Ib, Applied Math II, and Integrated Math I.
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| Benchmark # | Description | Cognitive Complexity |
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LA.910.1.6.1:
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The student will use new vocabulary that is introduced and taught directly;
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LA.910.1.6.2:
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The student will listen to, read, and discuss familiar and conceptually challenging text;
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LA.910.1.6.5:
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The student will relate new vocabulary to familiar words;
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LA.910.3.1.3:
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The student will prewrite by using organizational strategies and tools (e.g., technology, spreadsheet, outline, chart, table, graph, Venn Diagram, web, story map, plot pyramid) to develop a personal organizational style.
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MA.912.A.1.8:
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Use the zero product property of real number s in a variety of contexts to identify solutions to equations.
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Moderate
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MA.912.A.3.13:
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Use a graph to approximate the solution of a system of linear equations or inequalities in two variables with and without technology.
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Moderate
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MA.912.A.3.14:
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Solve systems of linear equations and inequalities in two and three variables using graphical, substitution, and elimination methods.
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Moderate
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MA.912.A.3.15:
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Solve real-world problem s involving systems of linear equations and inequalities in two and three variables.
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High
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MA.912.A.4.1:
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Simplify monomials and monomial expressions using the laws of integral exponents.
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Low
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MA.912.A.4.2:
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Add, subtract, and multiply polynomials.
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Low
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MA.912.A.4.3:
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Factor polynomial expressions.
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Moderate
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MA.912.A.4.4:
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Divide polynomials by monomials and polynomials with various techniques, including synthetic division .
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Moderate
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MA.912.A.5.1:
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Simplify algebraic ratios.
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Moderate
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MA.912.A.5.4:
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Solve algebraic proportions.
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Low
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MA.912.A.6.1:
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Simplify radical expressions
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Moderate
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MA.912.A.6.2:
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Add, subtract, multiply, and divide radical expressions (square roots and higher).
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Moderate
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MA.912.A.7.1:
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Graph quadratic equations with and without graphing technology.
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Moderate
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MA.912.A.7.2:
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Solve quadratic equations over the real number s by factoring and by using the quadratic formula.
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Moderate
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MA.912.A.7.8:
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Use quadratic equations to solve real-world problem s.
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Moderate
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MA.912.A.7.10:
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Use graphing technology to find approximate solutions of quadratic equations.
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Low
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MA.912.A.10.1:
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Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guessing- and-checking, solving a simpler problem, writing an equation, working backwards, and creating a table.
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High
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MA.912.A.10.2:
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Decide whether a solution is reasonable in the context of the original situation.
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Moderate
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MA.912.A.10.3:
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Decide whether a given statement is always, sometimes, or never true (statements involving linear or quadratic expressions, equations, or inequalities, rational or radical expressions, or logarithmic or exponential function s).
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High
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MA.912.G.2.5:
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Explain the derivation and apply formulas for perimeter and area of polygons (triangles, quadrilaterals, pentagons, etc.).
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Moderate
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MA.912.G.5.3:
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Use special right triangle s (30° - 60° - 90° and 45° - 45° - 90° ) to solve problems.
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Moderate
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MA.912.G.5.4:
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Solve real-world problem s involving right triangle s.
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High
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MA.912.G.6.5:
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Solve real-world problem s using measures of circumference, arc length, and areas of circles and sectors.
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High
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MA.912.G.7.5:
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Explain and use formulas for lateral area, surface area, and volume of solids.
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Moderate
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MA.912.G.7.7:
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Determine how changes in dimensions affect the surface area and volume of common geometric solid s.
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Moderate
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MA.912.S.2.1:
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Compare the difference between surveys, experiments, and observational studies and what types of questions can and cannot be answered by a particular design.
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High
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MA.912.S.2.2:
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Apply the definition of random sample and basic types of sampling, including representative samples, stratified samples, censuses.
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Moderate
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MA.912.S.2.3:
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Identify sources of bias, including sampling and nonsampling errors.
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Moderate
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MA.912.S.3.9:
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Identify outliers in a set of data based on an appropriate graphical presentation of the data, and describe the effect of outliers on the mean, median, and range of the data.
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Moderate
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