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Course:
Integrated Mathematics 1
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1207310
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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.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.1.1.6.1:
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The student will use new vocabulary that is introduced and taught directly;
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LA.1.1.6.2:
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The student will listen to, read, and discuss both familiar and conceptually challenging text;
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LA.1.1.6.5:
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The student will relate new vocabulary to prior knowledge;
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LA.1.3.1.3:
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The student will prewrite by organizing ideas using simple webs, maps, or lists.
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MA.912.A.2.3:
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Describe the concept of a function, use function notation, determine whether a given relation is a function, and link equations to functions.
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Moderate
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MA.912.A.2.4:
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Determine the domain and range of a relation.
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Moderate
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MA.912.A.2.13:
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Solve real-world problem s involving relations and functions.
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High
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MA.912.A.3.1:
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Solve linear equations in one variable that include simplifying algebraic expression s.
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Moderate
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MA.912.A.3.2:
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Identify and apply the distributive, associative, and commutative properties of real number s and the properties of equality.
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Moderate
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MA.912.A.3.3:
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Solve literal equations for a specified variable.
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Moderate
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MA.912.A.3.4:
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Solve and graph simple and compound inequalities in one variable and be able to justify each step in a solution.
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Moderate
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MA.912.A.3.7:
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Rewrite equations of a line into slope-intercept form and standard form.
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Low
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MA.912.A.3.8:
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Graph a line given any of the following information: a table of values, the x- and y-intercepts, two points, the slope and a point, the equation of the line in slope-intercept form, standard form, or point-slope form .
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Moderate
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MA.912.A.3.9:
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Determine the slope, x-intercept, and y-intercept of a line given its graph, its equation, or two points on the line.
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Moderate
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MA.912.A.3.10:
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Write an equation of a line given any of the following information: two points on the line, its slope and one point on the line, or its graph. Also, find an equation of a new line parallel to a given line, or perpendicular to a given line, through a given point on the new line.
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Moderate
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MA.912.A.3.11:
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Write an equation of a line that models a data set, and use the equation or the graph to make predictions. Describe the slope of the line in terms of the data, recognizing that the slope is the rate of change.
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High
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MA.912.A.3.12:
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Graph a linear equation or inequality in two variables with and without graphing technology. Write an equation or inequality represented by a given graph.
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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.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.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.1.1:
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Find the lengths and midpoints of line segments in two-dimensional coordinate systems.
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Moderate
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MA.912.G.1.2:
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Construct congruent segments and angles, angle bisectors, and parallel and perpendicular lines using a straight edge and compass or a drawing program, explaining and justifying the process used.
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Moderate
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MA.912.G.1.3:
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Identify and use the relationships between special pairs of angles formed by parallel lines and transversals.
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Moderate
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MA.912.G.1.4:
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Use coordinate geometry to find slopes, parallel lines, perpendicular lines, and equations of lines.
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Moderate
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MA.912.G.2.1:
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Identify and describe convex, concave, regular, and irregular polygons.
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High
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MA.912.G.2.2:
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Determine the measures of interior and exterior angles of polygons, justifying the method used.
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Moderate
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MA.912.G.4.1:
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Classify, construct, and describe triangles that are right, acute, obtuse, scalene, isosceles, equilateral, and equiangular.
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Moderate
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MA.912.G.4.2:
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Define, identify, and construct altitudes, medians, angle bisectors, perpendicular bisectors,orthocenter, centroid, incenter, and circumcenter.
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Moderate
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MA.912.G.5.1:
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Prove and apply the Pythagorean Theorem and its converse.
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High
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MA.912.G.8.1:
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Analyze the structure of Euclidean geometry as an axiomatic system. Distinguish between undefined terms, definitions, postulates, and theorems.
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High
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MA.912.G.8.2:
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Use a variety of problem-solving strategies, such as drawing a diagram, making a chart, guess-and-check, solving a simpler problem, writing an equation, and working backwards.
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Moderate
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MA.912.G.8.3:
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Determine whether a solution is reasonable in the context of the original situation.
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Moderate
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