Comparing College And Career Readiness
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What Is Career Readiness
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Territories, please proceed to the non-U. Students who score in the 1—12 range are most likely beginning to develop the knowledge and skills assessed in the other ranges. Students who achieve the 28—32 level are likely able to use variables fluently so that they can solve problems with variables in the same way that they can solve the problems with numbers, and they can use variables to represent general properties. Because Algebra and Functions are closely connected, some standards apply to both categories. These have the abbreviation AF and are listed in both categories. Topics in the flow to Perform one-operation computation with whole numbers and decimals N Recognize equivalent fractions and fractions in lowest terms N Locate positive rational numbers expressed as whole numbers, fractions, decimals, and mixed numbers on the number line N Recognize one-digit factors of a number N Locate rational numbers on the number line Note: A matrix as a representation of data is treated here as a basic table.
Exhibit knowledge of elementary number concepts such as rounding, the ordering of decimals, pattern identification, primes, and greatest common factor N Write positive powers of 10 by using exponents N Comprehend the concept of length on the number line, and find the distance between two points N Understand absolute value in terms of distance N Find the distance in the coordinate plane between two points with the same x -coordinate or y -coordinate N Add two matrices that have whole number entries N Order fractions N Find and use the least common multiple N Work with numerical factors N Exhibit some knowledge of the complex numbers N Add and subtract matrices that have integer entries N Apply number properties involving prime factorization N Apply properties of rational exponents N Multiply two complex numbers N Use relations involving addition, subtraction, and scalar multiplication of vectors and of matrices N Analyze and draw conclusions based on number concepts N Apply properties of rational numbers and the rational number system N Apply properties of real numbers and the real number system, including properties of irrational numbers N Apply properties of complex numbers and the complex number system N Multiply matrices N Apply properties of matrices and properties of matrices as a number system Topics in the flow to Solve problems in one or two steps using whole numbers and using decimals in the context of money A Solve routine one-step arithmetic problems using positive rational numbers, such as single-step percent AF Solve some routine two-step arithmetic problems AF Relate a graph to a situation described qualitatively in terms of familiar properties such as before and after, increasing and decreasing, higher and lower AF Substitute whole numbers for unknown quantities to evaluate expressions A Solve one-step equations to get integer or decimal answers A Combine like terms e.
Solve routine two-step or three-step arithmetic problems involving concepts such as rate and proportion, tax added, percentage off, and estimating by using a given average value in place of actual values AF Perform straightforward word-to-symbol translations AF Evaluate algebraic expressions by substituting integers for unknown quantities A Add and subtract simple algebraic expressions A Solve routine first-degree equations A Multiply two binomials A Exhibit knowledge of slope AF Match linear equations with their graphs in the coordinate plane A Recognize that when numerical quantities are reported in real-world contexts, the numbers are often rounded A Solve real-world problems by using first-degree equations A Solve first-degree inequalities when the method does not involve reversing the inequality sign A Add, subtract, and multiply polynomials A Identify solutions to simple quadratic equations A Work with squares and square roots of numbers A Work with cubes and cube roots of numbers A Work with scientific notation A Work problems involving positive integer exponents A Determine when an expression is undefined A Determine the slope of a line from an equation AF Solve word problems containing several rates, proportions, or percentages AF Interpret and use information from graphs in the coordinate plane AF Given an equation or function, find an equation or function whose graph is a translation by a specified amount up or down A Manipulate expressions and equations A Solve linear inequalities when the method involves reversing the inequality sign A Match linear inequalities with their graphs on the number line A Solve systems of two linear equations A Solve quadratic equations A Solve absolute value equations AF Analyze and draw conclusions based on information from graphs in the coordinate plane AF Given an equation or function, find an equation or function whose graph is a translation by specified amounts in the horizontal and vertical directions A Solve simple absolute value inequalities A Match simple quadratic inequalities with their graphs on the number line A Apply the remainder theorem for polynomials, that P a is the remainder when P x is divided by x — a Topics in the flow to Solve problems in one or two steps using whole numbers and using decimals in the context of money F Extend a given pattern by a few terms for patterns that have a constant increase or decrease between terms AF Extend a given pattern by a few terms for patterns that have a constant factor between terms AF Evaluate linear and quadratic functions, expressed in function notation, at integer values AF Match linear equations with their graphs in the coordinate plane F Evaluate polynomial functions, expressed in function notation, at integer values F Find the next term in a sequence described recursively F Build functions and use quantitative information to identify graphs for relations that are proportional or linear F Attend to the difference between a function modeling a situation and the reality of the situation F Understand the concept of a function as having a well-defined output value at each valid input value F Understand the concept of domain and range in terms of valid input and output, and in terms of function graphs F Interpret statements that use function notation in terms of their context F Find the domain of polynomial functions and rational functions F Find the range of polynomial functions F Use function notation for simple functions of two variables AF Given an equation or function, find an equation or function whose graph is a translation by a specified amount up or down F Relate a graph to a situation described qualitatively in terms of faster change or slower change F Build functions for relations that are inversely proportional F Find a recursive expression for the general term in a sequence described recursively F Evaluate composite functions at integer values AF Given an equation or function, find an equation or function whose graph is a translation by specified amounts in the horizontal and vertical directions F Compare actual values and the values of a modeling function to judge model fit and compare models F Build functions for relations that are exponential F Exhibit knowledge of geometric sequences F Exhibit knowledge of unit circle trigonometry F Match graphs of basic trigonometric functions with their equations F Use trigonometric concepts and basic identities to solve problems F Exhibit knowledge of logarithms F Write an expression for the composite of two simple functions Topics in the flow to Estimate the length of a line segment based on other lengths in a geometric figure G Exhibit some knowledge of the angles associated with parallel lines G Compute the perimeter of polygons when all side lengths are given G Compute the area of rectangles when whole number dimensions are given G Locate points in the first quadrant G Use properties of parallel lines to find the measure of an angle G Compute the area and perimeter of triangles and rectangles in simple problems G Use geometric formulas when all necessary information is given G Locate points in the coordinate plane G Translate points up, down, left, and right in the coordinate plane G Use several angle properties to find an unknown angle measure G Count the number of lines of symmetry of a geometric figure G Use symmetry of isosceles triangles to find unknown side lengths or angle measures G Recognize that real-world measurements are typically imprecise and that an appropriate level of precision is related to the measuring device and procedure G Compute the perimeter of simple composite geometric figures with unknown side lengths G Compute the area of triangles and rectangles when one or more additional simple steps are required G Compute the area and circumference of circles after identifying necessary information G Given the length of two sides of a right triangle, find the third when the lengths are Pythagorean triples G Express the sine, cosine, and tangent of an angle in a right triangle as a ratio of given side lengths G Determine the slope of a line from points or a graph G Find the midpoint of a line segment GSelf-assess strategies they will add. 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