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Assessment_Guide_For_Educators_Math (Page 35)
35 Assessment Guide for Educators: Mathematical Reasoning Appendix A Mathematical Reasoning: Content Specifications 2002 Current Test Represent and use numbers in a variety of equivalent forms (integer, fraction, decimal, percent, exponential, and scientific) in real-world and mathematical problem situations. Q.1 .a Order fractions and decimals, including on a number line. Q.1 .c Apply rules of exponents in numerical expressions with rational exponents to write equivalent expressions with rational exponents. Q.3.d Solve two-step, arithmetic, real world problems involving percents. Examples include but are not limited to: simple interest, tax, markups and markdowns, gratuities and commissions, percent increase and decrease. Represent, analyze, and apply whole numbers, decimals, fractions, percents, ratios, proportions, exponents, roots, and scientific notation in a wide variety of situations. Q.1 .a Order fractions and decimals, including on a number line. Q.1 .b Apply number properties involving multiples and factors, such as using the least common multiple, greatest common factor, or distributive property to rewrite numeric expressions. Q.2.a Perform addition, subtraction, multiplication, and division on rational numbers. Q.2.b Perform computations and write numerical expressions with squares and square roots of positive, rational numbers. Q.2.c Perform computations and write numerical expressions with cubes and cube roots of positive, rational numbers. Q.2.e Solve one-step or multi-step arithmetic, real world problems involving the four operations with rational numbers, including those involving scientific notation. Q.3.c Solve multistep, arithmetic, real-world problems using ratios or proportions including those that require converting units of measure. Q.3.d Solve two-step, arithmetic, real world problems involving percents. Examples include but are not limited to: simple interest, tax, markups and markdowns, gratuities and commissions, percent increase and decrease. Recognize equivalencies and order relations for whole numbers, fractions, decimals, integers, and rational numbers. Q.1 .a Order fractions and decimals, including on a number line. Select the appropriate operations to solve problems (for example, When should I divide?). [Not assessed on the current test] Relate basic arithmetic operations to one another. [Not assessed on the current test] Calculate mentally, with pencil and paper, and with a scientific calculator using whole numbers, fractions, decimals, and integers. Q.2.a Perform addition, subtraction, multiplication, and division on rational numbers. Use estimation to solve problems and assess the reasonableness of an answer. [Not assessed on the current test] Model and solve problems using the concepts of perpendicularity, parallelism, congruence, and similarity of geometric figures. [Not assessed on the Current test] Use spatial visualization skills to describe and analyze geometric figures and translations/rotations/dilations of geometric figures. [Not assessed on the Current test] Use the Pythagorean theorem to model and solve problems. Q.4.e Use the Pythagorean theorem to determine unknown side lengths in a right triangle.