portspicy.blogg.se - Limits in calculus khan academy

lines shown as straight are actually straight.

Don’t assume quantities such as lengths and angle measures are as they appear in a figure.

Geometric figures, such as lines, circles, triangles, and quadrilaterals, are not necessarily drawn to scale.

All figures are assumed to lie in a plane unless otherwise indicated.

In addition to conventions, there are some important assumptions about numbers and figures that are listed in the Quantitative Reasoning section directions: Whenever nonstandard notation is used in a question, it is explicitly introduced in the question. For example, the positive direction of a number line is to the right, distances are nonnegative and prime numbers are greater than 1. The mathematical symbols, terminology and conventions used in the Quantitative Reasoning measure are standard at the high school level.

The Math Review (PDF) provides detailed information about the content of the Quantitative Reasoning measure. It doesn’t include trigonometry, calculus or other higher-level mathematics. The content in these areas includes high school mathematics and statistics at a level that is generally no higher than a second course in algebra. These topics are typically taught in high school algebra courses or introductory statistics courses. counting methods, such as combinations, permutations and Venn diagrams.random variables and probability distributions, including normal distributions.elementary probability, such as probabilities of compound events and independent events.interpretation of data in tables and graphs, such as line graphs, bar graphs, circle graphs, boxplots, scatterplots and frequency distributions.basic descriptive statistics, such as mean, median, mode, range, standard deviation, interquartile range, quartiles and percentiles.The ability to construct proofs is not tested.

triangles, including isosceles, equilateral and 30°-60°-90° triangles.coordinate geometry, including graphs of functions, equations and inequalities, intercepts and slopes of lines.setting up equations to solve word problems.solving simultaneous equations and inequalities.solving linear and quadratic equations and inequalities.relations, functions, equations and inequalities.factoring and simplifying algebraic expressions.concepts such as estimation, percent, ratio, rate, absolute value, the number line, decimal representation and sequences of numbers.arithmetic operations, exponents and roots.properties and types of integers, such as divisibility, factorization, prime numbers, remainders and odd and even integers.The skills, concepts and abilities are assessed in the four content areas below. Many of the questions are "word problems," which must be translated and modeled mathematically. Some of the Quantitative Reasoning questions are posed in real-life settings, while others are posed in purely mathematical settings.