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Mathematics

SAT Review of Number and Operations

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Overview The SAT Mathematics test includes both multiple-choice questions and questions that require a written numerical answer. Students’ mathematical reasoning is assessed in separate areas of number and operations; algebra and functions; geometry and measurement; data analysis; probability and statistics. These areas follow the guidelines set by the National Council for Teachers of Mathematics, and…

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SAT Review of Algebra and Functions

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Overview Students taking the SAT Mathematics test are assessed on areas such as number and operations, algebra and functions, geometry and measurement, data analysis, and probability and statistics. The Algebra and Functions strand includes operations on algebraic expressions, solving equations and inequalities, quadratic equations, rational systems of linear equations and inequalities, direct and inverse variation,…

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SAT Review of Data Analysis

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Overview The SAT Mathematics test questions assess different areas of mathematical knowledge and application such as number and operations, algebra and functions, geometry and measurement, probability and statistics, and data analysis. Data analysis questions address students’ ability to interpret information presented in tables, graphs, and charts, recognize change and trends, and analyze change by performing…

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SAT Review of Probability and Statistics

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Overview Probability and statistics concepts are tested as one of the strands of SAT Mathematics. Topics include measures of central tendency such as mean, median, and mode; elementary probability; and geometric probability. The test doesn’t contain long calculations of standard deviation or other statistical measurements. Why Statistics? Probability and statistics concepts are often combined with…

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SAT Review of Geometry and Measurement

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Overview Students taking the SAT Mathematics test are assessed on areas such as number and operations, algebra and functions, geometry and measurement, data analysis, and probability and statistics. The Geometry and Measurement strand covers topics such as geometric notation, concepts such as points, lines, and angles in the plane. Geometric figures such as triangles, quadrilaterals,…

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Math Review of Binomial Distributions

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Overview A binomial experiment  has a fixed number of independent trials, and each trial has only two possible outcomes.  Each of the trials has the same probability of success.  The probability distribution is called a binomial distribution. What Types of Problems Are Binomial? All the characteristics of a binomial experiment are present, then the distribution…

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Properties of Probability

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Overview: Probability is the measure of the likelihood of an event.  The basic mathematics of probability theory started with games of chance, but it can be applied to many situations, from weather forecasting to politics.  Probabilities range from 0 (no likelihood) to 1 (certainty), and are expressed as rational numbers. What Is the Sample Space?…

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Math Review of Random Numbers

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Overview:  What Are Random Numbers? In a set of random numbers, the numbers do not follow any pattern.  Each number has an equal probability of occurring, and each number event is independent of any others .  Most of the time, numbers that are close to random are generated by computer programs or calculator programs designed…

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Measures of Central Tendency: Mean, Median, and Mode

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Overview:  What Are Measures of Central Tendency? Measures of central tendency represent the most typical score or value in a group of scores on some measure in either a population or a sample of that population.  Along with measures of variability, they convey much information about a distribution.  The three most common measurements are the…

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Review of Solid Geometry on the SAT and ACT

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Overview:  What Is Solid Geometry? Solid geometry was developed after plane geometry as a way to describe the three-dimensional world and the objects in it.  In the ideal three-dimensional world, objects exist with faces and angles, depth and volume.  Objects are regular, or consist of a combination of regular objects, just as two-dimensional figures can…

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