MathContent.5.OA.B.3: : Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane.
Math.Content.5.NBT.A.1: : Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.
Math.Content.5.NBT.B.6: : Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
Math.Content.5.NBT.B.7: : Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
Math.Content.5.NF.A.1: : Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
Math.Content.5.NF.A.2: : Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
Math.Content.5.NF.B.3: : Interpret a fraction as division of the numerator by the denominator (a/b = a b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Math.Content.5.NF.B.4.b: : Find the area of a rectangle with fractional side lengths by tiling it with unit squares of the appropriate unit fraction side lengths, and show that the area is the same as would be found by multiplying the side lengths. Multiply fractional side lengths to find areas of rectangles, and represent fraction products as rectangular areas.
Math.Content.5.NF.B.5.b: : Explaining why multiplying a given number by a fraction greater than 1 results in a product greater than the given number (recognizing multiplication by whole numbers greater than 1 as a familiar case); explaining why multiplying a given number by a fraction less than 1 results in a product smaller than the given number; and relating the principle of fraction equivalence a/b = (n a)/(n b) to the effect of multiplying a/b by 1.
Math.Content.5.NF.B.7.c: : Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem.
Math.Content.5.MD.A.1: : Convert among different-sized standard measurement units within a given measurement system (e.g., convert 5 cm to 0.05 m), and use these conversions in solving multi-step, real world problems.
Math.Content.5.MD.C.5.a: : Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.
Math.Content.5.MD.C.5.b: : Apply the formulas V = l w h and V = b h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.
Math.Content.5.G.A.1: : Use a pair of perpendicular number lines, called axes, to define a coordinate system, with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., x-axis and x-coordinate, y-axis and y-coordinate).
Math.Content.5.G.A.2: : Represent real world and mathematical problems by graphing points in the first quadrant of the coordinate plane, and interpret coordinate values of points in the context of the situation.
MATH 003. Developmental Mathematics II.3-6-0. Prerequisite: C or better in MATH 002 or satisfactory score on placement test. The real numbers and their properties, linear equations and inequalities, systems of equations, polynomials, fractional expressions and equations, exponents and radicals, quadratic equations, and functions and their graphs. (Credit earned in this course cannot be applied toward a degree.) (32.0104)
MATH 100. College Algebra.5-3-4. Prerequisites: C or better in MATH 003 or C or better in MATH 115, or MATH ACT subscore of 19 or better or satisfactory score on placement test. Degree credit will be granted in only one of the following courses: Math 100, Math 101. Linear equations and inequalities, linear applications, systems of linear equations, quadratic equations and inequalities, absolute value equations and inequalities, radical equations, functions and graphs, polynomial and exponential and logarithmic functions. Credit in MATH 100 is equivalent to MATH 101. (27.0101)
MATH 101. College Algebra.3-2-3. Prerequisite: Grade of C or better in MATH 003, C or better in MATH 115, or Grade of D in MATH 100, or Math ACT Subscore of 21 or better, or satisfactory score on placement test. Linear equations and inequalities, linear applications, systems of linear equations, quadratic equations and inequalities, absolute-value equations and inequalities, radical equations, functions and graphs, polynomial and exponential and logarithmic functions. For MATH 101 WWW (web), priority is given to students enrolling in MATH 101 for the first time. Credit in MATH 100 is equivalent to MATH 101. (27.0101)
MATH 110. Mathematics for Elementary Teachers I. 3-3-0. Restricted to College of Education majors only. Prerequisite: C or better in MATH 100 or MATH 101. Logic and deductive reasoning; patterns, sequences, functions, and problem solving; introductory number theory; the real number system, informal and formal solutions of equations and inequalities. (27.0101)
MATH 116. Contemporary Mathematics and Quantitative Analysis I. 3-3-0. Coregistration is required in MATH 116L. Prerequisite: MATH ACT subscore of 18 or grade of C or better in MATH 002. Degree credit will be granted in only ONE of the following courses: MATH 116, MATH 117. This course applies basic college-level mathematics to real-llife problems and is appropriate for students whose majors do not require college algebra. This course covers selected topics in reasoning, data analysis, financial mathematics, measurement, and applications of mathematics to everyday problem-solving. Credit in MATH 116 is equivalent to MATH 117. (27.0101)
MATH 116L. Contemporary Mathematics and Quantitative Analysis I Lab. 2-0-3. Coregistration is required in MATH 116. A supplemental instruction/laboratory course to accompany MATH 116. S or U assigned upon completion of course. (Credit earned in this course cannot be applied toward a degree.) (27.0101)
MATH 117. Contemporary Mathematics and Quantitative Analysis I. 3-3-0. Prerequisite: Grade of C or better in MATH 003, or 115, grade of D or better in MATH 100 or 101, or MATH ACT subscore of 19 or better, or satisfactory score on placement test. Degree credit will be granted in only one of the following courses: MATH 116, MATH 117. This course applies basic college-level mathematics to real-life problems and is appropriate for students whose majors do not require college algebra. This course covers selected topics in reasoning, data analysis, financial mathematics, measurement, and applications of mathematics to everyday problem-solving. Credit in MATH 116 is equivalent to MATH 117. (27.0101)
MATH 301. Elementary Statistical Methods I. 3 3 0. Prerequisite: ENGL 102 and eligibility for MATH 165; or ENGL 102, and C or better in MATH 101, and C or better in at least one of MATH 102 or 106 or 108 or 214. Descriptive statistics, graphical presentation of data, trend and relationship, some probability distributions, central limit theorem, estimation, confidence interval, hypothesis testing, regression and correlation analyses, and non parametric tests. Emphasis on applications and statistical computer packages. Fa only. (27.0501)
MATH 313. Topics in Mathematics for the Humanities. 3-3-0. Prerequisite: Six hours of non-developmental MATH with C or better in each course. Selected mathematical excursions and topics in elementary number theory, algebra, geometry, and probability, with emphasis on liberal arts applications, appreciation, inductive thinking and discovery, mathematical modeling, patern recognition, current technology, and the history of mathematics. Class discussion and exercises. Especially for the non-mathematics major. (27.0101)
*MATH 402. Mathematical Statistics. 3-3-0. Prerequisites: C or better in Math 265, and C or better in MATH 401. Bivariate probability distributions, marginal and conditional distributions, conditional expectations, estimation, point estimators and methods of estimation, confidence interval, hypothesis testing, likelihood ratio tests, comparison of two means and two variances, linear models and estimation by method of least squares, non parametric tests. Sp only. (27.0501)
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