MATH 1102 - Elementary Topics in Mathematics II
This is a continuation of MATH 1101. Elementary Topics in Mathematics I and II develop mathematical topics usually taught in grades preK-5 to a depth required for future elementary educators (and related fields) to establish professional expertise. The courses are taught through an inquiry approach that focuses on problem solving and discussion. Key themes include 1) explaining and justifying standard and nonstandard algorithms for basic arithmetic operations learned in grades preK-5; 2) students’ construction and critique of their own ideas and others’ ideas; and 3) using manipulatives to represent and justify algorithms. Topics include ratios and proportional reasoning, foundations of number theory, algebraic reasoning, and measurement. Properties of two-dimensional and three-dimensional geometric objects are explored. Does not apply to Arts & Sciences Natural Science requirements.
Requisites: MATH 1101
Credit Hours: 3
General Education Code: 1M
Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.
Lecture/Lab Hours: 3.0 lecture
Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
- Students will be able to justify and explain the meaning of key concepts, and represent these concepts verbally, numerically, symbolically, and with concrete manipulatives.
- Students will be able to explain fundamental ideas of number theory, including divisors, factors, primes, prime factorization, composite numbers, greatest common factor, and least common multiple.
- Students will be able to use and explain quantitative reasoning and relationships that include ratio, rate, direct proportion, inverse proportion, and the use of units in problem situations.
- Students will be able to demonstrate proficiency in solving linear equations through both inverse operations and through alternative methods such as diagrams, and explain the relationships between these methods.
- Students will be able to use and convert between metric and U.S. customary units of measure of length, area, volume, weight, mass, and capacity, including choosing appropriate units for measurement, and describing the relationships between them.
- Students will be able to use and describe geometric measure in linear units, measures of area, surface area, volume, and additivity and invariance related to measurements.
- Students will be able to describe and use basic geometric objects in one, two, and three dimensions, such as line segments, lines, rays, angles, circles, arcs, polygons, polyhedral solids, cylinders, cones, and spheres.
- Students will be able to decompose 2D and 3D geometric objects into parts (e.g., a parallelogram into 2 triangles) and explain and justify properties of geometric objects.
- Students will be able to derive and explain the rationale behind formulas for perimeter, area, surface area, and volume of these two and three-dimensional figures.
- Students will be able to use and describe a variety of transformations & their properties (translations, rotations, reflections, glide reflections, dilations, compositions) and will express symmetry, congruence, and regularity in terms of transformations.
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