Course Description
Introductory topics in statistics, probability, geometry (including shapes, congruence, relationships, constructions, and the Pythagorean theorem), and measurement are studied. This course may be used to satisfy one of the two mathematics requirements for an associate in science degree in Elementary Education.
Prerequisite(s)
MATH 1613 with a grade of C or better
IAI Number
M1-903
IAI Title
Math for Elementary Teaching I
Topical Outline
- Real Numbers
- Variables
- Equations
- Functions
- Equations in a Coordinate System
- Determining Probabilities
- Multistage Experiments and Modeling Games
- Simulations and Applications in Probability
- Permutations and Combinations in Probability
- Designing Experiments/Collecting Data
- Displaying Data: Pictographs, Stem and Leaf, Dot Plots, Circle Graphs, Histograms, Bar Graphs
- Line Graphs, Scatterplots, Choosing Data Displays
- Measures of Central Tendency
- Abuses of Statistics
- Introductory Geometry
- Curves, Polygons, and Symmetry
- More about Angles
- Geometry in Three Dimensions
- Congruence Through Constructions (SSS, SAS)
- Additional Congruence Theorems (ASA)
- Similar Triangles and Other Similar Figures
- Linear Measure
- Area of Polygons and Circles
- The Pythagorean Theorem, Distance Formula and Equation of a Circle
- Surface Areas
- Volume, Mass, Temperature
At the end of this course, students will be able to:
- Use the mathematical processes and give examples of what they can be used to do (applications, problem solving, understanding skill, concrete pictorial abstract measurement and number systems of geometry).
- Perform operations with integers, rational numbers and real numbers, with an introduction to algebra, statistics, probability, geometric shape and geometric using coordinates.