MAT 119 - Mathematics for Elementary Education I
An exploration of order of operations, fractions, equations of a single variable, graphing lines; visual display of data using charts and graphs, descriptive statistics, data analysis, hypothesis testing; area and perimeter of plane figures, volume and surface area of solids. Students are expected to explain the material as though to a target audience. Course uses a project-based instruction methodology. Intended only for elementary education majors, this course is the first course in a two course sequence (with MAT 120) for completion of SUNY General Education Math requirement.
Prerequisite: MAT 092 Foundations for College Math II or MAT 093 Integrated Arithmetic and Basic Algebra
3 Class Hours
Learning Outcomes of the Course:
Upon successful completion of this course the student will be able to:
1. Add, subtract, multiply, divide rational numbers, and explain why the basic arithmetic operations of fractions work.
2. Evaluate arithmetic expressions according to the algebraic hierarchy.
3. Adding, subtracting and multiplying polynomials.
4. Solve equations of a single variable.
5. Solve literal equations of a single variable.
6. Define and graph a linear function of a single variable.
7. Identify, interpret, and discuss line charts, bar charts, line graphs, and pie charts.
8. Construct line charts, line graphs, and bar charts.
9. Relate a shape to its place in the geometric hierarchy.
10. Identify various quadrilaterals and triangles.
11. Use formulas to calculate the perimeter and area of various polygons.
12. Use formulas to calculate the circumference and area of a circle.
13. Use the Pythagorean Theorem.
14. Calculate the perimeter of simple and compound planar regions.
15. Use formulas to calculate the surface area and volume of a cone, a cylinder, a prism and a sphere.
16. Calculate the volume and surface area of simple and compound solids.
17. Solve application problems involving area, perimeter, surface area and volume.
18. Explain the difference between central tendency and dispersion.
19. Calculate the mean, weighted mean, median, and mode and recognize the appropriate use of same to help describe a data set.
20. Calculate percentiles and relate them to a set of data.
21. Calculate the range and standard deviation for a set of data and recognize these as measures of dispersion.
22. Explain what a z-score measures and calculate the z-score for a given score.
23. Test a hypothesis about the mean of a population.
24. Complete and present projects.
25. Participate in cooperative learning activities.
This course prepares students to meet the Mathematics General Education requirement.
In context of the course objectives listed above, upon successful completion of this course the student will be able to:
1. Interpret and draw inferences from mathematical models such as formulas, graphs, tables and schematics.
2. Represent mathematical information symbolically, visually, numerically and verbally.
3. Employ quantitative methods such as arithmetic, algebra, geometry, or statistics to solve problems.
4. Estimate and check mathematical results for reasonableness.
5. Recognize the limitations of mathematical and statistical methods.
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