MATH 141 - Mathematics for Elementary Teachers

1. Apply place value concepts including writing and reading numbers, rounding decimals, and using place value models.
2. Convert numbers to and from various bases to develop an understanding of place value and base ten characteristics. Add and subtract within a base other than ten to develop an understanding of regrouping.
3. Compare integers, decimals, and fractions through various methods including plotting on a number line and using inequality symbols.
4. Identify and demonstrate properties including associative, commutative, identity, inverse, and distributive properties.
5. Apply reasoning, patterns, and properties to describe relationships within single digit addition and multiplication facts.
6. Identify and model the operations using various approaches such as join, separate, comparison, missing addend, repeated addition, arrays, repeated subtraction and partitioning.
7. Explain and demonstrate the procedures for standard and alternative algorithms with whole numbers such as partial sums, partial products, and lattice multiplication.
8. Use whole numbers and integer exponents and apply the order of operations to perform computations with fractions, decimals and integers.
9. Apply mental math techniques for computation.
10. Model, explain, and solve problems using the basic concepts from number theory including divisibility tests, prime and composite numbers, prime factorization, GCF, and LCM.
11. Use a variety of models to explain and represent fractions, equivalent fractions and converting between mixed numbers and improper fractions.
12. Compare fractions through various methods including reasoning only, common denominators, and use of cross products.
13. Model addition, subtraction, multiplication and division of fractions (including mixed numbers) to explain the process and develop the algorithms.
14. Convert between fractions, decimals, and percentages by hand and determine whether the decimal representation of a fraction will terminate or repeat.
15. Explain reasoning, use estimation and apply a variety of models to represent decimal values and operations with decimals.
16. Distinguish between proportional and non-proportional situations and apply proportional reasoning to write and solve proportion problems including percent and scale factor applications.
17. Model operations with integers using two-color counters to develop an understanding of integer rules.
18. Write and solve real life application problems for whole numbers, fractions, decimals and integers.
19. Use manipulatives, math terminology and notation to develop a deeper understanding of topics studied, explain concepts, defend solutions and justify principles related to elementary mathematics.
20. Classify numbers as natural, whole, integer, rational, irrational, and real. Compare values between number groups including estimating square roots to the nearest whole number.
21. Use Venn Diagrams to solve problems involving union and intersection including the use of real life scenarios.

• Whole numbers, integers, rational numbers
• Estimation, place value, and mental math
• Standard and alternative algorithms
• Divisibility, prime and composite, LCM, GCF
• Proportions and percentages
• Modeling and real life application

 
Course Addendum - Syllabus (Click to expand)