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math117 Syllabus

math 117: Number Sense For PK-8 Teachers

Text: Mathematics for Elementary Teachers with Activities 5th Edition, by Sybilla Beckmann, McGraw Hill

Prerequisites: Minimum ACT math score of 19, or College Algebra with a grade of C or better, or MATH 107 with a grade of C or better. Restriction: Education majors only.

Course Description:

The content in this course aligns with that of K-8 schools, giving prospective teachers the knowledge of mathematics that they will need to effectively teach standards and content specified by both NCTM and CCSS.

Sections and Topics

  • 1.1 The Counting Numbers
  • 1.2 Decimals and Negative Numbers
  • 1.3 Reasoning to Compare Numbers in Base Ten
  • 1.4 Reasoning about Rounding
  • 2.1 Solving Problems and Explaining Solutions
  • 2.2 Defining and Reasoning About Fractions
  • 2.3 Reasoning About Equivalent Fractions
  • 2.4 Reasoning to Compare Fractions
  • 2.5 Reasoning About Percent
  • 3.1 Interpretations of Addition and Subtraction
  • 3.2 The Commutative and Associative Properties of Addition, Mental Math, and Single-Digit Facts
  • 3.3 Why the Standard Algorithms for Addition and Subtraction in Base Ten Work
  • 3.4 Reasoning About Fraction Addition and Subtraction
  • 3.5 Why We Add and Subtract with Negative Numbers the Way We Do
  • 4.1 Interpretations of Multiplication
  • 4.2 Why Multiplying by 10 Is Special in Base Ten
  • 4.3 The Commutative and Associative Properties of Multiplication, Areas of Rectangles, and Volumes of Boxes
  • 4.4 The Distributive Property
  • 4.5 Properties of Arithmetic, Mental Math, and Single-Digit Multiplication Facts
  • 4.6 Why the Standard Algorithm for Multiplying Whole Numbers Works
  • 5.1 Making Sense of Fraction Multiplication
  • 5.2 Making Sense of Decimal Multiplication
  • 5.3 Extending Multiplication to Negative Numbers
  • 5.4 Powers and Scientific Notation (Time Permitting)
  • 6.1 Interpretations of Division
  • 6.2 Division and Fractions and Divisions with Remainder
  • 6.3 Why Division Algorithms Work
  • 6.4 Fraction Division from the How-Many-Groups Perspective
  • 6.5 Fraction Division from the How-Many-Units-in-1-Group Perspective
  • 8.1 Factors and Multiples
  • 8.2 Even and Odd
  • 8.3 Divisibility Tests
  • 8.4 Prime Numbers
  • 8.5 Greatest Common Factor and Least Common Multiple

Last updated 12 October 2020.