I. General Information
1. Course Title:
Math for Elementary Teachers II
2. Course Prefix & Number:
MATH 1512
3. Course Credits and Contact Hours:
Credits: 3
Lecture Hours: 3
Lab Hours: 0
4. Course Description:
This is the second of two math courses providing a background for teaching in the elementary school. It emphasizes the use of mathematics manipulatives for modeling the basic operations. Topics will include decimals, percents, topology, transformations, geometry, discrete mathematics, probability, and statistics.
5. Placement Tests Required:
6. Prerequisite Courses:
MATH 1512  Math for Elementary Teachers II
There are no prerequisites for this course.
9. Corequisite Courses:
MATH 1512  Math for Elementary Teachers II
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
Name of Institution 
Course Number and Title 
Credits 
Ridgewater College 
MATH 211: Introduction to Modern Mathematics II 
3 
Bemidji State University 
MATH 1013: Math for Elem School Teachers II 
3 
III. Course Purpose
Other  If this course is not required in a program or is not part of the MN Transfer Curriculum, it may be used for the purpose(s) listed below:
Liberal Arts Elective
IV. Learning Outcomes
1. CollegeWide Outcomes
CollegeWide Outcomes/Competencies 
Students will be able to: 
Assess alternative solutions to a problem 
Apply higherorder problemsolving and/or modeling strategies. 
Analyze and follow a sequence of operations 
Explain what constitutes a valid mathematical argument. 
Apply abstract ideas to concrete situations 
Clearly express mathematical/logical ideas in writing. 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
Expected Outcome 
MnTC Goal Area 
Identify and justify observed patterns. 

Generate patterns to demonstrate a variety of relationships. 

Relate patterns in one strand of mathematics to patterns across the discipline. 

Demonstrate an understanding of the properties and relationships of geometric figures. 

Demonstrate an understanding of geometry and measurement from both abstract and concrete perspectives and identify real world applications. 

Use geometric learning tools such as geoboards, compass and straightedge, ruler, protractor, patty paper, reflection tools, spheres, and platonic solids. 

Use a variety of conceptual and procedural tools for collecting, organizing, and reasoning about data. 

Interpret and draw inferences from data and make decisions in applied problem situations. 

Aid students in the understanding of quantitative and qualitative approaches to answering questions and developing their abilities to communicate mathematically. 

Use probability as a way of describing change in simple and compound events. 

Demonstrate an understanding of the role of randomness and sampling in experimental studies. 

Reason mathematically, solve problems, and communicate mathematics effectively at different levels of formality. 

Demonstrate an understanding of how to integrate technological and nontechnological tools with mathematics. 

Demonstrate an understanding of the relationship between mathematics and other fields. 

Demonstrate an understanding of and apply problem solving, reasoning, communication, and connections. 

V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
 Proportional Reasoning
 The Concept of Ratio
 Proportional Variation and Solving Proportions
 Solving Percent Problems
 Finding Simple and Compound Interest
 Analyzing Data
 Types of Data Displays
 Data Displays that Show Relationships
 Describing the Average and Spread of Data
 Decision Making with Data
 Probability
 Understanding Probability
 Connecting Probability to Models and Counting
 Simulations
 Odds and LongTerm Behavior
 Random Variables and Probability Distributions
 Permutations and Combinations
 Introducing Geometry
 Basic Ideas of Geometry
 More About Points, Segments, and Lines
 More About Angles
 More About Triangles
 More About Quadrilaterals
 Extending Geometry
 Transformations
 Geometric Patterns
 Special Polygons
 ThreeDimensional Figures
 Measurement
 The Concept of Measurement
 Measuring the Perimeter and Area of Polygons
 Measuring the Surface Area and Volume of Solids
 Exploring Ideas of Algebra and Coordinate Geometry
 Variables, Expressions, and Equations
 Solving Equations
 Exploring Graphs of Linear Equations
 Connecting Algebra and Geometry
I. General Information
1. Course Title:
Math for Elementary Teachers II
2. Course Prefix & Number:
MATH 1512
3. Course Credits and Contact Hours:
Credits: 3
Lecture Hours: 3
Lab Hours: 0
4. Course Description:
This is the second of two math courses providing a background for teaching in the elementary school. It emphasizes the use of mathematics manipulatives for modeling the basic operations. Topics will include decimals, percents, topology, transformations, geometry, discrete mathematics, probability, and statistics.
5. Placement Tests Required:
6. Prerequisite Courses:
MATH 1512  Math for Elementary Teachers II
There are no prerequisites for this course.
9. Corequisite Courses:
MATH 1512  Math for Elementary Teachers II
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
Name of Institution 
Course Number and Title 
Credits 
Ridgewater College 
MATH 211: Introduction to Modern Mathematics II 
3 
Bemidji State University 
MATH 1013: Math for Elem School Teachers II 
3 
III. Course Purpose
3. Other  If this course does NOT meet criteria for #1 or #2 above, it may be used for the purpose(s) selected below:
Liberal Arts Elective
IV. Learning Outcomes
1. CollegeWide Outcomes
CollegeWide Outcomes/Competencies 
Students will be able to: 
Analyze and follow a sequence of operations 
Explain what constitutes a valid mathematical argument. 
Apply abstract ideas to concrete situations 
Clearly express mathematical/logical ideas in writing. 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
Expected Outcome 
MnTC Goal Area 
Identify and justify observed patterns. 

Generate patterns to demonstrate a variety of relationships. 

Relate patterns in one strand of mathematics to patterns across the discipline. 

Demonstrate an understanding of the properties and relationships of geometric figures. 

Demonstrate an understanding of geometry and measurement from both abstract and concrete perspectives and identify real world applications. 

Use geometric learning tools such as geoboards, compass and straightedge, ruler, protractor, patty paper, reflection tools, spheres, and platonic solids. 

Use a variety of conceptual and procedural tools for collecting, organizing, and reasoning about data. 

Interpret and draw inferences from data and make decisions in applied problem situations. 

Aid students in the understanding of quantitative and qualitative approaches to answering questions and developing their abilities to communicate mathematically. 

Use probability as a way of describing change in simple and compound events. 

Demonstrate an understanding of the role of randomness and sampling in experimental studies. 

Reason mathematically, solve problems, and communicate mathematics effectively at different levels of formality. 

Demonstrate an understanding of how to integrate technological and nontechnological tools with mathematics. 

Demonstrate an understanding of the relationship between mathematics and other fields. 

Demonstrate an understanding of and apply problem solving, reasoning, communication, and connections. 

V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
 Proportional Reasoning
 The Concept of Ratio
 Proportional Variation and Solving Proportions
 Solving Percent Problems
 Finding Simple and Compound Interest
 Analyzing Data
 Types of Data Displays
 Data Displays that Show Relationships
 Describing the Average and Spread of Data
 Decision Making with Data
 Probability
 Understanding Probability
 Connecting Probability to Models and Counting
 Simulations
 Odds and LongTerm Behavior
 Random Variables and Probability Distributions
 Permutations and Combinations
 Introducing Geometry
 Basic Ideas of Geometry
 More About Points, Segments, and Lines
 More About Angles
 More About Triangles
 More About Quadrilaterals
 Extending Geometry
 Transformations
 Geometric Patterns
 Special Polygons
 ThreeDimensional Figures
 Measurement
 The Concept of Measurement
 Measuring the Perimeter and Area of Polygons
 Measuring the Surface Area and Volume of Solids
 Exploring Ideas of Algebra and Coordinate Geometry
 Variables, Expressions, and Equations
 Solving Equations
 Exploring Graphs of Linear Equations
 Connecting Algebra and Geometry