Michigan’s Mathematics
Curriculum Framework

1.     Patterns, Relationships and Functions 

1.1a	Patterns	Recognize Similarities & Generalize Patterns
1.1b	Patterns	Use Patterns to Create Models & Make Predictions
1.1c	Patterns	Describe the Nature of Patterns & Relationships
1.1d	Patterns	Construct Representations of Mathematical Relationships
1.2a	Variability & Change	Describe Relationships among Variables
1.2b	Variability & Change	Predict what will happen to one variable as another variable is changed
1.2c	Variability & Change	Analyze Natural Variation & Sources of Variability
1.2d	Variability & Change	Compare Patterns of Change

 

2.     Geometry and Measurement 

2.1a	Shape & Shape Relationships	Develop Spatial Sense
2.1b	Shape & Shape Relationships	Use Shape as an analytic and Descriptive Tool
2.1c	Shape & Shape Relationships	Identify Characteristics & Define Shapes
2.1d	Shape & Shape Relationships	Identify Properties & Describe Relationships among Shapes
2.2a	Position	Identify Locations of Objects
2.2b	Position	Identify Location relative to other Objects
2.2c	Position	Describe the effects of Transformations on an Object
2.3a	Measurement	Compare Attributes of Two Objects or of One Object and a Standard (unit)
2.3b	Measurement	Analyze Situations to Determine what Measurement(s) should be made and to what level of Precision

   

    3.     Data Analysis and Statistics 

3.1a	Collection, Organization & Presentation of Data	Collect & Explore Data
3.1b	Collection, Organization & Presentation of Data	Organize Data into a Useful Form
3.1c	Collection, Organization & Presentation of Data	Develop Skill in Representing and Reading Data Displayed in Different Formats
3.2a	Description & Interpretation	Examine Data & Describe Characteristics of a Distribution
3.2b	Description & Interpretation	Relate Date to the Situation from which they arose
3.2c	Description & Interpretation	Use Data to Answer Questions Convincingly and Persuasively
3.3a	Inference & Prediction	Draw Defensible Inferences about Unknown Outcomes
3.3b	Inference & Prediction	Make Predictions
3.3c	Inference & Prediction	Identify the Degree of Confidence they have in their Predictions

   

    4.     Number Sense and Numeration 

4.1a	Concepts & Properties of Numbers	Experience Counting and Measuring  Activities to Develop Intuitive Sense about Numbers
4.1b	Concepts & Properties of Numbers	Develop Understanding about Properties of Numbers
4.1c	Concepts & Properties of Numbers	Understand the Need for and Existence of Different Sets of Numbers
4.1d	Concepts & Properties of Numbers	Investigate Properties of Special Numbers
4.2a	Representation & Uses of Numbers	Recognize that Numbers are Used in Different Ways such as Counting, Measuring, Ordering, and Estimating
4.2b	Representation & Uses of Numbers	Understand and Produce Multiple Representations of a Number
4.2c	Representation & Uses of Numbers	Translate among Equivalent Representations
4.3a	Number Relationships	Investigate Relationships such as Equality, Inequality, Inverses, Factors and Multiples
4.3b	Number Relationships	Represent and Compare very large and very small Numbers

 

5.     Numerical and Algebraic Operations and Analytical Thinking 

5.1a	Operations & Properties	Understand and Use Various types of Operations (addition, subtraction, multiplication, division) to Solve Problems
5.2a	Algebraic & Analytic Thinking	Analyze Problems to Determine an Appropriate Process for Solution
5.2b	Algebraic & Analytic Thinking	Use Algebraic Notations to Model or Represent Problems

   

    6.     Probability and Discrete Mathematics 

6.1a	Probability	Develop an Understanding of the Notion of Certainty and of Probability as a Measure of the Degree of Likelihood that can be assigned to a given Event based on the Knowledge Available
6.1b	Probability	Make Critical Judgments about Claims that are made in Probabilistic Situations
6.2a	Discrete Mathematics	Investigate Practical Situations such as Scheduling, Routing, Sequencing, Networking, Organizing and Classifying
6.2b	Discrete Mathematics	Analyze Ideas like Recurrence Relations, Induction, Iteration, and Algorithm Design