• Recognize, describe, copy, extend, and create simple patterns with real objects and through pictures
• Identify patterns in their environment
• Investigate patterns and describe relationships
• Recognize patterns in various formats (e.g., things that can be seen, heard, felt)

• Begin to develop writing skills to communicate and express themselves for a variety of purposes
• Begin to develop an understanding of purposes for writing

• Explore number patterns
• Count, write, and order numbers
• Compose and decompose numbers

• Contribute to a class research project by adding relevant information to a class book, including gathering information from teacher-selected resources and using the writing process to develop projects

• Count, write, and order numbers
• Add and subtract whole numbers

• Use a teacher-selected topic to write one research question
• Locate and begin to gather information from teacher-selected resources
• Organize the information and use the writing process to develop a project

• Count, write, and order whole numbers
• Understand place value
• Add and subtract whole numbers
• Understand meaning of multiplication and division
  

• Use the writing process to produce and present a research project
• Develop two research questions from content area text from a teacher-selected topic
• Gather electronic or print resources and organize the information using key ideas with teacher assistance

• Count in steps and understand even and odd numbers
• Understand and use number notation and place value
• Multiply and divide whole numbers
  

• Use the writing process to produce and present a research project
• Initiate research questions from content area text from a teacher-selected topic
• Use a variety of resources to gather and organize information

• Understand and use
  number notation and place value
• Multiply and divide whole numbers
• Multiply fractions by whole numbers

• Use the writing process to produce and present a research project using a teacher-approved topic
• Find and narrow research questions
• Use a variety of resources
• Take notes
• Organize relevant information to draw conclusions

• Multiply and divide by powers of ten
• Express, interpret, and use ratios; find equivalences

• Use the writing process to produce and present a research project
• Use a variety of resources to gather and organize relevant information into central ideas and supporting details for a teacher-approved narrowed focus question and hypothesis

• Calculate rates
• Represent linear functions using tables, equations, and graphs

• Formulate research questions using multiple resources and perspectives that allow them to organize, analyze, and explore problems and pose solutions that culminate in a final presented project using the writing process

• Understand and apply directly proportional relationships and relate to linear relationships
• Understand and represent linear functions

• Formulate research questions using multiple resources, perspectives, and arguments/counter-arguments to develop a thesis statement that culminates in a final presented project using the writing process

• Understand the concept of non-linear functions using basic examples
• Understand and represent quadratic functions

• Formulate research questions that demonstrate critical evaluation of multiple resources, perspectives, and arguments/counter-arguments that culminate in a presented final project using the writing process

• Understand functions, their representations, and their attributes
• Perform transformations, combine and compose functions, and find inverses
• Classify functions and know characteristics of each family
• Work with functions with real coefficients fluently

• Develop and extend a thesis, argument, or exploration of a topic by analyzing differing perspectives and employing a structure that effectively conveys the ideas in writing

President Establishes National Advisory Panel on Math, The Achiever, June 2006

Mathematics Curriculum Standards, Homework Help, and Instructional Resources, Michigan Department of Education

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