Math Claim 1: Students demonstrate increasingly complex understanding of number sense

Composing, Decomposing, and Comparing Numbers
This module focuses on composing, decomposing, and comparing numbers and how these concepts support students understanding of addition, subtraction, multiplication, and division. 
Online Self-directed Composing, Decomposing, and Comparing Numbers Module
Group Facilitated Module Materials for Composing, Decomposing, and Comparing Numbers

Counting and Cardinality
This self-directed module provides an introduction to the domain of counting and cardinality. It includes information regarding research-based instructional approaches and their application to students with significant cognitive disabilities. 
Online Self-directed Counting and Cardinality Module
Group Facilitated Module Materials for Counting and Cardinality

Calculating Accurately with Addition
This module will help participants to support student learning of addition facts, the properties of addition, and the use of manipulatives for students with physical barriers. 
Online Self-directed Addition Module
Group Facilitated Module Materials for Addition

Calculating Accurately with Division
Participants will learn how other mathematical operations play a role in learning division as well as gain greater understanding of the importance of receptive and expressive language in communicating about division.  Two types of division, sharing and grouping, will also be discussed. 
Online Self-directed Division Module
Group Facilitated Module Materials for Division

Calculating Accurately with Multiplication
Participants of this module will learn how repeated addition and arrays support understanding of multiplication, will use multiple representations to model multiplication, and how the properties of multiplication help to support student understanding. The big ideas in multiplication will also be addressed. 
Online Self-directed Multiplication Module
Group Facilitated Module Materials for Multiplication

Calculating Accurately with Subtraction
In this module, participants will make connections between addition and subtraction, as well as learn subtraction strategies, structures, and properties. 
Online Self-directed Subtraction Module
Group Facilitated Module Materials for Subtraction

Forms of Number
This module focuses on three representational forms of number concrete quantity, pictorial quantity, and symbol and numeral quantity and how all three of these forms support a student in developing number sense. 
Online Self-directed Forms of Number Module
Group Facilitated Module Materials for Forms of Number

Fraction Concepts and Models Part I
The module provides an overview of the instructional concepts that lead to a foundational understanding of fractions. 
Online Self-directed Fractions 1 Module
Group Facilitated Module Materials for Fractions 1

Fraction Concepts and Models Part II
Description: The module provides information on how to apply the knowledge from Fraction Concepts and Models Part I to students with significant cognitive disabilities. 
Online Self-directed Fractions 2 Module
Group Facilitated Module Materials for Fractions 2

Place Value
The module connects recognizing a unit to place value and explains the beginning knowledge set needed for place value understanding. 
Online Self-directed Place Value Module
Group Facilitated Module Materials for Place Value

The Power of Ten-Frames
This self-directed module focuses on the use of a ten frame as a tool to help students develop an understanding of base-ten as well as composing and decomposing. 
Online Self-directed Ten-Frames Module
Group Facilitated Module Materials for Ten-Frames

Unitizing
The module focuses on understanding units or groupings to help students develop a strategic use of units to deal with quantities and problem solving. 
Online Self-directed Unitizing Module
Group Facilitated Module Materials for Unitizing

Units and Operations
This module presents the idea of unit as a foundational understanding that impacts student understanding of groupings, place value, and operations in algebraic, geometric and fractional thinking.
Online Self-directed Units and Operations Module
Group Facilitated Module Materials for Units and Operations