Patterns, Functions & Algebra
 Kindergarten

#### Core Ideas

• Understand patterns and use mathematical models to represent and understand qualitative and quantitative relationships.
• Sort, classify, and order objects by size, number, and other properties.
• Recognize, describe, and extend patterns of sound, shape, or number.
• Model change qualitatively, such as students growing taller or the weather turning colder.

#### Core Ideas

• Understand patterns and use mathematical models to represent and understand qualitative and quantitative relationships.
• Describe and extend patterns of sound, shape, or number and translate from one representation to another.
• Describe and extend growing as well as repeating patterns.
• Use the general principles and properties of operations, such as commutativity, with specific numbers.
• Model problem situations using objects, pictures, and symbols
• Describe change qualitatively, such as students growing taller or the weather turning colder.

#### Core Ideas

• Understand patterns and use mathematical models to represent and understand qualitative and quantitative relationships.
• Describe, extend, and create patterns of sound, shape, and number and translate from one representation to another.
• Describe, extend, and create growing as well as repeating patterns.
• Compare principles and properties of operations, such as commutativity, between addition and subtraction.
• Use concrete, pictorial, and verbal representations to develop an understanding of symbolic notations.
• Describe change quantitatively such as a student's growing two inches in one year.

Building Walls

#### Core Ideas

• Understand patterns and use mathematical models to represent and to understand qualitative and quantitative relationships.
• Describe and extend geometric and numeric patterns.
• Represent and analyze patterns using words and/or tables.
• Illustrate general principles and properties of operations, such as commutativity, using specific numbers.
• Use concrete, pictorial, and verbal representations to develop an understanding of invented and conventional symbolic notations.
• Model problem situations with objects and use representations such as graphs and tables to draw conclusions.
• Describe qualitative change (such as students growing taller).
• Describe quantitative change (such as a student's growing two inches in one year).
• Solve simple problems involving a functional relationship (two quantities which vary together, like finding the total cost of multiple items when you know the cost of one).

Blob Bugs

#### Core Ideas

• Understand patterns and use mathematical models to represent and to understand qualitative and quantitative relationships.
• Represent and analyze patterns and functions using words, tables, and graphs.
• Find the results of a rule for a specific value.
• Use inverse operations to solve multi-step problems.
• Use concrete, pictorial, and verbal representations to solve problems involving unknowns.
• Understand and use the concept of equality.

Roger's Rabbits

#### Core Ideas

• Understand patterns and use mathematical models such as algebraic symbols and graphs to represent and understand quantitative relationships.
• Represent the idea of a variable as an unknown quantity using a letter or a symbol.
• Express mathematical relationships using equations and graph them on a coordinate grid.
• Investigate how a change in one variable relates to a change in a second variable.
• Identify and describe situations with constant and varying rates of change and compare them.
• Understand and use properties of operations, such as the distributive property of multiplication over addition.