Patterns, Functions & Algebra
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.
MARS Tasks
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).
MARS Tasks
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 multistep problems.
 Use concrete, pictorial, and verbal representations to solve problems involving unknowns.
 Understand and use the concept of equality.
MARS Tasks
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.
MARS Tasks
Buttons
Pea Soup





