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Title: Mary, Mary, Don't Grow Weary, How does Your Garden Grow?
Description:
Students will use knowledge and skill in learning opportunities and investigations to develop a basic understanding of the process of creating patterns, recognizing pattern sequences, and will connect growing patterns to the five representations.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics (4)
Title: Mary, Mary, Don't Grow Weary, How does Your Garden Grow?
Description: Students will use knowledge and skill in learning opportunities and investigations to develop a basic understanding of the process of creating patterns, recognizing pattern sequences, and will connect growing patterns to the five representations.
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Title: Patterns, Patterns, Everywhere
Description:
An interactive lesson on teaching about patterns and finding patterns in the environment.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Standard(s): [MA2015] (3) 9: Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. [3OA9]
Subject: Mathematics (3  4)
Title: Patterns, Patterns, Everywhere
Description: An interactive lesson on teaching about patterns and finding patterns in the environment.
This lesson plan was created by exemplary Alabama Math Teachers through the AMSTI project.
Thinkfinity Lesson Plans
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Title: Shapes on the Way Home
Description:
This reproducible chart, from an Illuminations lesson, prompts students to search for and list shapes they find as they walk home from school. They record each shape's name, where it was found and whether it is a plane or solid figure.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Shapes on the Way Home
Description: This reproducible chart, from an Illuminations lesson, prompts students to search for and list shapes they find as they walk home from school. They record each shape's name, where it was found and whether it is a plane or solid figure. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Hopping on the Number Line
Description:
In this lesson, one of a multipart unit from Illuminations, students generate products using the number line model. The order property is also introduced. In the lesson, students are encouraged to predict the products and to answer puzzles involving multiplication.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Hopping on the Number Line
Description: In this lesson, one of a multipart unit from Illuminations, students generate products using the number line model. The order property is also introduced. In the lesson, students are encouraged to predict the products and to answer puzzles involving multiplication. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Repeating and Growing Patterns
Description:
In this lesson, one of a multipart unit from Illuminations, students create and explore more complex patterns such as growing patterns, which have related but different relationships to repeating patterns. Students form generalizations, analyze, and describe growing patterns using connectingcubes and then explore what happens when growing patterns double or split.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Repeating and Growing Patterns
Description: In this lesson, one of a multipart unit from Illuminations, students create and explore more complex patterns such as growing patterns, which have related but different relationships to repeating patterns. Students form generalizations, analyze, and describe growing patterns using connectingcubes and then explore what happens when growing patterns double or split. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Geometric Solids and Their Properties
Description:
In this fivelesson unit from Illuminations, students analyze characteristics and properties of threedimensional geometric shapes; develop mathematical arguments about geometric relationships; and use visualization, spatial reasoning, and geometric modeling to solve problems. After being introduced to shapes, they look for patterns, construct a solid, and build a shape jacket.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Geometric Solids and Their Properties
Description: In this fivelesson unit from Illuminations, students analyze characteristics and properties of threedimensional geometric shapes; develop mathematical arguments about geometric relationships; and use visualization, spatial reasoning, and geometric modeling to solve problems. After being introduced to shapes, they look for patterns, construct a solid, and build a shape jacket. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Looking for Patterns
Description:
This lesson, one of a multipart unit from Illuminations, focuses on the properties of multiplication. Students skip count, examine multiplication patterns, and explore commutativity.
Standard(s): [MA2015] (5) 3: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. [5OA3]
Subject: Mathematics Title: Looking for Patterns
Description: This lesson, one of a multipart unit from Illuminations, focuses on the properties of multiplication. Students skip count, examine multiplication patterns, and explore commutativity. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Understanding Distance, Speed, and Time Relationships
Description:
In this twolesson unit, from Illuminations, students use a software simulation of two runners along a track. Students can control the speeds and starting points of the runners, watch the race and examine a graph of the timeversusdistance relationship. They examine graphs of related data and investigate scenarios involving constant rates of change.
Standard(s): [MA2015] (5) 23: Use a pair of perpendicular number lines, called axes, to define a coordinate system with the intersection of the lines (the origin) arranged to coincide with the 0 on each line and a given point in the plane located by using an ordered pair of numbers, called its coordinates. Understand that the first number indicates how far to travel from the origin in the direction of one axis, and the second number indicates how far to travel in the direction of the second axis, with the convention that the names of the two axes and the coordinates correspond (e.g., xaxis and xcoordinate, yaxis and ycoordinate). [5G1]
Subject: Mathematics Title: Understanding Distance, Speed, and Time Relationships
Description: In this twolesson unit, from Illuminations, students use a software simulation of two runners along a track. Students can control the speeds and starting points of the runners, watch the race and examine a graph of the timeversusdistance relationship. They examine graphs of related data and investigate scenarios involving constant rates of change. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Playing with Patterns
Description:
In this lesson, one of a multipart unit from Illuminations, students use objects and symbols to make repeating linear patterns. They also extend patterns and translate patterns from one modality (auditory, visual, and kinesthetic) to another.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics,Physical Education Title: Playing with Patterns
Description: In this lesson, one of a multipart unit from Illuminations, students use objects and symbols to make repeating linear patterns. They also extend patterns and translate patterns from one modality (auditory, visual, and kinesthetic) to another. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: The Fibonacci Series
Description:
The purpose of this lesson, from Science NetLinks, is to appreciate and investigate a numerical pattern and to look for evidence of mathematical patterns in nature. In this lesson, students explore the Fibonacci series. They identify the pattern among the Fibonacci numbers, look for applications of these numbers, and explore the ways that this pattern can be related to objects and shapes in both the natural and designed world.
Standard(s): [MA2015] (7) 6: Solve realworld and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.) [7NS3]
Subject: Mathematics, Arts Title: The Fibonacci Series
Description: The purpose of this lesson, from Science NetLinks, is to appreciate and investigate a numerical pattern and to look for evidence of mathematical patterns in nature. In this lesson, students explore the Fibonacci series. They identify the pattern among the Fibonacci numbers, look for applications of these numbers, and explore the ways that this pattern can be related to objects and shapes in both the natural and designed world. Thinkfinity Partner: Science NetLinks Grade Span: 6,7,8
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Title: Patterns That Grow
Description:
In this fivelesson unit, from Illuminations, students use logical thinking to create, identify, extend, and translate patterns. They make patterns with numbers and shapes and explore patterns in a variety of mathematical contexts. These lessons give students an opportunity to create and analyze numeric and geometric patterns. Particular emphasis is placed on growing patterns.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Patterns That Grow
Description: In this fivelesson unit, from Illuminations, students use logical thinking to create, identify, extend, and translate patterns. They make patterns with numbers and shapes and explore patterns in a variety of mathematical contexts. These lessons give students an opportunity to create and analyze numeric and geometric patterns. Particular emphasis is placed on growing patterns. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Patterns That Grow: Looking Back and Moving Forward
Description:
In this lesson, one of a multipart unit from Illuminations, students use logical thinking to create, identify, extend, and translate patterns. They make patterns with numbers and shapes and then explore patterns in a variety of mathematical contexts. The lesson includes a link to an interactive online shape tool.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Patterns That Grow: Looking Back and Moving Forward
Description: In this lesson, one of a multipart unit from Illuminations, students use logical thinking to create, identify, extend, and translate patterns. They make patterns with numbers and shapes and then explore patterns in a variety of mathematical contexts. The lesson includes a link to an interactive online shape tool. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Many Ways to Create Patterns
Description:
This lesson, one of a multipart unit from Illuminations, accommodates multiple learning styles as students create patterns using different forms. For example, students use body movement or kinesthetic experiences to create and copy patterns. Students use knowledge and skills in new situations to develop a solid understanding of the process for creating patterns, recognizing pattern sequences, and representing patterns in different ways.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Many Ways to Create Patterns
Description: This lesson, one of a multipart unit from Illuminations, accommodates multiple learning styles as students create patterns using different forms. For example, students use body movement or kinesthetic experiences to create and copy patterns. Students use knowledge and skills in new situations to develop a solid understanding of the process for creating patterns, recognizing pattern sequences, and representing patterns in different ways. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Exploring Other Number Patterns
Description:
In this lesson, one of a multipart unit from Illuminations, students analyze numeric patterns, including Fibonacci numbers. They also describe numeric patterns and then record them in table form.
Standard(s): [MA2015] (5) 3: Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. [5OA3]
Subject: Mathematics Title: Exploring Other Number Patterns
Description: In this lesson, one of a multipart unit from Illuminations, students analyze numeric patterns, including Fibonacci numbers. They also describe numeric patterns and then record them in table form. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Patterns on Charts
Description:
In this lesson, one of a multipart unit from Illuminations, students find, record, and analyze patterns on hundred and multiplication charts. They also use an interactive online shape tool and an online calculator to generate patterns and then record them on a chart.
Standard(s): [MA2015] (5) 19: Make a line plot to display a data set of measurements in fractions of a unit (^{1}/_{2}, ^{1}/_{4}, ^{1}/_{8}).
Use operations on fractions for this grade to solve problems involving information presented in line plots. [5MD2]
Subject: Mathematics Title: Patterns on Charts
Description: In this lesson, one of a multipart unit from Illuminations, students find, record, and analyze patterns on hundred and multiplication charts. They also use an interactive online shape tool and an online calculator to generate patterns and then record them on a chart. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: What Comes Nex_?: A Lesson in Patterns and Sorting
Description:
This lesson, from Illuminations, deals with patterns and the importance of looking at data from more than a single perspective. Students work to extend patterns and classify items as they investigate a series of items that appear to be ordered in some obvious ways.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: What Comes Nex_?: A Lesson in Patterns and Sorting
Description: This lesson, from Illuminations, deals with patterns and the importance of looking at data from more than a single perspective. Students work to extend patterns and classify items as they investigate a series of items that appear to be ordered in some obvious ways. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: What's Next?
Description:
In this lesson, one of a multipart unit from Illuminations, students begin their study of growing patterns by making linear patterns with pattern block shapes using several pattern cores. They extend a partner s pattern and find the missing element in a pattern.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: What's Next?
Description: In this lesson, one of a multipart unit from Illuminations, students begin their study of growing patterns by making linear patterns with pattern block shapes using several pattern cores. They extend a partner s pattern and find the missing element in a pattern. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Ten Marks Personalized Math
Digital Tool:
Ten Marks Web Address URL:
http://www.tenmarks.com/ Standard(s):
[MA2015] (7) 6: Solve realworld and mathematical problems involving the four operations with rational numbers. (Computations with rational numbers extend the rules for manipulating fractions to complex fractions.) [7NS3] Digital Tool Description: Ten Marks provides multiple choice questions for students in 2nd grade through Geometry. With a minimum of ten math subtopics per grade level, this tool can be used as an whole group or individual. The teacher manages the assignments and is able to view individualized reports. Students are guided through questions and have on screen access to audio/video instruction. When the assignment is complete, students receive immediate feedback and explanations for review. Access is available 24 hours/day, seven days per week.
Title: Ten Marks Personalized Math Digital Tool: Ten Marks Digital Tool Description: Ten Marks provides multiple choice questions for students in 2nd grade through Geometry. With a minimum of ten math subtopics per grade level, this tool can be used as an whole group or individual. The teacher manages the assignments and is able to view individualized reports. Students are guided through questions and have on screen access to audio/video instruction. When the assignment is complete, students receive immediate feedback and explanations for review. Access is available 24 hours/day, seven days per week.
Thinkfinity Multimedia
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Title: How Do You Unlock a Secret Code?
Description:
Cryptologists study secret codes. Being able to read encoded German and Japanese communications enabled the Allies to achieve victory in World War II., Join us as we explore how the code was cracked. By the end of this wonder, you may be making and breaking secret codes, too!
Standard(s): [MA2015] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5]
Subject: CrossDisciplinary  Informal Education , Arts  Glass , Arts  Sculpture , Arts  Woodworking , Science  Earth science , Science  Geology , Informal Education  Zoo/Aquarium/Nature Center Education Title: How Do You Unlock a Secret Code?
Description: Cryptologists study secret codes. Being able to read encoded German and Japanese communications enabled the Allies to achieve victory in World War II., Join us as we explore how the code was cracked. By the end of this wonder, you may be making and breaking secret codes, too! Thinkfinity Partner: Wonderopolis Grade Span: K,PreK,1,2,3,4,5
Thinkfinity Informational Materials
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Title: Number and Operations Web Links
Description:
This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites.
Standard(s): [MA2015] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4]
Subject: Mathematics Title: Number and Operations Web Links
Description: This collection of Web links, reviewed and presented by Illuminations, offers teachers and students information about and practice in concepts related to arithmetic. Users can read the Illuminations Editorial Board's review of each Web site, or choose to link directly to the sites. Thinkfinity Partner: Illuminations Grade Span: K,1,2,3,4,5,6,7,8,9,10,11,12
Thinkfinity Interactive Games
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Title: Learning Geometry and Measurement Concepts by Creating Paths and Navigating Mazes: Hiding Ladybug
Description:
This standalone applet is part of the Illuminations lesson titled '' Helping Ladybug Hide with Arrows and Angles.'' In the lesson, students use this applet to hide a ladybug under a leaf.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Learning Geometry and Measurement Concepts by Creating Paths and Navigating Mazes: Hiding Ladybug
Description: This standalone applet is part of the Illuminations lesson titled '' Helping Ladybug Hide with Arrows and Angles.'' In the lesson, students use this applet to hide a ladybug under a leaf. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2
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Title: Communicating about Mathematics Using Games: Playing Fraction Tracks
Description:
Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This eexample from Illuminations contains an interactive version of a game that can be used in the grades 35 classroom to support students' learning about fractions. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations.
Standard(s): [MA2015] (5) 26: Classify twodimensional figures in a hierarchy based on properties. [5G4]
Subject: Mathematics Title: Communicating about Mathematics Using Games: Playing Fraction Tracks
Description: Mathematical games can foster mathematical communication as students explain and justify their moves to one another. In addition, games can motivate students and engage them in thinking about and applying concepts and skills. This eexample from Illuminations contains an interactive version of a game that can be used in the grades 35 classroom to support students' learning about fractions. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations. Thinkfinity Partner: Illuminations Grade Span: 3,4,5
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Title: Learning about Number Relationships and Properties of Numbers Using Calculators and Hundred Boards: Displaying Number Patterns
Description:
Building on students' intuitive understandings of patterns and number relationships, teachers can further the development of number concepts and logical reasoning as described in the Number and Operations and Reasoning and Proof Standards. In this twopart example from Illuminations, virtual hundred boards and calculators furnish a visual way of highlighting and displaying various patterns and relationships among numbers. Using calculators and hundred boards together, teachers can encourage students to communicate their thinking with others, as discussed in the Communication Standard.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Learning about Number Relationships and Properties of Numbers Using Calculators and Hundred Boards: Displaying Number Patterns
Description: Building on students' intuitive understandings of patterns and number relationships, teachers can further the development of number concepts and logical reasoning as described in the Number and Operations and Reasoning and Proof Standards. In this twopart example from Illuminations, virtual hundred boards and calculators furnish a visual way of highlighting and displaying various patterns and relationships among numbers. Using calculators and hundred boards together, teachers can encourage students to communicate their thinking with others, as discussed in the Communication Standard. Thinkfinity Partner: Illuminations Grade Span: K,1,2
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Title: How Do You Unlock a Secret Code?
Description:
Cryptologists study secret codes. Being able to read encoded German and Japanese communications enabled the Allies to achieve victory in World War II., Join us as we explore how the code was cracked. By the end of this wonder, you may be making and breaking secret codes, too!
Standard(s): [MA2015] (6) 29: Summarize numerical data sets in relation to their context, such as by: [6SP5]
Subject: CrossDisciplinary  Informal Education , Arts  Glass , Arts  Sculpture , Arts  Woodworking , Science  Earth science , Science  Geology , Informal Education  Zoo/Aquarium/Nature Center Education Title: How Do You Unlock a Secret Code?
Description: Cryptologists study secret codes. Being able to read encoded German and Japanese communications enabled the Allies to achieve victory in World War II., Join us as we explore how the code was cracked. By the end of this wonder, you may be making and breaking secret codes, too! Thinkfinity Partner: Wonderopolis Grade Span: K,PreK,1,2,3,4,5
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Title: Creating, Describing, and Analyzing Patterns to Recognize Relationships and Make Predictions: Extending Pattern Understandings
Description:
This is part three of a threepart eexample from Illuminations that highlights different aspects of students' understanding and use of patterns. This part, Extending Pattern Understandings, demonstrates ways in which students begin to create a '' unit of units,'' or a grouping that can be repeated, and begin to relate two patterns in a functional relationship. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath Investigations.
Standard(s): [MA2015] (4) 5: Generate a number or shape pattern that follows a given rule. Identify apparent features of the pattern that were not explicit in the rule itself. [4OA5]
Subject: Mathematics Title: Creating, Describing, and Analyzing Patterns to Recognize Relationships and Make Predictions: Extending Pattern Understandings
Description: This is part three of a threepart eexample from Illuminations that highlights different aspects of students' understanding and use of patterns. This part, Extending Pattern Understandings, demonstrates ways in which students begin to create a '' unit of units,'' or a grouping that can be repeated, and begin to relate two patterns in a functional relationship. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards for School Mathematics (PSSM). Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath Investigations. Thinkfinity Partner: Illuminations Grade Span: K,PreK,1,2

