1. Patterns
2. Variability and Change

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2. Variability and Change

Elementary

1. Benchmark 1. "Recognize change and variability when it occurs in a variety of settings.
   1. Principles and Standards for School Mathematics -Variability and Change  (I.2.E.1,2,3,4&5)
      This is not only an interactive site for students but it has a lot of useful information for teachers too.  When you read "One Class's Experience," you will find a stimulating way to show the effect of change on a number line and when using an on-line calculator.
   2. Understanding Distance, Speed, and Time Relationships Using Simulation Software -Variability and Change (I.2.E.1)
      For upper elementary students. This is an NCTM Illuminations web site. It includes a simulation of two runners along a track. Students will be able to manipulate and view a graph of the time-versus-distance relationship.
   3. Who Took the Last Coin? - Variability and Change (I.2.EL.1)
      There are a variety of coins displayed in a random pattern represented by the first letter of the coin's name (i.e. d=dime). The player plays the game against the computer and chooses which coin(s) to pick up. The object of the game is to be the last person to take a coin. The number of coins played with and the rules can be altered. This is a student activity.
2. Benchmark 2. "Recognize that change is often predictable, but variable, and that patterns emerge that help to describe the change."
   1. Helping Your Child Learn Math - Variability and Change (I.2.E.2,4,5&6)
      Math at the Grocery Store and Weighing In provide teachers with activities and experiences true to life. The activities will demonstrate that change is often predictable, but variable and that patterns emerge that help to describe the change. Teachers will be able to use tables, charts, open sentences and hand-on models to represent change and variability. The activities will help students to describe and differentiate between types of relationships such as repeating, growing and shrinking patterns. The activities will provide students to opportunities to explore variability and change using investigations and problems.
   2. Principles and Standards for School Mathematics -Variability and Change  (I.2.E.1,2,3,4&5)
      This is not only an interactive site for students but it has a lot of useful information for teachers too.  When you read "One Class's Experience," you will find a stimulating way to show the effect of change on a number line and when using an on-line calculator.
3. Benchmark 3. "Explore change, and realize that changes are frequently interdependent."
1. Chapter 11, Grades Three and Four   Patterns, Relationships and Functions - Variability and Change (I.2.E.3)
   Grades 3 to 5. Students develop an understanding of patterns, relationships, and functions. This site as an overview of recognizing, constructing, and extending patterns, categorizing and classifying objects discovering rules, and working with input-output situations
2. Grades 3-5: Data Analysis and Probability New
   This site contains interactive activities that can help students in the upper elementary grades understand ideas about functions and about representing change over time, as described in the Algebra Standard.
3. Lemonade Stand - Variability and Change  (I.2.E.3)
   This is an interactive math site. Students must choose supplies for a lemonade stand. Students discover how different variables change the outcome of each day. Recommended for grades 4-6.
4. Principles and Standards for School Mathematics -Variability and Change  (I.2.E.1,2,3,4&5)
   This is not only an interactive site for students but it has a lot of useful information for teachers too.  When you read "One Class's Experience," you will find a stimulating way to show the effect of change on a number line and when using an on-line calculator.
4. Benchmark 4. "Use tables, charts, open sentences and hands-on models to represent change and variability."
   1. Helping Your Child Learn Math - Variability and Change (I.2.E.2,4,5&6)
      Math at the Grocery Store and Weighing In provide teachers with activities and experiences true to life. The activities will demonstrate that change is often predicable, but variable and that patterns emerge that help to describe the change. Teachers will be able to use tables, charts, open sentences and hand-on models to represent change and variability. The activities will help students to describe and differentiate between types of relationships such as repeating, growing and shrinking patterns. The activities will provide students to opportunities to explore variability and change using investigations and problems.
   2. Principles and Standards for School Mathematics -Variability and Change  (I.2.E.1,2,3,4&5)
      This is not only an interactive site for students but it has a lot of useful information for teachers too.  When you read "One Class's Experience," you will find a stimulating way to show the effect of change on a number line and when using an on-line calculator.
   3. The Hand Squeeze - Variability and Change (I.2.E.4&6)
      This lesson is an activity that provides experiment to determine how fast a hand squeeze will pass around a circle. The students collect and analyze data and then make predictions about the data they have collected. This is easily adaptable to younger or older students.
5. Benchmark 5. "Begin to describe and differentiate between types of relationships, especially repeating, growing and shrinking patterns."
   1. Finding a Missing Number in a Sequence - Variability and Change (I.2.E.5)
      Students determine the missing number in a sequence.  Exploring whether or not a sequence is ascending or descending is encouraged and students receive immediate feedback and hints.
   2. Helping Your Child Learn Math - Variability and Change (I.2.E.2,4,5&6)
      Math at the Grocery Store and Weighing In provide teachers with activities and experiences true to life. The activities will demonstrate that change is often predicable, but variable and that patterns emerge that help to describe the change. Teachers will be able to use tables, charts, open sentences and hand-on models to represent change and variability. The activities will help students to describe and differentiate between types of relationships such as repeating, growing and shrinking patterns. The activities will provide students to opportunities to explore variability and change using investigations and problems.
   3. Principles and Standards for School Mathematics -Variability and Change  (I.2.E.1,2,3,4&5)
      This is not only an interactive site for students but it has a lot of useful information for teachers too.  When you read "One Class's Experience," you will find a stimulating way to show the effect of change on a number line and when using an on-line calculator.
   4. The Magic Box - Variability and Change (I.2.E.5)
      This site is a teacher lesson plan (in PDF) that addresses creating and extending repeating and arithmetic patterns.  Part of the PBS Mathline series for students in grades 3-5.
6. Benchmark 6. "Explore variability and change in a variety of contexts, investigations and problems."
   1. Creating, Describing, and Analyzing Patterns to Recognize Relationships and Make Predictions: Extending Pattern Understandings - Variability and Change (I.2.E.6)
      This is an NCTM Illuminations website that includes an interactive activity for lower elementary students to predict and extend patterns.
   2. Helping Your Child Learn Math - Variability and Change (I.2.E.2,4,5&6)
      Math at the Grocery Store and Weighing In provide teachers with activities and experiences true to life. The activities will demonstrate that change is often predicable, but variable and that patterns emerge that help to describe the change. Teachers will be able to use tables, charts, open sentences and hand-on models to represent change and variability. The activities will help students to describe and differentiate between types of relationships such as repeating, growing and shrinking patterns. The activities will provide students to opportunities to explore variability and change using investigations and problems.
   3. The Hand Squeeze - Variability and Change (I.2.E.4&6)
      This lesson is an activity that provides experiment to determine how fast a hand squeeze will pass around a circle. The students collect and analyze data and then make predictions about the data they have collected. This is easily adaptable to younger or older students.

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