Thank you so much for visiting our website! We are in the middle of a site redesign which will be completed on March 15th. You will still be able to access this website until April 10th, at which point http://math.newvisions.org will redirect you to our new curriculum website.

If you want to continue accessing this website, you will be able to do so until June 30th of this year.

Here for the first time? Interested in finding out more about instructional routines before diving into the examples below? Check out this page that describes our instructional routines.

Interested in finding a task for one of our routines? Use the filters below to look for instructional routines for particular courses and units.

To create your own **Contemplate then Calculate** tasks, fill out this form (and use a Google or Google Apps for Education email), you will be shared on a folder with the necessary template files.

To create your own **Connecting Representations** tasks, fill out this form (and use a Google or Google Apps for Education email), you will be shared on a folder with the necessary template files.

Description:
Use the structure of a quadratic sequence to find a missing value. Instructional Routine Type:
Contemplate then Calculate Course:
Algebra I Unit:
5 Big Idea: Big Idea 1 |
Description:
Make connections between the operations used to model how a figure changes in a pattern to predict future values. Instructional Routine Type:
Contemplate then Calculate Course:
Algebra I Unit:
5 Big Idea: Big Idea 1 |
Description:
Change the form of a bar graph to make it easier to find the mean value. Instructional Routine Type:
Contemplate then Calculate Course:
Algebra I Unit:
7 Big Idea: Big Idea 1 |

Description:
Chunk a group of numbers based on their arrangement to find a shortcut to find the median value of the numbers. Instructional Routine Type:
Contemplate then Calculate Course:
Algebra I Unit:
7 Big Idea: Big Idea 1 |
Description:
Use the structure of a growing sequence to create equivalent quadratic functions that describe the growth. Instructional Routine Type:
Contemplate then Calculate Course:
Algebra I Unit:
6 Big Idea: Big Idea 1 |
Description:
Use the structure (zero-product property or a sequence of subtraction calculations) to quickly find the solution to a linear equation. Instructional Routine Type:
Contemplate then Calculate Course:
Algebra I Unit:
6 Big Idea: Big Idea 2 |

Description:
Use the numerical structure of a number to find factors of that number to use to solve a quadratic equation. Instructional Routine Type:
Contemplate then Calculate Course:
Algebra I Unit:
6 Big Idea: Big Idea 2 |
Description:
To use the structure of a quadratic equation to find shortcuts for solving quadratic equations. Instructional Routine Type:
Contemplate then Calculate Course:
Algebra I Unit:
6 Big Idea: Big Idea 3 |
Description:
Use the structure of a visual to quickly count the number of squares in the shape. Instructional Routine Type:
Contemplate then Calculate Course:
Algebra I Unit:
6 Big Idea: Big Idea 3 |

Description:
Use the structure of a shape to quickly count using area. Instructional Routine Type:
Contemplate then Calculate Course:
Geometry Unit:
5 Big Idea: Big Idea 1 |
Description:
Use the structure of a set of cubes to find a shortcut for finding the volume of the stack of cubes. Instructional Routine Type:
Contemplate then Calculate Course:
Geometry Unit:
5 Big Idea: Big Idea 1 |
Description:
Use the tilted pyramid to help students visualize three dimensions. Instructional Routine Type:
Contemplate then Calculate Course:
Geometry Unit:
5 Big Idea: Big Idea 1 |