Thank you so much for visiting our website! We are in the middle of a site redesign which is now available for you to view at **http://curriculum.newvisions.org/math**

You will still be able to access this website at this address 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 legacy website thereafter, 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:
Students will be able to connect a series of segments on a unit circle to the segments on a sine wave and change in amplitude vs. vertical shift. Instructional Routine Type:
Connecting Representations Course:
Algebra II Unit:
3 Big Idea: Big Idea 3 |
Description:
Students will match sine graphs with their appropriate equations. Each equation is a variation by moving the number 2 around. Instructional Routine Type:
Connecting Representations Course:
Algebra II Unit:
3 Big Idea: Big Idea 4 |
Description:
Students will match cosine function rules with appropriate tables of values while paying attention to how changing the different parts of the equation can affect the values of coordinate pairs in the table. Instructional Routine Type:
Connecting Representations Course:
Algebra II Unit:
3 Big Idea: Big Idea 4 |

Description:
Students will be able to determine the number of real roots a quadratic has from its parabola features (e.g. axis of symmetry, vertex, etc.). Instructional Routine Type:
Connecting Representations Course:
Algebra II Unit:
4 Big Idea: Big Idea 1 |
Description:
Use the structure of a set of equations from the Pythagorean theorem and the structure of a set of right triangles to make matches between the equations and the right triangles. Instructional Routine Type:
Connecting Representations Course:
Geometry Unit:
4 Big Idea: Big Idea 1 |
Description:
Use the structure of the side lengths of triangles to make matches between a set of Pythagorean triples. Instructional Routine Type:
Connecting Representations Course:
Geometry Unit:
4 Big Idea: Big Idea 1 |

Description:
Students will be able to connect a solution strategy to a quadratic equation. Instructional Routine Type:
Connecting Representations Course:
Algebra II Unit:
4 Big Idea: Big Idea 2 |
Description:
This activity could be used to introduce notation to students after they have some experience using the ratios without knowing the names. Instructional Routine Type:
Connecting Representations Course:
Geometry Unit:
4 Big Idea: Big Idea 2 |
Description:
Use the structure of the ratio of known and unknown side lengths of triangles to make matches to a specific trigonometric ratio. Instructional Routine Type:
Connecting Representations Course:
Geometry Unit:
4 Big Idea: Big Idea 2 |

Description:
Students will be able to identify which labelled triangles and solving for x correspond to using trigonometric ratios versus using the Pythagorean Theorem. Meant to be an introduction. Instructional Routine Type:
Connecting Representations Course:
Geometry Unit:
4 Big Idea: Big Idea 2 |
Description:
Students will be able to identify when to use trig ratios and when to use inverse trig ratios. Note: if this is used as an introductory activity it might be best to have each of the equations in the right column be unsolved for X so that it’s one step les Instructional Routine Type:
Connecting Representations Course:
Geometry Unit:
4 Big Idea: Big Idea 2 |
Description:
Use the structure of a set of graphed and factored polynomials to make connections between the two. Instructional Routine Type:
Connecting Representations Course:
Algebra II Unit:
4 Big Idea: Big Idea 3 |