In this task students use different representations to analyze the relationship between two quantities and to solve a real world problem. The situation presented provides a good opportunity to make connections between the information provided by tables, graphs and equations.

In this interactive unit, students are introduced to the various factors and elements that contribute to a company's success by creating a product to sell. Students participate in a mock business venture from beginning to end - from making the product (a candy bar) to selling the product. Some math concepts and principles include:using proportional relationshipssolving multistep problemsdetermining percents, markup, and taxFurther, students apply English Language Arts standards to their finished product, including:designing a marketing posterwriting, recording, and presenting a sales pitch

Arianna has been saving her chore money all summer. Her mother has allowed her to spend the money on school supplies of Arianna’s choosing. Here are some of her favorite items and the price for each

This leads students through a G_S_C_E activity to create an Inference Procedure Flow chart for AP Statistics.  great for summarizing inference procedures and helping students prepare for the AP exam. This activity is best done face to face but can be done online as well using flip grid, post-it notes and flow chart sties and weel as good docs or one note.

In this video segment from Cyberchase, the CyberSquad must locate a crystal with the highest fraction of orange color.

This task suggests methods of introducing and continuing choral counting in the classroom.

Teachers (and then students) lead the class in chanting numbers from 1 to 120.

This task was designed to support students in developing the concept of ten more and ten less, moving from concrete representation to understanding of the unit of ten within ten more and ten less. Students will also understand the value of ten(s) within any number as they mentally add or subtract 10 from a given number 100-900.

The purpose of this task is for students to find different pairs of numbers that sum to 7.

This task is primarily about volume and surface area, although it also gives students an early look at converting between measurements in scale models and the real objects they correspond to.

This resource is a 32 slide Desmos Activity. In the activity, students answer questions about calculating the raidus, diameter, circumference and area of given circles. Each correct answer allows them to advance to the Pi Coloring Page to add color to a section. 

Although this task is fairly straightforward, it is worth noticing that it does not explicitly tell students to look for intersection points when they graph the circle and the line. Thus, in addition to assessing whether they can solve the system of equations, it is assessing a simple but important piece of conceptual understanding, namely the correspondence between intersection points of the two graphs and solutions of the system.

An interactive applet and associated web page defining a circle. The applet shows a circle where the user can drag the center and a point on the circle. The radius line supports the definition that all points on the circle are a fixed distance from the center. The web page has the definitions of all the circle-related objects, such as diameter, chord etc, with links for each. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Reference Sheet for students with definitions and formulas used when looking at circles from a geometric perspective.

This concept review is a study guide for the Circles from a Geometric Perspective Unit, which is Module 7 from the Secondary Mathematics II Curriculum of Mathematics Vision Project.  Each concept that is covered in the review document has an accompanying video tutorial and set of guided notes that follow along with the videos.  Resources Included:1) Link to the Mathematics Vision Project Curriculum Module 7- Circles from a Geometric Perspective 2) Link to a Google Document containing links to videos and Guided Notes documents for each of the key concepts. Image, “Apollonian Gasket Variation” was created by fdecomite. This work is licensed under a Creative Commons Attribution 2.0 Generic License.

This task shows that the three perpendicular bisectors of the sides of a triangle all meet in a point, using the characterization of the perpendicular bisector of a line segment as the set of points equidistant from the two ends of the segment. The point so constructed is called the circumcenter of the triangle.

An interactive applet and associated web page that show the properties of a circumcircle of a polygon. The applet shows a regular polygon where the user can drag the vertices to reshape it and alter the number of sides. As the polygon is being varied, the circumcircle is shown, passing through all vertices. The text describes two ways to calculate the radius of the circumcircle, depending on what you are given to start. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

Student discover the relationship between the diameter of a circle and its circumference. Then students practice finding the circumference given the diameter or radius. 

An interactive applet and associated web page that demonstrate the circumference of a circle. The applet shows a circle with a radius line. The radius endpoints are draggable and the circle is resized accordingly. The formula relating radius to circumference is updated continually as you drag. Introduces the idea of Pi. The formula can be hidden for class discussion and estimation. See also the entries for circumference and diameter. See also entries for radius and diameter. Applet can be enlarged to full screen size for use with a classroom projector. This resource is a component of the Math Open Reference Interactive Geometry textbook project at http://www.mathopenref.com.

The City X Project is an international educational workshop for 8-12 year-old students that teaches creative problem solving using 3D printing technologies and the design process. This 6-10 hour workshop is designed for 3rd-6th grade classrooms but can be adapted to fit a variety of environments. Read a full overview of the experience here: http://www.cityxproject.com/workshop/