Mathematical Practice: MP1

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  • MP1 (22)
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The Jug Band

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“Using just that 5 pint jug and that there 12 pint jug, measure me 1 pint of water!” Is this possible with just the two jugs? What about a 7 pint jug and 17 pint jug? Or p pint and q pint jugs?

I Walk the Line

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Your regular commute begins at your house and ends at your office at the corner of 5th street and 6th avenue. You have been making this trip for years, but you are the restless (or adventurous) type, and you try to take a different route each day. At some point, you start to wonder how long it will take you to try all of the routes.

Oh, did I mention that you have to avoid the zombies?

Investigating the Surface Area of Prisms

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Developed as part of the Math Circles of Inquiry project, this module enables students to build understanding about surface area. Students will complete three tasks dealing with surface area and volume of rectangular and triangular prisms, including a real world investigation, presented in Three Acts. The tasks will go from the concrete to the abstract as students gain understanding of what it really means to calculate surface area and volume. The module includes a refresher on area and perimeter.

Supreme Court Handshakes

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Developed as part of the Math Circles of Inquiry project, this session is a good introduction to the 8th grade or Algebra Math curriculum using inquiry based instruction. Students are asked to use their problem solving skills in order to determine the relationship between the number of Supreme Court justices and handshakes that occur when each pair shakes hands exactly once. Students will begin exploring with simpler numbers and work up to creating an algebraic expression to represent the function. This lesson allows for multiple representations by using a table, list, circle diagram, matrix and manipulatives.

Function, Function, What’s Your Model?

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Developed as part of the Math Circles of Inquiry project, this session is an introduction to functions. This module allows students to investigate the definition of a function, function notation, key features of a function including increasing, decreasing (in both interval and inequality notation), maximum and minimum, average rate of change and domain and range.

Materials include a full packet of worksheets pertaining to this unit (54 pages). This part of the unit (not including transforming functions) should take about six hours of class time.

Contextualizing Mathematics: Fortnite – Surviving the Storm

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In this session, developed as part of the Math Circles of Inquiry project, you are playing Fortnite. There are three loot boxes marked by your teammates. Which one is the best to go to? In other words, which point is closest to a given point outside a circle, the center of the circle or one of two points of tangency connecting the outside point to the circle? The highly contextualized nature of the problem posed will make the mathematics more appealing for students to explore. Moving between individual work, partner work, and whole class discussion, students make their predictions and...

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