# Supporting Material: Lesson Plan

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• MP1 - Make sense of problems and persevere in solving them. (39)
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• MP8 - Look for and express regularity in repeated reasoning. (28)

### Hungry for Change: Food Deserts in CT

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In this lesson, we are tasked with determining a location for a new supermarket to address a possible “food desert” problem in Glastonbury. You will use these diagram to guide your analysis along with tools in Desmos and Geogebra. To qualify as “low access” in urban areas, at least 500...

### Racial Profiling

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To investigate situations in the real world, we sometimes create a mathematical model. A mathematical model is a simplified version of the real world that allows us to understand the real world a little better. Over time we can change this model so that it gets closer and closer to...

### Modeling a Pandemic

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How can mathematics help us understand the phenomenon of a pandemic? What factors impact the spread of a disease like Covid-19? Which of these factors can we influence? (society, in schools) How can mathematics help us act during a pandemic toward better outcomes?

### Trigonometric Ratios in Right Triangles

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Developed as part of the Math Circles of Inquiry project, this five to six day activity is designed to help students understand trigonometric ratios, by building on their understanding of similar triangles and ratios of corresponding sides. The purpose of this module is for students to spend time and energy...

### System of Inequalities: Math Dance

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You want this year’s dance to be LIT! The dance committee has a goal of fundraising \$3,500 through ticket sales. How many tickets do they need to sell? Developed as part of the Math Circles of Inquiry project, this module presents an engaging problem which will allow students to investigate...

### Intergenerational Wealth

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Students will gather data on median household incomes from three towns across Connecticut (including their own town) and will calculate potential future wealth using exponential modeling. Students will compare outcomes of these models and discover factors that impact a household’s ability to accumulate and transfer wealth. Students will understand the...

### A Problem Fit for a Princess: Apollonian Gaskets in History

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The examination of an MTC logo takes us on a journey starting over 2,000 years ago in ancient Greece, passing through seventeenth century Bohemia, moving through twentieth century fractals, and ultimately forming the focus of this problem-solving session. Explore the Circles of Apollonius, the question posed by Princess Elisabeth of...

### Grid Power

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“When I grew up in the Soviet Union, all we used for math was grid paper. Grid paper leads to discovery.” This is how Tatiana Shubin, San Jose State University, begins her lesson demonstrating the myriad of wonderful math questions arising from a simple sheet of grid paper. Attempting to...

### Flipping Pancakes

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The Pancake Problem, first posed in 1975, is a sorting problem with connections to computer science and DNA rearrangements, which leads to discussions of algorithms, sequences, and the usefulness of approximations and bounds. The original problem was first posed by mathematician Jacob Goodman under the pen name “Harry Dweighter” (read...

### Conway’s Rational Tangles

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What do adding positive and negative fractions have to do with tying knots? In this entertaining lesson, students will use ropes to explore and identify mathematical operations that untangle knots and lead to new thinking. Simple operations of twists and rotations circle back to practicing the addition of positive and...