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### Constructing a Three-Dimensional Model

3-5

In this lesson, students build a three‑dimensional model from their two‑dimensional blueprint. In addition, they solve problems related to constructing and decorating their clubhouse.### Getting to Know the Shapes

3-5

In this lesson, students discover the uses of geometry and measurement in the world of architecture as they are introduced to the clubhouse project.### Hanging Chains

9-12

Both ends of a small chain will be attached to a board with a grid on it to (roughly) form a parabola. Students will choose three points along the curve and use them to identify an equation. Repeating the process, students will discover how the equation changes when the chain is shifted.### Vigenere Cipher

9-12

Following their introduction to the Caesar Cipher, students will now learn about the polyalphabetic Vigenere cipher. Text will be encoded and decoded using inverse operations.### Pedal Power

9-12

In this lesson, students investigate slope as a rate of change. Students compare, contrast, and make conjectures based on distance-time graphs for three bicyclists climbing to the top of a mountain. ### The Ratio of Circumference to Diameter

6-8

Students measure the circumference and diameter of circular objects. They calculate the ratio of circumference to diameter for each object in an attempt to identify the value of pi and the circumference formula.### Building A Box

3-5, 6-8

This lesson uses a real-world situation to help develop students' spatial visualization skills and geometric understanding. Emma, a new employee at a box factory, is supposed to make cube‑shaped jewelry boxes. Students help Emma determine how many different nets are possible and then analyze the resulting cubes.### Off the Scale

6-8

Students use real-world examples to solve problems involving scale as they examine maps of their home states and calculate distances between cities.### Measurement Terms

6-8

This lesson introduces relationships between measurement and geometry. The activities build on students' prior knowledge as students work with partners and as a whole class to identify and classify terms to develop their understanding of measurement.### Automobile Mileage: Years Since 1990 vs. Mileage

9-12

This lesson is a third representation of the automobile mileage data used in Lessons Five and Six of this Unit Plan. This lesson provides another opportunity for the students to analyze how changing the independent variable in a set of data can result in a different least squares regression line. Students can then use the new equation to make some of the same predictions they made in Lessons Five and Six.