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Algebra

Light It Up

9-12

In this cooperative learning activity, students are presented with a real-world problem: Given a mirror and laser pointer, determine the position where one should stand so that a reflected light image will hit a designated target.

This investigation allows students to develop several rational functions that models three specific forms of a rational function. Students explore the relationship between the graph, the equation, and problem context.

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Geometry

The Giant Cookie Dilemma

6-8
Students explore two different methods for dividing the area of a circle in half, one of which uses concentric circles. The first assumption that many students make is that half of the radius will yield a circle with half the area. This is not true, and it surprises students. In this lesson, students investigate the optimal radius length to divide the area of a circle evenly between an inner circle and an outer ring.
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Algebra

Caesar Cipher

9-12
In this lesson, students will investigate the Caesar substitution cipher. Text will be encoded and decoded using inverse operations.
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Number and Operations

Factor Game

3-5, 6-8
Exercise your factoring ability against a human or the computer in this Calculation Nation game.
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Number and Operations

Numbers and Language

3-5

Focus on the role of numbers and language in real-world situations.  

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Number and Operations

Number Cents

Pre-K-2
Explore the relationship between pennies, nickels, dimes, and quarters.
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Algebra

Making Sense of Percent Concentrations

9-12

Predict, model, and generalize conjectures about percent concentrations.

 

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Data Analysis and Probability

Sickle Cell Anemia Inheritance

6-8, 9-12
In this lesson, students explore the concept of genetics and inheritance. The lesson focuses on sickle cell anemia, a genetic disease that is dependent on a recessive trait. Students will perform data collection and analysis of the probability of a child of two sickle trait parents inheriting sickle cell anemia. To do this, they play a game that models how the inheritance of a disease works from parents’ genes. Later, students construct family trees with probability to determine the genotypes of family members.
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Data Analysis and Probability

The Effects of Outliers

9-12
Interactive computer-based tools provide students with the opportunity to easily investigate the relationship between a set of data points and a curve used to fit the data points. As students work with bivariate data in grades 9-12, they will be able to investigate relationships between the variables using. Using interactive tools like the one below, students can investigate the properties of regression lines and correlation.
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Geometry

Axonometry: Applying Complex Numbers to Art

9-12
In this lesson, students examine and draw representations of cubes and then learn how to analyze these representations using complex numbers. Students use what they know about operations on complex numbers to see if a drawing is an accurate representation of a cube. They also learn how to generate complex numbers that will produce such representations.