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Geometry

Flip-n-Slide: Exploring Transformations through Modeling and Computer Games

6-8, 9-12
In this lesson, students will explore reflections, translations and rotations. Students participate in a modeling activity where they will learn the rules for translations and reflections. Then students will practice using these transformations, as well as explore the rules for rotations, in the game Flip-n-Slide on Calculation Nation®.
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Number and Operations

Expand That Number!: Composing and Decomposing Numbers Using Standard and Expanded Form

Pre-K-2, 3-5
In this lesson, students learn to compose and decompose numbers into the hundreds place as they move from standard form to expanded form and back again. Students explore composing and decomposing numbers using base ten blocks and place value cards.
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Number and Operations

''Ten''ding the Herd: Counting Large Numbers by Tens and Ones

Pre-K-2
In this lesson, students work at stations where they practice counting large numbers by grouping herds of cows into tens and leftover ones, developing a deeper understanding of place value. The activities involve the use of manipulatives, ten-frames, and the Illuminations online activity Grouping and Grazing. 
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Number and Operations

Chip Trading: Practicing Single-Digit Addition with Colored Chips Representing Ones, Tens, and Hundreds

Pre-K-2, 3-5
This kinesthetic lesson involves using models to practice regrouping and to reinforce place value understanding. Students work together to play games involving bases 10 and 5. Students will also interpret models as numbers. 
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Number and Operations

Drop Zone: Adding Fractions with Like and Unlike Denominators Utilizing Strategy

6-8
In this lesson, students will play card and computer games by adding fractions to make 1. Students will determine how the fractions are related, by first determining what they have and then how much more is needed. Through different interactive games, students will utilize their skills and build upon them to expand their understanding of fractions. Students will be able to determine common denominators and other strategies to add fractions with like and unlike denominators.
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Number and Operations

Building a Business

3-5
In the first lesson (of two), students start a business from the ground up! Students collaborate to develop a product and are given a $1000 budget in which to start their business. Students participate in a live auction of real estate locations within the classroom, determine the wholesale prices of various products, and work together to develop an advertising campaign all to prepare for the big day- selling day!
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Measurement

Found Pounds

3-5
In this lesson, students will create memorable benchmarks for ounces and pounds by playing a classroom scavenger hunt game in which they gain points for finding objects that weigh approximately an ounce or pound. Students will practice weighing objects and will discuss why it is important to know the difference between ounces and pounds.
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Number and Operations

A Meter of Candy

3-5
In this series of 3 hands-on activities, students develop and reinforce their understanding of hundredths as fractions, decimals, and percentages. Students explore using candy pieces as they physically make and connect a set/linear model to area models.
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Measurement

Four Square Galore

3-5
Students love games! In this lesson, students apply what they know about area by planning a four square tournament for their school. They'll calculate the total area of a large room and figure out how many four square game courts are possible. The lesson promotes problem solving and decision making as students work to design a tournament space that allows for movement of people and active game play.
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Data Analysis and Probability

Bears in a Boat

3-5, 6-8
Who can build the best boat? In this lesson, students are challenged to create aluminum foil boats that are then tested by filling them with plastic bears until they sink. The lesson serves as a fun, hands-on way to collect data. The data from two attempts is collected and used to make two class box-and-whisker plots with some surprising results.
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Number and Operations

Happy Birthday to You

6-8
In this lesson, students look at patterns in calendars to determine the day of the week for a particular date. Students also use division to explain why those patterns occur, and then relate them to modular arithmetic. The final assessment is for students to find the day of their birth.
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Geometry

Computer Animation

9-12
In this lesson, students transform images through rotation, reflection, dilation, and translation using matrix multiplication. After digitizing images by representing the images as matrices, they multiply image matrices by various transformation matrices, producing transformed images.
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Number and Operations

Highway Robbery

6-8
The National Bank of Illuminations has been robbed! Students apply their knowledge of ratios, unit rates, and proportions to sort through the clues and deduce which suspect is the true culprit.
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Measurement

Fill 'Er Up

6-8
In this lesson, students use an interactive applet to investigate the formula for the volume of a rectangular prism. Students will construct two origami boxes and use centimeter cubes to measure and compare the volume of the boxes. Students will also analyze how changing the dimensions of the prism affects its volume.
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Algebra

Drug Filtering

9-12
In this lesson, students observe a model of exponential decay, and how kidneys filter their blood. They will calculate the amount of a drug in the body over a period of time. Then, they will make and analyze the graphical representation of this exponential function.
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Number and Operations

Armstrong Numbers

6-8, 9-12
An Armstrong number is an n-digit number that is equal to the sum of the nth powers of its digits. In this lesson, students will explore Armstrong numbers, identify all Armstrong numbers less than 1000, and investigate a recursive sequence that uses a similar process. Throughout the lesson, students will use spreadsheets or other technology.
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Number and Operations

Exploring Krypto

3-5, 6-8
The rules of Krypto are amazingly simple — combine five numbers using the standard arithmetic operations to create a target number. Finding a solution to one of the more than 3 million possible combinations can be quite a challenge, but students love it. And you’ll love that the game helps to develop number sense, computational skill, and an understanding of the order of operations.
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Data Analysis and Probability

Amazing Profit

6-8
Students use equations to determine eBay profit on new technology.  EBay is an online auction agency.  For a limited time after a “new” product’s street release date, it is possible to track the profit that sellers make for auctioning them on eBay.  Students use previous data of selling prices to derive a linear equation for the “closing bid price” on a product.
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Measurement

Fishing for the Best Prism

6-8, 9-12
In this lesson, students use polydrons to create nets of rectangular prisms. They discover that there are many configurations for rectangular prisms with the same volume, and determine that certain configurations minimize surface area. The lesson continues in a discovery activity related to building the most cost-efficient and appealing fish tank.
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Measurement

Cubed Cans

6-8
In this lesson, students will use formulas they have explored for the volume of a cylinder and convert them into the same volume for rectangular prisms while trying to minimize the surface area. Various real world cylindrical objects will be measured and converted into a prism to hold the same volume.  As an extension, students may design and create a rectangular prism container according to their dimensions to compare and contrast with the cylinder.