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Lesson Plan
EngageNY

Newton’s Law of Cooling, Revisited

For Teachers 10th - 12th Standards
Does Newton's Law of Cooling have anything to do with apples? Scholars apply Newton's Law of Cooling to solve problems in the 29th installment of a 35-part module. Now that they have knowledge of logarithms, they can determine the decay...
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Lesson Plan
EngageNY

Modeling with Exponential Functions

For Teachers 10th - 12th Standards
These aren't models made of clay. Young mathematicians model given population data using exponential functions. They consider different models and choose the best one.
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Lesson Plan
EngageNY

Bean Counting

For Teachers 10th - 12th Standards
Why do I have to do bean counting if I'm not going to become an accountant? The 24th installment of a 35-part module has the class conducting experiments using beans to collect data. Learners use exponential functions to model this...
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Lesson Plan
EngageNY

Choosing a Model

For Teachers 10th - 12th Standards
There's a function for that! Scholars examine real-world situations to determine which type of function would best model the data in the 23rd installment of a 35-part module. It involves considering the nature of the data in addition to...
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Lesson Plan
California Mathematics Project

For the Birds

For Students 9th - 12th Standards
It turns out math IS for the birds! Here, learners use mathematical reasoning to determine how often someone needs to fill a bird feeder. The rate the feeder empties varies by the number of holes that are available to the birds. Day two...
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Lesson Plan
California Mathematics Project

Treasure Beneath the Sea

For Students 9th - 12th Standards
Explore the geometry of treasure hunting! Learners use geometry to design a treasure recovery strategy. The objective is to create a design that minimizes the amount of work required. Budding mathematicians use properties of triangles as...
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Lesson Plan
California Mathematics Project

Viral Marketing

For Students 9th - 12th Standards
Math's gone viral—in the form of an exponential function! The activity uses an exponential function to model the growth of a marketing strategy. Learners create a table of values to observe the pattern in the numbers and then model the...
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Unit Plan
Mathematics Vision Project

Module 7: Modeling with Functions

For Students 9th - 12th Standards
The sky's the limit of what you create when combining functions! The module begins with a review of transformations of parent functions and then moves to combining different function types using addition, subtraction, and multiplication....
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Unit Plan
Mathematics Vision Project

Module 5: Modeling with Geometry

For Students 9th - 12th Standards
Solids come in many shapes and sizes. Using geometry, scholars create two-dimensional cross-sections of various three-dimensional objects. They develop the lesson further by finding the volume of solids. The module then shifts to finding...
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Lesson Plan
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Teach Engineering

Processes on Complex Networks

For Students 7th - 10th Standards
Introduces your class to random processes in networks with an activity that uses information about disease spread using the susceptible, infectious, resistant (SIR) model. Participants determine whether a susceptible person becomes...
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Assessment
Balanced Assessment

Confetti Crush

For Students 6th - 8th
In the first part of a middle school assessment task, learners analyze a given statement about the amount of confetti revelers throw at Times Square on New Year's Eve. The second part of the task requires learners to identify objects...
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Lesson Plan
Mathematics Assessment Project

Estimating Volume: The Money Munchers

For Teachers 7th Standards
Don't stuff money under your mattress. To find out why learners first complete a task determining how $24,000 in cash would affect the height of a mattress and whether this same amount would fit into a suitcase of given dimensions. They...
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Assessment
Mathematics Assessment Project

Matchsticks

For Teachers 6th - 8th Standards
How many matchsticks can be made from a single tree? That is the problem facing middle schoolers. Scholars first determine the volume of a matchstick given its dimensions, and then use this information to estimate the number of...
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Lesson Plan
Mathematics Assessment Project

Generalizing Patterns: Table Tiles

For Teachers 9th - 12th Standards
As part of a study of geometric patterns, scholars complete an assessment task determining the number of tiles needed to cover a tabletop. They then evaluate provided sample responses to see different ways to solve the same problems.
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Lesson Plan
Mathematics Assessment Project

Matching Situations, Graphs and Linear Equations

For Teachers 8th Standards
What do guitars, candles, and helicopters have in common? They're all in this resource. Learners complete an assessment task to determine the amount of profit made in a guitar class based on given information regarding variable...
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Lesson Plan
Mathematics Assessment Project

Modeling: Making Matchsticks

For Teachers 8th Standards
Math: The only subject where the solution to a problem is seven million matches. Young scholars first complete an assessment task estimating the number of matches they can make from a tree of given dimensions. They then evaluate provided...
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Lesson Plan
Mathematics Assessment Project

Solving Linear Equations

For Teachers 7th Standards
Linear equations are the focus of activities that ask learners to first complete a task that involves interpreting algebraic expressions and solving linear equations. They then take part in a card activity matching equations, situations,...
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Assessment
EngageNY

Algebra II Module 2: End-of-Module Assessment

For Teachers 10th - 12th Standards
Will this be on the test? Learners demonstrate their understanding of trigonometric functions with an end-of-module assessment. They investigate two different real-world situations, one function in pure mathematics, and one potential...
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Assessment
Mathematics Assessment Project

Linear Graphs

For Teachers 6th - 8th Standards
A line is a line is a line. As a middle school assessment task, learners first identify graphs of given linear equations. They then identify the equations that represent real-world situations.
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Assessment
Mathematics Assessment Project

Functions

For Students 8th - 9th Standards
Studying function means more than simply learning a formula. Learners must use functions to think through four problems and find solutions. Each task utilizes a different concept from a study of functions. Class members might use a...
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Lesson Plan
EngageNY

Tides, Sound Waves, and Stock Markets

For Students 10th - 12th Standards
Help pupils see the world through the eyes of a mathematician. As they examine tide patterns, sound waves, and stock market patterns using trigonometric functions, learners create scatter plots and write best-fit functions. 
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Lesson Plan
EngageNY

Ferris Wheels—Using Trigonometric Functions to Model Cyclical Behavior

For Students 10th - 12th Standards
Have class members going in circles as they model the path of a Ferris Wheel using trigonometric functions. Building on the previous lesson in this series on transformations, learners use trigonometric functions to model wheels of...
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Lesson Plan
West Contra Costa Unified School District

Using Bar Models to Solve Rate Problems

For Teachers 8th - 10th Standards
Pupils visualize distance-rate-time problems by using bar models. The lesson presents examples of four different types of rate problems and shows how they can be solved using bar models and equations. Each example is followed by a...
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Lesson Plan
EngageNY

The Motion of the Moon, Sun, and Stars—Motivating Mathematics

For Students 10th - 12th Standards
What does math have to do with the behavior of the earth and sun? Learn how the movement of celestial bodies has influenced the development of trigonometry. Scholars connects the details in mathematics to their real-world meaning.