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Illustrative Mathematics

Hexagonal Pattern of Beehives

For Teachers 9th - 12th Standards
Young geometers and biologists investigate the math of nature in an activity that is just the bee's knees. Participants will study the tessellations of hexagons in a beehive, along with the natural rationale behind the specific shape....
Lesson Plan
Illustrative Mathematics

Chicken and Steak, Variation 2

For Teachers 7th - 9th Standards
Many organizations put on barbecues in order to make money. In a real-world math problem, the money allotted to purchase steak and chicken at this barbecue is only one hundred dollars. It is up to your potential chefs to figure out how...
Lesson Plan
Illustrative Mathematics

Baseball Cards

For Teachers 7th - 9th Standards
Here is a resource that demonstrates growth and the initial state of an equation. In this case, your class will be looking at baseball collections. How many baseball cards did the collector start out with, and how many were added or...
Lesson Plan
Curated OER

Course of Antibiotics

For Teachers 9th - 12th Standards
This model of the amount of anibiotics in a person's system is represented abstractly by a finite geometric series. Learners translate this real-life situation into algebraic form and then extend their knowlege by answering questions...
Lesson Plan
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Curated OER

A Lifetime of Savings

For Teachers 9th - 12th Standards
Sometimes people who seem to lead what would be considered an ordinary life do extraordinary things. Such was the case with Oseola McCarty, who donated a large sum of money for a university scholarship fund in her name. Oseala lived her...
Lesson Plan
Illustrative Mathematics

Two Interpretations of Division

For Teachers 3rd - 4th Standards
Division can be seen in two ways; as splitting a whole into a certain number of pieces, or splitting it into pieces of a certain size. Help your class reach this understanding with these two simple word problems. Encourage the use of...
Lesson Plan
Curated OER

Forms of Exponential Expressions

For Teachers 9th - 12th Standards
Your young physicists analyze the forms of four equivalent exponential expressions representing an amount of a radioactive material in a substance. They show how each expression is equivalent to the others and what aspects of the decay...
Lesson Plan
Curated OER

Newton's Law of Cooling

For Teachers 10th - 12th Standards
Your Algebra learners analyze and solve an exponential equation in this popular, real-life model of the cooling of a liquid.  
Lesson Plan
Illustrative Mathematics

Who is the Tallest?

For Teachers 3rd - 5th Standards
A simple question, with a not-so-simple answer. Working with whole and mixed number measurements in inches, feet, and yards presents a problem with many possible solutions. A great activity that challenges the minds of young...
Lesson Plan
Illustrative Mathematics

Battery Charging

For Teachers 7th - 9th Standards
Your class will be very interested in the results of this activity. How long does it take a MP3 and video game player to charge?  Sam only has an hour and the MP3 player only has 40% of its battery life left. Plus, his video player...
Assessment
Inside Mathematics

Swimming Pool

For Teachers 9th - 11th Standards
Swimming is more fun with quantities. The short assessment task encompasses finding the volume of a trapezoidal prism using an understanding of quantities. Individuals make a connection to the rate of which the pool is filled with a...
Lesson Plan
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Illustrative Mathematics

Margie Buys Apples

For Teachers 3rd - 5th Standards
One of the most common, everyday applications of math is dealing with money. This single problem calculating how much change Margie receives is more involved than it appears at first glance. An understanding of how fractions and decimals...
Lesson Plan
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Curated OER

Temperature Conversions

For Teachers 9th - 12th Standards
Your young weather buffs use compositions and inverses of functions to convert between Celsius, Fahrenheit, and Kelvin degrees. Then they analyze possible compositions and whether they exist in the real-life context.
Lesson Plan
Illustrative Mathematics

Distance across the channel

For Teachers 7th - 9th Standards
Here you will find a model of a linear relationship between two quantities, the water depth of a channel and the distance across the channel at water level. The cross section of the channel is the shape of an isosceles trapezoid. The...
Lesson Plan
Illustrative Mathematics

Telling a Story With Graphs

For Teachers 9th - 12th Standards
Turn your algebra learners into meteorologists. Students are given three graphs that contain information about the weather in Santa Rosa, California during the month of February, 2012. Graph one shows temperatures, graph two displays the...
Lesson Plan
Curated OER

Your Father

For Teachers 9th - 12th Standards
Your learners will explore the idea that not all functions have real numbers as domain and range values as seen in this real-life context. Secondly, the characteristics required for a function to have an inverse are explored including...
Lesson Plan
Illustrative Mathematics

Fixing the Furnace

For Teachers 7th - 9th Standards
This comprehensive resource applies simultaneous equations to a real-life problem. Though the commentary starts with a graph, some home consumers may choose to begin with a table. A graph does aid learners to visualize the shift of one...
Activity
Illustrative Mathematics

Satellite

For Teachers 9th - 11th Standards
Learners practice relating rules of trigonometry and properties of circles. With a few simplifying assumptions such as a perfectly round earth, young mathematicians calculate the lengths of various paths between satellite and...
Activity
Illustrative Mathematics

Use Cavalieri’s Principle to Compare Aquarium Volumes

For Teachers 9th - 10th Standards
Learners are designing a stunning new water feature for an aquarium, but they soon discover that more than just a pretty home for their fishy friends is required.  From calculating the volume of a composite shape through the...
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Curated OER

Mathemafish Population

For Teachers 8th - 11th Standards
It's shark week! In this problem, young mathematically minded marine biologists need to study the fish population by analyzing data over time. The emphasis is on understanding the average rate of change of the population and drawing...
Assessment
Illustrative Mathematics

Invertible or Not?

For Students 9th - 12th Standards
Two for one—create an invertible and non-invertible function from the same data. The task presents a function table with missing outputs for the class to use to create two functions. One of the functions should have an inverse while the...
Assessment
Illustrative Mathematics

Carbon 14 Dating in Practice I

For Students 9th - 12th Standards
How old is the plant? Here is a task that presents the exponential decay function for carbon 14 in a plant. Pupils use the function to estimate the amount of carbon 14 in the plant when it died and analyze the function to find what...
Activity
Illustrative Mathematics

Doctor's Appointment

For Teachers 9th - 10th Standards
Geometric volume calculations are brought into the real world in a quick set of application problems. Learners are asked to help a patient figure out how to drink a prescribed amount of water both at work and at home. This activity...
Lesson Plan
Illustrative Mathematics

Baking Cookies

For Teachers 5th - 7th Standards
You can never have enough cookies, but do you have enough ingredients? This activity allows your bakers to discover how many batches of cookies they can make with the ingredients provided. Also useable as an independent assignment, your...

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