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Illustrative Mathematics

Toilet Roll

For Teachers 9th - 11th Standards
Potty humor is always a big hit with the school-age crowd, and potty algebra takes this topic to a whole new level. Here the class develops a model that connects the dimensions (radii, paper thickness, and length of paper) of a common...
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Activity
Illustrative Mathematics

Centerpiece

For Teachers 9th - 10th Standards
Learners hear wedding bells in this problem set, as they help a fictional bride plan the centerpieces for her wedding reception. Algebra is married to geometry as volume, aesthetics, and budgeting all come into play. Learners are asked...
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Activity
Ms. Amber Nakamura's Mathematics Website

Algebra Project

For Teachers 9th - 12th Standards
What would your dream house look like? A cottage? A medieval castle? High schoolers enrolled in Algebra design the perfect house while using slopes to write equations for various aspects of the project.
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Lesson Plan
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Illustrative Mathematics

Logistic Growth Model, Abstract Version

For Teachers 9th - 12th Standards
Here learners get to flex some serious algebraic muscles through an investigation of logistic growth. The properties of the constant terms in the logistic growth formula are unraveled in a short but content-dense activity. Moving...
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Lesson Plan
Illustrative Mathematics

US Garbage, Version 1

For Teachers 7th - 9th Standards
An interesting example of a discrete function and how it is applies to the real world. This could easily make a good collaborative lesson with an environmental science class. Practice reading a table and drawing a scatter plot make up...
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Activity
Math Solutions

Dr. Seuss Comes to Middle School Math Class

For Teachers 6th - 8th Standards
If you think Dr. Seuss has no place in a math classroom, then take a look at this resource. Based on the classic children's book Green Eggs and Ham, this sequence of activities engages children learning to model real-world contexts with...
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Activity
101 Questions

How Many Hot Dogs?

For Teachers 6th - 8th Standards
Top off your hot dogs with a little math. Learners view a video on a hot dog eating contest, and then answer questions using estimation. Using a table of hypothetical data, they create algebraic expressions to represent the situation.
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Activity
Noyce Foundation

Digging Dinosaurs

For Students K - 12th Standards
Build a function to solve problems rooted in archeology. A comprehensive set of five lessons presents problems requiring individuals to use functions. The initial lesson asks learners to find the possible number of dinosaurs from a...
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Activity
Noyce Foundation

Measuring Mammals

For Students K - 12th Standards
Explore the meaning of scale and proportion with a set of five activities that examines the topic from elementary through high school. The first lessons explore ratio by examining pictures of different sizes. The next three activities...
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Illustrative Mathematics

Watch Out for Parentheses 1

For Teachers 5th Standards
Parentheses are an important tool in the algebraic toolbox in regard to the structure of the algebraic equation. They are the beginning of the standard order of operations rule, the P in PEMDAS. The central question that 5th graders are...
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Activity
Howard Hughes Medical Institute

Calculating Iridium Fallout from an Asteroid Impact

For Students 9th - 12th Standards
Should we be afraid of a large asteroid impact on Earth today? Young scientists estimate the size and composition of an asteroid similar to the one that caused the K-T mass extinction. They apply algebraic formulas to answer questions...
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Activity
5280 Math

Stories That Formulas Tell

For Teachers 8th - 10th Standards
Learn the stories a formula holds. An interesting lesson takes a unique approach to teach how to use formulas. Beginning with a formula, learners predict what the variables stand for and then use the formula to make calculations and tell...
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Activity
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Teach Engineering

Using Hooke's Law to Understand Materials

For Teachers 10th - 12th Standards
Provide a Hooke for a lesson on elasticity with an activity that has groups investigate a set of springs. They use a set procedure to collect data to calculate the spring constant for each spring using Hooke's Law. The groups predict the...
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Activity
Education Development Center

Making Sense of Unusual Results

For Students 6th - 8th Standards
Collaboration is the key for this equation-solving lesson. Learners solve a multi-step linear equation that requires using the distributive property. Within collaborative groups, scholars discuss multiple methods and troubleshoot mistakes.
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Lesson Plan
Illustrative Mathematics

Regular Tessellations of the Plane

For Teachers 9th - 11th Standards
Bringing together the young artists and the young organizers in your class, this lesson takes that popular topic of tessellations and gives it algebraic roots. After covering a few basic properties and definitions, learners attack the...
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Activity
Curated OER

Narrow Corridor

For Teachers 8th - 12th Standards
Buying a new sofa? Learn how to use the Pythagorean Theorem, as well as algebra and graphing techniques, to determine whether the sofa will fit around a corner (which I'm sure you'll agree is a very important consideration!).
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Lesson Plan
Curated OER

Compounding with a 5% Interest Rate

For Teachers 9th - 12th Standards
The balance in an account continuously compounding interest is the context of this engaging task. Your young accountants will investigate the ending balance in an account as they compound the interest more and more. Learners write the...
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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...
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Lesson Plan
Illustrative Mathematics

Joining Two Midpoints of Sides of a Triangle

For Teachers 9th - 11th Standards
Without ever using the actual term, this exercise has the learner develop the key properties of the midsegment of a triangle. This task leads the class to discover a proof of similar triangles using the properties of parallel lines cut...
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Activity
PBL Pathways

Arch Project

For Students 10th - Higher Ed Standards
Model real-life structures with mathematics. A project-based lesson presents a problem situation requiring classes to develop a function to model the St. Louis Arch and the Rainbow Bridge in Arizona. They create their models by...
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Activity
West Contra Costa Unified School District

Division (No Remainders)

For Teachers 4th - 7th Standards
Help young mathematicians build a solid understanding of division with this base ten block activity. With the help of these popular math manipulatives, children model different math problems in order to reinforce the connection between...
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Lesson Plan
Illustrative Mathematics

Bike Race

For Teachers 7th - 9th Standards
A graph not only tells us who won the bike race, but also what happened during the race. Use this resource to help learners understand graphs. The commentary suggests waiting until the end of the year to introduce this topic, but why...
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Activity
Illustrative Mathematics

Watch out for Parentheses

For Teachers 5th - 7th Standards
It is important for the algebra learner to understand the use of parentheses. Mathematicians of all levels can make errors with nested parentheses. This will give them some practice. It makes for a good class starter or quick assessment.
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Lesson Plan
Illustrative Mathematics

Two Lines

For Teachers 7th - 9th Standards
Here is a resource that helps your algebra learners understand the connection between the graph of two lines, the equations of lines, and the solutions and intersecting points of lines. It would make a great assessment question, but can...

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