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Leap Years and Calendars
How many birthdays do leap year babies have in a lifetime? Learners explore the question among others in a lesson focused on different calendar systems. Given explanations of the Julian, Gregorian, and Martian calendars, individuals use...
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It's In the Mail
It's time to check the mail! The task is to determine the most cost-effective way to mail a packet of information. Young scholars write an equation that models the amount of postage as a function of the number of sheets mailed and...
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Other Road
Take the road to a greater knowledge of functions. Young mathematicians graph an absolute value function representing a road connecting several towns. Given a description, they identify the locations of the towns on the graph.
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On the Road to Zirbet
The road to a greater knowledge of functions lies in the informative resource. Young mathematicians first graph a square root function in a short performance task. They then use given descriptions of towns and the key features of the...
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Mystery Dice
Dice aren't typically mysterious devices, but these dice are anything but typical. Scholars try to come up with dice that match given information on the relative frequency when they roll them a certain number of times. They must then...
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More or Less
How long can the cable get? A short performance task provides learners with information on the length of cables and the margin of error for each. They must determine the longest and shortest cable possible by splicing these cables.
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Mirror, Mirror I
How do you see yourself? Young mathematicians consider whether it's possible to view their whole bodies in a mirror with a length that is half their height. They write a letter to a friend explaining their positions mathematically.
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Metric Volume
Master metric measurements. Given the fact that the volume of one milliliter of water is one cubic centimeter, scholars figure out the volume of one liter of water. They must determine the correct unit of length for a unit cube that...
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Measuring the Unit Circle
Here's the right task to investigate right triangles in the unit circle. A short performance task has learners determine the product of two side lengths in a unit circle. They must apply similarity concepts and trigonometric ratios to...
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Maximum Volumes
It's great to have a large swimming pool. An interesting performance task asks learners to optimize the volume of pools for a given surface area. They consider four different shapes for pools and find the maximum volume for each pool.
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Maintain Your Composition
Compose yourself! Learners first use given graphs of functions f and g to graph the composition function f(g(x)) and identify its value for a specific input. They then consider functions for which f(g(x)) = g(f(x)).
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Losing Track
Don't lose the chance to use the task. Given three diagrams of curved pieces of wires, young mathematicians must explain whether it's possible to conclusively match the wires as representing cubic, exponential, or quadratic functions....
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Look High and Low
From the highest high to the lowest low here's a resource that won't fall flat. Given data on the area and the highest and lowest elevations of each of the 50 states, learners decide which states are the least flat and the most flat. Of...
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Look but Do Not Touch
We seem to keep missing each other. A short task provides pupils with a quadratic function, as well as a linear function with a missing coefficient. They must determine the value of the coefficient for which the graphs do not intersect.
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Dubious Dice
How many ways can you slice dice distribution? A short performance task asks pupils to consider different types of distributions. Given histograms showing a triangular distribution and a bimodal distribution, they create pairs of dice...
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"Equal" Equations
Different equations, same solution. Scholars first find a system with equations y1 and y2 that have a given solution. They then find a different system with equations y3 and y4 that have the same solution. The ultimate goal is to...
Spreading Gratitude Rocks
Values Survey
What are the most important values a person possesses? Teens and parents take a collaborative survey and discuss what values are important to them. They return the signed form to the teacher to confirm they completed the activity.
Spreading Gratitude Rocks
Generation of Respect
R.E.S.P.E.C.T. Learners find out what it means to them. Scholars write sentences, do a word sort, and list what makes them grateful. Additionally, pupils learn how to be more respectful by completing worksheets that would make Aretha...
Curated OER
7 Habits of Highly Effective Teens
How many good habits does it take to be a successful adolescent? According to The 7 Habits of Highly Effective Teens by Sean Covey, just seven! Using the worksheets, learners answer personal growth questions and develop strategies for...
Curated OER
Gulliver's Travels Discussion Questions
Good discussion questions are hard to find and even harder to craft. If you're looking for questions that will stimulate in-depth discussions for all four books in of Jonathan Swift's Gulliver's Travels, check out this resource.
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King for a Day
Rumor has it exponential functions help solve problems! In a kingdom filled with rumors, young scholars must determine the speed a rumor spreads. The ultimate goal is to decide how many people must know the rumor for it to spread to the...
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Isosceles Triangle Spaces
How many different types of triangles can your class name? A discovery lesson guides learners through an exploration of the different triangle types and the relationships between their angles and sides. Using coordinate geometry,...
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Intersections I
One, two, or zero solutions—quadratic systems have a variety of solution possibilities. Using the parent function and the standard form of the function, learners describe the values of a, b, and c that produce each solution type. They...
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In a Triangle
What's in a triangle? Just 180 degrees worth of angles! Young learners use given angle relationships in a triangle to write an algebraic representation. Using a system of equations, they simplify the equation to a linear representation.