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Practice problems are an ongoing practice in learning mathematics that requires a tremendous amount of grit. Perhaps more than any other subject, math traditionally requires an ample amount of rote memorization.

However, there are those that argue that this rote memorization (such as times tables) aren’t needed with the existence of calculators. Hold a debate that examines this argument.

Using your knowledge of the algorithm, research how these concepts could be used to advertise a business or nonprofit. Partner with a local organization, offering to manage their social media, developing a content and branding strategy to increase engagement.

Read this article from Big Think titled Can mathematics be spiritual? Ask Einstein. Notice how mathematicians have connected religion and mathematics, exploring how faith can be used (and doesn’t have to be used!) as a mechanism for purpose-finding.

Develop a committee that focuses on student’s interpretations of success and happiness in the school. How many students have realistic expectations for what they want to do? Provide resources for students to help them achieve happiness.

Organize a class trip to a local site of faith, for example a Buddhist temple or a Islamic mosque. Work with local community leaders to establish a program on learning about the faith, including how the core beliefs of the religion and the ways they give back to the community. Create pamphlets to encourage your peers to attend.

Look at the impact of environmental racism on communities. Consider studying how lead poisoning affects people and why it matters that we care for all people in communities.

Misleading Graphs is a great resource to help students understand how to lie and mislead with statistics and graphic information. Have students improve upon the examples on the site. Give students a data set and have them create their own “misleading graph”!

Doodling can help us take complex ideas and get them on paper. Seeing all of these ideas at once helps us visualize concepts and break them down.

Task students with considering all the things that they want to accomplish in their life. Have them write these ideas on paper, then doodle/draw sketches of each.

Consider the unique benefits that children, adolescents, and adults offer society. It’s not that we’re all the same, but that we all contribute equally fascinating perspectives to the world around us. Check out the research on this!

The way mathematics was applied to study these different concepts was often used to advance science, specifically exploring the Earth. Demonstrate how different mathematical inquiries led to scientific breakthroughs in astronomy, cartography, and oceanography.

As people begin to demand more opportunities for personal time, more and more workplaces are offering 4 day workweeks. What impact does this have on the world? Examine how this practice impacts society.

Scientist Finds Secret to Thriving: Using this or other studies/survey data as a starting point, develop an understanding of how scientists could study something like well-being, happiness, or thriving. How can the scientific method evaluate something so subjective? Create your own methodology or survey and perform a similar study with a group in your school or community. What have you found? What are the limitations of your research?

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Similar to the language art extension, explore the idea of subjectivity in art and the artist's personality in interpreting life events through art. For example, tarot card readings, the impact of WW1 on visual arts, or Picasso's art periods.

Consider the concept of scale. How much larger is a building in your community to a person? The land mass of your city to your country? Earth to Jupiter? Explore the mathematical possibilities of scale (and with it, distance!)

Consider how animals and humans relate through verbal and body language. This article demonstrates how canines has evolved to understand our behaviors, turning them into faithful companions. How does this compare to other domesticated animals? Could other animals evolve to be companion animals?

Connect the ideas in the lesson below to historical inventions. What would a pitch look like for various historical novels: such as the printing press, telephone, or radar? Would all constituents be for their use? Who would be for and against these ideas? Were they accepted during their time?

Expand beyond the inwards/outwards identity activity to other methods of expressing one’s identity through artistic expression. For example, have students identify issues that matter to them and have them express these ideas in a specific art style. Examine how various social justice movements utilize art to demand change.

Perform in-depth research about a community in your neighborhood. Interview and speak to the residents and learn about their traditions, celebrations, and lifestyles. How does it differ from what you do at home? Prepare a report that can be shown off to other residents.

Scientists are frequently making discoveries that have a wide-ranging impact on society. Consider all of the accidental discoveries that scientists have made. How has this impacted the systems of our society?

When considering city planning, it’s worthwhile to imagine our communities in the past or in the future. Either by conducting historical research or by looking at upcoming initiatives, create a model of your community in the past or future. Document how it differs from today and why that matters.

Do you think there’s something that everyone should learn about? Prepare a formal proposal for changing your school’s curriculum and present it to building leaders.

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Read about how school affects burn out. This guide written for teachers can be analyzed with students to identify pain points, recognize ways to improve the classroom, and have an open dialogue about stress and frustration.

Brainstorm and develop an idea for a new social media platform that brings people together. How would it function? Why would people want to use it? Use a UI/UX software like Figma to plan out and demonstrate your ideas.

Great art is often done in partnership with others. Reach out to local artists to listen, learn, and improve on. Who are the great local artists of your area? What do they specialize in? Research more about them and conduct interviews on their tips and techniques. Then, use this work to inform your own.

Read about how people fall into homelessness and the struggles that people face, including financial barriers to gaining housing.

Examine how different cultures deal with the idea of death. Do cultural differences change their opinion of expanding the science of age reversal and expansion? What about in other scientific inquiries? At what point does culture outweigh the need for scientific advancement?

Consider how the design thinking process compares to the Scientific Method. Is there a possibility that one could replace the other? Read this challenge from the Oxford University Press.

What is happiness? What is extreme happiness? Beyond the simple act of being content, it’s something else entirely to be euphoric. Conceptualize an art project that manifests a state of mania.

Stories in various mediums (such as books, movies, lyrics, and games) are one of the best ways to develop an emotional connection on perceived harms, bullying, and counteracting hate. Encourage students to share stories of when they’ve felt disrespected, either by other students or by educators, and give them private spaces to share these and learn from each other.

Governments are vast systems that are upheld entirely by a social contract: people listen and act according to a series of laws they choose to uphold. How easy would it be to break these laws? Why is it that people decide to go along with them? Consider how laws are enforced, why people follow them, and what impact would be made if people introduced unreasonable laws or enforcement mechanisms.

Research methods of allyship and informing others on positive ways to counteract the stereotype threat, including having conversations, bringing people together, and practicing anti-racism.

Research a concept of “future technology” by contacting an academic at a local or regional university. Find a topic that interests you, conduct an interview, and consider the ethical implications of incorporating this idea. Present this idea!