To create our collection of 30 Hope "goals", we trained AI to help us imagine what humanizing standards-based teaching could look like. The goal wasn’t automation — it was amplification.

By teaching AI the values of the Hope Wheel, we asked it to generate examples that begin and end in human purpose — the six verbs that guide humanizing design: Love, Protest, Restore, Invest, Inspire, and Create. 

These verbs represent how teachers and students can use mathematics to build, heal, and reimagine their world.
In doing so, we explored  Authentic Intelligence — the use of AI not to replace human creativity, but to humanize it, to make space for purpose, care, and connection in our work. (Read about it here: Authentic Intelligence in STEM: Humanizing Learning with AI

As you explore these 30 Hope Goals based on Common Core high school mathematics standards, ask yourself:

• What might it mean to design every lesson with Hope at its center?

• What changes when our goals name humanity as clearly as they name skills?

• And what would our classrooms feel like if students saw mathematics as a way to love, build, resist, and restore the world they live in?
  
  

Each goal begins and ends in Hope.
May they help you design yours.

Love: We will nurture fair access to neighborhood jobs through building and solving linear equations, so that we propose transparent wage calculators for teens.CCSS: A-REI.3 (solve linear equations and inequalities in one variable).

Protest: We will speak up about data caps in low‑income phone plans through graphing and interpreting linear inequalities in two variables, so that we advocate for more equitable data policies.CCSS: A-REI.12 (graph solutions to a linear inequality as a half‑plane).

Restore: We will repair after‑school scheduling conflicts through modeling and solving systems of linear equations, so that more students can participate.CCSS: A-REI.6 (solve systems of linear equations exactly and approximately).

Invest: We will invest in family budgeting plans by constructing functions from contextual data and describing how one quantity depends on another, so that we track savings toward shared goals.CCSS: F-BF.1 (write a function that describes a relationship between two quantities).

Create: We will create a fair pricing model for a student‑run snack cart by interpreting slope and intercepts in context, so that we sustain the enterprise for our class.CCSS: F-IF.6 (calculate and interpret the average rate of change).

Create: We will create safer shoreline warnings by modeling tides with sinusoidal functions and interpreting amplitude, period, and phase, so that alerts are timed accurately.CCSS: F-TF.5 (choose trigonometric functions to model periodic phenomena and interpret key parameters).

Invest: We will invest in solar potential by using unit‑circle definitions and right‑triangle ratios to choose panel tilt angles, so that output is maximized.CCSS: F-TF.2 (explain how the unit circle leads to circular trigonometric functions).

Restore: We will restore stadium sound quality by applying trigonometric identities to align phases and reduce echo, so that announcements are clear.CCSS: F-TF.9 (prove and apply trigonometric identities).

Inspire: We will inspire community runners by fitting sinusoidal models to heart‑rate data and interpreting parameters, so that training plans support wellness.CCSS: F-TF.5 (model periodic phenomena and interpret parameters).

Protest: We will challenge noise pollution near schools by modeling directional sound using bearings and trigonometric ratios, so that we recommend effective barriers.CCSS: G-SRT.8 (solve problems with right‑triangle trigonometry).

Inspire: We will inspire local music producers by modeling beats and fade‑outs with exponential and logarithmic functions and explaining parameters, so that live mixes sound better.CCSS: F-LE.5 (interpret parameters in terms of a context).

Create: We will create enrollment forecasts for community classes by composing functions and reasoning about inverses to undo processes, so that programs meet real demand.CCSS: F-BF.4 (find inverse functions and verify by composition).

Invest: We will invest in fair food‑share routes by defining piecewise functions and analyzing domain and range for realistic constraints, so that distribution matches capacity.CCSS: F-IF.7b (graph piecewise-defined functions and show key features).

Love: We will care for family traditions by modeling multi‑step recipe conversions using function composition and consistent units, so that recipes scale for gatherings.CCSS: N-Q.1 (use units as a way to understand and guide the solution).

Protest: We will speak up about surge pricing by comparing average rates of change from graphs and tables, so that we critique unfair cost spikes with evidence.CCSS: F-IF.6 (calculate and interpret average rate of change from a graph or table).

Love: We will care for neighborhood air quality by using derivatives as rates of change to analyze pollutant trends, so that we suggest times and routes that reduce exposure.CCSS: N/A — beyond HS CCSS (Calculus extension).

Create: We will create efficient delivery routes by optimizing distance or time with derivatives and constraints, so that local services cut fuel use.CCSS: N/A — beyond HS CCSS (Calculus extension).

Invest: We will invest in river restoration by modeling total pollutant load with integrals (accumulation), so that cleanup intervals are prioritized.CCSS: N/A — beyond HS CCSS (Calculus extension).

Protest: We will challenge dynamic pricing by comparing marginal cost and marginal revenue using derivatives, so that we argue for fairer pricing models.CCSS: N/A — beyond HS CCSS (Calculus extension).

Inspire: We will inspire safer road design by analyzing curvature and related rates in turning scenarios, so that recommended speeds and banking angles are evidence‑based.CCSS: N/A — beyond HS CCSS (Calculus extension).