10th Grade Summer Adventure
Geometry, chemistry, and college-ready habits.
Ages 15–16
Your daily adventure rhythm
⏱️ ~180 min- ⚡
1 · 10 min
Warm-Up / Do Now
Quick retrieval: math fluency, vocabulary, or grammar.
- 📐
2 · 50 min
Math / Geometry
Core geometry skill plus Algebra II readiness.
- 📖
3 · 40 min
Reading & Rhetorical Analysis
Close reading, rhetoric, and command of evidence.
- ✍️
4 · 30 min
Writing
Argument, analysis, research, and synthesis writing.
- 🤸
5 · 10 min
Movement / Brain Break
Walk, stretch, hydrate, and reset.
- 🔬
6 · 30 min
Science or Social Studies
Alternate Chemistry and Social Studies by day.
- 📚
7 · 10 min
Independent Reading
Free-choice book; log the title and page count.
13 themed weeks
Foundations of Reasoning (Logic, Proof & Argument)
Days 1–7
🎯 Project: Three Lenses on One Claim: write a deductive argument, a rhetorical breakdown of ethos/pathos/logos, and a scientific framing with a testable question and variables.
- Use precise geometric definitions …
- Write conditionals, converses, inv…
- Identify a writer's claim, reasons…
Lines, Angles & Parallelism
Days 8–14
🎯 Project: Angle Hunt + Slope Map: photograph or sketch six real-world angle pairs labeled by type, then map a path with two parallel and two perpendicular segments and list all slopes.
- Identify and solve angle pair rela…
- Apply parallel-line angle theorems…
- Find slopes of parallel and perpen…
Triangles & Congruence
Days 15–21
🎯 Project: Proof Portfolio: write three complete two-column proofs (SAS, ASA, and a CPCTC conclusion) with labeled diagrams, plus a half-page literary character analysis.
- Apply the Triangle Sum and Exterio…
- Prove triangles congruent using SS…
- Use CPCTC in proofs.
Triangle Properties & Inequalities
Days 22–28
🎯 Project: Research Proposal + Annotated Bibliography: choose a research question, find three credible sources with MLA citations and short annotations, and draft a working thesis.
- Apply isosceles and equilateral tr…
- Identify medians, altitudes, bisec…
- Use the Triangle Inequality and th…
Similarity & Proportional Reasoning
Days 29–35
🎯 Project: Rhetorical Analysis Essay (draft): a four-to-five paragraph essay analyzing how a chosen speech achieves its purpose, citing at least three strategies with textual evidence.
- Set up and solve proportions and a…
- Prove triangles similar (AA, SSS~,…
- Apply geometric mean and side-spli…
Right Triangle Trigonometry
Days 36–42
🎯 Project: Argument Essay (final): a five-paragraph argument with thesis, two evidence-based body paragraphs, a counterclaim and rebuttal, and a conclusion, with cited sources.
- Apply the Pythagorean theorem and …
- Use 45-45-90 and 30-60-90 special …
- Use sine, cosine, tangent, and inv…
Quadrilaterals & Polygons (Midpoint Review)
Days 43–49
🎯 Project: Synthesis Essay: a four-to-five paragraph essay integrating at least three sources with in-text citations and a Works Cited list, plus a mid-summer cumulative mini-review.
- Classify quadrilaterals and apply …
- Compute interior and exterior angl…
- Prove a quadrilateral is a paralle…
Area, Perimeter & Coordinate Geometry
Days 50–56
🎯 Project: Coordinate Geometry City Plan: design a grid map with five buildings and connecting roads, compute total road length and a park's area, plus a one-paragraph poem analysis.
- Compute areas of triangles, parall…
- Use the distance and midpoint form…
- Write equations of lines and parti…
Circles
Days 57–63
🎯 Project: Circle Design + Stoichiometry Lab Report: a compass-and-straightedge design using arcs and sectors with computed measurements, plus a one-page report solving a three-step stoichiometry problem.
- Use circle vocabulary and compute …
- Apply central, inscribed, and tang…
- Use chord, secant, and tangent seg…
Surface Area & Volume (3-D Geometry)
Days 64–70
🎯 Project: Literary Analysis Essay (final) on a story's theme with cited evidence, plus a Volume Engineering task designing a container of a target volume and computing its surface area.
- Compute surface area and volume of…
- Apply Cavalieri's principle and sc…
- Solve density problems connecting …
Transformations & Symmetry
Days 71–77
🎯 Project: Research Paper (draft): a four-to-six paragraph researched argument with thesis, three or more cited sources, and Works Cited, plus a transformation art piece using three or more transformation types.
- Perform translations, reflections,…
- Identify symmetry and compositions…
- Describe sequences of transformati…
Probability, Data & Algebra II Readiness
Days 78–84
🎯 Project: Research Paper (final) with full citations and Works Cited, plus a Data & Algebra Skills Set solving a probability problem, interpreting a data display, and factoring two quadratics.
- Compute geometric and basic compou…
- Interpret data displays, two-way t…
- Factor and solve quadratics and wo…
Capstone: Synthesis & Showcase
Days 85–90
🎯 Project: Sophomore Summer Showcase: a portfolio and presentation with one explained multi-step geometry problem, a revised best essay, a chemistry concept map with a full stoichiometry problem, and a cited civic claim with proposed informed action.
- Synthesize geometry across topics …
- Deliver a polished piece of writin…
- Demonstrate chemistry reasoning fr…