# Start biology with one main text and a quantitative check — Study worksheet [Study guides](https://unireadinglist.com/guides/biology-foundations/) [Course topic: General Biology](https://unireadinglist.com/subjects/biology/#course-general-biology) Sources checked: 2026-11-03 Study route and exercise: University Reading List editorial project. For learners beginning university biology with school-level chemistry and algebra. Chapter numbers refer to OpenStax Biology 2e and the US Campbell Biology 12th edition; Cell Biology by the Numbers is a targeted companion, not a substitute for organismal biology or ecology. The activities and fictional cube-cell example are written for this site, not taken from publisher assignments. ## Choose your starting point - [ ] I need a free main text Use Biology 2e in its official web or PDF version. Follow the six outputs below before deciding whether a different text solves a specific problem. Free reading does not include enrollment, laboratory instruction or assessment. - [ ] My course assigns Campbell Match the exact edition and format to your syllabus, and use its assigned questions. OpenStax is useful for another explanation, but its chapters and question numbers will not match Campbell. - [ ] I know the vocabulary but cannot judge cell-scale claims Keep your broad text and add selected Size and Geometry entries from Cell Biology by the Numbers. This is a second way of reasoning about cells, not a third survey to read from start to finish. ## Compare the three books ### Biology 2e Mary Ann Clark; Matthew Douglas; Jung Choi · 2 · 2018 Free broad introduction Choose it when: You need an accessible main text spanning cells through ecology and can organize your own practice. Use another route when: Your immediate assignment names a Campbell figure, question or platform entitlement. Selected reading: Use chapters 1–6 for foundations, 12 and 14–16 for inheritance and information, 18–19 for evolution, then 44 and 46 for ecological connections. Limits and trade-offs: Its 47-chapter map differs from Campbell’s 56 chapters. The proposed selections are a starting route, not a complete two-semester course or laboratory replacement. #### Try before choosing After OpenStax chapter 4, draw a typical bacterium, a nucleated animal cell and a photosynthetic plant cell. Label shared structures and two distinctions without consulting a finished diagram. Check your work: All three models need a membrane, cytoplasm, ribosomes and genetic material; only the two specified eukaryotic models have a nucleus. Explain why the selected examples do not establish that every real cell has every labelled organelle. Your notes: ________________________________ ISBN: 9781947172517 [Official free reading](https://openstax.org/details/books/biology-2e) [Book record and access options](https://unireadinglist.com/subjects/biology/biology-2e/) ### Campbell Biology Lisa Urry et al. · 12 · 2020 Assigned-course alternative Choose it when: Your instructor uses the US 12th edition or you already have a compatible copy and want to follow its figures and exercises. Use another route when: You have a suitable free main text and no course-specific reason to obtain another broad survey. Selected reading: Match OpenStax’s cell material to chapters 6–8; genetics to 14 and 16–18; evolution to 22–24; ecology to 52 and 55. Limits and trade-offs: The print ISBN on this record is a 2020 item; the publisher also lists a later eText record. A print ISBN does not establish Mastering access, and old university adoption evidence does not prove current adoption of this edition. #### Try before choosing Use an available 12e sample or legitimate copy of Campbell chapters 6–8. Choose one cell or membrane figure and write what it depicts, which part is a model and one question it cannot answer. Check your work: Separate the visible representation from an inference about mechanism. If locating or interpreting a course-assigned figure is your difficulty, this is a reason for the Campbell route; it is not evidence that a second survey is always necessary. Your notes: ________________________________ ISBN: 9780135188743 [Book record and access options](https://unireadinglist.com/subjects/biology/campbell-biology/) ### Cell Biology by the Numbers Ron Milo; Rob Phillips · 2015 Free numerical companion Choose it when: A claim about size, concentration or rate feels plausible but you cannot explain its units, assumptions or order of magnitude. Use another route when: You need a first explanation of genetics, biodiversity, plant physiology or an entire introductory syllabus. Selected reading: Start with the preface and Size and Geometry introduction; choose one vignette whose organism and conditions fit your question. Limits and trade-offs: Its question-based organization is useful for estimates, but a reported value is not a universal biological constant. Record the organism, conditions and uncertainty before reusing a number. #### Try before choosing Before choosing the numerical companion, estimate molecules in a fictional 1 pL volume at 1 μmol/L, using 6.0 × 10²³ molecules/mol. Write every unit conversion. Check your work: 1 pL = 10⁻¹² L and 1 μmol/L = 10⁻⁶ mol/L, giving about 6.0 × 10⁵ molecules. If you cannot explain the powers of ten, use the introductory text to repair units before collecting biological numbers. Your notes: ________________________________ ISBN: 9780815345374 [Official free reading](https://book.bionumbers.org/) [Book record and access options](https://unireadinglist.com/subjects/biology/cell-biology-by-the-numbers/) ## Check your preparation ### Can you convert a cubic micrometre to litres? Your notes: ________________________________ ### What distinguishes a hypothesis from a measured outcome? Your notes: ________________________________ ### Does the same concentration mean the same number of molecules? Your notes: ________________________________ ## Six steps with a concrete output - [ ] 1. Turn a biological claim into a test Selected reading: Biology 2e chapter 1; Campbell 12e chapter 1. Make this: Write one question, a proposed mechanism, a measurable outcome and a comparison condition. Use a thought experiment or supplied data rather than claiming a new laboratory result. Check your work: Name an alternative explanation and an observation that would make you reconsider the mechanism. Your notes: ________________________________ - [ ] 2. Draw a cell and account for scale Selected reading: Biology 2e sections 4.1–4.3; Campbell chapter 6; Cell Biology by the Numbers, Size and Geometry introduction. Make this: Draw a labelled model with a scale bar, distinguish a compartment from the whole cell, and complete the cube example below. Check your work: Units survive every calculation; distinguish membrane area, enclosed volume and concentration. A diagram is a model, not a microscopy measurement. Your notes: ________________________________ - [ ] 3. Follow matter and energy across a boundary Selected reading: Biology 2e chapters 5–6; Campbell chapters 7–8. Make this: Make a two-column record of what crosses a cell boundary and what changes inside. Explain one transport mechanism and one energy transformation in your own words. Check your work: Matter, energy and information are not interchangeable labels. Identify the concentration or energy conditions your explanation assumes. Your notes: ________________________________ - [ ] 4. Connect inheritance with an expressed trait Selected reading: Biology 2e chapters 12 and 14–16; Campbell chapters 14 and 16–18. Make this: Link a simple inheritance question to a diagram of DNA, RNA and protein, and mark where environment or regulation could change the outcome. Check your work: Separate allele transmission, gene expression and phenotype. A diagram of information flow alone does not predict every trait. Your notes: ________________________________ - [ ] 5. Explain change at the population level Selected reading: Biology 2e chapters 18–19; Campbell chapters 22–24. Make this: Write two rival explanations for a hypothetical population change and list the evidence needed to distinguish selection, chance and environmental effects. Check your work: Do not describe an individual’s need as the cause of inherited adaptive change. State which observations concern individuals and which concern populations. Your notes: ________________________________ - [ ] 6. Connect scales without losing the evidence Selected reading: Biology 2e chapters 44 and 46; Campbell chapters 52 and 55. Make this: Build a one-page concept map linking a cellular process, an organism and an ecosystem. Attach a source or an explicitly labelled assumption to each causal arrow. Check your work: Distinguish energy transfer from matter cycling. Explain which links you can support and which remain questions rather than forcing one story to cover every scale. Your notes: ________________________________ ## Worked exercise: Original example: concentration is not molecule count Compare two hypothetical cube-shaped cells with side lengths 2 μm and 10 μm. Both contain a uniformly dissolved substance at 2 mmol/L. Find each surface area, volume, area-to-volume ratio and approximate molecule count. Assumptions: Treat each cell as a perfect cube with a smooth external membrane. Ignore internal compartments and membrane thickness. The sizes and concentration are invented inputs, not measurements of a named cell type. Use A = 6s², V = s³, 1 μm³ = 10⁻¹⁵ L and Avogadro’s constant rounded to 6.0 × 10²³ molecules/mol. Your notes: ________________________________ ## Change an assumption: Follow-up: divide the model without adding material Replace the two original cubes with one 8 μm cube and eight separate 4 μm cubes. Retain ideal smooth cubes, change concentration to 1 mmol/L, and keep the rounded Avogadro constant 6.0 × 10²³. Assume all faces of the eight cubes are exposed; this is paper geometry, not a cell-division mechanism. Compare total volume, surface area and molecule count. Your notes: ________________________________ ## Before moving on - Select one broad main text and explain why the numerical companion is optional rather than a replacement. - Produce a claim-and-control note, a scaled cell model, a mechanism diagram and a concept map with evidence boundaries. - Recalculate the cube example without looking at the answer and explain what its geometric result cannot establish. ## Answer and interpretation ### Can you convert a cubic micrometre to litres? One μm is 10⁻⁶ m; cubing gives 10⁻¹⁸ m³. Since 1 m³ = 1000 L, 1 μm³ = 10⁻¹⁵ L. Cubing the length conversion is essential. ### What distinguishes a hypothesis from a measured outcome? A hypothesis proposes an explanation with testable implications. A measured outcome is an observation under stated conditions; it may support several competing explanations. ### Does the same concentration mean the same number of molecules? No. Amount equals concentration multiplied by volume. Equal concentrations in different volumes can imply very different molecule counts; check the volume unit first. ### Original example: concentration is not molecule count 1. For s = 2 μm: A = 24 μm², V = 8 μm³ and A/V = 3 μm⁻¹. The volume is 8 × 10⁻¹⁵ L. 2. For s = 10 μm: A = 600 μm², V = 1000 μm³ and A/V = 0.6 μm⁻¹. The volume is 1 × 10⁻¹² L. 3. Convert concentration: 2 mmol/L = 2 × 10⁻³ mol/L. Small-cell amount is 1.6 × 10⁻¹⁷ mol, giving about 9.6 × 10⁶ molecules. Large-cell amount is 2 × 10⁻¹⁵ mol, giving about 1.2 × 10⁹ molecules. 4. The length increases fivefold, area 25-fold and volume 125-fold. Equal concentration therefore produces 125 times as many molecules, while membrane area per unit volume falls fivefold. The larger model contains more molecules but has less external area per enclosed volume. Concentration, total amount and geometry answer different questions. The calculation alone cannot establish transport rate, metabolic demand or the shape of a real cell. Test the result: Repeat with a 4 μm cube: A = 96 μm², V = 64 μm³, A/V = 1.5 μm⁻¹ and about 7.7 × 10⁷ molecules at the same concentration. Explain why doubling length changes volume eightfold, not twofold. ### Change an assumption: Follow-up: divide the model without adding material 1. The single cube has V = 8³ = 512 μm³ and A = 6 × 8² = 384 μm². The eight smaller cubes have total V = 8 × 4³ = 512 μm³ and total A = 8 × 6 × 4² = 768 μm². 2. Both contain 512 × 10⁻¹⁵ L × 10⁻³ mol/L × 6.0 × 10²³ ≈ 3.1 × 10⁸ molecules. Their area/volume ratios are 0.75 and 1.5 μm⁻¹. Partitioning preserves this model’s volume and amount while doubling exposed area. Equal total material need not mean equal boundary area. This does not establish a transport rate or explain how real membranes would be made. Test the result: If the eight cubes touch, some faces cease to be exposed; the 768 μm² external-area claim must then be reconsidered. State the boundary condition before applying the calculation. ## Common mistakes ### Memorizing vocabulary without a mechanism After defining a term, explain what changes, where it changes and what evidence would distinguish your explanation from another. A familiar word is not a causal account. ### Treating a numerical estimate as a universal cell Cell type, growth conditions, shape and measurement method can matter. Preserve units and conditions, and use estimates as checks rather than exact predictions for every organism. ### Assuming chapter numbers transfer between books OpenStax’s DNA chapter is 14; Campbell 12e introduces the molecular basis of inheritance in 16. Match topics and edition identity before transferring a reading task. ## Sources and edition checks - [OpenStax Biology 2e: preface and official free access](https://openstax.org/books/biology-2e/pages/preface) The publisher establishes the broad introductory scope and authorized free web/PDF access. The six outputs are this site’s selected route. - [OpenStax Biology 2e: cell structure chapter map](https://openstax.org/books/biology-2e/pages/4-introduction) The chapter outline verifies the selected cell sections; the cube sizes and concentration are our own exercise inputs. - [Pearson: Campbell Biology, US 12th edition and format-specific ISBNs](https://www.pearson.com/en-us/subject-catalog/p/campbell-biology/P200000007019/9780135188743) The publisher’s contents support the crosswalk. Format-specific dates distinguish the 2020 print ISBN from the later eText item. - [Milo and Phillips: Cell Biology by the Numbers, author preface](https://book.bionumbers.org/preface/) The authors describe the numerical-companion approach; it does not replace a broad biology syllabus. - [Milo and Phillips: Size and Geometry introduction](https://book.bionumbers.org/size-and-geometry-introduction/) This author-hosted section motivates scale checking. Our calculation is independent and reproduces no source exercise or biological measurement. - [OpenStax-hosted distributor print ISBN list (historical)](https://d3bxy9euw4e147.cloudfront.net/oscms-prod/media/documents/Canada_ISBN_list.pdf) The visually checked Biology 2e row confirms print ISBN 9781947172517. This historical list is used only for the identifier, not current prices or availability. These are proposed study activities, not official course assignments or a claim that every book has been read cover to cover. [How we curate](https://unireadinglist.com/editorial/)