✦ Scholar's Grimoire
High School Completion Guide
⚗ Science
Life, physical, and earth science with interactive quizzes
Video Resources
🎥 Professor Dave Explains

Chemistry, physics, biology, and earth science. Short focused videos that skip the fluff.

🎥 CrashCourse

Engaging animated science lessons across all subjects.

🌿 Life Science
Cell Biology
🔬 The Cell: Building Block of Life
Every living thing is made of cells. There are two main types: prokaryotic (no nucleus, like bacteria) and eukaryotic (has a nucleus, like plant and animal cells).
🔮 Key Organelles
1
Cell Membrane - controls what enters and exits the cell. Selectively permeable. Found in all cells.
2
Nucleus - the control center. Contains DNA (genetic instructions). Has a nuclear membrane.
3
Mitochondria - the powerhouse. Produces ATP energy through cellular respiration. "Mighty mitochondria makes energy."
4
Ribosomes - tiny protein factories. Found on the rough ER or floating free in cytoplasm.
5
Vacuoles - storage organelles. Plants have one large central vacuole for water/nutrients. Animal cells have smaller ones.
6
Chloroplasts - found only in plant cells. Site of photosynthesis. Contains chlorophyll (makes plants green).
7
Cell Wall - found only in plant cells. Rigid outer layer that gives structure and support. Made of cellulose.
🌿 Plant vs. Animal Cells
FeaturePlant CellAnimal Cell
Cell WallYesNo
ChloroplastsYesNo
Large VacuoleYesNo (small)
NucleusYesYes
MitochondriaYesYes
☀️ Photosynthesis vs. Cellular Respiration
Photosynthesis: 6CO₂ + 6H₂O + light → C₆H₁₂O₆ + 6O₂
Cellular Respiration: C₆H₁₂O₆ + 6O₂ → 6CO₂ + 6H₂O + ATP (energy)

Photosynthesis happens in chloroplasts (plants, sunlight in). Cellular respiration happens in mitochondria (all cells, energy out). They are essentially reverse reactions.

Genetics and Heredity
🧬 DNA and Genes
DNA (deoxyribonucleic acid) is a double helix molecule found in the nucleus. It carries the instructions for building and running every living organism. A gene is a specific segment of DNA that codes for a trait. Humans have about 20,000 genes on 23 pairs of chromosomes.
⚖ Alleles: Dominant and Recessive
1
Every gene has two copies called alleles - one from each parent.
2
Dominant allele (written as capital letter, e.g. B) - masks the recessive allele when present.
3
Recessive allele (written as lowercase, e.g. b) - only shows up when two copies are present (bb).
4
Genotype = the actual allele combination (BB, Bb, or bb). Phenotype = the visible trait (brown eyes, blue eyes).
▣ Punnett Squares
A Punnett square predicts the probability of offspring traits. Cross a carrier (Bb) with another carrier (Bb):
   B   b
B | BB | Bb |
b | Bb | bb |

Result: 25% BB, 50% Bb, 25% bb
75% show dominant trait, 25% show recessive trait
👨👩 Chromosomes and Sex-Linked Traits
Humans have 46 chromosomes (23 pairs). The 23rd pair determines sex: XX = female, XY = male. Sex-linked traits are carried on the X chromosome. Because males only have one X, recessive traits on it (like color blindness) show up more often in males.

Mutations are changes in DNA sequence. They can be caused by radiation, chemicals, or copying errors. Most are harmless; some affect traits; a few can cause disease.
Ecosystems and Food Webs
🌿 Producers, Consumers, Decomposers
1
Producers - make their own food via photosynthesis. Plants, algae, phytoplankton. Base of every food chain.
2
Primary Consumers - eat producers (herbivores). Rabbits, deer, caterpillars.
3
Secondary Consumers - eat primary consumers. Foxes, frogs, small fish.
4
Tertiary Consumers - eat secondary consumers. Hawks, sharks, wolves.
5
Decomposers - break down dead matter and recycle nutrients. Fungi, bacteria, earthworms.
🔥 The Energy Pyramid (10% Rule)
Only about 10% of energy passes from one trophic level to the next. The other 90% is lost as heat. This is why large predators are rare - there is not enough energy at the top to support many of them.
Producers: 10,000 kcal
Primary Consumers: 1,000 kcal
Secondary Consumers: 100 kcal
Tertiary Consumers: 10 kcal
🌎 Biomes and Biodiversity
Major biomes include: tropical rainforest (hot, wet, most biodiverse), temperate forest, grassland/savanna, desert (low precipitation), tundra (cold, permafrost), and taiga (coniferous forest).

Symbiosis = two species living in close relationship. Types: mutualism (both benefit), commensalism (one benefits, other unaffected), parasitism (one benefits, other harmed).

Carrying capacity = the maximum population an environment can support given available resources. Biodiversity = variety of species in an ecosystem. More biodiversity = more stable ecosystem.
Human Body Systems
🦴 Skeletal and Muscular Systems
The adult human skeleton has 206 bones. Functions: structure, protection (skull protects brain), movement, blood cell production (in bone marrow), mineral storage.

Voluntary muscles are under conscious control (moving your arm). Involuntary muscles work automatically (heart, digestive muscles). Tendons connect muscle to bone. Ligaments connect bone to bone.
❤️ Circulatory System
The heart has 4 chambers: right atrium, right ventricle, left atrium, left ventricle. The left side pumps oxygenated blood to the body; the right side pumps deoxygenated blood to the lungs.

Arteries carry blood away from the heart (usually oxygenated). Veins carry blood back to the heart (usually deoxygenated). Capillaries are tiny vessels where exchange of oxygen and nutrients happens with tissues.
🫚 Respiratory System
Air enters through the nose/mouth, travels down the trachea, into the bronchi, and reaches the alveoli (tiny air sacs in the lungs). Gas exchange happens here: O₂ enters the blood, CO₂ leaves the blood and is exhaled.

The diaphragm is the dome-shaped muscle below the lungs. When it contracts, it flattens and increases lung volume, drawing air in.
🥩 Digestive System
Path of food: Mouth (chewing + saliva begins digestion) → Esophagus (muscular tube) → Stomach (acid + enzymes break food down) → Small Intestine (most nutrient absorption) → Large Intestine (water absorption, compacting waste) → elimination.
🧠 Nervous and Endocrine Systems
Central Nervous System (CNS): brain + spinal cord. Peripheral Nervous System (PNS): all nerves outside CNS. Neurons are nerve cells that transmit signals electrically and chemically.

The endocrine system uses hormones (chemical messengers) released by glands into the bloodstream. Key glands: pituitary (master gland, controls others), thyroid (metabolism), adrenal (stress response, adrenaline).
🦠 Immune System
The immune system defends against pathogens (bacteria, viruses, fungi). White blood cells are the main defenders. Antibodies are proteins that recognize and neutralize specific pathogens. Vaccines work by introducing a harmless version of a pathogen so the immune system learns to recognize it before a real infection.
Evolution Basics
🐋 Natural Selection
Charles Darwin's theory of natural selection works through four key steps:
1
Variation - individuals in a population differ from each other.
2
Inheritance - traits are passed from parent to offspring.
3
Selection - individuals with traits better suited to their environment survive and reproduce more.
4
Time - over many generations, favorable traits become more common in the population.
🐾 Adaptations and Speciation
An adaptation is any trait that helps an organism survive and reproduce in its environment (camouflage, sharp claws, drought resistance). "Survival of the fittest" does not mean strongest - it means best adapted to the current environment.

Speciation occurs when populations of one species become so different (often due to geographic isolation) that they can no longer interbreed. Darwin observed this with finches in the Galapagos Islands - different beak shapes evolved to match different food sources.
🔬 Evidence for Evolution
1
Fossil record - preserved remains show how species changed over time.
2
Comparative anatomy - similar bone structures across different species (homologous structures) suggest common ancestry. Example: human arm, whale flipper, bat wing all share the same bone arrangement.
3
DNA comparison - species that share more DNA are more closely related. Humans share ~98% of DNA with chimpanzees.
4
Vestigial structures - structures that have lost their original function (human tailbone, whale hip bones) suggest shared ancestry.

⚛ Physical Science
Newton's Laws of Motion
⚡ The Three Laws
1
First Law (Inertia) - an object at rest stays at rest, and an object in motion stays in motion, unless acted on by an unbalanced force. Inertia is resistance to change in motion.
2
Second Law (F = ma) - force equals mass times acceleration. More mass needs more force to accelerate. More force produces more acceleration.
3
Third Law (Action-Reaction) - for every action there is an equal and opposite reaction. A rocket shoots gas backward, the gas pushes the rocket forward.
📚 Formulas to Know
F = ma   (Force = mass x acceleration)   unit: Newtons (N)
p = mv   (Momentum = mass x velocity)   unit: kg·m/s
W = mg   (Weight = mass x gravity)   g = 9.8 m/s² on Earth
F = Gm₁m₂/r²   (Newton's Law of Universal Gravitation)

Mass is the amount of matter in an object (kg), same everywhere. Weight is the gravitational force on an object (N), changes with gravity. You weigh less on the Moon, but your mass is the same.

👑 Friction and Gravity
Friction is a force that opposes motion between surfaces in contact. Static friction (holds things still) is greater than kinetic friction (opposes sliding motion).

Gravity is a force of attraction between objects with mass. It depends on the masses of both objects and the distance between them. All objects fall at the same rate in a vacuum regardless of mass (Galileo's discovery).
Energy Types and Conservation
⚡ Kinetic and Potential Energy
KE = ½mv²   (Kinetic Energy = half x mass x velocity squared)   unit: Joules (J)
PE = mgh   (Potential Energy = mass x gravity x height)   unit: Joules (J)

Kinetic energy is energy of motion. Potential energy is stored energy due to position or condition. A roller coaster at the top of a hill has maximum PE and minimum KE. At the bottom, minimum PE and maximum KE.

⚖ Law of Conservation of Energy
Energy cannot be created or destroyed - it can only change form. Total energy in a closed system remains constant. The universe's total energy is fixed.

Common energy transformations: chemical → thermal (burning wood), electrical → light (lightbulb), gravitational PE → KE (falling object).
♨ Heat Transfer
1
Conduction - heat transfer through direct contact. Metal pan on a stove. Metals are good conductors.
2
Convection - heat transfer through fluid (liquid or gas) movement. Hot air rises, cool air sinks, creating a circulation current.
3
Radiation - heat transfer through electromagnetic waves. No medium needed. The Sun heats Earth through radiation across empty space.
📈 Efficiency
Efficiency (%) = (useful energy output / total energy input) x 100

No machine is 100% efficient because some energy is always lost as heat. A car engine is typically 20-40% efficient.

Waves, Sound, and Light
🌊 Wave Properties
1
Wavelength - distance from one crest to the next crest. Symbol: λ (lambda).
2
Frequency - number of waves passing a point per second. Unit: Hertz (Hz). Higher frequency = more energy.
3
Amplitude - height of the wave from rest position to crest. Larger amplitude = more energy (louder sound, brighter light).
4
Wave Speed = frequency x wavelength (v = fλ).
🔊 Sound vs. Light Waves
Transverse waves: particles move perpendicular to wave direction. Light waves, water waves. Can travel through a vacuum.

Longitudinal waves: particles move parallel to wave direction. Sound waves. Require a medium (cannot travel in space).

Speed of light = 3 x 10⁸ m/s (300,000 km/s). The fastest speed in the universe. Sound travels about 343 m/s in air. This is why you see lightning before you hear thunder.
🌈 The Electromagnetic Spectrum
From lowest frequency to highest (lowest energy to highest energy):
Radio → Microwave → Infrared → Visible Light → Ultraviolet → X-ray → Gamma Ray

Longer wavelength <------------------------> Shorter wavelength
Lower energy <------------------------------> Higher energy
Visible light is a tiny portion of the spectrum. Gamma rays are the most energetic and dangerous. Radio waves have the longest wavelength.
🔎 Reflection, Refraction, Diffraction
Reflection: wave bounces off a surface (mirrors, echoes). The angle of incidence equals the angle of reflection.
Refraction: wave bends when it moves from one medium to another (why a straw looks bent in water, why lenses work).
Diffraction: wave bends around obstacles or through openings. Explains why you can hear sound around corners.
Electricity Basics
⚡ Charge and Current
Atoms have protons (+), neutrons (neutral), and electrons (-). When electrons move, we get electric current. Opposite charges attract; like charges repel.

Conductors allow electrons to flow easily (copper, gold, most metals). Insulators resist electron flow (rubber, glass, wood, plastic).
🔌 Circuits and Ohm's Law
Ohm's Law: V = IR   (Voltage = Current x Resistance)

Voltage (V) - electrical pressure/potential difference, unit: Volts. Current (I) - flow of charge, unit: Amps (A). Resistance (R) - opposition to current flow, unit: Ohms (Ω).

Power: P = VI   (Power = Voltage x Current)   unit: Watts (W)
🔋 Series vs. Parallel Circuits
Series circuit: components connected in one loop. Current is the same throughout. If one bulb burns out, all go out. Total resistance = sum of all resistances.

Parallel circuit: components connected in separate branches. Voltage is the same across each branch. If one branch fails, others continue working. Used in home wiring.
🧲 Magnets and Magnetic Fields
Every magnet has a north and south pole. Opposite poles attract; like poles repel. A magnetic field is the region around a magnet where magnetic forces act. Electric current creates a magnetic field (electromagnetism). Generators convert mechanical energy to electrical energy using magnetic fields.

🌎 Earth and Space Science
Plate Tectonics
🏝 Earth's Layers
1
Crust - thin outer layer. Oceanic crust is denser; continental crust is thicker.
2
Mantle - thick layer of hot, semi-solid rock. Convection currents here drive plate movement.
3
Outer Core - liquid iron and nickel. Generates Earth's magnetic field.
4
Inner Core - solid iron and nickel. Extremely hot and under immense pressure.
🎫 Tectonic Plate Boundaries
1
Convergent - plates move toward each other. Oceanic-continental creates subduction zones and volcanoes. Continental-continental creates mountain ranges (Himalayas).
2
Divergent - plates move apart. Creates mid-ocean ridges and rift valleys. New crust forms here.
3
Transform - plates slide past each other horizontally. Creates earthquakes. Example: San Andreas Fault.
🌋 Earthquakes and Volcanoes
Most earthquakes and volcanoes occur at plate boundaries. The Ring of Fire is a zone of intense seismic and volcanic activity around the Pacific Ocean. Earthquakes are measured on the Richter scale (magnitude) and produce seismic waves (P-waves and S-waves). The point of origin underground is the focus; the point on the surface directly above is the epicenter.
Water Cycle and Atmosphere
🌧️ The Water Cycle
1
Evaporation - water from oceans, lakes, rivers turns to water vapor with heat energy.
2
Transpiration - plants release water vapor through their leaves.
3
Condensation - water vapor cools and forms clouds (liquid droplets or ice crystals).
4
Precipitation - water falls from clouds as rain, snow, sleet, or hail.
5
Runoff / Infiltration - water flows into rivers/oceans or soaks into the ground (groundwater).
🌀 Layers of the Atmosphere
From lowest to highest: Troposphere (weather happens here, 0-12 km), Stratosphere (ozone layer here, 12-50 km), Mesosphere (meteors burn up here, 50-80 km), Thermosphere (auroras, space shuttles orbit here, 80-700 km), Exosphere (outer limit, merges with space).

The ozone layer in the stratosphere absorbs harmful UV radiation from the Sun.
The Solar System
🌞 The 8 Planets
My Very Educated Mother Just Served Us Nachos
Mercury → Venus → Earth → Mars → Jupiter → Saturn → Uranus → Neptune

Inner rocky planets (Mercury, Venus, Earth, Mars): small, dense, solid surfaces. Outer gas giants (Jupiter, Saturn): mostly hydrogen and helium, no solid surface. Ice giants (Uranus, Neptune): composed of water, methane, and ammonia ices. Pluto is now classified as a dwarf planet.

🌔 Moon, Seasons, and Eclipses
Seasons are caused by Earth's 23.5-degree axial tilt, not distance from the Sun. When the Northern Hemisphere tilts toward the Sun, it is summer there.

Moon phases occur because we see different portions of the sunlit side as the Moon orbits Earth (~29.5 days).

Solar eclipse: Moon passes between Earth and Sun, blocking sunlight. Lunar eclipse: Earth passes between Sun and Moon, casting a shadow on the Moon.
☢ Asteroids, Comets, and More
Asteroids: rocky bodies mostly in the asteroid belt between Mars and Jupiter. Comets: icy bodies with elliptical orbits; develop a tail as they near the Sun. Meteoroids become meteors when they enter Earth's atmosphere; those that reach the ground are meteorites.
Climate and Weather Patterns
🌤️ Weather vs. Climate
Weather = short-term atmospheric conditions (today's temperature, tomorrow's rain). Climate = the long-term average weather patterns of a region over decades.

Factors affecting climate: latitude (closer to equator = warmer), altitude (higher elevation = cooler), ocean currents (warm or cold currents moderate nearby climates), geography (mountains create rain shadows).
🌎 Greenhouse Effect and Climate Zones
The greenhouse effect: Earth's atmosphere traps some of the Sun's heat (like a greenhouse). Greenhouse gases (CO₂, methane, water vapor) absorb and re-emit infrared radiation. This is natural and necessary; human-added greenhouse gases are enhancing it, driving climate change.

Tropical zone (near equator): hot and wet. Temperate zone (mid-latitudes): four seasons, moderate temperatures. Polar zones (high latitudes): cold year-round.
🌪️ Air Masses and Fronts
Cold front: cold air mass moves in and pushes under warm air. Brings sudden storms, then cooler temperatures. Shown on maps as a blue line with triangles.

Warm front: warm air mass moves in over cold air. Brings gradual precipitation. Shown as a line with semicircles.

Humidity = amount of water vapor in air. High air pressure = fair weather; low air pressure = stormy weather. Severe weather types: tornadoes, hurricanes, blizzards, thunderstorms.