Fukushima Entrance Science study plan

Define and apply the core kinematics quantities (displacement, velocity, acceleration) to solve one-dimensional motion problems with constant acceleration using the standard equations.

Construct and interpret position-time and velocity-time graphs, extracting slope and area to determine velocity and displacement, and solve at least 15 practice problems.

State Newton's three laws in your own words and apply F = ma and free-body diagrams to single-body problems involving friction and inclines.

Build a one-page formula sheet for mechanics with units and a note on when each equation applies.

Apply work-energy theorem and conservation of mechanical energy to solve problems with and without non-conservative forces.

Define and compute momentum, impulse, and analyze elastic versus inelastic collisions in one dimension.

Describe circular motion and identify the centripetal force in given physical situations.

Explain the difference between scalar and vector quantities and resolve vectors into components for two-dimensional problems.

Describe wave properties (wavelength, frequency, amplitude, speed) and apply v = fλ to solve problems.

Explain the particle and wave models of light, including the photoelectric effect conceptually, and solve basic photon-energy problems.

Define electric charge, current, voltage, and resistance, and apply Ohm's law and series/parallel rules to simple circuits.

Identify the structure of the atom (protons, neutrons, electrons, isotopes) and relate electron configuration to periodic trends.

Balance chemical equations and classify reactions (synthesis, decomposition, single and double replacement, combustion).

Apply the mole concept and molar mass to convert among mass, moles, and number of particles, solving at least 20 stoichiometry problems.

Use the periodic table to predict ionic charge, bond type, and formula of common compounds.

Name and write formulas for common inorganic compounds using standard nomenclature rules.

Distinguish acids and bases using Arrhenius and Brønsted-Lowry definitions, and compute pH from hydrogen-ion concentration.

Explain oxidation and reduction in terms of electron transfer and identify the oxidizing and reducing agents in a given reaction.

Describe intermolecular forces and use them to explain boiling point and solubility trends.

Apply the ideal gas law and gas laws to solve pressure-volume-temperature problems.

Describe cell structure and function for prokaryotic and eukaryotic cells, and compare plant, animal, and bacterial cells.

Explain the processes of photosynthesis and cellular respiration, identifying inputs, outputs, and locations within the cell.

Describe DNA structure, replication, transcription, and translation, and relate a gene to a protein.

Explain mitosis and meiosis, and contrast their purposes and outcomes.

Explain Mendelian inheritance, including dominant and recessive alleles, genotype versus phenotype, and solve monohybrid and dihybrid crosses.

Describe natural selection and evolution, and give examples of evidence from fossils, comparative anatomy, and molecular data.

Describe the structure of Earth (crust, mantle, core) and the theory of plate tectonics, including evidence for continental drift.

Explain the rock cycle and classify rocks as igneous, sedimentary, or metamorphic.

Review and consolidate the weakest topics identified in your error logs from weeks 1 through 7.

Complete two full-length timed practice exams under exam conditions, one at the start of the week and one near the end.

Analyze each missed question by cause (concept gap, calculation error, misread question) and record it in an error log.

Re-derive the 20 most frequently used formulas from memory without notes.