Full five-day teaching plan, worked answers, energy-budget explanations, accommodations and a separate human-reviewed scoring rubric.
Course position and academic aim
Students now connect Week 10's work–energy theorem with energy storage and transformation. Essential question: How does system configuration store energy? This develops energy representations related to HS-PS3-2 while emphasizing systems, mathematical models and conservation; this week alone does not establish full mastery of the entire performance expectation.
Prerequisites: ½mv², net work, positive mass, Newtonian speed and the joule. A basic familiarity with square roots, squared quantities and units is helpful. Students may use a formula card and the printable model-generated datasets.
Monday — Gravitational configurations
8-minute launch: Is a book supported above a floor storing energy? Define the Earth–object system and the chosen floor reference.
15-minute explanation: ΔU_g=mgΔh; U_g=mgh relative to the specified zero, only when g approximately constant. Changing the zero does not change ΔU_g.
15-minute worked example: 2 kg at 5 m with g=9.8 gives 98 J. At 3 m, U=58.8 J; the difference is −39.2 J.
Exit and reflection: Distinguish zero potential relative to a datum from zero gravity.
Model: A body released from rest at H=5 m reaches h=3 m. Initially U0=98 J for m=2 kg. Released energy=39.2 J. With f=0, K=39.2 J and v≈6.26 m/s. With prescribed transfer f=25%, other accounted energy=9.8 J, K=29.4 J, U=58.8 J, speed≈5.42 m/s. Sum 58.8+29.4+9.8=98 J.
Misconception: The selected f fraction is not physically derived from drag. The model does not predict collision after reaching h=0.
Activity: Compare identical masses/heights at different f values; explain changing kinetic energy and constant total.
Model: Hooke-linear spring U_s=½kx². For k=200 N/m, x0=20 cm=0.20 m: U0=4 J. At x=10 cm=0.10 m, U=1 J and released energy=3 J. For f=0, K=3 J and m=1.5 kg implies speed magnitude=√(2×3/1.5)=2 m/s.
Misconception: Doubling compression does not merely double energy; it quadruples energy at fixed stiffness. The formula assumes deformation within the linear Hooke-law regime.
Activity: Match stiffness and compression comparisons, including careful centimeters-to-meters conversion.
Model comparison: For the gravitational example with f=25%, U=58.8 J, K=29.4 J and E_other=9.8 J give total 98 J. For the spring example with f=25%, U=1 J, K=2.25 J, and other energy=0.75 J give total 4 J.
Scientific distinction: Mechanical energy is not conserved in this ledger when f>0; total accounted energy is conserved. The fraction is a user-chosen modeling parameter, not a material's measured loss coefficient.
Student evidence: At least three gravity and three spring trials, two matched controls, both JSON exports, one algebraic proof and one limitation.
Students produce a claim–evidence–reasoning portfolio with a gravity and spring energy ledger, correct joule units, energy diagrams, and a counterclaim addressed. Teach that U belongs to an interacting system, mechanical energy can be transferred out of modeled mechanical forms, and total energy stays accounted for.
Ten randomized open-book formative questions from a 20-question bank supply corrections and a goal of 80%. Public source-code quizzes are not confidential supervised midterms or final examinations.
Accurately identifies system boundary and energy transformation.
Calculations · 4
Two correct worked numerical examples with SI units, reference levels and metric conversions.
Energy diagrams · 4
Potential, kinetic and other energy accounted correctly in a complete ledger.
Reasoning · 4
Uses mgh and ½kx² appropriately, distinguishing ideal mechanical conservation and broader energy accounting.
Limitations/corrections · 4
Identifies nonphysical assumptions or missing phenomena and corrects one misconception.
Review target: 16/20 = 80%. Separate educator-approved supervised examinations remain necessary for confidential midterm/final grading.
Accessibility and differentiation
Foundation: provide precomputed bars and hand-drawn energy tiles, a metric conversion reference and the CSV data instead of interactive SVG. Core: use conservation equations to explain two controlled comparisons. Extension: derive spring-energy ratios and compare system boundaries with work by external forces.
The five original khae_high_science_evidence_v1: journal keys are preserved. New records remain in independent Week 11 browser-local stores with JSON portability, not cloud sync. Dormant STOS code is not touched.