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"../releases/atlas-0.1-foundations-candidate.json#block=block:procedures:transfer-check", "content_hash": "b0f34facd91988196ced6d24bc808ae9b0ba0ad19980a35a149ea8ecc9066f4f", "source_ids": [], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "lesson:measurement-and-uncertainty:v2", "kind": "lesson", "title": "Measurement and uncertainty", "summary": "Turn an instrument reading into an honest claim by naming the method, separating scatter from offset, and reporting only the precision the evidence supports.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#lesson=lesson:measurement-and-uncertainty:v2", "content_hash": "36d948e394f9a1df8445f2d21f856038ce1c7e729512105ddf82be51f67a0e9d", "source_ids": [ "source:openstax-physics-units", "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "objective:measurement:report-result", "kind": "learning_objective", "title": "Report a measured value with a unit, an uncertainty, and the convention used to estimate that uncertainty.", "summary": "Report a measured value with a unit, an uncertainty, and the convention used to estimate that uncertainty.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#objective=objective:measurement:report-result", "content_hash": "b8ab586bcc3ad3e42c342556d426e7422542d002ddc68071f175b944b2de3328", "source_ids": [ "source:openstax-physics-units", "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "objective:measurement:diagnose-error", "kind": "learning_objective", "title": "Distinguish limited resolution and trial-to-trial scatter from a shared offset that repetition alone cannot reveal.", "summary": "Distinguish limited resolution and trial-to-trial scatter from a shared offset that repetition alone cannot reveal.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#objective=objective:measurement:diagnose-error", "content_hash": "3ea037faed91523be25003dc1fec145ac41dafd04661dd1d660f59612e8e2d2b", "source_ids": [ "source:openstax-physics-units", "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "objective:measurement:compare-precision-accuracy", "kind": "learning_objective", "title": "Use repeated values and a reference value to compare precision and accuracy without treating them as synonyms.", "summary": "Use repeated values and a reference value to compare precision and accuracy without treating them as synonyms.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#objective=objective:measurement:compare-precision-accuracy", "content_hash": "70a0750f61d41f58f12b17f741c6b6743b81b2e8d49c35dac05c599001835aa5", "source_ids": [ "source:openstax-physics-units", "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:opening", "kind": "content_block", "title": "block:measurement:opening", "summary": "Orient · A reading becomes evidence only when the procedure travels with it", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:opening", "content_hash": "38c4bfedb6924acd146cce563779918dc1c60ac4a89cd6e4c434ac93d2100ba5", "source_ids": [ "source:openstax-physics-units" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:report-equation", "kind": "content_block", "title": "x = x̂ ± u, with unit and uncertainty convention stated", "summary": "Orient · A reading becomes evidence only when the procedure travels with it", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:report-equation", "content_hash": "5bbdceecca54d34abb2a1a524d35a1807ca1e160713359c8a141f6a9d9181a0b", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:display-misconception", "kind": "content_block", "title": "If a calculator or digital instrument prints six decimal places, all six digits are established by the measurement.", "summary": "Orient · A reading becomes evidence only when the procedure travels with it", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:display-misconception", "content_hash": "fffd04590607c68e9ee14715a0e601db5a7f0cffea72e8c83872c31029e3cb63", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "misconception:measurement:display-certainty", "kind": "misconception", "title": "If a calculator or digital instrument prints six decimal places, all six digits are established by the measurement.", "summary": "Display digits can exceed the resolution and stability of the measuring process. Arithmetic can propagate digits without creating information.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#misconception=misconception:measurement:display-certainty", "content_hash": "fffd04590607c68e9ee14715a0e601db5a7f0cffea72e8c83872c31029e3cb63", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:report-check", "kind": "content_block", "title": "block:measurement:report-check", "summary": "Orient · A reading becomes evidence only when the procedure travels with it", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:report-check", "content_hash": "b426eae31fb8121b4e4c9fd5e895ab66f5e46ebfecf891009cd157c2e960e613", "source_ids": [], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:scatter-explanation", "kind": "content_block", "title": "block:measurement:scatter-explanation", "summary": "Model · Repetition shows scatter; a reference exposes offset", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:scatter-explanation", "content_hash": "0a1309aa23ca91eeb159ea992881ce603d4edd226d9411fdc44dab7fa54f1de0", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:cluster-figure", "kind": "content_block", "title": "Precision and accuracy answer different questions", "summary": "Model · Repetition shows scatter; a reference exposes offset", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:cluster-figure", "content_hash": "c0658244c45eeeacbcfba5c101c67a155b5ed7c73ca4cb89d65cfdb628b32361", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:diagnostic-table", "kind": "content_block", "title": "What each diagnostic can and cannot reveal", "summary": "Model · Repetition shows scatter; a reference exposes offset", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:diagnostic-table", "content_hash": "961755e52bb3807fdec030de123d37c1ecb1bace85a393c9202142eac0aa5e66", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:repeat-misconception", "kind": "content_block", "title": "Taking more measurements automatically removes every measurement error.", "summary": "Model · Repetition shows scatter; a reference exposes offset", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:repeat-misconception", "content_hash": "383b8b6d716bc14282568c324a42113c83cc712118728b2c3aab1a607fc3d7a8", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "misconception:measurement:repeat-removes-bias", "kind": "misconception", "title": "Taking more measurements automatically removes every measurement error.", "summary": "More trials can stabilize an estimate of a centre and characterize scatter, but the same offset can shift every trial in the same direction.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#misconception=misconception:measurement:repeat-removes-bias", "content_hash": "383b8b6d716bc14282568c324a42113c83cc712118728b2c3aab1a607fc3d7a8", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:error-check", "kind": "content_block", "title": "block:measurement:error-check", "summary": "Model · Repetition shows scatter; a reference exposes offset", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:error-check", "content_hash": "2cea5750274c61bf72913a525879cfb8030604bf7c55a8edc577dc88c0cc883c", "source_ids": [], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:timing-example", "kind": "content_block", "title": "Worked example — report repeated timing trials", "summary": "Formalize · Compute a summary without pretending it is the whole experiment", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:timing-example", "content_hash": "3abaa4f6d7b088784060929180b965de6aa267b4231a933404487ac145240b07", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:percent-equation", "kind": "content_block", "title": "percent uncertainty = (u / |x̂|) × 100 percent", "summary": "Formalize · Compute a summary without pretending it is the whole experiment", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:percent-equation", "content_hash": "896c2c0dfa33792692c762da98596ec19ce62a836d2044159193594537190b5e", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:percent-example", "kind": "content_block", "title": "Worked example — decide whether a stopwatch can separate two results", "summary": "Formalize · Compute a summary without pretending it is the whole experiment", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:percent-example", "content_hash": "c70b2aeae03ab14bea122b9d99bdab5e8754d6f29889a262eabe1d1c715776f8", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:precision-misconception", "kind": "content_block", "title": "Precise measurements must be accurate because they agree closely with each other.", "summary": "Formalize · Compute a summary without pretending it is the whole experiment", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:precision-misconception", "content_hash": "34d167c5b26778e02fd4ccd094052a1810a517c9749a434ec84ce079beca6e4d", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "misconception:measurement:precision-is-accuracy", "kind": "misconception", "title": "Precise measurements must be accurate because they agree closely with each other.", "summary": "Agreement among trials measures repeatability. A shared offset can create a tight cluster far from the accepted reference.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#misconception=misconception:measurement:precision-is-accuracy", "content_hash": "34d167c5b26778e02fd4ccd094052a1810a517c9749a434ec84ce079beca6e4d", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:lab", "kind": "content_block", "title": "Repetition changes the estimate of the cluster and its scatter; a constant zero offset shifts every trial and is only identifiable against a reference or independent calibration.", "summary": "Experiment · Hide an offset inside a convincing cluster", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:lab", "content_hash": "e0777ce9c0c88c30a30a33b00a6f6f7bb984a0586b0980148b6632c829dbe269", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:lab-habit", "kind": "content_block", "title": "Laboratory habit", "summary": "Experiment · Hide an offset inside a convincing cluster", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:lab-habit", "content_hash": "fb772e02967aabbe47d7d9a75e5ab8f7665cae1116094186073f1e42836eec5c", "source_ids": [ "source:atlas-method-v2" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:transfer-setup", "kind": "content_block", "title": "block:measurement:transfer-setup", "summary": "Transfer · Design a comparison that can fail honestly", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:transfer-setup", "content_hash": "871be2912e63a25b11afe3c9b455c0d097ef1401a5c39ab8e92245162a817112", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "block:measurement:transfer-check", "kind": "content_block", "title": "block:measurement:transfer-check", "summary": "Transfer · Design a comparison that can fail honestly", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#block=block:measurement:transfer-check", "content_hash": "d4731c3dc702fb9e08d27458fe89ae8028266d8aaa80100093c7b59d03e3275d", "source_ids": [], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:scale:quantity-kind", "kind": "assessment", "title": "Which expressions are quantities with enough information to interpret a measurement? Select every valid expression.", "summary": "Select all expressions that pair a magnitude with a unit.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#assessment=assessment:scale:quantity-kind", "content_hash": "705691f7479eb11ba053f559e3e488c6c6e1c28c4cea56b96710618b11514fe2", "source_ids": [ "source:openstax-prealgebra-measurement" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:scale:model-length", "kind": "assessment", "title": "A 7.5 cm drawing uses a 1 to 40 scale. What real length does it represent in metres?", "summary": "Enter a number and a unit.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#assessment=assessment:scale:model-length", "content_hash": "3a3081b9314cf96d100224a6349bcbdd9be09b4c7252f11357c423ef304668c0", "source_ids": [ "source:openstax-prealgebra-scale" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:scale:unit-order", "kind": "assessment", "title": "Put the conversion steps for 2.4 kilometres to metres in a defensible order.", "summary": "Arrange all steps from the starting quantity to the checked result.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#assessment=assessment:scale:unit-order", "content_hash": "f51f65b7d9ec8d5894854040509991ee472e99c6ef19c988d5dc4a0113f93128", "source_ids": [ "source:openstax-prealgebra-measurement" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:scale:transfer", "kind": "assessment", "title": "On a 1 to 50 blueprint, a doorway is 4.2 cm wide. The safety requirement is at least 2.0 m. What real width does the drawing specify?", "summary": "Enter the real width as a number with a metre unit. The feedback will then ask you to compare it with the requirement.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#assessment=assessment:scale:transfer", "content_hash": "1683af64a07c1b5c04df2a0161022e97737a6418cbb989beeea9dd8a18467900", "source_ids": [ "source:openstax-prealgebra-scale" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:procedures:assignment-trace", "kind": "assessment", "title": "Arrange the reasoning for x = x + 2 when the current x is 5.", "summary": "Put all four operations in execution order.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#assessment=assessment:procedures:assignment-trace", "content_hash": "57e37b69118aca8c0cbfe7fcc897d36c23c23e1db41642de1d76a408683e6271", "source_ids": [ "source:python-reference-simple" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:procedures:loop-invariant", "kind": "assessment", "title": "A loop starts total at 0 and visits [3, 6, 9], adding each item to total. What is total after the second iteration?", "summary": "Enter the integer value. Use the unit “integer”.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#assessment=assessment:procedures:loop-invariant", "content_hash": "a21461b35820fa968891d09bb605494b56391aec005bed6427e3a74d03ea6c01", "source_ids": [ "source:python-tutorial-control" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:procedures:mutation-selection", "kind": "assessment", "title": "Which statements would mutate the existing list bound to items? Select every statement that changes that object's contents.", "summary": "Select all mutating operations.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#assessment=assessment:procedures:mutation-selection", "content_hash": "aac5b96f0fa2b7e1cfddeea9ee10c9dff6b4b8d83d1d37c9a67903e5daae011f", "source_ids": [ "source:python-tutorial-control" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:procedures:transfer-trace", "kind": "assessment", "title": "A function starts converted as an empty list, visits temperatures [0, 10], and appends c times 9 divided by 5 plus 32. Submit the two after-iteration states.", "summary": "For each row, provide c and converted using the exact displayed values.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#assessment=assessment:procedures:transfer-trace", "content_hash": "31f57d1b9c6716fcac4954152dfcc29c90a144c19e756e7870b540d5255fd9d2", "source_ids": [ "source:python-tutorial-control" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:measurement:report", "kind": "assessment", "title": "Five length readings span from 14.2 cm to 14.6 cm. Using half the range as the uncertainty convention, what uncertainty should be reported?", "summary": "Enter the uncertainty magnitude and a centimetre unit.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#assessment=assessment:measurement:report", "content_hash": "e16b17133d25f7ce34566e51a14efae2299bc6e8b94a28efefe88a2fdaf21c34", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:measurement:error-sources", "kind": "assessment", "title": "Which diagnostics can reveal a constant +0.5 cm zero offset? Select every defensible choice.", "summary": "Select methods that compare the instrument or procedure with independent information.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#assessment=assessment:measurement:error-sources", "content_hash": "730000c386010c5b99cd0134d9d19e88aa574f7616f46a55cd7b1356fd41c921", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:measurement:cluster", "kind": "assessment", "title": "A tight cluster of measurements lies far from an accepted reference. Which two-word description fits it?", "summary": "Enter the description using the words precise and inaccurate.", "artifact_ref": "../releases/atlas-0.1-foundations-candidate.json#assessment=assessment:measurement:cluster", "content_hash": "fad7c8c2d4c066ef4833a3a82f83809c985b7b6eb83f0647c1aec55ba2e3055f", "source_ids": [ "source:openstax-physics-uncertainty" ], "review_ids": [], "confidence": null, "temporal_scope": null }, { "id": "assessment:measurement:transfer", "kind": "assessment", "title": "You compare two pendulums whose mean periods differ by 0.03 s, while each repeated result is reported with ±0.05 s uncertainty. Which conclusions are supported? 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