{"schema_version":"task-form-representation.payload.v1","representation":{"schema_version":"task-form-representation.v2","task_form_ref":"task-form.prealgebra.compact-equation-blank-entry.v1","public_slug":"compact-equation-blank-entry","owning_skill_refs":["oa.equations.unknown-add-sub","prealg.variable-as-unknown"],"primary_family_ref":"module-family.prealg.equations-expressions-inequalities.v1","pattern_cluster_ref":"pattern-cluster.prealg.equations-expressions-digit-constraints.v1","task_pattern_ref":"task-pattern.prealgebra.compact-equation-blank-entry.v1","public_title":"Compact equation blank entry","teacher_summary":"Compact equation blank entry asks the player to enter one integer in the sole already-active blank so the compact equation is true.","teacher_purpose_md":"Enter one integer in the sole already-active blank so the compact equation is true.","player_action_public":"Enter one integer in the sole already-active blank so the compact equation is true.","answer_affordance_public":"Complete the compact equation blank entry action.","visual_primitive_public_refs":["compact_equation","inline_active_blank","exact_integer_entry","fixed_addend_roles","same_row_substitution_proof"],"player_surface_preview":{"availability":"not_available","preview_asset_refs":[],"absence_md":""},"public_example_refs":[],"non_example_refs":[],"common_mistake_tags":[],"hint_reveal_public":["Hints should point attention to the visible structure before giving away the solution.","Reveals should show the answer path separately from independent evidence."],"public_evidence_signals":[{"id":"check_only","public_label":"Check only","teacher_note_md":"This observation can check the session without changing the next route by itself."}],"route_variants":[{"id":"support_repair","public_label":"Support","teacher_note_md":"Use a more guided version when recent work shows confusion or heavy help use."},{"id":"core","public_label":"Core","teacher_note_md":"Use the normal version after steady fresh solves."},{"id":"stretch_transfer","public_label":"Transfer","teacher_note_md":"Change representation or context after independent evidence stays strong."}],"presentation_profiles":[{"id":"presentation_compact","public_label":"Compact","teacher_note_md":"Use concrete objects, short prompts, and more visible support."},{"id":"presentation_standard","public_label":"Standard","teacher_note_md":"Use the same idea with more independent reading and representation."},{"id":"presentation_extended","public_label":"Extended","teacher_note_md":"Allow denser explanation, proof, and transfer when evidence supports it."}],"practice_focus_compatibility":[{"id":"practice-focus.balanced.v1","public_label":"Balanced growth","teacher_note_md":"No extra practice insert unless evidence schedules it."}],"challenge_enrichment_public":[],"story_fit_public":["episodes where symbols, unknowns, operators, or inequalities determine an exact algebraic state","Story object role: unknown slot.","Story object role: operator token.","Story object role: digit token.","Story object role: equation balance.","Story object role: expression field."],"retrieval":{"aliases":["Compact equation blank entry","task-form.prealgebra.compact-equation-blank-entry.v1","exact_integer_numeric_entry","compact_equation","inline_active_blank","exact_integer_entry","fixed_addend_roles","same_row_substitution_proof"],"teacher_questions":["What does Compact equation blank entry mean?","How does Compact equation blank entry adapt?","Can I see an example of Compact equation blank entry?"],"keywords":["compact equation blank entry","exact_integer_numeric_entry","oa.equations.unknown-add-sub","prealg.variable-as-unknown"],"short_answer_public":"Compact equation blank entry asks the player to enter one integer in the sole already-active blank so the compact equation is true.","canonical_links":[{"label":"Compact equation blank entry","url":"#taskform-compact-equation-blank-entry"}],"safe_to_quote_snippets":["Compact equation blank entry asks the player to enter one integer in the sole already-active blank so the compact equation is true."],"example_refs":[]}},"canonical_target":{"href":"/math/skills/oa/equations-unknown-add-sub#taskform-compact-equation-blank-entry","skill":{"schema_version":"teacher-skill-representation.v2","skill_ref":"oa.equations.unknown-add-sub","domain_slug":"oa","skill_slug":"equations-unknown-add-sub","canonical_url":"/math/skills/oa/equations-unknown-add-sub","public_title":"Equations Unknown Add Sub","family_ref":"module-family.prealg.equations-expressions-inequalities.v1","family_name":"Equations, Variables, Expressions, and Inequalities","pattern_cluster_refs":["pattern-cluster.prealg.equations-expressions-digit-constraints.v1"],"task_pattern_refs":["task-pattern.prealgebra.compact-equation-blank-entry.v1"],"task_form_refs":["task-form.prealgebra.compact-equation-blank-entry.v1"],"teacher_summary":"Equations Unknown Add Sub builds equations, variables, expressions, and inequalities through visual tasks, examples, and next-step routes.","teacher_explanation_md":"Equations Unknown Add Sub practice with teacher guidance, common slips, and next-step routes.","player_surface_summary_md":"This skill appears in Compact equation blank entry.","common_mistake_tags":["Equals means do next.","Unknown position confusion.","Inverse operation mismatch.","Subtraction noncommutative slip."],"hint_reveal_summary_md":"Hints keep attention on the visible structure; reveals show the path without counting as independent evidence.","adaptation_summary_md":"Fresh independent work can move toward Core, Transfer, or Challenge routes; help use or confusion keeps support visible.","route_variant_refs":["support_repair","core","stretch_transfer"],"presentation_profile_refs":["presentation_compact","presentation_standard","presentation_extended"],"practice_focus_refs":["practice-focus.balanced.v1"],"standards_refs":[],"school_program_refs":[],"challenge_refs":[],"story_fit_tags":["episodes where symbols, unknowns, operators, or inequalities determine an exact algebraic state"],"prerequisite_skill_refs":[],"next_skill_refs":["oa.equations.unknown-mult-div","oa.operations.properties.apply","oa.order-of-operations.parentheses"],"next_family_refs":["module-family.count.quantity-comparison-order.v1","module-family.pattern.functions-generalization.v1","module-family.logic.constraint-deduction-combinatorics.v1"],"public_example_refs":[],"retrieval":{"aliases":["Equations Unknown Add Sub","oa.equations.unknown-add-sub","Equations, Variables, Expressions, and Inequalities","Compact equation blank entry"],"teacher_questions":["What does Equations Unknown Add Sub mean?","How does Equations Unknown Add Sub adapt?","Can I see an example of Equations Unknown Add Sub?"],"keywords":["equations unknown add sub","oa","equations-unknown-add-sub","equations, variables, expressions, and inequalities","task-form.prealgebra.compact-equation-blank-entry.v1"],"short_answer_public":"Equations Unknown Add Sub builds equations, variables, expressions, and inequalities through visual tasks, examples, and next-step routes.","canonical_links":[{"label":"Equations Unknown Add Sub","url":"/math/skills/oa/equations-unknown-add-sub"}],"safe_to_quote_snippets":["Equations Unknown Add Sub builds equations, variables, expressions, and inequalities through visual tasks, examples, and next-step routes."],"example_refs":[]}}},"examples":[],"preview_artifacts":[]}