<format type="json">{analysis_id: string, analysis_date: date, source_document_type: string, source_document_title: string, subject_area: string, is_current_version: boolean, target_audience: {grade_level_min: number, grade_level_max: number optional, educational_setting: string optional}, learning_units: list[{unit_id: string, unit_title: string, duration_hours: number optional, key_concepts: list[string], learning_objectives: list[{objective_id: string, description: string, cognitive_level: string optional, keywords: list[string], suggested_assessments: list[string]}], required_materials: list[{material_type: string, title: string, identifier: string optional, quantity: number optional, is_publicly_accessible: boolean}]}], cross_curricular_links: list[{linked_subject: string, linked_topic: string, relevance_notes: string optional}] optional, alignment_notes: string optional, detected_gaps: list[{gap_description: string, gap_category: string, affected_objectives_ids: list[string], suggested_intervention: string optional}] optional}</format> <data>**CONFIDENTIAL CURRICULUM ANALYSIS MEMORANDUM**

**Reference ID:** CALIGN-2025-MAT486-638
**Date of Analysis:** 2025-04-23

This report summarizes the findings of a curriculum alignment analysis conducted on the document titled 'MAT486: Probability - Fall 2025', which is a Textbook Content Overview for Mathematics. It is important to note that this review pertains to a prior version of the curriculum, not the one currently in effect. The intended audience is within the specified educational context, spanning from grade level 15 to 15.
The curriculum is segmented into 3 distinct learning units. As an example, the unit 'Probability' is projected to require approximately 18 instructional hours. It focuses on core concepts such as calculus, geometry. A key objective in this section (Ref: OBJ-01-01) is for students to ' graph the concept of proof.', which is categorized at the 'Understand' cognitive level. Supporting resources include a Online Video titled 'Inverse maximized product'. Its public accessibility is noted as True. Our intern, who helped compile the materials list, mentioned having trouble locating a physical copy for review.

**General Alignment Commentary:**
The overall assessment from the review committee is as follows: Air where agree build draw radio. Democratic majority represent hotel environment important national.

**Identified Deficiencies:**
A primary concern raised during the analysis was a gap related to 'outdated_material': Insufficient focus on geometry application. This particularly impacts objectives like OBJ-02-03, OBJ-02-02, OBJ-03-02. </data>
{
  "analysis_id": "CALIGN-2025-MAT486-638",
  "analysis_date": "2025-04-23",
  "source_document_type": "Textbook Content Overview",
  "source_document_title": "MAT486: Probability - Fall 2025",
  "subject_area": "Mathematics",
  "is_current_version": false,
  "target_audience": {
    "grade_level_min": 15,
    "grade_level_max": 15
  },
  "learning_units": [
    {
      "unit_id": "UNIT-01",
      "unit_title": "Probability",
      "key_concepts": [
        "calculus",
        "geometry",
        "statistics",
        "algorithm"
      ],
      "learning_objectives": [
        {
          "objective_id": "OBJ-01-01",
          "description": "Students will be able to graph the concept of proof.",
          "keywords": [
            "algebra",
            "proof",
            "statistics",
            "geometry"
          ],
          "suggested_assessments": [
            "problem_solving_set"
          ],
          "cognitive_level": "Understand"
        },
        {
          "objective_id": "OBJ-01-02",
          "description": "Students will be able to graph the concept of derivative.",
          "keywords": [
            "algebra",
            "derivative"
          ],
          "suggested_assessments": [
            "project"
          ],
          "cognitive_level": "Create"
        }
      ],
      "required_materials": [
        {
          "material_type": "Online Video",
          "title": "Inverse maximized product",
          "is_publicly_accessible": true,
          "identifier": "https://www.garcia.com/",
          "quantity": 2
        }
      ],
      "duration_hours": 18
    },
    {
      "unit_id": "UNIT-02",
      "unit_title": "Probability",
      "key_concepts": [
        "algorithm",
        "statistics",
        "derivative",
        "algebra",
        "calculus"
      ],
      "learning_objectives": [
        {
          "objective_id": "OBJ-02-01",
          "description": "Students will be able to calculate the concept of statistics.",
          "keywords": [
            "algebra",
            "geometry",
            "calculus",
            "algorithm"
          ],
          "suggested_assessments": [
            "problem_solving_set",
            "multiple_choice_quiz",
            "lab_report"
          ],
          "cognitive_level": "Evaluate"
        },
        {
          "objective_id": "OBJ-02-02",
          "description": "Students will be able to prove the concept of derivative.",
          "keywords": [
            "geometry",
            "calculus",
            "algebra"
          ],
          "suggested_assessments": [
            "project",
            "presentation",
            "essay"
          ],
          "cognitive_level": "Analyze"
        },
        {
          "objective_id": "OBJ-02-03",
          "description": "Students will be able to prove the concept of calculus.",
          "keywords": [
            "derivative",
            "calculus",
            "algebra",
            "proof"
          ],
          "suggested_assessments": [
            "project"
          ]
        },
        {
          "objective_id": "OBJ-02-04",
          "description": "Students will be able to calculate the concept of geometry.",
          "keywords": [
            "statistics",
            "geometry"
          ],
          "suggested_assessments": [
            "essay"
          ],
          "cognitive_level": "Evaluate"
        }
      ],
      "required_materials": [
        {
          "material_type": "Journal Article",
          "title": "Optimized systemic workforce",
          "is_publicly_accessible": false,
          "identifier": "ISBN: 978-7366097158"
        }
      ],
      "duration_hours": 19
    },
    {
      "unit_id": "UNIT-03",
      "unit_title": "Probability",
      "key_concepts": [
        "algebra",
        "derivative",
        "calculus"
      ],
      "learning_objectives": [
        {
          "objective_id": "OBJ-03-01",
          "description": "Students will be able to solve the concept of algorithm.",
          "keywords": [
            "algebra",
            "calculus",
            "proof",
            "geometry"
          ],
          "suggested_assessments": [
            "presentation"
          ]
        },
        {
          "objective_id": "OBJ-03-02",
          "description": "Students will be able to derive the concept of statistics.",
          "keywords": [
            "proof",
            "geometry",
            "algebra",
            "statistics"
          ],
          "suggested_assessments": [
            "problem_solving_set",
            "essay",
            "lab_report"
          ],
          "cognitive_level": "Evaluate"
        },
        {
          "objective_id": "OBJ-03-03",
          "description": "Students will be able to prove the concept of calculus.",
          "keywords": [
            "proof",
            "geometry",
            "derivative",
            "calculus"
          ],
          "suggested_assessments": [
            "problem_solving_set",
            "multiple_choice_quiz"
          ],
          "cognitive_level": "Remember"
        },
        {
          "objective_id": "OBJ-03-04",
          "description": "Students will be able to prove the concept of proof.",
          "keywords": [
            "derivative",
            "statistics",
            "algebra"
          ],
          "suggested_assessments": [
            "project",
            "presentation"
          ],
          "cognitive_level": "Create"
        }
      ],
      "required_materials": [
        {
          "material_type": "Online Video",
          "title": "Re-contextualized zero administration attitude",
          "is_publicly_accessible": false,
          "quantity": 20
        },
        {
          "material_type": "Journal Article",
          "title": "Customer-focused high-level system engine",
          "is_publicly_accessible": true,
          "identifier": "ISBN: 978-5081594397"
        },
        {
          "material_type": "Software Tool",
          "title": "Open-source bandwidth-monitored encoding",
          "is_publicly_accessible": true,
          "identifier": "MAT486-MAT-969",
          "quantity": 26
        }
      ],
      "duration_hours": 19
    }
  ],
  "alignment_notes": "Air where agree build draw radio. Democratic majority represent hotel environment important national.",
  "detected_gaps": [
    {
      "gap_description": "Insufficient focus on geometry application.",
      "gap_category": "outdated_material",
      "affected_objectives_ids": [
        "OBJ-02-03",
        "OBJ-02-02",
        "OBJ-03-02"
      ]
    }
  ]
}