<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-MAT404-875
**Date of Analysis:** 2025-07-10

This report summarizes the findings of a curriculum alignment analysis conducted on the document titled 'MAT404: Probability - Spring 2025', which is a National Standards Document 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 14 to 14.
The curriculum is segmented into 4 distinct learning units. As an example, the unit 'Probability' is projected to require approximately 25 instructional hours. It focuses on core concepts such as algebra, proof. A key objective in this section (Ref: OBJ-01-01) is for students to ' model the concept of algorithm.', which is categorized at the 'unspecified' cognitive level. Supporting resources include a Online Video titled 'Re-engineered full-range software'. 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: Purpose party important likely charge term fact. Home blood authority go himself people beyond. Shoulder would point write property bed both bad.</data>
{
  "analysis_id": "CALIGN-2025-MAT404-875",
  "analysis_date": "2025-07-10",
  "source_document_type": "National Standards Document",
  "source_document_title": "MAT404: Probability - Spring 2025",
  "subject_area": "Mathematics",
  "is_current_version": false,
  "target_audience": {
    "grade_level_min": 14,
    "grade_level_max": 14
  },
  "learning_units": [
    {
      "unit_id": "UNIT-01",
      "unit_title": "Probability",
      "key_concepts": [
        "algebra",
        "proof",
        "geometry",
        "derivative",
        "algorithm"
      ],
      "learning_objectives": [
        {
          "objective_id": "OBJ-01-01",
          "description": "Students will be able to model the concept of algorithm.",
          "keywords": [
            "proof",
            "algebra"
          ],
          "suggested_assessments": [
            "project",
            "essay",
            "multiple_choice_quiz"
          ]
        },
        {
          "objective_id": "OBJ-01-02",
          "description": "Students will be able to model the concept of algorithm.",
          "keywords": [
            "statistics",
            "calculus",
            "geometry"
          ],
          "suggested_assessments": [
            "presentation",
            "project",
            "problem_solving_set"
          ],
          "cognitive_level": "Create"
        },
        {
          "objective_id": "OBJ-01-03",
          "description": "Students will be able to derive the concept of statistics.",
          "keywords": [
            "algorithm",
            "statistics",
            "geometry"
          ],
          "suggested_assessments": [
            "multiple_choice_quiz",
            "lab_report",
            "project"
          ],
          "cognitive_level": "Analyze"
        }
      ],
      "required_materials": [
        {
          "material_type": "Online Video",
          "title": "Re-engineered full-range software",
          "is_publicly_accessible": true
        }
      ],
      "duration_hours": 25
    },
    {
      "unit_id": "UNIT-02",
      "unit_title": "Euclidean Geometry",
      "key_concepts": [
        "derivative",
        "algorithm",
        "calculus",
        "geometry"
      ],
      "learning_objectives": [
        {
          "objective_id": "OBJ-02-01",
          "description": "Students will be able to prove the concept of algebra.",
          "keywords": [
            "algebra",
            "derivative",
            "statistics",
            "proof"
          ],
          "suggested_assessments": [
            "problem_solving_set",
            "lab_report"
          ]
        },
        {
          "objective_id": "OBJ-02-02",
          "description": "Students will be able to model the concept of calculus.",
          "keywords": [
            "algebra",
            "geometry"
          ],
          "suggested_assessments": [
            "presentation",
            "project",
            "problem_solving_set"
          ],
          "cognitive_level": "Understand"
        },
        {
          "objective_id": "OBJ-02-03",
          "description": "Students will be able to prove the concept of algorithm.",
          "keywords": [
            "calculus",
            "derivative",
            "statistics"
          ],
          "suggested_assessments": [
            "essay",
            "presentation"
          ],
          "cognitive_level": "Evaluate"
        },
        {
          "objective_id": "OBJ-02-04",
          "description": "Students will be able to derive the concept of calculus.",
          "keywords": [
            "algorithm",
            "derivative",
            "algebra"
          ],
          "suggested_assessments": [
            "essay"
          ]
        }
      ],
      "required_materials": [
        {
          "material_type": "Online Video",
          "title": "Grass-roots optimizing migration",
          "is_publicly_accessible": true,
          "identifier": "http://www.white.com/",
          "quantity": 1
        },
        {
          "material_type": "Lab Manual",
          "title": "Fundamental modular hardware",
          "is_publicly_accessible": false,
          "identifier": "MAT404-MAT-515"
        },
        {
          "material_type": "Journal Article",
          "title": "Configurable 4thgeneration framework",
          "is_publicly_accessible": true,
          "identifier": "ISBN: 978-5864488977",
          "quantity": 28
        }
      ],
      "duration_hours": 19
    },
    {
      "unit_id": "UNIT-03",
      "unit_title": "Euclidean Geometry",
      "key_concepts": [
        "statistics",
        "derivative",
        "proof"
      ],
      "learning_objectives": [
        {
          "objective_id": "OBJ-03-01",
          "description": "Students will be able to solve the concept of proof.",
          "keywords": [
            "geometry",
            "calculus",
            "algorithm"
          ],
          "suggested_assessments": [
            "problem_solving_set",
            "project"
          ]
        },
        {
          "objective_id": "OBJ-03-02",
          "description": "Students will be able to prove the concept of calculus.",
          "keywords": [
            "algorithm",
            "statistics",
            "derivative",
            "geometry"
          ],
          "suggested_assessments": [
            "multiple_choice_quiz",
            "essay"
          ],
          "cognitive_level": "Apply"
        },
        {
          "objective_id": "OBJ-03-03",
          "description": "Students will be able to derive the concept of proof.",
          "keywords": [
            "algebra",
            "calculus",
            "statistics",
            "geometry"
          ],
          "suggested_assessments": [
            "lab_report",
            "project",
            "essay"
          ],
          "cognitive_level": "Remember"
        }
      ],
      "required_materials": [
        {
          "material_type": "Online Video",
          "title": "Switchable 5thgeneration monitoring",
          "is_publicly_accessible": true
        },
        {
          "material_type": "Online Video",
          "title": "Mandatory systematic info-mediaries",
          "is_publicly_accessible": true,
          "identifier": "https://www.green.com/",
          "quantity": 11
        }
      ]
    },
    {
      "unit_id": "UNIT-04",
      "unit_title": "Probability",
      "key_concepts": [
        "calculus",
        "derivative",
        "proof",
        "statistics"
      ],
      "learning_objectives": [
        {
          "objective_id": "OBJ-04-01",
          "description": "Students will be able to calculate the concept of derivative.",
          "keywords": [
            "derivative",
            "proof",
            "geometry"
          ],
          "suggested_assessments": [
            "project",
            "multiple_choice_quiz"
          ],
          "cognitive_level": "Evaluate"
        },
        {
          "objective_id": "OBJ-04-02",
          "description": "Students will be able to derive the concept of algorithm.",
          "keywords": [
            "derivative",
            "algebra",
            "proof",
            "statistics"
          ],
          "suggested_assessments": [
            "presentation",
            "project",
            "problem_solving_set"
          ],
          "cognitive_level": "Evaluate"
        },
        {
          "objective_id": "OBJ-04-03",
          "description": "Students will be able to derive the concept of algorithm.",
          "keywords": [
            "calculus",
            "derivative"
          ],
          "suggested_assessments": [
            "essay"
          ],
          "cognitive_level": "Evaluate"
        },
        {
          "objective_id": "OBJ-04-04",
          "description": "Students will be able to prove the concept of algebra.",
          "keywords": [
            "algebra",
            "derivative",
            "statistics"
          ],
          "suggested_assessments": [
            "multiple_choice_quiz"
          ]
        }
      ],
      "required_materials": [
        {
          "material_type": "Textbook Chapter",
          "title": "Optimized incremental moratorium",
          "is_publicly_accessible": true,
          "quantity": 24
        },
        {
          "material_type": "Online Video",
          "title": "Cross-platform disintermediate complexity",
          "is_publicly_accessible": false,
          "identifier": "https://www.shelton.com/"
        },
        {
          "material_type": "Software Tool",
          "title": "Sharable well-modulated process improvement",
          "is_publicly_accessible": true,
          "identifier": "MAT404-MAT-803",
          "quantity": 15
        }
      ]
    }
  ],
  "alignment_notes": "Purpose party important likely charge term fact. Home blood authority go himself people beyond. Shoulder would point write property bed both bad."
}