Full unit practice requiring complete reasoning and representation checks.
Directions: Show exact work before decimals, label domains or intervals, and explain calculator use.
1. {'id': 'u11-l01', 'number': 1, 'title': 'Matrices, Dimensions & Operations', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
State the dimensions of [[1,2,3],[4,5,6]].
2. {'id': 'u11-l01', 'number': 1, 'title': 'Matrices, Dimensions & Operations', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
Add [[1,2],[3,4]] and [[5,6],[7,8]].
3. {'id': 'u11-l01', 'number': 1, 'title': 'Matrices, Dimensions & Operations', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
Can a 2×3 matrix multiply a 2×2 matrix on the right?
4. {'id': 'u11-l01', 'number': 1, 'title': 'Matrices, Dimensions & Operations', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
Compute [[1,0],[0,−1]]⟨3,4⟩.
5. {'id': 'u11-l01', 'number': 1, 'title': 'Matrices, Dimensions & Operations', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
What matrix represents a 90° counterclockwise rotation?
6. {'id': 'u11-l01', 'number': 1, 'title': 'Matrices, Dimensions & Operations', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
Why does order matter in matrix transformations?
7. {'id': 'u11-l02', 'number': 2, 'title': 'Matrix Transformations and Composition', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
State the dimensions of [[1,2,3],[4,5,6]].
8. {'id': 'u11-l02', 'number': 2, 'title': 'Matrix Transformations and Composition', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
Add [[1,2],[3,4]] and [[5,6],[7,8]].
9. {'id': 'u11-l02', 'number': 2, 'title': 'Matrix Transformations and Composition', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
Can a 2×3 matrix multiply a 2×2 matrix on the right?
10. {'id': 'u11-l02', 'number': 2, 'title': 'Matrix Transformations and Composition', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
Compute [[1,0],[0,−1]]⟨3,4⟩.
11. {'id': 'u11-l02', 'number': 2, 'title': 'Matrix Transformations and Composition', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
What matrix represents a 90° counterclockwise rotation?
12. {'id': 'u11-l02', 'number': 2, 'title': 'Matrix Transformations and Composition', 'family': 'matrices', 'week': 31, 'unit': 11, 'unit_title': 'Matrices, Systems & Conic Sections', 'essential': 'How do matrices, systems, and conic forms organize transformations, intersections, and geometric models?', 'project': 'Conic-and-Matrix Design System'}
Why does order matter in matrix transformations?