Applied Mathematics, Grade 11 (30S)
Manitoba · Grade 11 · Mathematics — the complete curriculum-aligned outline, taught skill by skill by MapleMind's AI tutor.
Unit 1: Measurement
Rates, scale diagrams, and the relationships among scale factors, areas, surface areas, and volumes of similar shapes and objects.
- Applying rates
- Scale diagrams
- Scale factor and similar shapes
- Scale factor, surface area, and volume
Unit 2: Geometry
Proving and applying angle and triangle properties, and solving problems with the sine and cosine laws.
- Proving angle and triangle properties
- Solving angle and triangle problems
- The sine and cosine laws
- The ambiguous case
Unit 3: Logical Reasoning
Proving conjectures with inductive and deductive reasoning, and analyzing puzzles and games.
- Conjectures and proof
- Analyzing puzzles and games
Unit 4: Statistics
Normal distribution with standard deviation and z-scores, and interpreting data with confidence intervals and margin of error.
- Standard deviation and the normal curve
- Z-scores
- Confidence intervals and margin of error
Unit 5: Relations and Functions
Systems of linear inequalities and linear programming, and quadratic functions as models of data.
- Systems of linear inequalities and linear programming
- Vertex and intercepts of a quadratic model
- Domain, range, and symmetry of a quadratic model
Unit 6: Mathematics Research Project
A staged research project and presentation on a historical event or an area of interest that involves mathematics.
- Designing the research inquiry
- Researching and analyzing the data
- Presenting the research project
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