Foundations 11 Curricular Outcomes

Measurement

20-2 M1  Solve problems that involve the application of rates. [CN, PS, R]

20-2 M2  Solve problems that involve scale diagrams, using proportional reasoning. [CN, PS, R, V]

20-2 M3  Demonstrate an understanding of the relationships among scale factors, areas, surface areas and volumes of similar 2-D shapes and 3-D objects. [C, CN, PS, R, V]

Geometry

20-2 G1  Derive proofs that involve the properties of angles and triangles. [CN, R, V]

20-2 G2  Solve problems that involve properties of angles and triangles. [CN, PS, V]

FND11 G3  Solve problems that involve the cosine law and the sine law, including the ambiguous case. [CN, PS, R]

Logical Reasoning

20-2 NL1  Analyze and prove conjectures, using inductive and deductive reasoning, to solve problems. [C, CN, PS, R]

20-2 NL2  Analyze puzzles and games that involve spatial reasoning, using problem-solving strategies. [CN, PS, R, V]

Statistics

20-2 S1  Demonstrate an understanding of normal distribution, including:

  • standard deviation
  • z-scores. [CN, PS, T, V]  [ICT: C6–4.1, C7–4.2]

20-2 S2  Interpret statistical data, using:

  • confidence intervals
  • confidence levels
  • margin of error.  [C, CN, R]  [ICT: C1–4.2, C2–4.2, C7–4.2]

Relations and Functions

FND11 RF1 Model and solve problems that involve systems of linear inequalities in two variables.
[CN, PS, T, V]

20-2 RF1  Demonstrate an understanding of the characteristics of quadratic functions, including:

  • vertex
  • intercepts
  • domain and range
  • axis of symmetry. [CN, PS, T, V]   [ICT: C6–4.1, C6–4.3]

Mathematics Research Project

20-2 MRP  Research and give a presentation on a historical event or an area of interest that involves mathematics. [C, CN, ME, PS, R, T, V]   [ICT: C1–4.2, C1–4.4, C2–4.1, C3–4.1, C3–4.2, C7–4.2, F2–4.7]

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