Demonstrate understanding of the mathematics involved in an historical event or an area of interest. ([C, CN, ME, PS, R, T, V])

Demonstrate understanding of inductive and deductive reasoning including:

• analyzing conjectures
• analyzing spatial puzzles and games
• providing conjectures
• solving problems.

([C, CN,PS, R, V])

Expand and demonstrate understanding of proportional reasoning related to:

• rates
• scale diagrams
• scale factor
• area
• surface area
• volume.

([C, CN, PS, R, V])

Demonstrate understanding of properties of angles and triangles including:

• deriving proofs based on theorems and postulates about congruent triangles
• solving problems.

([CN, PS, R, V])

Demonstrate understanding of the cosine law and sine law (including the ambiguous case). ([CN, PS, R])

Demonstrate an understanding of normal distribution, including standard deviation and z-scores. ([CN, PS, T, V])

Demonstrate understanding of the interpretation of statistical data, including:

• confidence intervals
• confidence levels
• margin of error.

([C, CN, R])

Demonstrate understanding of systems of linear inequalities in two variables. ([CN, PS, T, V])

Demonstrate an understanding of the characteristics of quadratic functions of the form $y = a(x - p)^2 + q$ , including:

• vertex
• intercepts
• domain and range
• axis of symmetry.

([CN, PS, T, V])