Grades 9-12: Numbers and Quantity Algebra Functions Geometry Statistics and Probability 2. Additional Topics Linear Algebra and Abstract Algebra Spherical Geometry and 3-Dimensional Analytic Geometry Calculus including Series, Multi-Variable Calculus and introductory topics of Differential equations Discrete Mathematics, including combinatorics, set theory, recursion, and graph theory Applications of mathematics and analytical modeling Statistical Methods including experimental design, hypothesis testing, and confidence intervals 4. The following topics shall be included in an approved program but will not be addressed on a written test of subject matter knowledge: The grades 5-7 math domains and associated vocabulary and how they relate and/or connect to grade 8-12 mathematics. Knowledge of the significant theories, practices, and programs for adolescent development in mathematics. Knowledge of cognitive and social emotional development, and their relationship to academic development in mathematics. Knowledge of how to identify, administer, interpret, and act upon appropriate informal, standardized, and norm-referenced math assessments for determining student strengths, weaknesses (including possible delays and disabilities), and growth; knowledge of data to inform instruction and grouping for intervention. Knowledge of literacy strategies for instruction and assessment in the math content area, including reading, writing, and communicating. (c) The topics set forth in 603 CMR 7.06 (17) (b) and the following topics will be addressed on a subject matter knowledge test for the 8-12 level: Abstract algebra. Number theory. Calculus through differential equations. Probability and statistics. Non-Euclidean and transformational geometries. Applied mathematics or mathematics modeling.
Grades 9-12: Numbers and Quantity Algebra Functions Geometry Statistics and Probability 2. Additional Topics Linear Algebra and Abstract Algebra Spherical Geometry and 3-Dimensional Analytic Geometry Calculus including Series, Multi-Variable Calculus and introductory topics of Differential equations Discrete Mathematics, including combinatorics, set theory, recursion, and graph theory Applications of mathematics and analytical modeling Statistical Methods including experimental design, hypothesis testing, and confidence intervals 4. The following topics shall be included in an approved program but will not be addressed on a written test of subject matter knowledge: The grades 5-7 math domains and associated vocabulary and how they relate and/or connect to grade 8-12 mathematics. Knowledge of the significant theories, practices, and programs for adolescent development in mathematics. Knowledge of cognitive and social emotional development, and their relationship to academic development in mathematics. Knowledge of how to identify, administer, interpret, and act upon appropriate informal, standardized, and norm-referenced math assessments for determining student strengths, weaknesses (including possible delays and disabilities), and growth; knowledge of data to inform instruction and grouping for intervention. Knowledge of literacy strategies for instruction and assessment in the math content area, including reading, writing, and communicating. (c) The topics set forth in 603 CMR 7.06 (17) (b) and the following topics will be addressed on a subject matter knowledge test for the 8-12 level: Abstract algebra. Number theory. Calculus through differential equations. Probability and statistics. Non-Euclidean and transformational geometries. Applied mathematics or mathematics modeling.