Our Math Department strives to support all students as they develop the skills that are needed to succeed in high school, the workforce and higher education. Our complex and rapidly changing world requires all students to master higher levels of mathematics skills, including those that allow our students to solve complex problems. The Math curriculum is guided by the Massachusetts Mathematics Curriculum Frameworks. The learning standards within that Framework are the basis of the Grade 10 MCAS, which all students must pass in order to be eligible for graduation. Our goal is to move all students toward proficiency in their math skills. To achieve this, the Math Program is rigorous and includes extra support for students who will need help to reach proficiency in Math. All students in Grades 9 and 10 attend Math class during both the academic and technical shop cycles, providing them with 180 hours of Math instruction each year. Our instructors are committed to using contextual and applied learning strategies as a way of expanding the mathematics skills of our students. Students solve problems related to their technical training, use technology to solve problems and utilize hands on labs to understand and master new concepts and skills. Our efforts to connect this learning to the everyday experiences and career aspirations of our students will enhance sustained learning and problem solving skills which all students need to advance in their education and careers.
Algebra I
Course Level: CP1, CP2
Credits 2
Prerequisites
Pre-Algebra or 8th grade math
Major Topics/Essential Skills or Concepts
Expressions, Equations, and Functions; Solving Linear Equations; Graphing Linear Equations and Functions; Writing Linear Equations; Solving and Graphing Linear Inequalities; Systems of Equations and Inequalities; Exponents and Exponential Functions; Polynomials and Factoring; Quadratic Equations and Functions.
Algebra I Honors
Course Level: Honors
Credits: 2
Prerequisites: Algebra 1 or Pre-Algebra
Major Topics/Essential Skills or Concepts
Expressions, Equations, and Functions; Solving Linear Equations; Graphing Linear Equations and Functions; Writing Linear Equations; Solving and Graphing Linear Inequalities; Systems of Equations and Inequalities; Exponents and Exponential Functions; Polynomials and Factoring; Quadratic Equations and Functions; Data Analysis; Probability
Geometry Honors
Course Level: Honors
Credits: 1
Prerequisites: Algebra I
Major Topics/Essential Skills or Concepts
Discovering Geometry; Reasoning & Proof; Parallel and Perpendicular Lines; Congruent Triangles; Relationships in Triangles; Quadrilaterals; Proportions & Similarity; Right Triangles and Trigonometry; Transformations and Symmetry; Circles; Areas of Polygons and Circles; Surface Area and Volume; Probability and Measurement.
Geometry 10
Course Level: CP1, CP2
Credits: 2
Prerequisites: Algebra I
Major Topics/Essential Skills or Concepts
Discovering Geometry; Reasoning & Proof; Parallel and Perpendicular Lines; Congruent Triangles; Relationships in Triangles; Quadrilaterals; Proportions & Similarity; Right Triangles and Trigonometry; Transformations and Symmetry; Circles; Areas of Polygons and Circles; Surface Area and Volume; Probability and Measurement.
Geometry Honors
Course Level: Honors
Credits: 1 (90 day class)
Prerequisites: Algebra I Honors
Major Topics/Essential Skills or Concepts
Discovering Geometry; Reasoning & Proof; Parallel and Perpendicular Lines; Congruent Triangles; Relationships in Triangles; Quadrilaterals; Proportions & Similarity; Right Triangles and Trigonometry; Transformations and Symmetry; Circles; Areas of Polygons and Circles; Surface Area and Volume; Probability and Measurement.
Algebra II
Course Level: CP1, CP2
Credits: 1
Prerequisites: Geometry
Major Topics/Essential Skills or Concepts
Review of Real Number System; Quadratic Functions and Equations; Polynomials and Polynomial Functions; Radical and Rational Exponents; Exponential and Logarithmic Functions.
Pre-Calculus Honors
Course Level: Honors
Credits: 1
Prerequisites: Geometry Honors & Algebra II Honors
Major Topics/Essential Skills or Concepts
Review of Polynomial, Rational and Exponential Functions; Polynomial Functions & Real Zeros;Rational Functions: Properties & Graphs; Polynomial Inequalities & Composite Functions; One-to-one Inverse & Exponential Functions; Logarithmic Functions; Logarithmic & Exponential Equations, Growth and Decay; Unit Circle; Graphing Trigonometric Function; Verifying Trigonometric Identities; Introduction to Limits;
Advanced Math Problem Solving
Course Level: CP1, CP2
Credits: 1
Prerequisites: Algebra II
Major Topics/Essential Skills or Concepts
Review of Exponential and Logarithmic Functions; Rational Functions; Sequences and Series; Quadratic Relations and Conic Sections; Probability and Statistics; Matrices; Periodic Functions and Trigonometry; Trigonometric Identities and Equations.
Pre-Calculus
Course Level: CP1
Credits: 1
Prerequisites: Geometry & Algebra II
Major Topics/Essential Skills or Concepts
Review of Polynomial, Rational and Exponential Functions; Polynomial Functions & Real Zeros;Rational Functions: Properties & Graphs; Polynomial Inequalities & Composite Functions; One-to-one Inverse & Exponential Functions; Logarithmic Functions; Logarithmic & Exponential Equations, Growth and Decay; Unit Circle; Graphing Trigonometric Function; Verifying Trigonometric Identities; Introduction to Limits;
Calculus
Course Level: Honors
Credits: 1
Prerequisites: Pre-Calculus Honors
Major Topics/Essential Skills or Concepts
Limits & Continuity; Differentiation techniques; Product Rule; Quotient Rule; Chain Rule; Implicit differentiation; Related Rates; Extrema; Concavity; Optimization;