Mathematics Department Courses - Level 3

  • M3 ALGEBRA I

    Grade: 9

    Duration: 2 Semesters

    Prerequisite: Prealgebra and teacher recommendation

    Credit: 0.5 per semester

    The pacing in this course is faster than that of Algebra I M2, and problems are more challenging and more abstract. As a result, a few more topics will be covered and some will be covered in more depth than in M2.  Units of study include: solving equations and inequalities in one variable, writing and graphing linear equations, functions and sequences, systems of equations and inequalities, exponents and exponential functions, polynomials, radicals and quadratic equations, and descriptive statistics.

    Text: Algebra 1, Larson,

     

    M3 GEOMETRY

    Grade: 9 - 10

    Duration: 2 Semesters

    Prerequisite: Algebra l and teacher recommendation

    Credit: 0.5 per semester

    Pacing in this course is faster than that of Geometry M2, and problems are more challenging and more abstract. As a result, more topics will be covered in M3 than in M2, and some topics will be explored in greater depth than in M2.This is a rigorous course in which students will study methods of reasoning and deductive proof, as well as basic axioms and theorems of Euclidean geometry. Students will reinforce algebra skills through geometric problem-solving, and they will investigate properties of plane figures using computer software and other geometric tools.

    Text: Geometry, Larson

     

    M3 ALGEBRA II

    Grade: 9 - 11

    Duration: 2 Semesters

    Prerequisite: Algebra I, Geometry and teacher recommendation

    Credit: 0.5 per semester

    Pacing in this course is faster than that of Algebra II M2, and problems are more challenging and more abstract. As a result, a few more topics will be covered in M3 than in M2, and some topics will be explored in greater depth than in M2.  Units of study include: functions and inverses, quadratic functions, polynomial functions, radical functions, trigonometric functions, exponential and logarithmic functions, inferential statistics, sequences and series, rational functions, and probability and combinatorics.

    Text: Algebra 2, Bellman

     

    M3 PRECALCULUS

    Grade: 10 - 12

    Duration: 2 Semesters

    Prerequisite: Algebra II and teacher recommendation

    Credit: 0.5 per semester

    This course develops the concepts of trigonometry and analytic geometry. Students will study functions and transformations, circular and periodic functions, the laws of sine and cosine, polynomial and rational functions, exponential and logarithmic functions, vectors in two and three dimensions, conic sections, curve sketching, sequence and series, matrices and determinants, parametric equations, polar coordinates, and an introduction to limits. A student successfully completing this course may be recommended for Introduction to Calculus, UConn ECE Calculus I, AP Calculus AB and/or Statistics.

    Text: Precalculus, Larson

     

    M3 STATISTICS

    Grade: 11 - 12

    Duration: 2 Semesters

    Prerequisite: Algebra 2 and teacher recommendation

    Credit: 0.5 per semester

    Students will study elementary probability theory, random variables, sampling distributions, the normal curve, central limit theorem, hypothesis testing, correlation, regression, model building, and statistical programming. 

    With teacher recommendation, students may take this course concurrently with Precalculus, Introduction to Calculus, or AP/ECE Calculus.

    Text: Elementary Statistics, Bluman

     

    M3 CALCULUS

    Grade: 11 - 12

    Duration: 2 Semesters

    Prerequisite: Precalculus and teacher recommendation

    Credit: 0.5 per semester

    This is a full-year course for students who have completed Precalculus and plan to move on to calculus in college. The course integrates a review and extension the study of functions in preparation for Calculus with a study of the essential principles of differential calculus. Units of study include: limits, continuity, trigonometry, polar and parametric representations, derivatives, inverses, applications of derivatives, and an introduction to integrals.

    The goals of the course are deep understanding and retention of skills and concepts, not mere exposure.  This course should be followed by college-level calculus or AP Calculus.

    Text: Calculus: Graphical, Numerical, Algebraic, Finney.