# Mathematics

Mathematics

Four credits of mathematics are required of all students to fulfill graduation requirements. Many colleges require completion of Trigonometry. In these courses, students develop skills in problem solving and critical thinking. Placement within mathematics courses are made by teacher recommendation. When considering recommendations, “successful completion” of a course would typically be indicated by a grade of “C” or better. Students are encouraged to purchase their own calculators.

The following flow chart illustrates the typical progressions in mathematics. Freshman will begin in one of the courses with a star. Placement recommendations are considered each year.

**Foundations Supported*>Found. II Supported**

**Foundations Supported*>Essentials of Alg./Geo Std. B**

**Essentials of Alg./Geo Std. B*>Algebra I FY Std. B>Geometry Std. B**

**Essentials of Alg./Geo Std. B*>Algebra I FY Std. B>Geometry Std. >Algebra II Std.**>Pract. Trig OR Quantitative Reasoning**

**Algebra I - Full Year*>Geometry Std. >Algebra II Std**.>Pract. Trig. OR Quantitative Reasoning**

**Algebra I - Fully Year*>Geometry A>Algebra II A**>Algebra III w/Trig A>Pre-Calculus A>Calculus A**

**Algebra I A*>Geometry A>Algebra II A**>Algebra III w/Trig. A>Pre-Calculus A>Calculus A**

**Geometry A*>Algebra II A**>Algebra III w/Trig. A>Pre-Calculus A>Calculus A**

**Geometry Honors*>Algebra II Honors**>Algebra III w/Trig. H.>Pre-Calculus Honors>AP Calculus**

**Probability and Statistics may be taken any time after completion of Algebra II.

** AP Statistics may be taken any time after completion of Algebra II (with grade of B or better)

Foundations of Math I (Supt) |
0311 |

1 Credit |
Grade 9 |

In this course, students increase their basic math skills by reviewing key competencies such as performing basic operations with whole numbers, decimals, and fractions as well as using ratios, proportions, and percents. Students practice these skills using worksheets, computers, and group work. They are assessed using class work, homework, quizzes, masteries and projects. Students take this course if they need extra preparation before Algebra.

**Expectation:**Social Expectations**Prerequisite:**Teacher recommendation only
Foundations of Math II (Supt) |
0313 |

1 Credit |
Grade 10 |

In this course, students continue to improve their basic math skills. They also continue mastering competencies such as estimating, finding measurements and area, understanding the basic concepts of probability and statistics, and basic algebra topics. Students practice these skills using worksheets, computers, and group work. They are assessed using class work, homework, quizzes, masteries and projects. Students take this course only if, after passing Foundations I, they still need extra preparation before Algebra.

**Expectation:**Social Expectations

**Prerequisite:**Completion of Foundations I and Teacher recommendation only
Essentials of Algebra & Geometry (Std. B) |
0320 |

1 Credit |
Grades: 9-12 |

In this course, students strengthen their skills required for success in Algebra I as well as begin to study key Algebra I competencies. Students will also learn basic competencies of Geometry. These competencies include performing operations on rational numbers, solving linear equations, applying basic geometric vocabulary, finding perimeter and area of two-dimensional figures, and solving problems using the Pythagorean Theorem. Students practice these skills using worksheets, activities, and group work. They are assessed using class work, homework, quizzes, masteries and projects.

**Expectation:**Quality Producer**Prerequisite:**Completion of Foundations I and Teacher recommendation only
Algebra I - Full Year Std. NH Scholars eligible; Std. B |
03260330 |

2 Credits |
Grades: 9-12 |

In this year long course, students learn the same competencies found in the semester Algebra I curriculum as well as key Introduction to Algebra competencies. These competencies include performing order of operations on rational numbers; solving linear and absolute value equations, inequalities, and word problems; writing and graphing linear equations; solving systems of equations; and evaluating functions. Students practice these skills using worksheets, group work, hands-on activities, and experimental labs. Students are assessed using class assignments, quizzes, weekly masteries, and projects.

**Expectation:**Quality Producer

**Prerequisite:**Completion of the 8th grade Intro to Algebra course or the High School Essentials course and Teacher recommendation onlyAlgebra I (Std. A) |
0328 |

1 Credit |
Grades: 9-12 |

In this course, students learn all of the competencies in a traditional Algebra I curriculum. These competencies include solving linear and absolute value equations, inequalities and word problems; writing and graphing linear equations; solving systems of equations; and evaluating functions. Students practice these skills using worksheets, group work, hands-on activities, and experimental labs. Students are assessed using assignments, quizzes, masteries, and projects.

**Expectation:**Quality Producer.**Prerequisite:**Completion of 8th grade Intro to Algebra with a B or better or Teacher Recommendation
Geometry Std. A ; Honors (Honors & A-level NH Scholars eligible); Std.; Std. B |
0334033503330322 |

1 Credit |
Grades: 9-12 |

In this course, students study geometric competencies such as exploring angle relationships both on parallel lines and in triangles; applying the distance, midpoint, and slope formulas; using the properties of triangles; and using the facts of similar figures to solve other problems. Students practice these skills using worksheets, investigations, and group work. They are assessed using class work, homework, quizzes, masteries and projects. This course is offered at four different levels in order to facilitate differentiated instruction. Honors level students should be accomplished or exemplary complex thinkers.

**Expectation:**Self-Directed Learner**Prerequisite:**Successful completion of Algebra 1
Algebra II Std. A ; Honors (A and Honors NH Scholar eligible);Std. |
034403450338 |

1 Credit |
Grades: 10-12 |

in this course, students master competencies including simplifying and evaluating advanced algebraic expressions; performing operations with complex numbers and polynomials; solving quadratic equations, and graphing quadratic functions. Students practice these skills using worksheets, investigations, and group work. Students are assessed using class work, homework, quizzes, masteries and projects. This course is offered at three different levels in order to facilitate differentiated instruction. Honors level students should be accomplished or exemplary complex thinkers.

Practical Trigonometry (Std.) |
0366 |

1 Credit |
Grades: 11-12 |

In this course, students study the practical side of trigonometry and review important algebraic concepts. The competencies for this course include solving triangles using trigonometric laws, graphing basic trigonometric functions, operations with polynomials and rational expressions, and graphing polynomial and rational functions. Students practice these skills using hands-on activities, worksheets and group work. They are assessed using class work, homework, quizzes, masteries and projects.

**Expectation:**Complex Thinker**Prerequisite:**Successful completion of Alg. II
Algebra III with Trigonometry Std. A ; Honors |
03650364 |

1 Credit |
Grades: 10-12 |

In this course students explore trigonometric and algebraic competencies including: applying the laws of triangles to real world problems, graphing trigonometric function including polynomials and rationales. Students practice these skills using labs, hands-on activities, worksheets, and group work. They are assessed using class work, homework, quizzes, masteries and projects. This course is also offered at the Honors level for the student with the ability and interest to pursue a faster paced and more in-depth course of study.

**Expectation:**Complex Thinker**Prerequisite:**Successful completion of Algebra II and Geometry.
Quantitative Reasoning (Std.) |
0382 |

1 Credit |
Grade 12 |

This course is designed to expose students to a wide range of general mathematics. Problem solving and critical thinking skills, along with the use of technology, will be emphasized and reinforced throughout the course as students become actively involved in solving applied problems. Topics include: Number Theory and Systems, Functions and Modeling, Finance, Geometry and Measurement, Probability and Statistics and selected topics. Students enrolled in the course are also eligible to apply for Running Start College Credit, which is a dual high school and four college credits available through Nashua Community College.

**Expectation:**Self-Directed Learner**Prerequisite:**Completion of Algebra II**College Credits:**3 Running Start College Credits are available through Nashua Community College.
Precalculus Std. A; Honors |
03740369 |

1 Credit |
Grades: 11-12 |

In this course, students explore a broad range of mathematical topics that expand upon competencies mastered in Algebra II and Trigonometry. Competencies include graphing conic sections, comparing and contrasting types of functions, solving logarithmic and exponential equations, finding the general term of a sequence, finding the sum of a series, and calculating limits of a function. Students are assessed using class work, homework, quizzes, masteries and projects. This course is also offered at the Honors level for the student with the ability and interest to purse a faster paced and more in-depth course of study.

**Expectation:**Complex Thinker**Prerequisite:**Successful completion of Algebra II and TrigonometryCalculus (Std. A) |
0372 |

1 Credit |
Grade 12 |

In this course, students prepare for the first semester of college calculus. Student focus on competencies that include graphing functions both with and without a graphing calculator, reviewing trigonometric functions, evaluating limits, finding derivatives and integrals of transcendental functions, and exploring basic applications. Students practice these skills using graphing calculators, investigations, worksheets, and group work. They are assessed using class work, homework, quizzes, masteries and projects.

**Expectation:**Self-Directed Learner**Prerequisite:**Successful completion of Pre-calculus or teacher recommendation
Probability & Statistics (Std. A) |
0375 |

1 Credit |
Grades: 11-12 |

In this course, students learn how to organize, display and analyze data using a variety of statistical techniques and various probability events. The statistical competencies include descriptive statistics, including frequency distributions, standard deviation, and random sampling. The probability competencies include basic probability and binomial distributions. Students are assessed using class work, homework, quizzes, masteries and projects.

**Expectation:**Complex Thinker

**Prerequisite:**Successful completion of Algebra II
AP Calculus [AB] (Honors/AP)* |
0370 |

1 1/2 Credits |
Grade 12 |

This college-level course is approved by the College Board as an official Advanced Placement course, following the curriculum requirements of the AP Calculus AB-level exam. In this rigorous course, students develop an understanding of calculus and gain experience with its methods and applications. They explore competencies such as limits and continuity, derivatives, and integrals. Students practice these skills through both individual and group work. They are assessed using class work, homework, quizzes, tests and projects. Students take the Advanced Placement standardized test in May. With a qualifying score on the AP test, students may earn college credit and/or placement when entering college. *AP Calculus is scheduled as a full year course (1 block—first semester/ 1/2 block—second semester). As preparation for the rigorous curriculum, students complete a mandatory summer review assignment prior to the first day of class.

**Expectation:**Self-Directed Learner**Prerequisite:**Completion of*Precalculus Honors with a grade of B– or higher or teacher recommendation***College Credits:**4 Running Start College Credits are available through Nashua Community College.
AP Statistics (Honors/AP) |
0378 |

1 1/2 Credits* |
Grades 11-12 |

This college level course is approved by the College Board as an official AP course, following the curriculum requirements of the AP Statistics exam. The purpose of the AP course in statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four conceptual themes: Exploring Data: Describing patterns and departures from patterns; Sampling and Experimentation: Planning and conducting a study; Anticipating Patterns: Exploring random phenomena using probability and simulation; Statistical Inference: Estimating population parameters and testing hypotheses.

Students who take the AP Statistics exam may be eligible for college credit and/or advanced placement depending on the college requirements and the exam score. A TI-Nspire calculator is required for this course. *AP Statistics is scheduled as a full year course (1 block 1st semester, 1/2 block 2nd semester).

Students who take the AP Statistics exam may be eligible for college credit and/or advanced placement depending on the college requirements and the exam score. A TI-Nspire calculator is required for this course. *AP Statistics is scheduled as a full year course (1 block 1st semester, 1/2 block 2nd semester).

**Expectation:**Complex Thinker

**Prerequisite:**Completion of Algebra II Honors with a grade of B or higher or teacher recommendation