Mathematics Department

Math 7 is the first year of a two-year sequence covering the full Pre-Algebra curriculum. Topics presented in the seventh grade curriculum include Rational Number Operations and Properties, Solving Equations and Inequalities with Rational Numbers, Using Rates, Ratios, Proportions, and Percents, Two and Three Dimensional Geometry, and Data, and Displays. Through numerous real- life applications and opportunities for discovery and investigation, the students experience the value of Mathematics as a useful tool for solving problems.

Math 8 is the second year of the Pre-Algebra sequence. The program increasingly emphasizes critical thinking and mathematical reasoning. Topics include Solving Equations using Exponents and Roots; Solving Multi-step Equations; Similarity and Congruence; Data, Statistics, and Probability; Coordinate Graphing; Functions; and Polynomials. Other topics include applied statistics in decision-making, and other real-world applications of mathematics to architecture, engineering, games and inventions.

Pre-Algebra contains the full range of topics presented in the seventh and eighth grade mathematics courses. This course enables the most capable students to progress from sixth grade mathematics to Algebra I in one year. Topics presented include Variables, Solving Equations and Inequalities, the Real Number System, Geometry, Percents, the Coordinate Plane, Area, Volume, Analyzing and Graphing Data, and Probability. An emphasis is placed on Reasoning, Problem Solving, Communication Skills, Number Relationships and Theory, Patterns, and Understanding Algebraic Concepts.

The Algebra I curriculum stresses the usefulness of mathematics through real-life applications. Manipulatives and technology provide students with activities for exploring concepts. Topics covered include Solving Equations and Inequalities, Functions, Analyzing and Graphing Data, Probability, Percents, the Coordinate Plane and Graphing, Operations with Polynomials, Factoring Polynomials, Radicals, Quadratic Equations, Operations with Rational Expressions and Trigonometry.

Credit: 1

Prerequisite: Algebra 1

The study of plane geometry is combined with topics in coordinate geometry, an introduction to trigonometry and periodic review of algebra skills. This course primarily focuses on the axiomatic system of Euclidean geometry and the deductive process, with an introduction to the inductive process as well. The properties of polygons and circles are studied in depth as well as the concepts of area, surface area, and volume. Students study congruency, similarity, and transformations to recognize the relationships between figures. “Geogebra”, a dynamic geometric software program is used both as a demonstration and as an investigative tool. Throughout, students will apply what they learn to real-life applications.

Credit: 1

The main purpose of the geometry curriculum is to develop geometric skills and concepts and the ability to construct formal logical arguments and proofs in a geometric setting. Geometry is a comprehensive course covering Euclidean geometry, geometric terms and processes, logic and problem solving and formal proofs. It also includes an introduction to trigonometry as well as three dimensional shapes.

Like the regular Geometry course, the Honors Geometry curriculum is based on the Pennsylvania State Geometry Standards. Honors Geometry is an alternative to Geometry for highly motivated mathematics students. The depth, breadth and rigor of the Honors Geometry course is intended to prepare students for success in higher mathematics courses. Accordingly, the curriculum is designed for students with a strong mathematics background who are able to commit to the additional workload and study time that may be required.

Pre-Requisites

In order to enroll in Honors Geometry, students must have

1. an average of 92 or higher in Algebra 1 and

2. a teacher recommendation and

3. a score of Proficient or Advanced on the Algebra 1 Keystone exam

Prerequisite: Algebra 2

The Pre-calculus course is primarily designed to prepare college capable students for calculus. The close relationships among algebra, geometry, trigonometry and elementary analytic geometry are investigated. This course should follow after Algebra II. This course is a natural progression for those students who will be embarking on a math or science major in college or who will complete the full sequence of math courses offered at Jenkintown High School.

Credit: 1

Prerequisite: Algebra 2

The purpose of statistics is to introduce students to the major concepts and tools for collecting, analyzing and drawing conclusions from data. Students are exposed to four broad conceptual themes: (1) Exploring Data: Describing patterns and departures from patterns, (2) Sampling and Experimentation: Planning and conducting a study, (3) Anticipating Patterns: Exploring random phenomena using probability and simulation, (4) Statistical Inference: Estimating population parameters and testing hypotheses.

Credit: 1

Prerequisite: 93% or higher in Precalculus, Teacher Recommendation (Success in AP Calculus is closely tied to the preparation students have had in courses leading up to the AP course. Students should have demonstrated mastery of Algebra, Geometry, Algebra 2, and Precalculus.)

AP Calculus AB is primarily concerned with developing the students’ understanding of the concepts of calculus and providing experience with its methods and applications. The course emphasizes a multi-representational approach to calculus, with concepts, results, and problems being expressed graphically, numerically, analytically, and verbally. The focus of the course is neither manipulation nor memorization of an extensive taxonomy offunctions, curves, theorems, or problem types. The core of the course focuses on the central ideas of limits, derivatives, and integrals. As such, the course becomes a cohesive whole rather than a collection of unrelated topics, allowing students to develop an appreciation of calculus as a body of knowledge and as a human accomplishment.

Credit: 1

Prerequisite: Teacher or guidance counselor recommendation

This course is designed to assist students on an individual basis. It aims to increase success in problem-solving and promotes confidence in mathematics. Priority is given to students scoring basic or below on the Algebra Keystone Assessment. (Course is graded as Pass/Fail.)

Credit: .5 or 1 elective credit.

Prerequisite: Teacher or guidance counselor recommendation

This course is designed to assist students on an individual basis. It aims to increase success in problem-solving and promotes confidence in mathematics. Priority is given to students scoring basic or below on the Algebra Keystone Assessment. (Course is graded as Pass/Fail.)

Credit: .5 or 1 elective credit.