Mathematics

The Accelerated Math 6 Plus (AMP 6) course begins with a study of area and surface area concepts. This work sets the tone for later units that use area models for arithmetic using rational numbers. Next, students begin study of ratios, rates, and percentages with an introduction using representations such as number line diagrams, tape diagrams, and tables. Student understanding of these concepts expands by exploring fraction and decimal representations of rational numbers. They explore sums, differences, products, and quotients using intuitive methods and efficient algorithms. Next, students are introduced to equations and expressions including finding solutions for linear equations in one variable and basic equations involving exponents. Student understanding of ratios and rates combined with a basic understanding of equations leads students to study proportional relationships with special emphasis on circumference and area of a circle as an example and nonexample of proportional relationships. This is followed by looking at percentage concepts and applications such as sales tax, tipping, and markup. They learn about rational numbers less than zero expanding their understanding of arithmetic to negative numbers. A brief study of data and statistics concludes the new concepts in the course. The last unit offers students an optional opportunity to synthesize their learning from the year using a number of different applications.

(1 high school credit)

The Algebra 1 A/B Course is designed to explore, analyze, and model real-world phenomena through a mathematical lens.  Exploration of linear, exponential, and quadratic functions forms the foundation of the course.  Students develop conceptual understanding and fluency in solving equations, inequalities, and systems by explaining and validating their reasoning with increased precision.  Students deepen their understanding of functions and their ability to represent, interpret, and communicate about them. Key characteristics and representations of functions—graphic, numeric, symbolic, and verbal—are analyzed and compared. Students use these representations to model relationships and constraints, but also reason with them abstractly.   One- and two-variable data sets are interpreted using mathematical models.  Gathering and displaying data, measuring data distribution, and interpreting statistical results encourages students to collaborate, communicate, and explore new tools and routines.  They then take these insights to a unit on two-variable statistics, where they extend their prior knowledge of scatter plots and lines of best fit.  Throughout the units of study, classroom activities provide students with opportunities to engage in aspects of mathematical modeling. Modeling prompts are used so that students experience and engage in the full modeling cycle. In Algebra I, there are approximately two units per quarter.  MCPS has resequenced the units, so that the statistical units are at the end of the course.

Math 180 Course Overview:

Math 180 is a comprehensive system of instruction, assessment, and professional development designed to help older, struggling students thrive in algebra. The program directly addresses individual needs through adaptive and instructional software, high-interest materials, and direct instruction in mathematical calculation and application skills. Students rotate among a small group, teacher-directed lessons, a computer station for reinforcement and practice, and an independent brain arcade where students complete math problems at their instructional level. Built with the student in mind, the learning experience is a uniquely motivating and fun way to accelerate to grade-level ability.