ACCELERATED PATHWAY MATH 6 & 7 (6TH-7TH GRADE) (CC1, CC2, & CC3)
The Accelerated Pathway distributes the acceleration over grades 6 & 7. This plan offers the most flexibility and ease for students to opt in or out of acceleration with respect to the content and cognitive demand of these courses. If the pace is too demanding in the 6th grade, students can resume a regular 7th grade course with a head start. Students complete Core Connections, Course 1 and half of Core Connections, Course 2 in 6th grade, then complete Core Connections, Course 2 and of Core Connections, Course 3 in 7th grade. They take Core Connections Algebra I in 8th grade and receive high school credit. See Math 6, Math 7, & Math 8 for detailed topics. (Teacher approval required for this course.)
MATH 7 (7TH GRADE) (CC2 - CORE CONNECTIONS 2)
Students using College Prepatory Math (CPM) use problem-solving strategies, questioning, investigating, analyzing critically, gathering and constructing evidence, and communicating regorous arguments justifying their thinking. Students learn in collaboration with others while sharing information, expertise, and ideas.
Upon completion of this course, students should be able to:
- Use integers and complete operations with integers and rational numbers, including using the Order of Operations.
- Use percents and scale factors to determine percent increase or decrease, discounts, and markups.
- Simplify variable expressions by combining like terms and using the Distributive Property.
- Solve linear equations, including those with fractional coefficients and those with no solutions or infinitely many solutions.
- Solve and graph one-variable inequalities.
- Probability comparing experimental and theoretical probabilities; dependent and independent events, and calculate the probability of compound independent events.
- Represent probabilities of multiple events using systemic lists, area models, or tree diagrams.
- Collect and compare data and describe the distribution of sets of data.
- Solve distance, rate, and time problems.
- Recognize and solve problems involving proportional relationships.
- Recognize and use the properties of similar figures and scale factors to solve problems.
- Describe angles, angle pairs, and their measures.
- Compute area and perimeter of standard and compound shapes.
- Compute the volume of a variety of solids.
Math 8 (8th Grade) (CC3- Core Connections 3)
Core Connections, Course 3 is the third of a three-year sequence of courses designed to prepare students for a rigorous college preparatory high school mathematics course.
Upon completion of this course, students should be able to:
- Represent a linear function with a graph, table, rule, and context and create any representation when provided one of the others.
- Solve systems of equations by using tables and graphs.
- Symbolically manipulate expressions to solve problems including those with fractional coefficients.
- Solve contextual word problems using multiple strategies, including making tables, looking for patterns, drawing diagrams, and creating a table of guesses to assist with writing and solving a variable equation.
- Describe various geometric transformations on a coordinate grid.
- Represent data using scatterplots and describe associations.
- Collect and analyze data and make predictions based on the trend of the data.
- Compare ratios and calculate unit rates and slope ratios.
- Analyze the slope of a line graphically, numerically, and contextually.
- Recognize and solve problems involving proportional relationships.
- Graph and analyze non-linear functions.
- Recognize and use the properties of similar figures to solve problems.
- Use the Pythagorean Theorem and its converse to solve problems in two and three dimensions.
- Use square roots and cube roots.
- Represent and simplify expressions using positive and negative exponents.
- Represent and compare large and small numbers using standard and scientific notation.
- Perform operations with numbers represented in scientific notation.
- Use the relationships between angles created by parallel lines with transversals and the Triangle Angle Sum Theorem to solve problems.
- Compute the volume of a variety of solids.
PRE-ALGEBRA COURSE
In this course, students will learn to use new models and methods to think about and solve problems. Students will develop powerful mathematical tools and learn new ways of thinking about and investigating situations. Students will make connections, discover relationships, figure out what strategies can be used to solve problems, and explain their thinking. Students will explore statistics, probability, portions, area, perimeter, patterns, transformations, integer operations, proportional reasoning, inequalities, solving and graphing, linear equations, rates of change, percent’s, exponents, word problems, and the Pythagorean Theorem.
ALGEBRA COURSE
In this course, students will be exposed to the powerful set of tools called algebra. Students will investigate situations, discover relationships and patterns, generalize these relationships and patterns using the language of algebra, and figure out what strategies can be used to solve problems. This course not only focuses on the algebraic concepts of variables, graphs, linear relationships, solving equations (linear and quadratic), systems of equations, proportions, inequalities, simplifying expressions, factoring, multiplying polynomials, and introduces functions, but is also stresses the importance of problem solving throughout the course.
GEOMETRY COURSE
This course centers on the study of shapes. Students will investigate new situations, discover relationships between shapes and their characteristics, and figure out what strategies can be used to solve problems. Student will use inductive and deductive reasoning as they explore and discover the different relationships that appear in the shapes they study. Students will explore transformations, angles and their measures, similarity, proofs, right triangles, trigonometric ratios, probability, congruent triangles, quadrilaterals, polygons, circles, solids, and constructions. Advanced students may take Geometry in conjunction with Algebra 2 with department recommendation.
ALGEBRA 2 COURSE
This course aims to apply and extend what students have learned in Algebra 1 and Geometry by focusing students on looking at multiple representations of functions and relations and on finding connections among the ideas they are studying. Students in Algebra 2 will continue to use problem solving strategies, questioning, investigating and explaining in conjunction with their knowledge of the connections among Algebra, Geometry and functions to analyze problems and formulate solutions. Throughout the course, they will also use these strategies to extend their Algebraic knowledge to a college level and prepare students for Pre-Calculus, Trigonometry and Probability and Statistics.
ADVANCED MATHEMATICAL APPLICATIONS COURSE
Are you a student looking for that 4th year of Math or an additional Math class that integrates and applies math topics that you learned in your previous Math classes? If so, this course may be for you. Course topics will be explored, applied, and incorporated in various projects throughout the year in an effort to create a more hands-on experience with mathematics. Advanced Mathematical Applications will look at and extend topics covered in your previous math classes (Algebra, Geometry, and Algebra II). This course hopes to solidify and extend the student’s understanding of these topics through their application and connections with other fields of study. The class will help prepare you for college math placement tests, ASVAB and the ACCUPLACER as well as college Math classes.
PRE-CALCULUS - HONORS COURSE
Pre-Calculus is a course for college bound students who plan to continue their education in any area in which mathematics is encountered. This is a rigorous course with an expected work load similar to a college course. Pre-Calculus is fundamental to engineering, business, the physical and social sciences. This course deals mainly with continuous and infinite processes. Its subject matter includes the study of functions of many kinds, conic sections, logarithms, coordinate systems, logic, series and sequences, limits, and an introduction to the basic ideas of calculus. A graphic calculator is required. TI – 83 Plus, TI-84 or TI-Nspire is required.
AP CALCULUS AB COURSE
Calculus is a major tool for describing the real world in mathematical terms through the use of functions. Calculus helps us describe temperature variations, planetary motion, business cycles, brain waves, population growth or decay and heartbeat patterns to name a few of its uses. This course will include the study of limits, continuity, derivatives and integration. This course includes Calculus AB. TI-83 Plus, TI-84 or TI-NSpire is required.
AP CALCULUS BC COURSE
The course develops calculus in an intuitive, conceptual manner and prepares students for the AP calculus BC exam. Laboratory experiments and hands-on activities are integrated throughout the curriculum as key concepts of learning and conceptual understanding. Students are expected to work collaboratively in study teams; explain; justify and present ideas; and demonstrate persistence when asked to develop difficult concepts for themselves. This calculus course will incorporate technology on a daily basis as a tool for learning. All chapters have labs and other major investigations which will rely on the student’s proficiency with the graphing calculator. Key problems also rely on the regression feature of the calculator. Since the AP exam requires students to be proficient in using a graphing calculator, this course assumes that students have access to one in class and at home.
AP PROBABILITY/STATISTICS COURSE
This course is designed to provide a background in probability and statistics for college bound students. Course content includes fundamental probability theory, numerical analysis, and other statistical methods. Calculators and computers will be used extensively. A graphics calculator is required. A Texas Instrument TI-83 Plus, TI-84 or T-NSpire graphics calculator is required.
TRIGONOMETRY and ADVANCED MATHEMATICAL CONCEPTS - HONORS COURSE
This course is designed for students interested in engineering and the physical sciences. This course will reinforce and expand several Trigonometric concepts including those learned in Algebra II and Geometry. It will also cover some advanced mathematical topics not included in the Pre-Calculus curriculum such as polar coordinates, vectors, parametric equations, and other topics useful in engineering and Calculus II. The applications of these concepts will also be a focal point, especially their applications to engineering and the physical sciences. This class may be taken alone or simultaneously with Pre-Calculus Calculus I.
INDIVIDUALIZED MATHEMATICS COURSE
Developed and assigned by a committee.
