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 all 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 Preparatory Math (CPM) use problem-solving strategies, questioning, investigating, analyzing critically, gathering and constructing evidence, and communicating rigorous 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
|