# Math

## Sixth Grade

*Math Course 1*

This course explores concepts in addition, subtraction, multiplication, and division of whole numbers, decimals, and fractions. In addition, topics of ratio, proportion, percents, basic geometry, probability, and statistics are explored using various types of graphs. The course emphasizes skills in problem solving, organization, and communication of understanding through written work and through cooperative learning. This is the introduction to the Common Core Math in the middle school. We use the College Preparatory Math Series (CPM).

## Seventh Grade

**Course 2**

Core Connections, Course 2 is the second of a three-year sequence of courses designed to prepare students for a rigorous college preparatory algebra course. It uses a problem-based approach with concrete models. The course helps students to develop multiple strategies to solve problems and to recognize the connections between concepts. The lessons in the course meet all of the content standards and embed the “Mathematical Practices” of the Common Core State Standards released in June 2010.

Upon completion of this course, students should be able to:

- Model integers and operations with integers and rational numbers including using order of operations.
- Use linear models and equal ratios to represent part-whole relationships.
- Use percents and scale factors to determine percent increase or decrease, discounts and markups.
- Use variable expressions to represent quantities in contextual problems.
- 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 infinite solutions.
- Solve and graph one-variable inequalities.
- Compare experimental and theoretical probabilities.
- Distinguish between dependent and independent events and calculate the probability of compound independent events.
- Represent probabilities of multiple events using systemic lists, charts, or tree diagrams.
- Design, conduct and analyze surveys.
- Collect and compare data and describe the distribution of sets of data.
- Solve distance, rate and time problems.
- Compare ratios and calculate unit rates.
- Recognize and solve problems involving proportional relationships.
- Recognize and use the properties of similar shapes 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.

**Course 3**

Core Connections, Course 3 is the third of a three-year sequence of courses designed to prepare students for a rigorous college preparatory algebra course. It uses a problem-based approach with concrete models. The course helps students to develop multiple strategies to solve problems and to recognize the connections between concepts. The lessons in the course meet all of the content standards and embed the “Mathematical Practices” of the Common Core State Standards released in June 2010.

Upon completion of this course, students should be able to:

- Represent a linear function with a graph, table, rule, and context and should be able to find any representation when provided one of the others
- Solve systems of equations represented in tables and graphs.
- Symbolically manipulate expressions in order 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 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, 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 shapes to solve problems.
- Use the Pythagorean Theorem and its converse to solve problems in 2 and 3 dimensions.
- Use square 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 sum theorem to solve problems.
- Compute the volume of a variety of solids.

## Eighth Grade

**Pre-Algebra 2**

Foundations for Algebra (year 2) course will prepare students for future algebra courses. The contents of this course are many of the fundamental ideas and procedures necessary to be successful in subsequent math courses and many careers. During this course, students will collaborate with other students as a member of a study team. The investigations, problems, and practice exercises are designed to develop logical and mathematical reasoning skills. The sequence of problems leads to understanding the reasoning behind the mathematical concepts. Students will complete guided investigations that explore and develop ideas, then practice them along with procedural skills in subsequent chapters. This course is a spiral curriculum – a concept is discovered and then practiced and revisited throughout the year. In order to be successful in mathematics it is critical that the students actively participate in your learning.

Units:

- Integers and Data Interpretation
- Integers and Solving Equations
- Order of Operations and More Integers
- Area and Multiplication
- Ratios, Measurement, and Equivalent Fractions • Ratio and Proportion
- Operations with Fractions and Decimals
- Geometry, Properties, and Equations
- Circles and Cylinders
- Probability, Statistics, and Interpreting Data

**Algebra 8**

Algebra Connections is a challenging algebra curriculum that provides the opportunity for all students to meet or exceed expected state and local standards. Lessons and problems are constructed to offer visual representation of many ideas and use manipulative and models to support learning when appropriate. Study teams also encourage mathematical discourse. The program’s instructional materials provide context-rich problems to introduce students to algebraic concepts. Problems are grounded in situations that are familiar and understandable to the student.

Units:

- Problem Solving
- Variables and Proportions
- Graphs and Equations
- Multiple Representations
- Multiplication and Proportions • Systems of Equations
- Linear Relationships
- Quadratics
- Inequalities
- Simplifying and Solving

**Geometry 8**

This is an academically challenging and rigorous math course equivalent to Intermediate Geometry at Pulaski High School. The aim of the course is to clarify, simplify, unify, and broaden basic ideas in mathematics with an emphasis on geometry. An integrated approach using manipulatives is used to relate algebra, geometry, statistics, logic, probability, and other discrete mathematical topics in each chapter. These basic concepts are continued in the next two years of this program. The tone of instruction will be aimed at advance math students. Regular daily assignments will be required. Students will be working in study teams. A loose-leaf three-ring binder is recommended, and a scientific calculator and graph paper are required.

Units:

- Shapes and Transformations
- Angles and Measurement
- Justification and Similarity
- Trigonometry and Probability
- Completing the Triangle Toolkit
- Congruent Triangles • Proof and Quadrilaterals
- Polygons and Circles
- Solids and Constructions
- Circles and Expected Values
- Solids and Circles
- Conics