## MS Mathematics

An essential element in meeting our mission is to ensure that students are developing into effective mathematical problem-solvers and thinkers. Through problem solving, reasoning, logic, and communication in a variety of situations, students come to appreciate the wider application and use of mathematics, both as a discipline in its own right and as a means of interpreting and understanding the world.

The 6-8 mathematics program is based on the rigorous Common Core Standards, which are divided into six domains in the MS: Ratios & Proportional Relationships, The Number System, Expressions and Equations, Geometry, Functions, and Statistics & Probability.

### Mathematical Practices

Introduced at the beginning of the year and built upon continuously, these eight Mathematical Practices are the foundation for all math learning.

• Make sense of problems and persevere in solving them;
• Reason abstractly and quantitatively;
• Construct viable arguments and critique the reasoning of others;
• Model with mathematics;
• Use appropriate tools strategically;
• Attend to precision;
• Look for and make use of structure;
• Look for and express regularity in repeated reasoning.

### Ratios and Proportional Relationships

• Understands ratio concepts and uses ratio reasoning to solve problem

### The Number System

• Applies and extends previous understandings of multiplication and division to divide fractions by fractions.
• Multiplies and divides multi-digit numbers and finds common factors and multiples.
Applies and extends previous understandings of numbers to the system of rational numbers.

### Expressions and Equations

• Applies and extends previous understandings of arithmetic to algebraic expressions.
• Reasons about and solves one-variable equations and inequalities.

### Geometry

• Solves real-world and mathematical problems involving area, surface area, and volume.

### Statistics and Probability

• Developing an understanding of statistical variability.
• Summarizes and describes distributions.

### Mathematical Practices

• Efficiently applies strategies to solve problems.
• Clearly communicates mathematical thinking.

### Ratios and Proportional Relationships

• Analyzes proportional relationships and uses them to solve real-world and mathematical problems.

### Expressions and Equations

• Uses properties of operations to generate equivalent expressions.
• Solves real-life and mathematical problems using numerical and algebraic expressions and equations.

### Geometry

• Draws, constructs and describes geometrical figures and describes the relationships between them.
• Solves real-life and mathematical problems involving angle measure, area, surface area, and volume.

### Statistics and Probability

• Uses random sampling to draw inferences about a population.
• Draws informal comparative inferences about two populations.
• Investigates chance processes and develops, uses, and evaluates probability.

### Mathematical Practices

• Makes sense of problems and perseveres in solving them.
• Clearly communicates mathematical thinking.

### The Number System

• Analyzes proportional relationships and uses them to solve real-world and mathematical problems.

### Expressions and Equations

• Works with radicals and integer exponents.
• Understands the connections between proportional relationships, lines, and linear equations.
• Analyzes and solves linear equations and pairs of simultaneous linear equations.

### Geometry

• Understands congruence and similarity using physical models, transparencies, or geometry software.
• Understands and applies the Pythagorean Theorem.
• Solves real-world and mathematical problems involving volume of cylinders, cones and spheres.

### Statistics and Probability

• Investigates patterns of association in bivariate data. Functions
• Defines, evaluates, and compares functions.
• Uses functions to model relationships between quantities.

### Mathematical Practices

• Makes sense of problems and perseveres in solving them.
• Clearly communicates mathematical thinking.