# Math

Our comprehensive math program develops critical thinking and logic. Classes build a strong foundation of skills necessary for further exploration of mathematics and application to scientific problems. Sections provide appropriate challenges for student skill levels.

## Habits of Mind

• Account for how your brain works. Be intentionally open to learning.
• Establish a process for solving problems.
• Use multiple approaches and ways to solve problems. For example, visualize problems and solutions, draw a picture.
• Look for connections….ask and apply.
• Look for patterns….ask and apply.
• Find mathematical equivalence.
• Ask why of yourself and others.
• Represent mathematical ideas in a variety of ways.
• Communicate your thinking both verbally and in writing.
• Attend to precision and check your accuracy.
• Persevere. Tinker, try stuff, be willing to make mistakes and don’t erase them. Take a risk.

Math during the 6th grade year at the Northwest School is the beginning of a Pre‐Algebra, Pre‐Geometry course. There are 3 aspects to the program.

Units of Study:

• Data organization/graphing
• Measurement
• Number theory and relationships
• Algebraic thinking and formulas
• Ratios, Proportions, Percent, and Similarity
• Probability
• Geometry topics

Problem of the Week—a multi-step problem where students practice:

• Problem solving strategies
• Communicating mathematical thinking
• Presenting work in an organized way

Basic Skills Review & Practice:

• Adding, subtracting, multiplying, and dividing fractions and decimals
• Place value
• Percents
• Converting fractions, decimals, and percents
• Area and perimeter
• Finding the mean, median, and mode of a set of data

Math during 7th grade at The Northwest School is the second year of the Pre-Algebra, Pre-Geometry course begun in 6th grade. The program has the same 3 aspects (Units of Study, Problem of the Week, Basic Skills Review & Practice).

Units of Study:

• Patterns and generalizing patterns using a variable
• Signed numbers
• Inequalities
• Matrix addition, subtraction and multiplication
• Simplifying algebraic expressions, using variables, solving equations and inequalities
• Translating word problems into algebraic equations
• Ratios, Proportions, Percents in relation to algebraic equations
• More advanced angle measurement and geometric properties involving angles
• More on geometric formulas for triangles, quadrilaterals, and circles
• Graphing on a coordinate grid
• Geometric properties of lines and other geometric figures
• Transformations of polygons