Learning at AAS

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.

Math Reportables

GRADE 6

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.

GRADE 7

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.

GRADE 8

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.