As students master the 6th Grade Mathematics AKS, they are expected to:

• Apply and extend previous understanding of numbers to include the system of rational numbers
• Understand ratio concepts and use ratio reasoning to solve problems
• Reason about and solve one-variable equations and inequalities
• Represent and analyze quantitative relationships between dependent and independent variables
• Apply and extend previous understanding of multiplication and division to divide fractions by fractions
• Summarize and describe distributions
• Develop understanding of statistical variability
• Solve real-world problems involving area, surface area, and volume.

As students master the 7th Grade Mathematics AKS, they are expected to:

• Apply and extend previous understanding of operations with fractions to add, subtract, multiply and divide rational numbers
• Analyze proportional relationships and use them to solve real world and mathematical problems
• Use numerical and algebraic expressions and equations to solve real-world and mathematical problems
• Use properties of operations to generate equivalent expressions
• Investigate, develop, use, and evaluate probability models
• Describe the relationships between geometric figures
• Use random sampling to draw population inferences.

As students master the 8th Grade Mathematics AKS, they are expected to:

• Understand the connections between proportional relationships, lines, and linear equations
• Work with radicals and integer exponents
• Define, evaluate, and compare functions
• Use functions to model relationships between quantities
• Investigate patterns in data
• Understand congruence and similarity using physical models and software
• Understand and apply the Pythagorean Theorem
• Solve real-world and mathematical problems involving the volume of cylinders, cones, and spheres.