Students investigate patterns, functions and quantitative relationships and apply that knowledge to modeling, analyzing or solving mathematical and real-word problems.

PA.4

Depth 1

Students use symbolic forms, operations, and properties to represent, model, solve, and analyze mathematical situations and structures.

PA.5

Depth 1

Students explore properties, relationships, and transformations of shapes and space using coordinate geometry and other representational systems.

PA.6

Depth 1

Students explore concepts and practical applications of units, geometrical constructions, and measurements of plane and geometric shapes and space.

PA.7

Depth 1

Students demonstrate statistical thinking and apply statistical methods to collect, organize, analyze, display, and make inferences based on data.

PA.8

Depth 1

Students use concepts of chance and probability to explain outcomes of real-life situations.

PA.1.1

Depth 2

Classify, express, compare, and perform computations with rational numbers

PA.1.2

Depth 2

Identify, estimate, and compare sizes of irrational numbers

PA.2.1

Depth 2

Apply and extend previous understandings of arithmetic operations to rational or irrational numbers in solving real-world and mathematical problems.

PA.2.2

Depth 2

Work with radicals and integer exponents fluently

PA.3.1

Depth 2

Define, evaluate, and compare linear functions

PA.3.2

Depth 2

Model relationships between quantities using functions

PA.3.3

Depth 2

Recognize the connections between proportional relationships, lines, and linear equations

PA.4.1

Depth 2

Analyze and solve linear equations and inequalities

PA.4.2

Depth 2

Analyze and solve pairs of simultaneous linear equations

PA.5.1

Depth 2

Evaluate and find angles in polygons using properties of a triangle

PA.5.2

Depth 2

Use and apply the Pythagorean theorem and its converse to solve problems

PA.5.3

Depth 2

Identify parallel and perpendicular lines, and calculate the angles formed by a transversal

PA.5.4

Depth 2

Apply congruence and similarity using physical models

PA.6.1

Depth 2

Solve real-world and mathematical problems involving volumes of geometric containers

PA.6.2

Depth 2

Draw geometric shapes with given conditions

PA.6.3

Depth 2

Draw, construct, and describe area and circumference of a circle, including use of scale drawing for geometric figures

PA.7.1

Depth 2

Describe random processes that underlie statistical experiments

PA.7.2

Depth 2

Estimate the measures of central tendency for a data set

PA.7.3

Depth 2

Identify or describe the patterns of association in a bivariate categorical data (having two variables), represented in a two-way table

PA.8.1

Depth 2

Define, determine, and demonstrate probability of events using simple experiments

Framework metadata

Source document: American Samoa Department of Education MATHEMATICS Content Standards
License: CC BY 4.0 US