Standard 1: Number Sense, Properties, and Operations Grade 6

1. Quantities can be expressed and compared using ratios and rates.
2. Formulate, represent, and use algorithms with positive rational numbers with flexibility, accuracy, and efficiency.
3. In the real number system, rational numbers have a unique location on the number line and in space.

Standard 2: Patterns, Functions, and Algebraic Structures Grade

1. Algebraic expressions can be used to generalize properties of arithmetic.
2. Variables are used to represent unknown quantities within equations and inequalities.

Standard 3: Data Analysis, Statistics, and Probability Grade 6

Visual displays and summary statistics of one-variable data condense the information in data sets into usable knowledge.

Standard 4: Shape, Dimension, and Geometric Relationships Grade 6

1. Objects in space and their parts and attributes can be measured and analyzed.
2. Linear measure, angle measure, area, and volume are fundamentally different and require different units of measure.

Standard 1: Number Sense, Properties, and Operations Grade 7

1. Proportional reasoning involves comparisons and multiplicative relationships among ratios.
2. Formulate, represent, and use algorithms with rational numbers flexibly, accurately, and efficiently.

Standard 2: Patterns, Functions, and Algebraic Structures Grade 7

1. Properties of arithmetic can be used to generate equivalent expressions.
2. Equations and expressions model quantitative relationships and phenomena.

Standard 3: Data Analysis, Statistics, and Probability Grade 7

1. Statistics can be used to gain information about populations by examining samples.
2. Mathematical models are used to determine probability.

Standard 4: Shape, Dimension, and Geometric Relationships Grade

1. Modeling geometric figures and relationships leads to informal spatial reasoning and proof.
2. Linear measure, angle measure, area, and volume are fundamentally different and require different units of measure.

Standard 1: Number Sense, Properties, and Operations Grade 8

In the real number system, rational and irrational numbers are in a one-to-one correspondence to points on the number line.

Standard 2: Patterns, Functions, and Algebraic Structures Grade 8

1. Linear functions model situations with a constant rate of change and can be represented numerically, algebraically, and graphically.
2. Properties of algebra and equality are used to solve linear equations and systems of equations.
3. Graphs, tables, and equations can be used to distinguish between linear and nonlinear functions.

Standard 3: Data Analysis, Statistics, and Probability Grade 8

Visual displays and summary statistics of two-variable data condense the information in data sets into usable knowledge.

Standard 4: Shape, Dimension, and Geometric Relationships Grade 8

1. Transformations of objects can be used to define the concepts of congruence and similarity.
2. Direct and indirect measurements can be used to describe and make comparisons.

Standard 1: Number Sense, Properties, and Operations Algebra I

1. The complex number system includes real numbers and imaginary numbers.
2. Quantitative reasoning is used to make sense of quantities and their relationships in problem situations.

Standard 2: Patterns, Functions, and Algebraic Structures Algebra I

1. Functions model situations where one quantity determines another and can be represented algebraically, graphically, and using tables.
2. Quantitative relationships in the real world can be modeled and solved using functions.
3. Expressions can be represented in multiple, equivalent forms.
4. Solutions to equations, inequalities, and systems of equations are found using a variety of tools.

Standard 3: Data Analysis, Statistics, and Probability Algebra I

Visual displays and summary statistics condense the information in data sets into usable knowledge.