Numbers and Operations
Rational Numbers and Irrational Numbers: Distinguish between rational and irrational numbers using their properties.
Expressions: Apply concepts of integer exponents to generate equivalent expressions. Use and evaluate square roots and cube roots to represent solutions to equations.
Linear Equations: Analyze and describe linear relationships between two variables, using slope. Make connections between slope, lines and linear equations. Analyze, model and solve linear equations, Analyze and solve pairs of simultaneous equations. Interpret solutions to a linear equation and systems of two linear equations.
Functions: Define, interpret, and compare functions displayed algebraically, graphically, numerically in tables, or by verbal descriptions. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Geometric Relationships: Use various tools to understand and apply geometric transformations to geometric figures. Apply the Pythagorean Theorem and its converse to solve mathematical problems in two and three dimensions.
Measurement, Data and Probability
Data and Distributions: Construct, analyze, and interpret bivariate data displayed in scatter plots, Identify and use linear models to describe bivariate measurement data. Use frequencies to analyze patterns of association seen in bivariate data.
Estimate irrational numbers by comparing them to rational numbers.
Apply concepts of radicals and integer exponents to generate equivalent expressions.
Understand the connections between proportional relationships, lines, and linear equations.
Analyze and solve linear equations and pairs of simultaneous linear equations.
Define, evaluate, and compare functions.
Use concepts of functions to model relationships between quantities.
Understand and apply congruence, similarity, and geometric transformations using various tools.
Understand and apply the Pythagorean Theorem to solve problems.
Analyze and/or interpret bivariate data displayed in multiple representations.
Standards for Mathematics Practices
Make sense of problems and persevere in solving them.
Embed a systems and routines that allow students to engage in productive struggle and take ownership in their progress and growth toward intended learning outcomes.
Model with mathematics.
Include regular collaborative opportunities for students to work together with others as a team on modeling tasks that provide multiple pathways for success and that require reasoning and problem solving.
Use appropriate tools strategically.
Provide opportunities for students to consider tools they may use to solve a problem and justify its appropriateness.