Numbers and Operations
Operations with Real Numbers and Expressions: Represent and/or use numbers in equivalent forms (e.g., integers, fractions, decimals, percents, square roots, and exponents). Apply number theory concepts to show relationships between real numbers in problem solving settings. Use exponents, roots, and/or absolute values to solve problems. Use estimation strategies in problem-solving situations. Simplify expressions involving polynomials.
Linear Equations and Inequalities
Linear Equations: Write, solve, and/or graph linear equations using various methods. Write, solve, and/or graph systems of linear equations using various methods.
Linear Inequalities: Write, solve, and/or graph linear inequalities using various methods. Write, solve, and/or graph systems of linear inequalities using various methods.
Functions and Coordinate Geometry
Functions: Analyze and/or use patterns or relations. Interpret and/or use linear functions and their equations, graphs, or tables.
Coordinate Geometry: Describe, compute, and/or use the rate of change (slope) of a line. Analyze and/or interpret data on a scatter plot.
Data Analysis: Use measures of dispersion to describe a set of data. Use data displays in problem solving settings and/or to make predictions. Apply probability to practical situations.
CC.2.1.HS.F.1 Apply and extend the properties of exponents to solve problems with rational exponents.
CC.2.1.HS.F.2 Apply properties of rational and irrational numbers to solve real-world or mathematical problems.
CC.2.1.HS.F.3 Apply quantitative reasoning to choose and interpret units and scales in formulas, graphs, and data displays.
CC.2.1.HS.F.4 Use units as a way to understand problems and to guide the solution of multi-step problems.
CC.2.2.HS.C.1 Use the concept and notation of functions to interpret and apply them in terms of their context.
CC.2.2.HS.C.2 Graph and analyze functions and use their properties to make connections between the different representations.
CC.2.2.HS.C.3 Write functions or sequences that model relationships between two quantities.
CC.2.2.HS.C.5 Construct and compare linear, quadratic, and exponential models to solve problems.
CC.2.2.HS.C.6 Interpret functions in terms of the situations they model.
CC.2.2.HS.D.1 Interpret the structure of expressions to represent a quantity in terms of its context.
CC.2.2.HS.D.2 Write expressions in equivalent forms to solve problems.
CC.2.2.HS.D.3 Extend the knowledge of arithmetic operations and apply to polynomials.
CC.2.2.HS.D.5 Use polynomial identities to solve problems.
CC.2.2.HS.D.7 Create and graph equations or inequalities to describe numbers or relationships.
CC.2.2.HS.D.9 Use reasoning to solve equations and justify the solution method.
CC.2.2.HS.D.10 Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.
C.2.4.HS.B.1 Summarize, represent, and interpret data on a single count or measurement variable.
CC.2.4.HS.B.2 Summarize, represent, and interpret data on two categorical and quantitative variables.
CC.2.4.HS.B.3 Analyze linear models to make interpretations based on the data.
Standards for Mathematics Practices
MP3: Construct viable arguments and critique the reasoning of others.
Justify their conclusions, communicate them to others, and respond to the arguments of others.
MP4: Model with mathematics.
Apply the mathematics they know to solve problems arising in everyday life, society, and the workplace.
MP5: Use appropriate tools strategically.
Be familiar with tools appropriate for their grade or course to make sound decisions about when each of these tools might be helpful, recognizing both the insight to be gained and their limitations.