Cluster: Write expressions in equivalent forms to solve problems
Standard: Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. For example, calculate mortgage payments.*
Cluster: Create equations that describe numbers or relationship
Standard: Create equations that describe numbers or relationship. Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.*
Cluster: Create equations that describe numbers or relationship
Standard: Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.*
Cluster: Represent and solve equations and inequalities graphically
Standard: Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line).
Cluster: Analyze functions using different representations
Standard: Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.
Cluster: Build a function that models a relationship between two quantities
Standard: Write a function that describes a relationship between two quantities.*
Cluster: Construct and compare linear, quadratic, and exponential models and solve problems
Standard: Construct and compare linear, quadratic, and exponential models and solve problems. Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).*
Cluster: Construct and compare linear, quadratic, and exponential models and solve problems
Standard: Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.*
Cluster: Interpret expressions for functions in terms of the situation they model
Standard: Interpret the parameters in a linear or exponential function in terms of a context.*
Cluster: Summarize, represent, and interpret data on two categorical and quantitative variables
Standard: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.*
Cluster: Interpret linear models
Standard: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.*
Cluster: Interpret linear models
Standard: Compute (using technology) and interpret the correlation coefficient of a linear fit.*