Algebra 2 (& GT)

Overarching Standards

Instructional Note: The following standards should be emphasized throughout all units of instruction. These standards should not be taught in isolation.
What will my child learn?

Students will:

Reason quantitatively and use units to solve problems.
N.Q.A.2
Define appropriate quantities for the purpose of descriptive modeling. 
Interpret the structure of expressions.
A.SSE.A.2
Use the structure of an expression to identify ways to rewrite it.
Create equations that describe numbers or relationships.
A.CED.A.1
Create equations and inequalities in one variable and use them to solve problems.
Interpret functions that arise in applications in terms of a context.
F.IF.B.5
Relate the domain of a function to its graph and, where applicable, to the quantitative relationship it describes.  For example, if the function h(n) gives the number of person-hours it takes to assemble n engines in a factory, then the positive integers would be an appropriate domain for the function.* 
F.IF.B.6
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. 
Summarize, represent, and interpret data on quantitative variables.
S.ID.B.6
Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. 
a. Fit a function to the data; use functions fitted to data to solve problems in the context of the data. Use given functions or choose a function suggested by the context. Emphasize linear and exponential models.
b. Informally assess the fit of a linear function by plotting and analyzing residuals.
c. Fit a linear function for a scatter plot that suggests a linear association.
What are some signs of student mastery?
  • Uses the structure of polynomial, exponential and rational expressions to create equivalent expressions in solving mathematical problems with three or more steps required.
  • Evaluates with, uses and interprets with function notation within a context.
  • Given a context, writes and analyzes a linear or quadratic function.
  • For linear and quadratic functions that model contextual relationships, determines and interprets key features, graphs the function, and solves problems.
  • Calculates and interprets the average rate of change of linear, exponential, quadratic, square root, cube root and piece-wise-defined functions (presented symbolically or as a table) over a specified interval, and estimates the rate of change from a graph.
  • Compares rates of change associated with different intervals.
  • Uses the means and standard deviations of data sets to fit them to normal distributions.
  • Fits exponential or trigonometric functions to data in order to solve multi-step contextual problems.
  • Given multiple functions in different forms (algebraically, graphically, numerically and by verbal description), writes multiple equivalent versions of the functions, and identifies and compares key features.
  • Graphs polynomial, trigonometric and logarithmic functions, showing key features.
  • Determines how the changes of a parameter in functions impact their other representations.
Tools & Technology
Desmos is a free online graphing calculator that works on any computer or tablet without requiring any downloads. A FREE Desmos iPad app is available too!

Try out the Line of Best Fit Guesstimator from NCTM!