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.

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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. 

• Check for Understanding: Interpret Units in Formulas
  
• Review/Rewind:  ​Dimensional Analysis

• Enrichment Tasks: Weed Killer | Giving Raises

Interpret the structure of expressions.
A.SSE.A.2
Use the structure of an expression to identify ways to rewrite it.

• Check for Understanding:  The Distributive Property with Variables | Factoring Difference of Squares 1
• Review/Rewind:  Finding Zeros of Polynomias

• Enrichment Tasks: Seeing Dots | Cubic Identity

Create equations that describe numbers or relationships.
A.CED.A.1
Create equations and inequalities in one variable and use them to solve problems.

• Check for Understanding: Modeling with One-Variable Equations and Inequalities 
• Review/Rewind:  Equations and Inequalities Word Problems

• Enrichment Tasks: Sum of Angles in a Polygon | Bernardo and Sylvia Play a Board Game

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.* 

• Check for Understanding: Domain and Range from Graph | Domain of a Function
• Review/Rewind:  How to Find Domain and Range
• Enrichment Tasks: Average Cost | Oakland Coliseum

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. 

• Check for Understanding: Average Rate of Change
• Review/Rewind:  Intro to the Average Rate of Change

• Enrichment Tasks: 1,000 is half of 2,000 | Temperature Change

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.

• Check for Understanding: Assessing the Fit of a Line | Linear Models of Bivariate Data
• Review/Rewind: ​Fitting a Line to Data

• Enrichment Tasks: Used Subaru Foresters I | Coffee and Crime

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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!

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