Unit Focus:  Linear Functions (multiple representations)

Crosswalk Coach Connection:
 - Lesson 21 - Solving Problems with Functions
 - Lesson 22 - Using graphs to describe relationships (Piecewise Functions)
 - Lesson 23 - Comparing Properties of Linear Functions

This week in math, we will complete our study of linear functions, which includes:
 -- Identifying functions from multiple representations
 -- Distinguishing between linear and nonlinear relationships
 -- Applying function rules
 -- Intro to writing function rules

Since knowledge of functions is imperative to understanding the linear functions unit, students will continue to use and apply those concepts as they learn about linear functions. In the linear functions unit, students will use the slope-intercept form (y = mx + b) to write and graph linear equations from multiple representations, including:

• slope & y-intercept
• rate of change & initial value
• two points
• point slope
• table
• graph
• verbal descriptions / word problem

In addition, students will recognize that that a line with an undefined is NOT a function and therefore, cannot be expressed using y = mx + b.

The focus of this week will be analyzing situations (word problems) and representing them with linear functions. Students will also have to interpret the meaning of the slope and y-intercept in context.

Students need to be familiar with the following terms to improve their success as they progress through the unit:
 1) function
 2) linear
 3) nonlinear
 4) piecewise
 5) domain
 6) range
 7) input
 8) output
 9) slope
10) y-intercept
11) rate of change
12) initial value

The tentative agenda for this week is listed below. This agenda is subject to change based on students' needs:

Mon:
 - Writing linear functions to represent situations. Interpreting slope & y-intercept in context.

Tue:
 - Review linear functions quiz
 - Analyzing situations and representing them with equations and graphs of linear functions.


Wed:
 - Analyzing situations and representing them with equations and graphs of linear functions.

Thu:
 - Matching situations to graphs and equations

Fri:
 - Linear functions assessment

*Students in Advanced Math are moving at a slightly fast. They will complete the linear functions  unit in the early part of the week and spend the latter part of the week exploring piecewise functions. As such, their agenda is different.

Mon:
 - Review linear functions unit
 - Intro graphing piecewise functions

Tue:
 - Linear functions assessment

Wed:
 - Writing piecewise functions
 - Intro piecewise functions task

Thu:
 - Piecewise functions task (day 1)

Fri:
 - Piecewise functions task (day 2)