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- 8.F.B.4Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
- 8.F.B.5Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

8.F.B.4

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

Writing Linear Equations (Day 1 of 2)

Algebra I

» Unit:

Linear & Absolute Value Functions

Big Idea:Students will analyze the different components of slope intercept form, and the purpose of each component in the entire equation.

The Most Annoying Sound on Earth

8th Grade Math

» Unit:

Scale of the Universe: Making Sense of Numbers

Big Idea:Sounds are often measured on a logarithmic decibel scale and are a perfect context for an investigation into exponents and scientific notation

Slope Intercept Scenarios

8th Grade Math

» Unit:

Relationships between Quantities/Reasoning with Equations

Big Idea:Real world situations like cell phone plan situations, savings accounts, or car rental scenarios can be modeled with linear equations in order to make predictions.

Graphing Linear Functions Using Given Information

Algebra I

» Unit:

Graphing Linear Functions

Big Idea:Students calculate slope and y-intercept before graphing a linear function on a coordinate plane.

What is a Function?

Algebra I

» Unit:

Linear & Absolute Value Functions

Big Idea:Students will identify whether a relation is a function by examining its inputs and outputs or with the vertical line test.

Are you smarter review

8th Grade Math

» Unit:

INTERPRETING AND COMPARING LINEAR FUNCTIONS

Big Idea:Are you smarter than an 8th grader? Based on the popular TV series, it's kids vs. a teacher (it could be the music teacher, the English teacher, whomever) in a battle over prowess in 8th grade mathematics.

Assessment #9 - Linear Functions Unit Assessment

8th Grade Math

» Unit:

INTERPRETING AND COMPARING LINEAR FUNCTIONS

Big Idea:Test time!

Construct functions to model linear relationships I

8th Grade Math

» Unit:

INTERPRETING AND COMPARING LINEAR FUNCTIONS

Big Idea:Math is life! Over the course of 4 days, students construct linear functions to model real-life situations... ordering T-shirts, taking cabs, visiting carnivals, and many other contexts.

Construct functions to model linear relationships II

8th Grade Math

» Unit:

INTERPRETING AND COMPARING LINEAR FUNCTIONS

Big Idea:What if the problem doesn't tell you the initial value? Can you still construct a function that models a linear relationship?

Construct functions III

8th Grade Math

» Unit:

INTERPRETING AND COMPARING LINEAR FUNCTIONS

Big Idea:Push kids to really interpret the meaning of slope and initial value in real-life contexts. This is tricky stuff, so kids need lots of practice.

Construct functions IV

8th Grade Math

» Unit:

INTERPRETING AND COMPARING LINEAR FUNCTIONS

Big Idea:The trickiest day of constructing functions - kids have to see data in a problem as points on a line. Requires some very high-order thinking!

The Tablet Wars: Comparing Linear Functions in Different Representations

Algebra I

» Unit:

Everything is Relative: Linear Functions

Big Idea:Students make the connections between different representations of linear functions to analyze profit trends for different companies selling tablets!

Day Four & Five

8th Grade Math

» Unit:

Welcome Back!

Big Idea:To help guide instruction for the year and establish a baseline for quarterly benchmark assessments, students will take a benchmark test aligned to the CCSS.

Understand Time-Distance Graphs

8th Grade Math

» Unit:

INTRODUCTION TO FUNCTIONS

Big Idea:Catch students making a common mistake as they interpret time-distance graphs... who wins the race?

The Basics of Coordinate Geometry

Geometry

» Unit:

Coordinate Geometry

Big Idea:Moving Geometry onto the coordinate plane. Let's investigate midpoints, slope, and distance!

8.F.B.4

Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

8.F.B.5

Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.