8.F.4

8.F.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.

Internet Resources (Videos, Websites, etc.)

Dan Meyer

  1. 25 Billion Apps

iLoveMath.org

  1. Steepness of Slope (Weight Activity)

Khan Academy

Learner.org

  1. Linear Functions and Slope
  2. Proportional Reasoning

Learn Zillion

  1. Construct linear functions from tables
  2. Construct linear functions from a graph
  3. Construct linear functions from a situation

Library.Thinkquest.org

  1. Distance-Time Graphs

Math.Fullerton.edu

  1. Linear Equations

Math.Montana.edu

  1. Linear Models

NCTM Illuminations

  1. Walk the Plank Activity
  2. Changing Cost Per Minute
  3. Constant Cost per Minute
  4. How Did I Move?
  5. How Should I Move?
  6. Learning about Rate of Change in Linear Functions Using Interactive Graphs: Changing Cost per Minute
  7. Learning about Rate of Change in Linear Functions Using Interactive Graphs: Constant Cost per Minute
  8. Movement with Functions
  9. Printing Books
  10. Rise-Run Triangles
  11. Taking Its Toll

Online Practice from IXL

  1. Ratios and proportions: Rate of change
  2. Ratios and proportions: Constant rate of change
  3. Proportional relationships: Find the constant of variation: graphs
  4. Proportional relationships: Find the constant of variation: word problems
  5. Proportional relationships: Write an equation for a proportional relationship
  6. Proportional relationships: Proportional relationships: word problems
  7. Linear functions: Write a rule for a function table
  8. Linear functions: Linear function word problems
  9. Linear functions: Find the slope of a graph
  10. Linear functions: Find slope from two points

Science Net Links

  1. Exploring Magnetic Fields: Activity 2

SECC.SEDL.org

  1. Support Video for 8.F.4

Shodor

  1. Function Flyer
  2. Graphit
  3. Slope Slider
  4. Graphs and Functions

Teach Engineering

  1. More Complicated Functions: Introduction to Linear Functions
  2. Graphing the West Corridor Data

Texas Instruments

Math Nspired: Computing with Mathematical Formulas
Evaluate formulas for given values of a variable. Device: TI-Nspire(TM) CAS, TI-Nspire(TM)
Math Nspired: Dog Days or Dog Years
Students use ordered pairs, table of values, and a scatter plot to determine a function that represents real world data. Device: TI-Nspire(TM) CAS, TI-Nspire(TM)
Math Nspired: Equations from Unit Rates
This lesson involves finding a linear equation and confirming the equation represents a proportional relationship with numeric values in ordered pairs or in functions tables. Product: TI-Nspire(TM), TI-Nspire(TM) CAS
Math Nspired: Horizontal and Vertical Lines
Examine the vertical and horizontal changes when moving from one point to another on a line. Device: TI-Nspire(TM) CAS, TI-Nspire(TM)
Math Nspired: Linear Modeling
This lesson involves modeling relationship between variables related to the operational cost of airplanes.
Math Nspired: Lines of Fit
This lesson involves informally fitting a straight line for a given data set that represents mean verbal and mathematics scores on SAT in 2004 across all 50 states and Washington, D.C.
Math Nspired: Points on a Line
Develop an understanding of the slope of a line. Device: TI-Nspire(TM) CAS, TI-Nspire(TM)
Math Nspired: Proportionality in Tables, Graphs and Equations
Students will recognize and identify the characteristics of proportional and non-proportional relationships by analyzing a table, equation, and graph. Product: TI-Nspire(TM), TI-Nspire(TM) CAS
Math Nspired: Rate of Change
Interpret slope as a rate of change. Device: TI-Nspire(TM) CAS, TI-Nspire(TM)
Math Nspired: Real Graphs
This lesson involves identifying patterns of data from given lists.
Math Nspired: Recipe: Rate of Change
Students look at unit rate in a real-world context. They will use ratios to create points, plot them, and determine the mathematical relationship for the plotted points. Then, they will predict other points based on the relationship determined. Product: TI-Nspire(TM), TI-Nspire(TM) CAS
Math Nspired: Toying with a Walk
This lesson involves collecting time data as a walker moves at a constant pace.
Math Nspired: Trains in Motion
Compare and contrast the motion of two objects and how it corresponds to distance as a function of time. Device: TI-Nspire(TM) CAS, TI-Nspire(TM)
Math Nspired: Understanding Slope
Make connections between the sign of the ratio of the vertical and horizontal change as they relate to the sign of the slope. Device: TI-Nspire(TM) CAS, TI-Nspire(TM)
Math Nspired: Using Tables to Solve Linear Equations
Solve one-step and two-step linear equations where a and b are real numbers. Device: TI-Nspire(TM) CAS, TI-Nspire(TM)
Math Nspired: Verbal to Visual: Sketching Graphs
This lesson involves sketching graphs based upon important features described verbally in a situation.
Math Nspired: What’s in a Line?
This lesson involves identifying linear functions.
Math Nspired: Words for Algebra
This lesson involves starting with the context of a word problem and then examining it from several different perspectives in an effort to build expressions and equations that model the problem. Product: TI-Nspire(TM), TI-Nspire(TM) CAS

YouTube

  1. Find the Rate of Change (Video)

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