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

iLoveMath.org

Khan Academy

Learner.org

Learn Zillion

- Construct linear functions from tables
- Construct linear functions from a graph
- Construct linear functions from a situation

Library.Thinkquest.org

Math.Fullerton.edu

Math.Montana.edu

NCTM Illuminations

- Walk the Plank Activity
- Changing Cost Per Minute
- Constant Cost per Minute
- How Did I Move?
- How Should I Move?
- Learning about Rate of Change in Linear Functions Using Interactive Graphs: Changing Cost per Minute
- Learning about Rate of Change in Linear Functions Using Interactive Graphs: Constant Cost per Minute
- Movement with Functions
- Printing Books
- Rise-Run Triangles
- Taking Its Toll

- Ratios and proportions: Rate of change
- Ratios and proportions: Constant rate of change
- Proportional relationships: Find the constant of variation: graphs
- Proportional relationships: Find the constant of variation: word problems
- Proportional relationships: Write an equation for a proportional relationship
- Proportional relationships: Proportional relationships: word problems
- Linear functions: Write a rule for a function table
- Linear functions: Linear function word problems
- Linear functions: Find the slope of a graph
- Linear functions: Find slope from two points

Science Net Links

SECC.SEDL.org

Shodor

Teach Engineering

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 |

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