Author:
William Allred, Carrie Robledo
Subject:
Math 1
Material Type:
Activity/Lab
Level:
High School
Tags:
  • Linear Equations Angles Distance Slope
  • License:
    Creative Commons Attribution Non-Commercial Share Alike
    Language:
    English

    Education Standards

    Math I: Move the Cone: Creating Linear Equations

    Math I:  Move the Cone:  Creating Linear Equations

    Overview

    Students are given 5 random coordinate points and must create a path of linear equations to navigate the rover around each point. Teachers can have students calculate the slope, y-intercept, domain and range of the lines. Students will calculate the distance of each line and find the total distance the rover travelled. Students will then be challenged to minimize the distance the rover travelled. 
    Teachers can extend this to include angles and distance, where the students calculate the angle the rover should turn and then the distance it should drive to go around each point.

    Math I: Move the Cone: Creating Linear Equations

    Engineering Design Process

    Project Description

    Name of ProjectMove the Cone: Creating Linear Equations
    Subject AreaMath I
    Targeted StandardsNC.M1.A-CED.1 -  Create equations in one variable that represent linear relationships and use them to solve problems.NC.M1.F-LE.5 - Interpret the parameters a and b in  a linear function f(x)=ax+b
    Driving Question / Problem / ActivatorCan you create linear equations to navigate the rover around given coordinate points, while minimizing the distance the rover travels?
    Project SummaryStudents are given 5 random coordinate points and must create a path of linear equations to navigate the rover around each point. Teachers can have students calculate the slope, y-intercept, domain and range of the lines. Students will calculate the distance of each line and find the total distance the rover travelled. Students will then be challenged to minimize the distance the rover travelled. Teachers can extend this to include angles and distance, where the students calculate the angle the rover should turn and then the distance it should drive to go around each point.
    Estimated Time1 - 2 class periods
    Materials / Resources (including link to slideshow if available)Activity / Recording worksheetTi 84 Plus CETI Innovator Hub and RoverSkinny Dry erase markersLarge grid paper
    TagsLinear EquationsAnglesDistanceSlope

    Project Outline 

    AskStudents will create and write linear equations, with restricted domains, to create a path around scattered coordinate points
    ImagineStudents will draw their path on paper and identify their potential endpoints to use and estimate the distance the rover will travel.
    PlanStudents will then begin calculating the features of their equations, including slope, y-intercept, and domain.Or students will then calculate the angle the rover will need to turn and distance it will travel
    CreateStudents will make a list of the endpoints, calculate the key features of their lines and write their equations. Then begin programming the rover to draw the lines.
    ImproveStudents will be challenged to minimize the distance the rover travels to move through their points and end the path by moving the cone to the designated spot.
    Closure / Student ReflectionsStudents will reflect on how the key features are related to the endpoints of the lines, and how the distance is affected by changing the features of each line.
    Possible Modifications / ExtensionsTeachers could add restrictions to make the task more challenging, including requiring the students to include a pair of parallel or perpendicular lines.

    Evaluation (Pre/Post)  

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