The House That Math Built

Maxine Edwards and Mary Teal
The Center for Advancement of Teaching





The House That Math Built
Lesson Plan
Algebra 1 Level


Objective: The student will be able to manipulate the distance formula and calculate the scale factor between two given pictures.

Engage: Give students a copy of "The House That Math Built". Ask them to copy the drawing without lifting their pencil.

    Explore: Complete the activity of transferring the picture to the CFX-9850.

    Equipment
    2 Motion Detectors
    2 EA-100s
    CFX-9850G
    1 picture of " The House That Math Built"
    meter sticks - for measuring and pointing
    tape
    data communication cable

  1. Perform experiment as follows:
  2. Retrieve the data from the EA-100:
    c. Connect EA-100 to CFX-9850G using data communication cable.
    d. Turn on CFX-9850G and choose Run (1) from the menu.
    e. Press SHIFT VARS {PRGM}
    f. Press F6 (>) , then I/O {F4}
    g. Press Recu (F4) {Receive( }
    h. Press OPTN, List {F1}, List {F1} ,1, close Parenthesis { ) }
    i. Press SHIFT EXE { }
    j. Press Recu (F4) {Receive( }
    k. Press OPTN, List {F1}, List {F1} ,2, close Parenthesis { ) }
    l. Press EXE

  3. The data should now be listed in List 1 and List 2.

  4. . Go to the Main Menu and choose List (4)
    o. Cursor across the top of the screen, highlighting List 3
    p. Press OPTN , List {F1}, List {F1}, 1 , EXE This will copy the data in List 1 to List 3.
    q. Cursor across the top of the screen, highlighting List 4 r. Press OPTN , List {F1}, List {F1}, 2 , EXE This will copy the data in List 2 to List 4.

  5. Repeat Step 2- ONLY. This will enter the data from the second EA-100 to List 1 and List 2.

  6. For the next part of the procedure you will be operating in the STAT menu.
    s. After entering the STAT menu, you should find List 1 through List 4. Press GRAPH {F1}
    t t. Press SEL {F4}
    u. StatGraph 1 : DrawOn
    v. EXIT
    w. Press SET {F6}
    Graph Type: xyline
    Xlist : List 2
    Ylist : List 4
    Frequency : 1
    Mark Type :
    Graph Color: CHOICE
    f. EXIT
    g. GRPH 1 {F1}


Explain: Record the data points from either the tables (List 2, List 4) or the graph. Have the students identify the coordinates for each point A through E. Using the data gathered, have students use the distance formula to determine the lengths of each exterior segment .

Elaborate:Measure the same segments on the actual drawing in cm. After converting the graphed segment lengths to cm, determine the scale factor for the drawing.

Evaluate Give the students a drawing to be redrawn either using an increased or decreased scale factor. Note: An extra project could be to create a 3-D model of the scaled picture.

Developed by:
Maxine Edwards and Mary Teal
Butler High School Matthews, NC

additional help from:
Neal Farley
Independence High School
Charlotte, NC