Rigid Motions Lesson Plan Theresa Anderson
Objectives:
MA.700.10.75 Graph ordered pairs in a coordinate plane using no more than 4 ordered pairs of rational numbers (-20 to 20) * (1. C. 1b)
MA.700.20.65 Analyze a transformation (translation, reflection, rotation of 90° or 180°) on a coordinate plane (2. E. 1a)
MA.700.20.70 Identify and plot the result of one translation (horizontal or vertical), reflection (horizontal or vertical), or rotation (90 or 180 degrees) about a given point * (2. E. 1a)
Materials:
Geoboards
Painted Washers
Worksheets
Direct/Guided Instruction:
Review coordinates by asking the students to place washers on given coordinates and ask for the coordinates of a given point.
Plot ( 5, 4); ( -3, 5); ( 0, 2); ( 1, -4); ( 0, -3)
Ask students to place three washers on three coordinates and what polygon the three coordinates make if they were connected. Explain that if we “slide” the triangle to the right 4 places (units) it would be in a new location. State the original and the new coordinates for the triangle. This type of slide is called a Translation. Repeat with other polygons and slide to the left, right, up, or down and a combination of left/right and up/down. State original and coordinates of translated polygon.
[ Share Teacher Led Resources/ Interactive whiteboard website on Translations]
Ask students to place three washers on three coordinates and reflect it over the x- axis.
Repeat but Reflect over the y-axis. Repeat activity with other polygons and be sure to state the original and the new coordinates for the given polygon.
Explain that the final rigid motion is a Rotation. Be sure students understand clockwise & counterclockwise. Begin with a triangle and rotate it 900. After giving students coordinates for a new figure rotate 1800. Continue to state original coordinates as well as the new coordinates.
Independent Practice:
Students will complete practice worksheets using what they know about Transformations.
Assessment:
Students will show an understanding of Transformations by completing the worksheets with 80% or higher.
RIGID MOTIONS Name______
Translate ABC 5 units right. State the original and new coordinates.
A( -1,4) B( -1,1) C( -4,1)
Translate ABCD 6 units down. State translated coordinates.
A( 5,1) B( 5,4)
C( 1,4) D( 1,1)
Translate ABCD 5 units left and 3 units up.
Stated the translated coordinates.
A( 1,-2) B( 4,-2)
A B
C( 1,-4) D( 5,-3)
C D
Reflect GHI over the x-axis.
State the reflected coordinates.
Reflect WXYZ over the y-axis.
State the reflected coordinates.
W ( 7,-3) X ( 3, -3)
Y(3, -7) Z ( 7,-7)
Rotate EFGH 900 clockwise.
State the rotated coordinates.
G ( -8 -1)
H ( -3,-1)
I ( -7,-6)
J ( -3,-6
Rotate RGT 1800.
State the new rotated coordinates.
R( -10,-3)
S( -10, -7)
T ( -3,-7)
NAME______
RIGID MOTIONS
TRANSLATION SLIDE
Translate 5 RIGHT & 3 DOWN
Name the original & new coordinates
A A’
B B’
C C’
REFLECTION
FLIP
Reflect over Y axis
Name the original & new coordinates
A A’
B B’
C C’
D D’
ROATIONS- Turn a figure around a fixed point
Rotate 900
Clockwise
Rotate 900
Counterclockwise
Rotate 1800