Lesson:

• Hand out this coordinate graph paper (print double-sided).

• Project the coordinate graph on the board and plot a right triangle with points A (6,6), B (6,12), and C (10,6). Have the students plot the triangle on their graphs.

• Have them translate (slide) the triangle 16 units left and 2 units down. What are the new coordinates for each point? A (-10,4), B (-10, 10), C (-6, 4).

• Now draw a mirror line at y = -2 (in Quadrant 3). Have them reflect the new triangle across the mirror line. Make sure they understand that the new points should be exactly the same distance from the mirror line as the old ones. The new points should be A (-10,-8) B (-10,-14) C (-6,-8).

• Now have them turn the worksheet over to the unused graph. Draw a right triangle with points A (0,0) B (0, 10) and C (5, 0).

• Explain that we are going to rotate, or turn, the triangle. First, we must choose a direction.

• clockwise (medsols OR medurs)

• counter-clockwise (motsols OR moturs)

• Let them decide the direction, and then rotate it 90 degrees about point A (0,0).

• Explain that when we rotate about a point, the point will keep the same coordinates, but the other points will change.

• Rotate another 90 degrees, and then another. Students should see that a 360 degree rotation will land the shape in exactly the same position it started in.

• Draw a rectangle with points A (0,18) B (0,12) C (4,12) D (4,18). Have the students rotate it 90 degrees counter-clockwise (motsols) about point B. What are the new coordinates? answer: A (-6,12) B (the same) C (0,16) D (-6,16)
  

Support:

• Draw a circle on the board and label 90, 180, and 270 degrees on the circle so that students can visualize the degree of rotation.

• Students can also use the cut-out shapes from last week to practice physically rotating shapes on their graphs. Have them rotate the shapes on a point at the origin.

Extension:

• Page 253 - 255 in the textbook.

Conclusion:

• Review the names of the three transformations: translating, reflecting, and rotating.

Lesson:

• Hand out this coordinate graph paper (print double-sided).

• Project the coordinate graph on the board and plot a right triangle with points A (6,6), B (6,12), and C (10,6). Have the students plot the triangle on their graphs.

• Have them translate (slide) the triangle 16 units left and 2 units down. What are the new coordinates for each point? A (-10,4), B (-10, 10), C (-6, 4).

• Now draw a mirror line at y = -2 (in Quadrant 3). Have them reflect the new triangle across the mirror line. Make sure they understand that the new points should be exactly the same distance from the mirror line as the old ones. The new points should be A (-10,-8) B (-10,-14) C (-6,-8).

• Now have them turn the worksheet over to the unused graph. Draw a right triangle with points A (0,0) B (0, 10) and C (5, 0).

• Explain that we are going to rotate, or turn, the triangle. First, we must choose a direction.

• clockwise (medsols OR medurs)

• counter-clockwise (motsols OR moturs)

• Let them decide the direction, and then rotate it 90 degrees about point A (0,0).

• Explain that when we rotate about a point, the point will keep the same coordinates, but the other points will change.

• Rotate another 90 degrees, and then another. Students should see that a 360 degree rotation will land the shape in exactly the same position it started in.

• Draw a rectangle with points A (0,18) B (0,12) C (4,12) D (4,18). Have the students rotate it 90 degrees counter-clockwise (motsols) about point B. What are the new coordinates? answer: A (-6,12) B (the same) C (0,16) D (-6,16)
  

Support:

• Draw a circle on the board and label 90, 180, and 270 degrees on the circle so that students can visualize the degree of rotation.

• Students can also use the cut-out shapes from last week to practice physically rotating shapes on their graphs. Have them rotate the shapes on a point at the origin.

Extension:

• Page 253 - 255 in the textbook.

Conclusion:

• Review the names of the three transformations: translating, reflecting, and rotating.

Lesson:

• Hand out this coordinate graph paper (print double-sided).

• Project the coordinate graph on the board and plot a right triangle with points A (6,6), B (6,12), and C (10,6). Have the students plot the triangle on their graphs.

• Have them translate (slide) the triangle 16 units left and 2 units down. What are the new coordinates for each point? A (-10,4), B (-10, 10), C (-6, 4).

• Now draw a mirror line at y = -2 (in Quadrant 3). Have them reflect the new triangle across the mirror line. Make sure they understand that the new points should be exactly the same distance from the mirror line as the old ones. The new points should be A (-10,-8) B (-10,-14) C (-6,-8).

• Now have them turn the worksheet over to the unused graph. Draw a right triangle with points A (0,0) B (0, 10) and C (5, 0).

• Explain that we are going to rotate, or turn, the triangle. First, we must choose a direction.

• clockwise (medsols OR medurs)

• counter-clockwise (motsols OR moturs)

• Let them decide the direction, and then rotate it 90 degrees about point A (0,0).

• Explain that when we rotate about a point, the point will keep the same coordinates, but the other points will change.

• Rotate another 90 degrees, and then another. Students should see that a 360 degree rotation will land the shape in exactly the same position it started in.

• Draw a rectangle with points A (0,18) B (0,12) C (4,12) D (4,18). Have the students rotate it 90 degrees counter-clockwise (motsols) about point B. What are the new coordinates? answer: A (-6,12) B (the same) C (0,16) D (-6,16)
  

Support:

• Draw a circle on the board and label 90, 180, and 270 degrees on the circle so that students can visualize the degree of rotation.

• Students can also use the cut-out shapes from last week to practice physically rotating shapes on their graphs. Have them rotate the shapes on a point at the origin.

Extension:

• Page 253 - 255 in the textbook.

Conclusion:

• Review the names of the three transformations: translating, reflecting, and rotating.