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Check 12-2 HW

Check 12-2 HW. Graphing Translation. 12-3. Course 1. 6 th Grade Math HOMEWORK. Page 629 #14-16. Tables and Functions. 12-1. Course 1. Our Learning Goal Students will understand functions by creating tables and graphing translations. Tables and Functions. 12-1. Course 1.

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Check 12-2 HW

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  1. Check 12-2 HW

  2. Graphing Translation 12-3 Course 1 6th Grade Math HOMEWORK Page 629 #14-16

  3. Tables and Functions 12-1 Course 1 Our Learning GoalStudents will understand functions by creating tables and graphing translations.

  4. Tables and Functions 12-1 Course 1 Students will understand functions by creating tables and graphing translations. • Learn to use data in a table to write an equation for a function and to use the equation to find a missing value. • Learn to represent linear functions using ordered pairs and graphs. • Learn to use translations to change the positions of figures on a coordinate plane. • Learn to use reflections to change the positions of figures on a coordinate plane. • Learn to use rotations to change positions of figures on a coordinate plane. • Learn to visualize and show the results of stretching or shrinking a figure.

  5. Graphing Translation 12-3 Course 1 Today’s Learning Goal Assignment Learn to use translations to change the positions of figures on a coordinate plane.

  6. 12-3 Graphing Translations Course 1 Warm Up Problem of the Day Lesson Presentation

  7. Graphing Translation 12-3 Course 1 Warm Up 1.Use the given x-values to write solutions of the following equation as ordered pairs. y = 6x – 2 for x = 0, 1, 2, 3 2. Determine whether (3, –13) is a solution to the equation y = –4x – 1. (0, –2), (1, 4), (2, 10), (3, 16) yes

  8. Graphing Translation 12-3 Course 1 Problem of the Day Samantha’s house is 3 blocks east and 5 blocks south of Tyra. If Tyra walks straight south and then straight east to Samantha’s house, does she walk more blocks east or more blocks south? How many more? south; 2 blocks

  9. Graphing Translation 12-3 Course 1 A translation is a movement of a figure along a straight line. You can translate a figure on a coordinate plane by sliding it horizontally, vertically, or diagonally.

  10. Graphing Translation 12-3 Course 1 Additional Example 1: Translating Figures on a Coordinate Plane Give the coordinates of the vertices of the figure after the given translation. Translate triangle DEF 4 units left and 3 units up. y 6 D 5 4 3 E 2 1 x -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 -2 -3 F -4 -5 -6

  11. Graphing Translation 12-3 To move the triangle 4 units left, subtract 4 from each of the x-coordinates. To move the triangle 3 units up, add 3 to each of the y-coordinates. Course 1 Additional Example 1 Continued DEF D’E’F’ D(1, 4) D’(1 – 4, 4 + 3) D’(–3, 7) E(4, 2) E’(4 – 4, 2 + 3) E’(0, 5) F(–3, –3) F’(-3 – 4, –3 + 3) F’(–7, 0)

  12. Graphing Translation 12-3 Course 1 Additional Example 1 Continued y D’ 6 E’ D 5 4 3 E 2 x 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 F’ -1 -2 -3 F -4 -5 -6

  13. Graphing Translation 12-3 Course 1 Try This: Example 1 Give the coordinates of the vertices of the figure after the given translation. Translate triangle GHJ 3 units left and 3 units up. y 6 G 5 H 4 3 2 1 x -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 J -2 -3 -4 -5 -6

  14. Graphing Translation 12-3 To move the triangle 3 units left, subtract 3 from each of the x-coordinates. To move the triangle 3 units up, add 3 to each of the y-coordinates. Course 1 Try This: Example 1 GHJ G’H’J’ G(2, 4) G’(2 – 3, 4 + 3) G’(–1, 7) H(4, 4) H’(4 – 3, 4 + 3) H’(1, 7) J(–3, –2) J’(–3 – 3, –2 + 3) J’(–6, 1)

  15. Graphing Translation 12-3 Course 1 Try This: Example 1 Continued y G’ H’ 6 G 5 H 4 3 J’ 2 x 1 x -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 J -2 -3 -4 -5 -6

  16. Graphing Translation 12-3 Course 1 Additional Example 2: Music Application Members of a marching band begin in a trapezoid formation represented by trapezoid KLMN. Then they move 4 steps right and 5 steps down. Give the coordinates of the vertices of the trapezoid after such a translation. y 6 5 4 3 K 2 L x 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -1 -2 -3 M N -4 -5 -6 -7 -8

  17. Graphing Translation 12-3 To move 4 steps right, add 4 to each of the x-coordinates. To move 5 steps down, subtract 5 from each of the y-coordinates. Course 1 Additional Example 2 Continued KLMN K’L’M’N’ K(–2, 1) K’(–2 + 4, 1 – 5) K’(2, –4) L(1, 1) L’(1 + 4, 1 – 5) L’(5, –4) M(3, –3) M’(3 + 4, –3 – 5) M’(7, –8) N(–4, –3) M’(–4 + 4, –3 – 5) N’(0, –8)

  18. Graphing Translation 12-3 K’ L’ M’ N’ Course 1 Additional Example 2 Continued y 6 5 4 3 K 2 L x x 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 -1 -2 -3 M N -4 -5 -6 -7 -8

  19. Graphing Translation 12-3 Course 1 Try This: Example 2 Members of a flag team begin in a trapezoid formation represented by trapezoid KLMN. Then they move 3 steps right and 2 steps down. Give the coordinates of the vertices of the trapezoid after such a translation. y 6 5 L K 4 3 2 x 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 N M -2 -3 -4 -5 -6

  20. Graphing Translation 12-3 To move 3 steps right, add 3 to each of the x-coordinates. To move 2 steps down, subtract 2 from each of the y-coordinates. Course 1 Try This: Example 2 KLMN K’L’M’N’ K(–1, 3) K’(–1 + 3, 3 – 2) K’(2, 1) L(1, 3) L’(1 + 3, 3 – 2) L’(4, 1) M(3, –1) M’(3 + 3, –1 – 2) M’(6, –3) N(–3, –1) M’(-3 + 3, –1 – 2) N’(0, –3)

  21. Graphing Translation 12-3 L’ K’ N’ M’ Course 1 Try This: Example 2 Continued y 6 5 L K 4 3 2 x 1 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 -1 N M -2 -3 -4 -5 -6

  22. Graphing Translation 12-3 Course 1 Insert Lesson Title Here Lesson Quiz Give the coordinates of the vertices of triangle ABC, with vertices A(-5, -4), B(-3, 2), and C(1, -3), after the given translations. 1. Translate triangle ABC 3 units up and 2 units right. 2. Translate triangle ABC 5 units down and 3 units left. 3. Translate triangle ABC 2 units down and 4 units right. A’(-3, -1), B’(-1, 5), and C’(3,0) A’(-8, -9), B’(-6, -3), and C’(-2,-8) A’(-1, -6), B’(1, 0), and C’(5,-5)

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