Lesson 1.7: Multiple Representations of Linear Patterns These slides correlate to my handout for 1.7. There is no slide for #1, since #1 is intended to be worked by students, not presented by the teacher (students can present their solutions at the document camera or whiteboard). #2 is intended to be presented by the teacher in discussion with the students. #3 is for students to practice (the slide is just to display the answer after students have worked on it). #4, 5, and 6 are also for students to practice on their own, with the slide displaying the answers after they’ve had a chance to work. Of course, you can do whatever you’d like—that’s just how I use these materials.

y = 3x + 1 3 x y 1 +3 1 4 +3 2 7 +3 3 10 +2 +6 5 16 2). EXAMPLE: One-time amount: 1 y 3 • 0 + 1 20 + 1 = 1 Start at (0,1) 15 Repeated amount: +6 x y 1 10 +3 +2 1 4 +3 +3 2 7 5 +3 +3 3 10 +2 +6 +3 5 16 © Kevin Hall, 2007 +1 1 2 3 4 5 6 7 8 9 10 x

y = 2 + 4x 4 x y 2 +4 1 6 +4 2 10 +4 3 14 +3 +12 6 26 3). PRACTICE: One-time amount: 2 y 2 + 4 • 0 2 + = 2 20 +12 Start at (0,2) 15 +3 Repeated amount: x y +4 2 10 +4 1 6 +4 +4 2 10 5 +4 3 14 +4 +3 +12 +1 © Kevin Hall, 2007 6 26 1 2 3 4 5 6 7 8 9 10 x

y = 2 + 5x y = 11 – 4x y = 2x - 1 y = -1 + 2x x y 11 -4 1 7 -4 2 3 -4 4). Please graph: 5). Please make a table: 6). Please write the equation for this graph: y = 2 + 5x y = 11 – 4x y = 2x - 1 y = -1 + 2x x y 11 +5 -4 1 7 -4 2 3 +1 -4 3 -1 +2 +1 Start at (0,2) Start at (0,-1) Rise 5, Run 1 Rise 2, Run 1