2-1. TILE PATTERN INVESTIGATION: Pattern A. c. By how much is the pattern growing?

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1 CCA Chapter 2: Linear Relationships Name Team 2-1. TILE PATTERN INVESTIGATION: Pattern A Figure 0 Figure 1 Figure 2 Figure 3 Figure 4 c. By how much is the pattern growing? Color the new tiles in each figure. Where are the tiles being added? d. What does figure 100 look like? How many tiles does it have? e. Equation: 2-2. TILE PATTERN INVESTIGATION: Pattern B Figure 0 Figure 1 Figure 2 Figure 3 Figure 4 c. By how much is the pattern growing? Color the new tiles in each figure. Where are the tiles being added? d. What does figure 100 look like? How many tiles does it have? e. Equation:

2 2-3. TILE PATTERN INVESTIGATION: Pattern C: y = 3x + 1 Figure #: x # of Tiles: y b. By how many tiles is it growing? What is the starting value? c. Where in the table do you see growth? Where in the table do you see the starting value? d. Where in the equation do you see growth? Where in the equation do you see the starting value? TILE PATTERN INVESTIGATION: Pattern D Figure 0 Figure 1 Figure 2 Figure 3 Figure 4 b. Equation: c. x y d. e. f. Closure: Where can growth be found in table, graph, and equation?

3 2-11. Equation: Function? Explanation/Equation: a.) Number of tiles in Figure 0: Equation: Function? Explanation or f(x) Equation: b.) Number of tiles in Figure 0: Equation: Function? Explanation or f(x) Equation : c.) Number of tiles in Figure 0: Equation: Function? Explanation or f(x) Equation : Growth Factor: Explanation:

4 2-15. a.) y = b.) x = c.) Slope using slop triangle: d.) Slope using y and x: e.) Equation: a.) slope using A = slope using B = What do you notice? b) y: Explanation: b) y: What do you notice? y=0 x=0 Description: Description:

5 2-18. a.) b.) c.) Equation: Closure: b.) Direction? y: c.) Slope of A: Slope of B: Slope of C: Slope of D: d.) a.) Steepest? e.) Least steep?

6 2-26. a.) Steepest line? Which is steeper? B or C? b.) (Draw on diagram) c.) m = 6 m = 0 m = 2 m 2 3 m 1 5 m = -5 m m 3 d.) e.) Draw and label Lines A,B,C, and D on graph a.) Line A b.) Line B x = 4, y= -6 c.) Line C d.) Line D y = 3, x = 0

7 a.) slope A: slope B: slope C: b.) c.) (Draw on diagram) y: Closure: Multiple Representations for Linear Equations a.) x = y = b.) m = b = c.) m determines b determines

8 2-37. THE LINE FACTORY a. b. c. d. e. f. g. Write the equation for the lines with enough info. Line A Line E Line B Line F Line C Line G Line D

9 2-38. FINDING THE SLOPE OF A LINE WITHOUT GRAPHING a.) Explanation: c) (4, 15) and (2, 11) d) (28, 86) and (34, 83) e) b) Slope = SLOPE CHALLENGE Closure: What is m? What is b? In the equation In the graph In the table In the situation

10 2-46. SLOPE WALK (Done in calculator. Write down equations here.) WALK THE WALK Equation: Instructions: Closure: What does it look like on the graph to walk fast? Slow? Stand still? Walk toward the detector? Away from it?

11 2-53. THE BIG RACE- HEAT 1 a.) Equations: Leslie: Kristin: Evie: b.) After how many seconds did Leslie catch up to Evie? How far were they from the start? Confirm algebraically: Explain how to use graph: c.) Who won? Justify with equations: d.) Leslie: Kristin: Evie: e.) Kristin s speed:

12 2-54. THE BIG RACE- HEAT 2 a.) b.) c.) d.) a.) i. slope: a.) ii. slope: a.) iii. slope: y-intercept: y-intercept: y-intercept: Rate of change: Rate of change: Rate of change: b.) i. b.) ii. b.) iii.

13 2-56. TAKE A WALK Where the customer began: Times the customer changed direction or stopped: First Segment: Toward or Away? Rate of Change: Equation: Second Segment: Toward or Away? Rate of Change: Equation: Third Segment: Toward or Away? Rate of Change: Equation: Domain: Domain: Domain: a.) b.) Closure: What does a positive slope mean? A negative slope? A zero slope? Why does a vertical line have an undefined slope?

14 2-68. THE BIG RACE- FINALS Leslie: Elizabeth: A: B: C: D: Who will win? a.) Winner: b.) Rider D: Last Place: Elizabeth: c.)

15 2-75, 2-76 & 2-77 DOWN ON THE FARM a.) What is the chick s rate of growth? b.) Describe the line. Do you know any points? Does the line point upward or downward? How steep is it? c.) Graph: x = days since birth y = weight in grams d.) What is the y-intercept of the graph? e.) According to your graph/table, when will the chick weigh 140 grams? f.) Which method (graph or table) do you think is more accurate? Why?

16 2-78. FINDING AN EQUATION WITHOUT A TABLE OR GRAPH a. Don t forget your units! b. c. m= b= d.) Equation: e.) f.) a.) b.) Hint: 5 cm = m Closure: Multiple Representations of Linear Equations

17 2-87. a.) b.) c.) d.) e.) LINE FACTORY LOGO Do all calculations on the on next page. a. Logo: Equation 1: Equation 2: Equation 3: Equation 4: b. Domain 1: Range 1: Domain 2: Range 2: Domain 3: Range 3: Domain 4: Range 4:

18 Equation 1: Equation 2: Equation 3: Equation 4: Closure: Finding the equation of a line through two points.