1. 6.1 Relations Date 10/29/18 Pick up Review Packet from back table.
Copy down Essential Question.
Work on Warm Up.
Essential Question
How would you describe a relation?
Warm Up: Describe the pattern 1. 2. 3.

2. Fill in the chart and graph it.1 2 3 4 5
Order Pair (1,1) (2,2) (3,3) (4,4) (5,5)

3. Fill in the chart and graph it.2 3 4 5 6
Order Pair (1,2) (2,3) (3,4) (4,5) (5,6)

4. Fill in the chart and graph it.2 4 6 8 10
Order Pair (1,2) (2,4) (3,6) (4,8) (5,10)

5. Core Concept
A relation pairs inputs with outputs Example Picture Chart Graph
Input
Output
Input
Output
x= Input
y= Output
y= Output
x= Input

6. Each Arrow is one ordered Pair
Core Concept
Mapping Diagram
Each Arrow is one ordered Pair

8. Describe the pattern in the mapping diagram
Describe the pattern in the mapping diagram. Copy and complete the diagram.
add 4 16 20 24

9. Describe the pattern in the mapping diagram
Describe the pattern in the mapping diagram. Copy and complete the diagram.
add 6 20 26 32

10. List the ordered pairs shown in the mapping diagram. And Graph them.
Order pair:
(0,4)
(3,5)
(6,6)
(9,7)

11. List the ordered pairs shown in the mapping diagram. And Graph them.
Order pair:
(1,8)
(3,8)
(3,4)
(5,6)
(7,2)

12. How is a vending machine different than a gumball machine
6.1 Function Date: 10/30/18
1. Copy down the Essential Question (EQ). 2. Work on the Warm-up.
Essential Question
How is a vending machine different than a gumball machine
Warm Up:
1. Explain how a vending
machine work.
2. Explain how a gumball

13. A function “vending machine” You press A1, you get Doritos
A function “vending machine” You press A1, you get Doritos. You press A1 again , you get Doritos. You press D2, you get M&M.
Not a function “ gumball machine” You turn the nob, you get a blue gumball You turn the nob again, you now get a red gumball You turn the nob, you get a yellow gumball.

14. A1 Doritos A2 Lays A3 Twix A4 M&M A5 Starburst Nob Blue gumball
A function “vending machine”
Not a function “ gumball machine” A1
Doritos A2
Lays A3
Twix A4
M&M A5
Starburst
Nob
Blue gumball
Red Gumball
Yellow Gumball
Green Gumball

15. Core Concept
A function is a relationship between input and output. It is a function when there is exactly one output for each input. It is a function when there is exactly one y value for each x value.

16. Example of a function
For it to be a function, the domain is paired with exactly one in the range.

17. Determine if this relation is a function. Explain Answer
Not function
function
Not function

18. function not a function
Core Concept
Vertical line test: checks that each x value has exactly one y value.
If you draw a line straight down a x value, it should only pass exactly one y value.
function
not a function
Its not a function because, it cross the function multiple time.
Aka, the x value has multiple y values.

19. Determine whether the relation is a function Explain ( 2-3 sentences)
not a function
not a function
not a function
not a function

22. +2 +3 -3 4.2 Slope Date 11/01/18 Copy down Essential Question.
Work on Warm Up.
Essential Question
How do you find the slope?
Warm Up: Describe the pattern 1. 2. 3. +2 X 1 2 3 4 5 Y 6 8 10 +3 X 1 2 3 4 5 Y 8 11 14 17 -3 X 1 2 3 4 5 Y -3 -6 -9
-12
-15

23. ∆𝒙 𝒎𝒆𝒂𝒏 𝒕𝒉𝒆 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒕𝒉𝒆 𝑿 ∆𝒀 𝒎𝒆𝒂𝒏 𝒕𝒉𝒆 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒕𝒉𝒆 𝒀
Core Concept
∆𝒙 𝒎𝒆𝒂𝒏 𝒕𝒉𝒆 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒕𝒉𝒆 𝑿
∆𝒙=+1 X 1 2 3 4 5 Y 6 8 10
∆𝒀=+2
∆𝒀 𝒎𝒆𝒂𝒏 𝒕𝒉𝒆 𝒄𝒉𝒂𝒏𝒈𝒆 𝒊𝒏 𝒕𝒉𝒆 𝒀

24. ∆𝒙=+1 ∆𝒀=+3 ∆𝒙=+1 ∆𝒀=−𝟑 Find the ∆𝑦 and ∆𝑥 2. 3. X 1 2 3 4 5 Y 8 11 1417
∆𝒀=+3
∆𝒙=+1 X 1 2 3 4 5 Y -3 -6 -9
-12
-15
∆𝒀=−𝟑

25. Find the ∆𝑦 and ∆𝑥
1. (1,2) (2,4) (3,6) (4,8) (5,10) 2. (1,5) (2,8) (3,11) (4,14) (5,17) 3. (1, -3) (2,-6) (3, -9) (4, -12) (5, -15)

26. These 3 are the same thingX 1 2 3 4 5 Y 6 8 10
Chart Format
Order pair Format
(1,2) (2,4) (3,6) (4,8) (5,10)
Graph Format

27. slope =
∆𝒀=+2
∆𝒙=+1
∆𝒙=+1
∆𝒀=+2

28. Core Concept
Slope: The change in the y divide by the change in the x. Slope: Divide the change in height by the change in the horizontal

29. Find the ∆𝑦 and ∆𝑥 then the Slope
∆𝒙=+1
8. 9.
m= 𝟐 𝟏
∆𝒀=+2
∆𝒙=+4
m= −𝟏 𝟒
∆𝒀=−1

30. Find the ∆𝑦 and ∆𝑥 then the Slope
∆𝒙=+1
m= 𝟕 𝟏
∆𝒀=+7
∆𝒙=+1
∆𝒀=−𝟏𝟓
m= −𝟏𝟓 𝟏

31. Core Concept Positive Slope: the line rise from left to right.
Negative Slope: the line fall from left to right.

32. Find the slope

33. Find the slope of the line

34. 4.2 Y-intercept Date 11/02/18 Copy down Essential Question.
Work on Warm Up.
Essential Question
How do you find y-intercept
Warm Up: Fill in the missing value using the pattern 1. 2. 3. X -2 -1 1 2 3 4 5 Y 6 8 10 X -2 -1 1 2 3 4 5 Y 8 11 14 17 X -2 -1 1 2 3 4 5 Y -3 -6 -9
-12
-15

35. Apply the pattern backward
∆𝒙=+1 X -2 -1 1 2 3 4 5 Y 6 8 10 -4 -2
∆𝒀=+2

36. What is special about these value?1. 2. 3. X -2 -1 1 2 3 4 5 Y 6 8 10 -4 -2 X -2 -1 1 2 3 4 5 Y 8 11 14 17 -4 -1 2 X -2 -1 1 2 3 4 5 Y -3 -6 -9
-12
-15 6 3

37. What is special about these values?

38. Core concept
Y-intercept = the value of y when the x=0 for a function.
Y-intercept= the point where a line or a curve crosses the y-axis of a graph
b=1

39. Find the y-intercept
b=2
b=3
b=-2
b=0

40. Find the y-intercept
b=5
b=16
b=-10
b=-6.5

41. Find the y-intercept
b=2
b=8
b=4
b=3

42. Find the y-intercept
b=-0.5
b=0.5
b=-0.5
b=2

43. Find the slope
m= 𝟏 𝟐
m= −𝟏 𝟒
m= 𝟐 𝟏
m= −𝟒 𝟑

44. Revisit of Core Concept
Slope: The change in the y divide by the change in the x.
𝒚 𝟐 − 𝒚 𝟏 m=
𝒙 𝟐 − 𝒙 𝟏

45. Find the slope 𝑚= 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1 𝑚= 3−2 3−0 𝑚= 1 3
1 𝑥 1 =0 𝑦 1 =2 𝑥 2 =3 𝑦 2 =3
𝑚= 𝑦 2 − 𝑦 1 𝑥 2 − 𝑥 1
𝑚= 3−2 3−0
𝑚= 1 3

46. Find the slope
m= −𝟔 −𝟐
= 𝟑 𝟏
m= 𝟓 𝟏
m= −𝟑 𝟏
m= 𝟑 𝟐

47. Find the Slope
m= 𝟒 𝟑
m= 𝟒 −𝟑
m= 𝟐 −𝟓
m= −𝟑 𝟖

48. Find the y-intercept
m= 𝟏 𝟒
m= 𝟒 𝟑
m= −𝟐 𝟒
no slope