1. On Desk: Pencil Calculator Math Journal Learning Log Labsheet 1.3
Math CC7/8 – Be Prepared
On Desk:
Pencil
Calculator
Math Journal
Learning Log
Labsheet 1.3
Learning Log:
HW: p. 18, #6, 8, 24
Parent Signatures?
MSA Learning Check #1

2. Tasks for Today Warm Up Lesson 1.3 Learning Check – Inv. 1 MSA
Begin HW ?

3. Warm Up
Look at your HW from Tuesday night - #3a-f
Do p. 17, #3 g-j

4. Warm Up 1. Which table(s) represent linear relationships? Table 2 & 3
2. Write an equation for a table that represents a linear relationship.
y = 10x or y = -2x + 10
3. Which table(s) if any, represents a proportional relationship? Explain.
Table 2 is a proportional relationship because it starts at (0, 0) and has a constant rate of change: 10.

6. Labsheet 1.3

7. What is the starting point for each student? This is also called the
Independent
Variable
Distance = X
Dependent
Variable
$ = Y
What is the starting point for each student?
This is also called the
y-intercept.
What is the rate of change for each student?
This is also called the slope.

8. This is called the y-intercept.
What is the starting point for each student?
This is called the y-intercept.
What is the rate of change for each student?
This is called the slope.
What does the point (6,12) represent? Whose line is it on?
Whose line are these points on? (10,10) (6,8)

9. y = money earned in dollars x = distance walked in km
The coefficient (the number in front of the variable) represents the walking rate.
Leanne: y = 0x + 10
or y = 10
Gilberto: y = 2x
or y = 2x + 0
Alana: y = 0.50x + 5

10. Alana: as (x) increases by 1 km, (y) increases by $0.50
Gilberto: as (x) increases by 1 km, (y) increases by $2
Leanne: as (x) increases by 1 km, (y) has no change
Graph: show pattern on graph…
Equation: the pattern of change is the coefficient of x
Leanne: y = 0x Gilberto: y = 2x Alana: y = 0.50x + 5

11. The relationship between money and distance walked for…
Add to Journal:
In a table: as x increases by 1, y changes by a constant amount
In a graph: there is a straight line
In an equation: it follows the form of y = mx + b
The relationship between money and distance walked for…
Gilberto IS proportional!
It is NOT proportional for Leanne and Alana because sponsors donate an initial amount in addition to money donated per kilometer. This makes the ratio of money donated to kilometers walked not a constant.

12. Alana: $ (8) = $9
Gilberto: $2 x 8km = $16
Leanne: $10 per sponsor no matter how far she walks
Alana: $ (?) = $10, so 0.5 x 10 km = 5
Gilberto: $2 x ? km = $10, so 10/2 = 5 km
Leanne: Can’t determine!

13. Alana: y = 0.50x + 5 (12, 11) lies on Alana’s graph.
If Alana walks 12km, each sponsor donates $11.
When her distance is zero, she already has $5
(0, 5) it is the starting point, or y-intercept!
5 is the term added to 0.5x
Alana: y = 0.50x + 5

14. Constant rate of change = $2 Amount subtracted for each t-shirt
km walked
Y = 2x – $4.75
Amount of $ Gilberto raises from each sponsor after he has paid for the T-shirt.
Constant rate of change = $2
Amount subtracted for each t-shirt

15. This graph starts at (0, -4.75), the other was (0,0)
Both graphs have the same steepness (slope).
For every value of x, the y-coordinate of a point on this graph is exactly 4.75 less than the y-coordinate on the other graph.
Yes, it is linear. There is a constant rate of change, and it is a straight line.

16. Learning Check
Complete LC Inv. 1 MSA