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Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 1 October 18, 2019 Warm Up Sarah runs 5 feet every second. Write an equation to represent the distance, d, she runs over time, t. Then fill in the table. Equation: t d 0 5 45 12

Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 · 2019-10-18 · Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 1 October 18, 2019 Warm Up Sarah runs 5 feet every second

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Page 1: Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 · 2019-10-18 · Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 1 October 18, 2019 Warm Up Sarah runs 5 feet every second

Lesson 2 Jack and Jill Went Up the Hill Notes Day 2

1

October 18, 2019

Warm UpSarah runs 5 feet every second. Write an equation to represent the distance, d, she runs over time, t. Then fill in the table.Equation:

t d0

545

12

Page 2: Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 · 2019-10-18 · Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 1 October 18, 2019 Warm Up Sarah runs 5 feet every second

Lesson 2 Jack and Jill Went Up the Hill Notes Day 2

2

October 18, 2019

The slopes are the same.

The original line started at (0,0) and the new line starts at (0,10).

The new line is a non­proportional relationship because it does not go through the origin.

Page 3: Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 · 2019-10-18 · Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 1 October 18, 2019 Warm Up Sarah runs 5 feet every second

Lesson 2 Jack and Jill Went Up the Hill Notes Day 2

3

October 18, 2019

1010    or 11

14182022

y =    x + 10 The rate is the same, but the starting point is at 10 yards instead of 0 yards.

y = mx + b

43

13

43

Page 4: Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 · 2019-10-18 · Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 1 October 18, 2019 Warm Up Sarah runs 5 feet every second

Lesson 2 Jack and Jill Went Up the Hill Notes Day 2

4

October 18, 2019

This is a non­proportional relationship because the line does not touch the origin.

The slope is negative because the graph is decreasing when you read it from left to right.

Page 5: Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 · 2019-10-18 · Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 1 October 18, 2019 Warm Up Sarah runs 5 feet every second

Lesson 2 Jack and Jill Went Up the Hill Notes Day 2

5

October 18, 2019

The slope is the opposite of the slope walking to the bus stop. Also, they start 30 yards from home.

y =     x + 30      ­4 3

Page 6: Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 · 2019-10-18 · Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 1 October 18, 2019 Warm Up Sarah runs 5 feet every second

Lesson 2 Jack and Jill Went Up the Hill Notes Day 2

6

October 18, 2019

Non­proportional Proportionaly = 64x y =      x + 20       2

15

Page 7: Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 · 2019-10-18 · Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 1 October 18, 2019 Warm Up Sarah runs 5 feet every second

Lesson 2 Jack and Jill Went Up the Hill Notes Day 2

7

October 18, 2019

Non­proportional

y = 0x + 5y = 5

Slope = 0

y =      x + 30       9 7

Page 8: Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 · 2019-10-18 · Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 1 October 18, 2019 Warm Up Sarah runs 5 feet every second

Lesson 2 Jack and Jill Went Up the Hill Notes Day 2

8

October 18, 2019

Page 9: Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 · 2019-10-18 · Lesson 2 Jack and Jill Went Up the Hill Notes Day 2 1 October 18, 2019 Warm Up Sarah runs 5 feet every second

Lesson 2 Jack and Jill Went Up the Hill Notes Day 2

9

October 18, 2019