Warm Up- Thursday 9/10
Complete at least 3 problems
1. 5 𝑥 + 3 − 2(2𝑥 − 4)
2. 4 2𝑥 + 10 + 3𝑥 = 38𝑥 + 3𝑥
3. What is the perimeter of a rectangle that has a
length of (2x + 3) and a width of (4x)?
4. If the perimeter of the rectangle above is 52
inches, what are the dimensions, in inches, of
the rectangle?
5. Solve: 4x2 – 1 = 99
Make sure YOU:
1. Signed in
2. Grab the handouts
1
Warm-Up 9-11-14
Complete 3 of the 5!
Answer the following
questions:
1. What is the slope of graph 1?
2. What is the slope of graph 2?
3. Simplify 4x + 5y – 2 + 3y + 8
2
4. Solve for x: 𝑥 + 3 = 13
3
5. What is the difference
between a function and a
relation?
Graph 1
Graph 2
2
Reminder
• Keep your binder in order
• Make sure you are copying down all examples, practice
problems, and working hard
• Binder Quiz Next Week
3
Past Due
• Rough Draft Part 1
• Worksheets 1 – 9 (I will be calling parents if
you do not turn this in today!)
4
Rough Draft – Speed Date (5 mins)
• Title
• Labeled x-axis and y-axis
• Name
• Numbers (use a ruler)
• 5 interval
• 3 constant (straight lines)
• Use a ruler
• 7 completed sentences
• Story MATCHES graph
5
What’s Due Next Thursday, September 17th?
• Homework Worksheet #2 which you will get Monday.
• Now you can look forward to MONDAY!
• Rough draft of project part 2
• Slope
• Domain/Range
6
Tutoring Next Week
Morning
(8:05 – 8:40 AM)
Afternoon
(4:15 – 4:45 PM)
Monday
Tuesday
Wednesday
Thursday
Friday
7
Goal
SWBAT calculate slope from a table or a
graph in an applied or non-applied
situation.
Our Goals This Week:
Exit ticket
HW turned in YESTERDAY
Project rough draft
Warm-U
Why This Matters
75%
90%
80%
100%
Rate of change is essential to math.
Calculus is basically the study of rate of
change.
8
Mr. Slope
–
+
U ndefined
0
9
Alpha Kappa Alpha
vs
Delta Sigma Theta
10
Key terms
Rate of change of a line
∆𝒚
∆𝒙
=
𝟏𝟎
𝟐
∆𝒚
∆𝒙
=
𝒚𝟐 −𝒚𝟏
𝒙𝟐 −𝒙𝟏
=𝟓
11
Refresher – Rate of Change in the Real World
Copy it down as we are working on it
12
Refresher – Rate of Change in the Real World
2
3
5
2
As time increases by 1 unit, distance increases by 2
units.
As time increases by 1 unit, distance increases by 1
∆𝑦 3
3 ∆𝑥 = 3 = 1
unit.
As time increases by 1 unit, distance decreases by 2
∆𝑦 −10
-10 ∆𝑥 = 5 = −2 units.
4
∆𝑦
∆𝑥
=2=2
4
−5
∆𝑦
∆𝑥
=
Copy it down as we are working on it
−5
2
= −2.5
As time increases by 1 unit, distance decreases by
2.5 units.
13
Refresher – Rate of Change in the Real World
2
4
∆𝒚
∆𝒙
=𝟐=𝟐
𝟒
3
3
∆𝒚
∆𝒙
=𝟑=𝟏
5
-10
∆𝒚
∆𝒙
=
−𝟏𝟎
𝟓
2
−5
∆𝒚
∆𝒙
=
−𝟓
𝟐
𝟑
Copy it down as we are working on it
∆𝒚
∆𝒙
𝒎𝒊𝒍𝒆𝒔 (𝒚)
= 𝒉𝒐𝒖𝒓𝒔 (𝒙)
. 2 miles . per . 1 hour .
1 miles . per . 1 hour .
= −𝟐
– 10 miles . per 5 hour .
– 2 miles . per 1 hour .
= −𝟐. 𝟓
- 5 miles . per . 2 hour .
2.5 miles . per . 1 hour .
14
Write down
Change in Y
Change in X
Copy it down as we are working on it
∆𝒚
∆𝒙
rise
run
15
Example 1
16
Problem 2
17
Example 3
Copy it down as we are working on it
18
Problem 4
Complete this problem on your PAPER (30 seconds).
19
Problem 5
Complete this problem on your PAPER (30 seconds).
20
Problem 6
Complete this problem on your PAPER (30 seconds).
21
Independent Practice
Directions
• Work through at least 13 problems
• Silently and independently
22
DOL
Complete 3 of the 5!
1. What is the definition of
delta?
2
2. Solve for x: 𝑥 + 3 = 13
3
3. What is ∆𝑦 of H?
4. What is ∆𝑥 of K?
5. What is the rate of change
of G?
23