Transcript Week #2A – Section 3 GOAL: To review graphing

Algebra 2
Week #2A
Section 3
Who’s shining that light?
Week #2A – Section 2
Reflection Question
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Reflection Question for Today: What are the two different methods for solving
compound inequalities? Pull them apart and solve separately, or solve them
together by changing both ends as you go.________________________
Solve: 3 < 5 – x < 15
- 2 < - x < 10
2 > x > - 10
Week #2A Section 2
Homework Answers
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Classwork: On the Right Track
6 world records. (Flip the inequality sign for #4, 6, 9, 10, 11, and 12)
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Homework:
CAHSEE #1
1. 0 < x < 3
3. 10 ≤ x ≤ 16
5. x > 5
7. B
8. E
9. C
10. E
D
2. 2 ≤ x ≤ 3
4. 3/2 > x ≥ - 3
6. x < - 11
Week #2A – Section 3
GOAL: To review graphing inequalities.
(Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve
equations and inequalities involving absolute value.
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WARMUP QUESTIONS
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Evaluate.
1.
- 53 = _______
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2.
71 = ________
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3.
(- 11)2 = ________
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4.
(- 3)3 = _______
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Simplify.
5.
4r2 + 9r - 5r2 + 3r = ______________
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6.
5(x – 2y) + 9(3 – y) = _________________
Week #2A – Section 3
GOAL: To review graphing inequalities.
(Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve
equations and inequalities involving absolute value.
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WARMUP QUESTIONS
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Evaluate.
1.
- 53 = - 125
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2.
71 = ________
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3.
(- 11)2 = ________
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4.
(- 3)3 = _______
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Simplify.
5.
4r2 + 9r - 5r2 + 3r = ______________
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6.
5(x – 2y) + 9(3 – y) = _________________
Week #2A – Section 3
GOAL: To review graphing inequalities.
(Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve
equations and inequalities involving absolute value.
•
WARMUP QUESTIONS
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Evaluate.
1.
- 53 = - 125
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2.
71 = 7
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3.
(- 11)2 = ________
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4.
(- 3)3 = _______
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Simplify.
5.
4r2 + 9r - 5r2 + 3r = ______________
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6.
5(x – 2y) + 9(3 – y) = _________________
Week #2A – Section 3
GOAL: To review graphing inequalities.
(Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve
equations and inequalities involving absolute value.
•
WARMUP QUESTIONS
•
•
Evaluate.
1.
- 53 = - 125
•
2.
71 = 7
•
3.
(- 11)2 = 121
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4.
(- 3)3 = _______
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•
Simplify.
5.
4r2 + 9r - 5r2 + 3r = ______________
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6.
5(x – 2y) + 9(3 – y) = _________________
Week #2A – Section 3
GOAL: To review graphing inequalities.
(Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve
equations and inequalities involving absolute value.
•
WARMUP QUESTIONS
•
•
Evaluate.
1.
- 53 = - 125
•
2.
71 = 7
•
3.
(- 11)2 = 121
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4.
(- 3)3 = - 27
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•
Simplify.
5.
4r2 + 9r - 5r2 + 3r = ______________
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6.
5(x – 2y) + 9(3 – y) = _________________
Week #2A – Section 3
GOAL: To review graphing inequalities.
(Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve
equations and inequalities involving absolute value.
•
WARMUP QUESTIONS
•
•
Evaluate.
1.
- 53 = - 125
•
2.
71 = 7
•
3.
(- 11)2 = 121
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4.
(- 3)3 = - 27
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•
Simplify.
5.
4r2 + 9r - 5r2 + 3r = - r2 + 12r
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6.
5(x – 2y) + 9(3 – y) = _________________
Week #2A – Section 3
GOAL: To review graphing inequalities.
(Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve
equations and inequalities involving absolute value.
•
WARMUP QUESTIONS
•
•
Evaluate.
1.
- 53 = - 125
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2.
71 = 7
•
3.
(- 11)2 = 121
•
4.
(- 3)3 = - 27
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•
Simplify.
5.
4r2 + 9r - 5r2 + 3r = - r2 + 12r
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6.
5(x – 2y) + 9(3 – y) = 5x – 19y + 27
Week #2A – Section 3
GOAL: To review graphing inequalities.
(Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve
equations and inequalities involving absolute value.
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7.
WARMUP QUESTIONS
The all time leading scorer in NBA history is still Kareem Abdul-Jabbar
with 38,387 points. The tenth player on the list is John Havlicek with
26, 395 points. Write the inequality that shows the range of points
scored by the top ten players.
Week #2A – Section 3
GOAL: To review graphing inequalities.
(Preliminary Review) CA ALGEBRA 2 STANDARD 1.0: To be able to solve
equations and inequalities involving absolute value.
•
•
•
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7.
WARMUP QUESTIONS
The all time leading scorer in NBA history is still Kareem Abdul-Jabbar
with 38,387 points. The tenth player on the list is John Havlicek with
26, 395 points. Write the inequality that shows the range of points
scored by the top ten players.
26,395 ≤ x ≤ 38,387
Still the champ.
Week #2A Section #3 Notes
The Questions
Graphing Inequalities
1. HOW do you graph an equation or an inequality with only ONE
variable?
On a number line. You need two variables (x and y) to graph
on a coordinate plane.
2. WHAT is the difference between equation and inequality graphs?
3. WHAT is the difference between open and closed circles?
Week #2A Section #3 Notes
The Questions
Graphing Inequalities
1. HOW do you graph an equation or an inequality with only ONE
variable?
On a number line. You need two variables (x and y) to graph
on a coordinate plane.
2. WHAT is the difference between equation and inequality graphs?
Equation graph is one dot.
Inequality graph is part of a number line.
3. WHAT is the difference between open and closed circles?
Week #2A Section #3 Notes
The Questions
Graphing Inequalities
1. HOW do you graph an equation or an inequality with only ONE
variable?
On a number line. You need two variables (x and y) to graph
on a coordinate plane.
2. WHAT is the difference between equation and inequality graphs?
Equation graph is one dot.
Inequality graph is part of a number line.
3. WHAT is the difference between open and closed circles?
Open is for < and >.
Closed is for ≤ and ≥.
Week #2A Section #3 Notes
The Questions
Graphing Inequalities
4. FOR THIS CLASS, how many numbers do you need to show on the
graph?
Only zero and the answer numbers.
EXAMPLE: Graph x > 3
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0
Graph x ≤ 2
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0
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3
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2
Week #2A Section #3 Notes
The Questions
Graphing Inequalities
5. HOW do you graph an AND compound inequality?
In between two numbers.
EXAMPLE: Graph – 1 < x < 3
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-1
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3
Week #2A Section #3 Notes
The Questions
Graphing Inequalities
6. HOW do you graph an OR compound inequality?
On the outside of two numbers.
EXAMPLE: Graph – 1 > x OR x > 3
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Week #2A Section #3 Notes
The Questions
REAL LIFE:
Graphing Inequalities
The highest temperature recorded at Death Valley was 134°F and the
lowest was 15°F. Show the range on the number line below. Could it
ever snow in Death Valley?
Death Valley, California
Week #2A Section #3 Notes
The Questions
Graphing Inequalities
REAL LIFE:
The highest temperature recorded at Death Valley was 134°F and the
lowest was 15°F. Show the range on the number line below. Could it
ever snow in Death Valley?
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0
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15
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134
Death Valley with snow
Week #2A Section #3 Notes
The Questions
Graphing Inequalities
REAL LIFE:
The highest temperature recorded at Death Valley was 134°F and the
lowest was 15°F. Show the range on the number line below. Could it
ever snow in Death Valley?
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0
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15
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134
Yes, it can snow! Freezing is 32°F, and it gets colder than that!