ds methods - amazon s3...computing your score pop quiz difficulty level question number student 1...
TRANSCRIPT
*** DS Methods ***
This file contains slides from each lesson of session 1.
The file includes lesson agendas, teaching points, MPrep-written
problems, and (where applicable) the full list of Official Guide (OG)
problem numbers for that problem type or content area.
The slides do not include the text of OG problems used in class
because teachers customize each lesson to fit class needs.
Data Sufficiency
Methods
The Quant Section
37 problems
75 minutes total
Problem Solving
20–22 problems
2 minutes per problem average
Data Sufficiency
15–17 problems
2 minutes per problem average
Quant Data Sufficiency Methods
1
What is Data Sufficiency?
Elimination Grid
Value vs. Yes / No
Prove Insufficient
Rephrasing
You’ll learn how to...
apply a consistent process to
all Data Sufficiency problems
prove insufficiency
test cases
Data Sufficiency Format
At a certain work conference, how many of the employees in attendance
were senior managers?
MPrep
(1) Of the employees who attended the conference, 80% were senior
managers.
(2) Of the employees who attended the conference, 64 were not senior
managers.
(A) Statement (1) ALONE is sufficient, but statement (2) is not sufficient
(B) Statement (2) ALONE is sufficient, but statement (1) is not sufficient
(C) BOTH statements TOGETHER are sufficient, but NEITHER
statement ALONE is sufficient
(D) EACH statement ALONE is sufficient
(E) Statements (1) and (2) TOGETHER are NOT sufficient
(A) Statement (1) ALONE is sufficient, but statement (2) is not sufficient
(B) Statement (2) ALONE is sufficient, but statement (1) is not sufficient
(C) BOTH statements TOGETHER are sufficient, but NEITHER
statement ALONE is sufficient
(D) EACH statement ALONE is sufficient
(E) Statements (1) and (2) TOGETHER are NOT sufficient
Know the Statements – Ask the Question
The statements are FACTS:
1. They ARE trying to help.
2. They do NOT lie.
3. They do NOT contradict each other.
At a certain work conference, how many of the employees in attendance
were senior managers?
(1) Of the employees who attended the conference, 80% were senior
managers.
(2) Of the employees who attended the conference, 64 were not senior
managers.
MPrep
Memorize the Answer Choices
(A) Statement (1) ALONE is sufficient, but statement (2) is not sufficient
(B) Statement (2) ALONE is sufficient, but statement (1) is not sufficient
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
(D) EACH statement ALONE is sufficient
(E) Statements (1) and (2) TOGETHER are NOT sufficient
What you'll see on the test screen:
What you'll see in class today:
A (1)
B (2)
C Together
D Either
E Not Enough
What you'll see in class starting next week: NOTHING!
Elimination Grid
AD BCE
Sufficient
AD BCE
Not Sufficient
BD ACE
Sufficient
BD ACE
Not Sufficient
Subject Start with Statement (1)
Subject Start with Statement (2)
Is the integer x between 20 and 26, inclusive?
(1) x is a multiple of 9
(2) x = 18
MPrep
A (1)
B (2)
C Together
D Either
E Not Enough
(2) x = 18 (1) x is a multiple of 9
Is x = 20, 21, 22, 23, 24, 25, or 26?
x is definitely NOT in that list!
Sufficient
Sufficient NO, x is not 20, 21, ..., 26
x = ... 9, 18, 27, 36, 45 ...
MPrep
Is the integer x between 20 and 26, inclusive?
Q
BD ACE
D
Value vs. Yes/No
Value Question:
Sufficient = Single value
How many of the employees in attendance were senior managers?
NOT Sufficient = Multiple values
Yes/No Question:
Sufficient = Definitive Yes or definitive No
NOT Sufficient = Maybe
Is the integer x between 20 and 26, inclusive?
Quant Data Sufficiency Methods
1
What is Data Sufficiency?
Elimination Grid
Value vs. Yes / No
Prove Insufficient
Rephrasing
Is p an integer?
MPrep
(1) 3p is an integer.
(2) is an integer.
p
3
A (1)
B (2)
C Together
D Either
E Not Enough
(2) is an integer. (1) 3p is an integer.
NOT Sufficient Sufficient
Does p = int?
1
2
1
3No!
No!
1 3 Yes!
2 6
3 9
4 12
Yes!
Yes!
Yes!
Is p an integer?
Q AD BCE
B
MPrep
p
3
2
3
3 Yes! 1
3p p p = int? (1)
Valid?
✔
✔
✔
✔
✔
✔
✔
p
p
3p = int? (2)
Valid?
NOT Sufficient Sufficient
3p = int
p =
int
3
p = ??
p
3= int
p = 3 int( )
p = int
AD BCE Does p = int?
Is p an integer?
Q
(2) is an integer. (1) 3p is an integer.
p
3
B
MPrep
Try to Prove Insufficiency
Yes/No
Pick a real value to test.
Get a yes or no answer.
(1) 3p is an integer.
3p p
1
2
p = int?
Yes!
No! Try to find a case that will
give the opposite answer
Case 1:
Case 2:
1
3
1
(1)
Valid?
✔
✔
Try to Prove Insufficiency
Value
Yes/No
Find more than 1 value that answers
the question.
Find a value that makes the answer
to the question NO.
AND
Find a value that makes the answer
to the question YES.
Try to Prove Insufficiency
Yes/No
Pick a real value to test.
Get one answer.
(1) u = 1
Try to find a case that will
give a different answer.
Case 1:
Case 2:
u v v u
1
1
Greater?
=
v u
u v
1 1
1 2
1
2
Val?
✔
✔
Try to Prove Insufficiency
Value
Yes/No
Find more than 1 value that answers
the question.
Find a value that makes the answer
to the question NO.
AND
Find a value that makes the answer
to the question YES.
Try to Prove Insufficiency
Yes/No
Pick real values to test.
Get one answer.
(1) None of the 3 numbers that are
facing up is divisible by 3.
Try to find a case that will
give a different answer.
Case 1:
Case 2:
{5, 5, 2}
At least
one = 5?
Yes!
No!
Set of 3 Adds
to 12?
✔
✔
(1)
None div
by 3?
✔
✔ {4, 4, 4}
Try to Prove Insufficiency
Value
Yes/No
Find more than 1 value that answers
the question.
Find a value that makes the answer
to the question NO.
AND
Find a value that makes the answer
to the question YES.
Quant Data Sufficiency Methods
1
What is Data Sufficiency?
Elimination Grid
Value vs. Yes / No
Prove Insufficient
Rephrasing
If x, y, and z are positive integers, is (x + y)z greater than (y + z)x ?
(1) y > x
(2) z > x
A (1)
B (2)
C Together
D Either
E Not Enough
MPrep
(2) z > x (1) y > x
AD BCE Is z > x ?
NOT Sufficient Sufficient
(x + y)z > (y + z)x
xz + yz > xy + xz
yz > xy
-xz -xz
y y don't care about y
MPrep
If x, y, and z are positive integers, is (x + y)z greater than (y + z)x ?
Q
B
Rephrase the Question
Take the time to rephrase (simplify) the question!
Slow Down!
Is z > x ?
(x + y)z > (y + z)x
Quant Data Sufficiency Methods
1
What is Data Sufficiency?
Elimination Grid
Value vs. Yes / No
Prove Insufficient
Rephrasing
Sentence Correction
Methods
The Verbal Section
41 problems
75 minutes total
Sentence Correction
15–17 problems
1:20 per problem
average
Reading Comprehension
3–4 passages
12–14 problems
Critical Reasoning
11–14 problems
Sentence Correction Methods
1
What SC tests
Tackling SC problems
Making SC complex
You’ll learn how to...
use the 4-step SC Process
read vertically and find “splits”
What to Expect
Original Sentence
• some portion underlined
(might be all!)
Carrots and beets are both best
growing in cooler climates.
(A) are both best growing
(B) is best grown
(C) is both best grown
(D) are best grown
(E) both are growing best
Answer Choices
• replace the underlined portion
• (A) is the original underline
• (B)–(E) are different
• will contain at least one
difference at both the
beginning and the end
of the underline
Subject-Verb Agreement
Verb Tense, Voice, etc.
Pronouns
Modifiers
Parallelism & Comparisons
Idioms
Connecting Punctuation
Correct Grammar Clear Meaning
Good Grammar
promotes
Clear Meaning
Grammar
Tested
What Does SC Test?
Pop Quiz
When Tom beat Adam at chess, he cried like a baby.
Yesterday I went to the store and will buy some milk.
Before buying a new car, Erin researched prices online.
The dog played with the boy, who barked and wagged his
tail.
Pop Quiz
When Tom beat Adam at chess, he cried like a baby.
Yesterday I went to the store and will buy some milk.
Before buying a new car, Erin researched prices online.
The dog played with the boy, who barked and wagged his
tail.
SC 4-Step Process
1
2
3
4
Take a first glance.
Read for meaning.
Find a starting point.
Can I tackle this?
YES NO
Ignore Eliminate
(ALL incorrect choices)
Am I done?
YES
NO Find a new starting point.
Choose & move on!
A
B
C
D
E
Keep
track!
Sentence Correction Methods
1
What SC tests
Tackling SC problems
Making SC complex
How Does It Sound?
Companies do not always meet the profit forecasts made by
independent analysts, which can result in a drop in stock price even
when the company is profitable.
New Zealand was the first modern independent country to consider
women the legal equals of men.
The temperature in Florida is a lot warmer than Canada in
December.
How Does It Sound?
Companies do not always meet the profit forecasts made by
independent analysts, which can result in a drop in stock price even
when the company is profitable.
New Zealand was the first modern independent country to consider
women the legal equals of men.
The temperature in Florida is a lot warmer than Canada in
December.
Sentence Correction Methods
1
What SC tests
Tackling SC problems
Making SC complex
Prepare to Face the GMAT
Build Your Foundation
Prepare to Face the GMAT Build Your Foundation
1
You’ll learn...
What’s on the GMAT
How the GMAT is scored
How to get the most out of your preparation
GMAT Structure
Argument
Essay
Integrated
Reasoning Quant Verbal
B
R
E
A
K
B
R
E
A
K
F
I
N
I
S
H
S
T
A
R
T
Scoring: 0-6 1-8 0-51 0-51
1 essay 12 questions 37 questions
Problem Solving
Data Sufficiency
41 questions
Sentence Correction
Critical Reasoning
Reading Comprehension
Combine to 200-800
30 min. 75 min. 75 min. 30 min. 8 min. 8 min. Time:
Prepare to Face the GMAT Build Your Foundation
1
You’ll learn...
What’s on the GMAT
How the GMAT is scored
How to get the most out of your preparation
What would these scores look like?
Computing Your Score Pop Quiz
Difficulty
Level
Question Number
Student 1 Student 2
(A) Student 1 earns a higher score.
(B) Student 2 earns a higher score.
(C) Their scores are about the same.
Computing Your Score Pop Quiz
Difficulty
Level
Question Number
Student 1 Student 2
Where you end is what you get.
(A) Student 1 earns a higher score.
(B) Student 2 earns a higher score.
(C) Their scores are about the same.
100 -
90 -
80 -
70 -
60 -
50 -
40 -
30 -
20 -
10 -
0 -
Difficulty
Level
Question Number
1 2 3 4 5 6 7 8 . . . 36 37
Computing Your Score A Practical Understanding
The easiest way to understand your score:
WHERE YOU END IS WHAT YOU GET
The easiest way to understand your score:
WHERE YOU END IS WHAT YOU GET
100 -
90 -
80 -
70 -
60 -
50 -
40 -
30 -
20 -
10 -
0 -
Difficulty
Level
Question Number
1 2 3 4 5 6 7 8 . . . 36 37
Computing Your Score A Practical Understanding
Computing Your Score The Reality of Adaptive Testing
1 2 3 4 5 6 7 8 . . . 36 37
100 -
90 -
80 -
70 -
60 -
50 -
40 -
30 -
20 -
10 -
0 -
Difficulty
Level
Question Number
1 2 3 4 5 6 7 8 . . . 36 37
100 -
90 -
80 -
70 -
60 -
50 -
40 -
30 -
20 -
10 -
0 -
Difficulty
Level
Question Number
Computing Your Score The Reality of Adaptive Testing
They both miss about half of the questions.
The test feels DIFFICULT
for everyone!
100 -
90 -
80 -
70 -
60 -
50 -
40 -
30 -
20 -
10 -
0 -
Difficulty
Level
Question Number
CAT Graph – Is
Recovery
Possible? Computing Your Score Is Recovery Possible
The easiest way to understand your score:
WHERE YOU END IS WHAT YOU GET
Recovery from one or two
early errors is possible.
1 2 3 4 5 6 7 8 . . . 36 37
1 2 3 4 5 6 7 8 . . . 36 37
100 -
90 -
80 -
70 -
60 -
50 -
40 -
30 -
20 -
10 -
0 -
Difficulty
Level
Question Number
Why might this happen?
Solidify your FOUNDATION and
TIMING.
Timing issues or careless mistakes
will drag you down!
CAT Graph –
“Holes” in the
Foundation CAT Graph – Recovery is Possible
Computing Your Score What to Avoid
1 2 3 4 . . . 33 34 35 36 37
100 -
90 -
80 -
70 -
60 -
50 -
40 -
30 -
20 -
10 -
0 -
Difficulty
Level
Question Number
Poor allocation of time
leaves points on the table.
Computing Your Score What to Avoid
Miss too many questions
below your level and
your score will suffer.
37 Question Section Score (percentile)
Avoid the End-of-Section Dip
Finito
37 answered
0 random guesses
(but still guesses!)
70th NICE PACING!
Randy
32 answered
5 random guesses
(1 right, 4 wrong)
64th PENALTY
Blankman
32 answered
5 left blank 55th HUGE PENALTY
Every question has
a difficulty rating. How?
Every question has been
tested on 1000-2000
previous test-takers.
A number of your
questions will be
experimental.
DON’T GET HUNG UP
ON ANY ONE PROBLEM
(it may be experimental!)
Experimental Questions
Difficulty?
Hard
50th percentile Easy
Prepare to Face the GMAT Build Your Foundation
1
You’ll learn...
What’s on the GMAT
How the GMAT is scored
How to get the most out of your preparation
What is "Good" Pacing?
0 min. 75 min.
0 min. 3 min.
make more careless errors
not enough time to understand
jeopardize other problems
excessive time ≠ better accuracy
Sweet Spot Too Fast Too Slow
2.5 min.
45 sec.
Time per question Start End
How long is too long on one question?
Prepare to Face the GMAT
Build Your Foundation 1
Assess Your Progress 2
Attack Your Weaknesses 3
Develop Your Game Plan 4
• content (e.g., geometry)
• approach (e.g., DS)
• time management
Build Your Foundation
Build Your Foundation 1
Assess Your Progress 2
Attack Your Weaknesses 3
Develop Your Game Plan 4
LEARN CONTENT &
APPROACHES
• class
• strategy guides
RUN TIMING DRILLS
• single problems timed
• timed blocks
APPLY AND REPEAT
• OG problems by
content area
During the course…
Learn:
• GMAT Mindset
• Timing
• Content
Practice:
• Strategy Guides
• OG Problems
• Practice CATs
DAY
1 TEST
DAY Plan Review Learn & Practice
Your GMAT Timeline
100 -
90 -
80 -
70 -
60 -
50 -
40 -
30 -
20 -
10 -
0 -
Difficulty
Level
Computing Your Score Improving in Adaptive Testing
Range of question
difficulty level
Easier for you
Harder for you
Estimated
Ability
100 -
90 -
80 -
70 -
60 -
50 -
40 -
30 -
20 -
10 -
0 -
Difficulty
Level
Computing Your Score Improving in Adaptive Testing
Range of question
difficulty level
Easier for you
Harder for you
Estimated
Ability
7 Practice Habits of Highly Effective Students
1. Time yourself on OG problems. Make decisions the
way you’d want to make them on the real test.
2. Questions in Strategy Guides and Official Guides:
check answer after each problem.
3. Use consistent scrap paper techniques.
4. Track your work.
5. Employ short and frequent study sessions.
6. Review your work for EVERY problem.
7. Seriously, review your work. Focus on quality over quantity.
Build Your
Foundation 1
Assess Your
Progress 2
Attack Your
Weaknesses 3
Develop Your
Game plan 4
Practice Habits
Course Overview
Resources & Planning
What does the course cover?
What are my primary resources?
Which resources will help me assess my progress?
What else should I do?
Course Overview 1
GMAT Structure
Argument
Essay
Integrated
Reasoning Quant Verbal
B
R
E
A
K
B
R
E
A
K
F
I
N
I
S
H
S
T
A
R
T
Scoring: 0-6 1-8 0-51 0-51
1 essay 12 questions 37 questions
Problem Solving
Data Sufficiency
41 questions
Sentence Correction
Critical Reasoning
Reading Comprehension
Combine to 200-800
30 min. 75 min. 75 min. 30 min. 8 min. 8 min. Time:
Session Quant Sentence
Correction
Critical
Reasoning
Reading
Comp
Essay /
IR
Preparing for
the GMAT
Practice
Exams
1 DS Methods Methods Build Your
Foundation
2 FDP Mechanics Subject-Verb Reading 1st by
Session 2
3 FDP Strategies Modifiers Detail
Questions
4 Algebra 1
Argument
Structure &
Methods
Essay /
IR
5 Algebra 2 Parallelism Find the
Assumption
6 Word Problem
Stories Comparisons
Challenging
RC Prep for CAT 2
7 Word Problem
Statistics
Strengthen/
Weaken the
Argument
Assess Your
Progress
2nd before
Session 7
8 Geometry Pronouns Evaluate the
Argument
9 Number
Properties Verbs Evidence Family
Develop Your
Gameplan
3rd after
Session 9
The Big Picture
What does the course cover?
What are my primary resources?
Which resources will help me assess my progress?
What else should I do?
Course Overview
o 35 Fully Interactive Lessons taught by
Manhattan Prep instructors
GMAT INTERACT
o Post-Exam Assessment
o Post-Course Assessment
ASSESSMENTS
o 6 Manhattan Prep CATs
PRACTICE TESTS
o GMAT Write o 2 GMATPrep® exams
o Online Syllabus
o GMAT Navigator
STUDY TOOLS
BOOKS
Foundations Test Booklet
10 Strategy Guides
GMAC Official Guide
Your Resource Map Welcome Guide
Download the
Welcome Guide
Your Online Syllabus
Same start for everyone
5-10 hours of homework/week
Options for further work
Based on your strengths &
weaknesses (and availability)
Follow Each Week Class Syllabus
Online or
Click on sections and subsections
to see your specific assignments
Whit: what do you think about
making this image the FDPs
homework, not FoM? Gives
teachers something a little more
advanced to talk about, shows a
link to an online assignment, etc.
What does the course cover?
What are my primary resources?
Which resources will help me assess my progress?
What else should I do?
Course Overview
3 are assigned in the Syllabus over
the next 9 weeks
Do them all timed!
• Mimic the real test
Assigned Throughout 6 Practice CATs
Do 3 timed exams to qualify for:
• Post-Course Assessment
• Post-Exam Assessment
What does the course cover?
What are my primary resources?
Which resources will help me assess my progress?
What else should I do?
Course Overview
• Areas covered:
– Time-management
– Study organization
– How to study
• Expert advice written by Manhattan Prep instructors
Expert Advice GMAT Roadmap
• Filled with advice to get you from
Day 1 to the Big Event.
• Assigned in the Syllabus each week
• Do a little every day. Put pen to paper.
• If you fall behind, fill in the gaps later. Make it a Habit
• Tackle the Do This homework every week. Use the
Syllabus
• Spend more time on your weaker areas.
• Don’t completely ignore the other areas.
Focus on
Weaknesses
• Use GMAT Navigator to record your work. Do your OGs
• Get used to the feel of real GMAT questions.
Commit Each Week Homework
You Decide – Your Timeline
When will you be ready?
Timeline 2
9 Weeks 16+
Days
Completing less homework each week
or aiming for a very high score increase EXAM 1 EXAM 2
1 - 3 Months
Additional
Study
Timeline 1
9 Weeks 16+
Days
Completing Do This homework each week
EXAM 1 EXAM 2
2 - 3
wks
Keys to Your Success
1 Attend Class & Ask Questions.
2 Do the Work & Review.
3 Have Fun!
Optional Slides Optional Slides
Lesson Review GMAT Interact
• Interactive lessons
• Use to reinforce lessons from this class
• Use if you have to miss class
Lesson Review GMAT Interact
Record Your Work GMAT Navigator
Use with the Official Guide
Track
performance
Review our
explanations,
in print or
video
View
statistics
+ Real GMAT q's, algorithm
Use these exams in the final weeks
of preparation
Two free practice exams
- No explanations, some analysis
Question set builder
+ Can do question sets on-screen
+ Select a mix of type and difficulty
+ 90 free questions; can add 400+
fresh q's by buying Quant Pack 1
Extra Practice Problems GMATPrep® www.mba.com
• Assess progress
Post-Exam Assessment
To access: Complete the 3 timed practice exams, including #1
by next class. See the Welcome Guide for details.
After the course...
After the exam...
Want pre-exam
guidance?
Didn’t get the score
you wanted?
Phone consultation
Post-Course Assessment
• Diagnose issues
• Plan next steps
Both with
specially
trained
instructors
Online meeting
• Plot your game plan
Personalized Feedback Assessments