Join Mr. D for a mini-SAT Boot Camp. Mr. D will be showing the tips and techniques from his SAT Boot Camps. This workshop will focus on math, the language behind the questions and show participants what they really need to know before taking the math section of the SAT.
Find out the words on the test that give tips for how to solve the questions as well learning what formulas you really need to know before the taking the SAT. Students and parents alike will learn how to unravel the questions being asked into something they can solve quickly and easily. These techniques can be used for other testing situations and subject areas as well.
1. SAT
Math
–
Its
All
About
the
Ques2on!
OLD
-‐
3
Tests
NEW
-‐
2
Tests
TIME:
TIME:
25
Minutes
–
20
Ques.ons
25
Minutes
–
20
Ques.ons
(No
C)
25
Minutes
–
18
Ques.ons
55
Minutes
–
38
Ques.ons
(Calc)
20
Minutes
–
16
Ques.ons
CONTENT:
CONTENT:
Algebra
I
Geometry
Some
Algebra
II
Algebra
I
Geometry
Algebra
II
Trigonometry
Data
Analysis
(Prob
&
Stats)
What’s Different!
2. SAT
Math
–
Its
All
About
the
Ques2on!
OLD
Free
Response
and
Mul2ple
Choice
on
1
test
only.
¼
point
deducted
for
wrong
answers
on
mul2ple
choice
ques2ons.
NEW
Free
Response
and
Mul2ple
Choice
on
both
(all)
tests.
No
points
deducted
for
wrong
answers.
What’s Different!
3.
3
Things
You
WANT
to
Memorize
for
the
Math
SAT
SAT
Math
–
Its
All
About
the
Ques2on!
4. 1.
The
Pythagorean
Theorem
a2
+
b2
=
c2
• The
Pythagorean
Theorem
is
used
for
finding
the
length
of
the
hypotenuse
of
a
right
triangle.
While
that
is
great
and
useful,
it
can
be
used
for
much
more.
SAT
Math
–
Its
All
About
the
Ques2on!
a
5. The
Pythagorean
Theorem
a2
+
b2
=
c2
• Instead
of
memorizing
the
distance
formula,
you
can
simply
use
the
Pythagorean
Theorem.
• The
30-‐60-‐90
and
45-‐45-‐90
special
right
triangle
formulas
are
given
on
the
SAT,
the
Pythagorean
Theorem
can
be
used
in
place
of
those
too.
SAT
Math
–
Its
All
About
the
Ques2on!
a
6. 2.
Pythagorean
Triples
• Here
are
the
two
Pythagorean
Triples
that
will
show
up
most
oWen
on
the
SAT:
3-‐4-‐5
as
32
+
42
=
52
5-‐12-‐13
as
52
+
122
=
132
SAT
Math
–
Its
All
About
the
Ques2on!
a
7. You
can
use
those
same
Pythagorean
Triples
to
make
more
of
them.
What
do
I
mean
by
“make
more
of
them?”
Just
count
by
each
number
to
make
more.
For
example,
count
by
3’s,
4’s
and
5’s!
3-‐4-‐5
will
also
create
as
6-‐8-‐10,
and
9-‐12-‐15,
and
so
on.
5-‐12-‐13
will
do
the
same
as
10-‐24-‐26.
SAT
Math
–
Its
All
About
the
Ques2on!
a
8. 3.
Know
what
f(x)
means
• f(x)
is
called
func.on
nota.on
and
is
read
f
of
x.
• f(x)
is
just
a
fancy
way
to
say
“y”
in
an
equa.on
that
also
has
an
“x.”
f(x)
=
2x
+
5
really
means
y
=
2x
+
5
SAT
Math
–
Its
All
About
the
Ques2on!
a
9. 3.
Know
what
f(x)
means
• f(3)
is
read
f
at
3.
If
f(x)
=
2x
+
5
find
f(3).
Replace
x
with
3!
f(3)
=
2(3)
+
5
f(3)
=
6
+
5
f(3)
=
11
SAT
Math
–
Its
All
About
the
Ques2on!
a
10. 3.
Know
what
f(x)
means
• Find
x
if
f(x)
=
3
when
f(x)
=
2x
+
5.
Replace
f(x)
with
3!
3
=
2x
+
5
-‐2
=
2x
-‐1
=
x
SAT
Math
–
Its
All
About
the
Ques2on!
a
11. Mr.
D’s
2
Step
Method
for
Taking
Tests
(any
test/any
subject)
Step
1
-‐
Find
the
Ques.on
Step
2
-‐
Answer
the
Ques.on
SAT
Math
–
Its
All
About
the
Ques2on!
12. SAT
Math
–
Its
All
About
the
Ques2on!
On Saturday afternoon, Armand sent m text
messages each hour for 5 hours, and Tyrone sent p
text messages each hour for 4 hours. Which of the
following represents the total number of messages
sent by Armand and Tyrone on Saturday afternoon?
A) 9mp
B) 20mp
C) 5m + 4p
D) 4m + 5p
13. SAT
Math
–
Its
All
About
the
Ques2on!
On Saturday afternoon, Armand sent m text
messages each hour for 5 hours, and Tyrone sent p
text messages each hour for 4 hours. Which of the
following represents the total number of messages
sent by Armand and Tyrone on Saturday afternoon?
A) 9mp
B) 20mp
C) 5m + 4p
D) 4m + 5p
14. SAT
Math
–
Its
All
About
the
Ques2on!
Kathy is a repair technician for a phone company.
Each week, she receives a batch of phones that need
repairs. The number of phones that she has left to fix
at the end of each day can be estimated with the
equation P = 108 − 23d, where P is the number of
phones left and d is the number of days she has
worked that week. What is the meaning of the value
108 in this equation?
A) Kathy will complete the repairs within 108 days.
B) Kathy starts each week with 108 phones to fix.
C) Kathy repairs phones at a rate of 108 per hour.
D) Kathy repairs phones at a rate of 108 per day.
15. SAT
Math
–
Its
All
About
the
Ques2on!
Kathy is a repair technician for a phone company.
Each week, she receives a batch of phones that need
repairs. The number of phones that she has left to fix
at the end of each day can be estimated with the
equation P = 108 − 23d, where P is the number of
phones left and d is the number of days she has
worked that week. What is the meaning of the value
108 in this equation?
A y-intercept is when x = 0 or when time begins!
A) Kathy will complete the repairs within 108 days.
B) Kathy starts each week with 108 phones to fix.
C) Kathy repairs phones at a rate of 108 per hour.
D) Kathy repairs phones at a rate of 108 per day.
20. SAT
Math
–
Its
All
About
the
Ques2on!
A function f satisfies f(2) = 3 and f(3) = 5. A
function g satisfies g(3) = 2 and g(5) = 6.
What is the value of f(g(3))?
A) 2
B) 3
C) 5
D) 6
Since g(3) = 2, f(g(3)) = f(2)
f(2) = 3
21. SAT
Math
–
Its
All
About
the
Ques2on!
A function f satisfies f(2) = 3 and f(3) = 5. A
function g satisfies g(3) = 2 and g(5) = 6.
What is the value of f(g(3))?
A) 2
B) 3
C) 5
D) 6
Since g(3) = 2, f(g(3)) = f(2)
f(2) = 3
22. SAT
Math
–
Its
All
About
the
Ques2on!
If 16 + 4x is 10 more than 14, what is the value of 8x?
A) 2
B) 6
C) 16
D) 80
23. SAT
Math
–
Its
All
About
the
Ques2on!
If 16 + 4x is 10 more than 14, what is the value of 8x?
A) 2
B) 6
C) 16
D) 80
16 + 4x = 24
Multiply by 2 to get 8x
32 + 8x = 48
8x = 16
24. SAT
Math
–
Its
All
About
the
Ques2on!
The complete graph of the function f is shown in the
xy-plane above. For what value of x is the value of f(x)
at its minimum?
A) −5 C) −2
B) −3 D) 3
25. SAT
Math
–
Its
All
About
the
Ques2on!
The complete graph of the function f is shown in the
xy-plane above. For what value of x is the value of f(x)
at its minimum?
A) −5 C) −2
B) −3 D) 3
26. SAT
Math
–
Its
All
About
the
Ques2on!
The data in the table above were produced by a sleep researcher studying the
number of dreams people recall when asked to record their dreams for one week.
Group X consisted of 100 people who observed early bedtimes, and Group Y
consisted of 100 people who observed later bedtimes. If a person is chosen at
random from those who recalled at least 1 dream, what is the probability that the
person belonged to Group Y ?
A) 68 C) 79
100 164
B) 79 D) 164
100 200
27. SAT
Math
–
Its
All
About
the
Ques2on!
The data in the table above were produced by a sleep researcher studying the
number of dreams people recall when asked to record their dreams for one week.
Group X consisted of 100 people who observed early bedtimes, and Group Y
consisted of 100 people who observed later bedtimes. If a person is chosen at
random from those who recalled at least 1 dream, what is the probability that the
person belonged to Group Y ?
A) 68 C) 79
100 164
B) 79 D) 164
100 200
28. SAT
Math
–
Its
All
About
the
Ques2on!
A researcher conducted a survey to determine whether
people in a certain large town prefer watching sports
on television to attending the sporting event. The
researcher asked 117 people who visited a local
restaurant on a Saturday, and 7 people refused to
respond. Which of the following factors makes it least
likely that a reliable conclusion can be drawn about the
sports-watching preferences of all people in the town?
A) Sample size
B) Population size
C) The number of people who refused to respond
D) Where the survey was given
29. SAT
Math
–
Its
All
About
the
Ques2on!
A researcher conducted a survey to determine whether
people in a certain large town prefer watching sports
on television to attending the sporting event. The
researcher asked 117 people who visited a local
restaurant on a Saturday, and 7 people refused to
respond. Which of the following factors makes it least
likely that a reliable conclusion can be drawn about the
sports-watching preferences of all people in the town?
A) Sample size
B) Population size
C) The number of people who refused to respond
D) Where the survey was given
Statistics is all about surveys
being done randomly!