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STAAR Math
Standard by Standard
Teacher Key
Applying the
Readiness and
Supporting TEKS
for the STAAR
Level
F
Level F • STAAR Math Standard by Standard
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STAAR Math Standard by Standard • Level F
Contents
To the Teacher . . . . . . . . . . . . . .4
Answer Key . . . . . . . . . . . . . . . . .6
TEKS Reporting Category 1:
Numerical Representations
and Relationships . . . . . . . . . . . .6
TEKS 6.2.A . . . . . . . . . . . . . . . . . . . . .6
TEKS 6.2.B . . . . . . . . . . . . . . . . . . . . .6
TEKS 6.2.C . . . . . . . . . . . . . . . . . . . . .6
TEKS 6.2.D . . . . . . . . . . . . . . . . . . . . .7
TEKS 6.2.E . . . . . . . . . . . . . . . . . . . . .7
TEKS 6.4.C . . . . . . . . . . . . . . . . . . . . .7
TEKS 6.4.D . . . . . . . . . . . . . . . . . . . . .7
TEKS 6.4.E . . . . . . . . . . . . . . . . . . . . .8
TEKS 6.4.F . . . . . . . . . . . . . . . . . . . . .8
TEKS 6.4.G . . . . . . . . . . . . . . . . . . . . .8
TEKS 6.5.C . . . . . . . . . . . . . . . . . . . . .8
TEKS 6.7.A . . . . . . . . . . . . . . . . . . . . .9
TEKS 6.7.B . . . . . . . . . . . . . . . . . . . . .9
TEKS 6.7.C . . . . . . . . . . . . . . . . . . . . .9
TEKS 6.7.D . . . . . . . . . . . . . . . . . . . . .9
TEKS Reporting Category 2:
Computations and
Algebraic Relationships . . . . . .10
TEKS Reporting Category 3:
Geometry and
Measurement . . . . . . . . . . . . . .16
TEKS 6.4.H . . . . . . . . . . . . . . . . . . . .16
TEKS 6.8.A . . . . . . . . . . . . . . . . . . . .16
TEKS 6.8.B . . . . . . . . . . . . . . . . . . . .16
TEKS 6.8.C . . . . . . . . . . . . . . . . . . . .17
TEKS 6.8.D . . . . . . . . . . . . . . . . . . . .17
TEKS 6.11.A . . . . . . . . . . . . . . . . . . .17
TEKS Reporting Category 4:
Data Analysis and Personal
Financial Literacy . . . . . . . . . . .18
TEKS 6.12.A . . . . . . . . . . . . . . . . . . .18
TEKS 6.12.B . . . . . . . . . . . . . . . . . . .18
TEKS 6.12.C . . . . . . . . . . . . . . . . . . .18
TEKS 6.12.D . . . . . . . . . . . . . . . . . . .19
TEKS 6.13.A . . . . . . . . . . . . . . . . . . .19
TEKS 6.13.B . . . . . . . . . . . . . . . . . . .19
TEKS 6.14.A . . . . . . . . . . . . . . . . . . .19
TEKS 6.14.B . . . . . . . . . . . . . . . . . . .20
TEKS 6.14.C . . . . . . . . . . . . . . . . . .20
TEKS 6.14.E . . . . . . . . . . . . . . . . . . .20
TEKS 6.14.F . . . . . . . . . . . . . . . . . . .20
TEKS 6.14.G . . . . . . . . . . . . . . . . . . .21
TEKS 6.14.H . . . . . . . . . . . . . . . . . . .21
TEKS 6.3.A . . . . . . . . . . . . . . . . . . . .10
TEKS 6.3.B . . . . . . . . . . . . . . . . . . . .10
TEKS 6.3.C . . . . . . . . . . . . . . . . . . . .10
TEKS 6.3.D . . . . . . . . . . . . . . . . . . . .11
TEKS 6.3.E . . . . . . . . . . . . . . . . . . . .11
TEKS 6.4.A . . . . . . . . . . . . . . . . . . . .11
TEKS 6.4.B . . . . . . . . . . . . . . . . . . . .11
TEKS 6.5.A . . . . . . . . . . . . . . . . . . . .12
TEKS 6.5.B . . . . . . . . . . . . . . . . . . . .12
TEKS 6.6.A . . . . . . . . . . . . . . . . . . . .12
TEKS 6.6.B . . . . . . . . . . . . . . . . . . . .13
TEKS 6.6.C . . . . . . . . . . . . . . . . . . . .13
TEKS 6.9.A . . . . . . . . . . . . . . . . . . . .13
TEKS 6.9.B . . . . . . . . . . . . . . . . . . . .13
TEKS 6.9.C . . . . . . . . . . . . . . . . . . . .14
TEKS 6.10.A . . . . . . . . . . . . . . . . . . .14
TEKS 6.10.B . . . . . . . . . . . . . . . . . . .14
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Level F • STAAR Math Standard by Standard
To the Teacher
STAAR Math Standard by Standard Applying the Readiness and
Supporting TEKS for the STAAR prepares students for success in
mathematics. The program is organized into four books:
• Numerical Representations and Relationships
• Computations and Algebraic Relationships
• Geometry and Measurement
• Data Analysis and Personal Financial Literacy
The lessons, activities, and problems in the book address each TEKS
and have a corresponding set of related math problems that provide
Modeled Instruction, Guided Practice, and Independent Practice.
Modeled Instruction displays a specific example for students on how
to use the Five-Step Problem-Solving Plan.
Each step in the Five-Step Problem-Solving Plan provides students with
the tools they need to develop problem-solving strategies and
understand the principles taught in the TEKS.
The five steps include:
Identify: What are you being asked to find?
Find: What information are you given?
Choose: What strategy will you use to solve the problem?
Solve: Solve the problem.
Check and Justify: Check and justify your answer.
Guided Practice provides hints, which also offer strategies to help
students solve the problems. Throughout the text, students are
introduced to a variety of different problem-solving methods.
4
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STAAR Math Standard by Standard • Level F
Independent Practice presents math problems for each TEKS for
students to solve on their own.
Following Independent Practice, students are provided with a twopage math journal where they can record and comment on what they
have learned.
Within the journal, students can be directed to write solutions for one
of the practice problems, determine what questions they would like to
ask the teacher to better understand what they have learned, write
math problems that are similar to the ones they just solved, or explain in
greater detail what they would like to do or learn about in math class.
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Level F • STAAR Math Standard by Standard
Answer Key
TEKS Reporting Category 1:
Numerical Representations and Relationships
6.2.A Supporting
6.2.C Supporting
2. 0 is a whole number and an
integer. –8 is an integer. The other
numbers are rational numbers. The
correct answer is G.
2. If you plot the pairs of numbers on
a number line, the number that is
farther to the right is the greater
number. The correct comparison is
–ᎏ1ᎏ > –1 because –ᎏ1ᎏ is farther to
2
2
the right. The correct answer is H.
3. B
4. H
5. A
3. A
6. J
4. F
7. C
5. C
8. F
6. J
6.2.B Supporting
7. D
2. The absolute value of a number
represents its distance from 0.
6 is 6 units from 0, so the absolute
value is 6.The correct answer is H.
8. F
3. B
4. J
5. A
6. H
7. D
8. J
6
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STAAR Math Standard by Standard • Level F
6.2.D Readiness
6.4.C Supporting
2. The weights must be ordered
starting with the heaviest, 0.47 lbs.
Recall that 0.4 lbs. is the same as
0.40 lbs., so the correct order is
0.47 lbs., 0.4 lbs., 0.39 lbs. The
correct answer is H.
2. Determine what value times
$15 equals $180. 12 × $15 = $180,
so the answer is 12. Division can
also be used to solve this problem:
$180 ÷ $15 = 12. The correct
answer is G.
3. C
3. C
4. J
4. G
5. A
5. D
6. H
6. F
7. B
7. B
8. F
8. G
6.2.E. Supporting
2
2. ᎏᎏ means 2 divided by 3, which can
3
be written as 2 ÷ 3. The correct
6.4.D Supporting
2. Divide the total cost of $6.00 by
8 bars, and you get $0.75, the cost
of one bar. The correct answer is H.
answer is F.
3. B
3. D
4. F
4. H
5. D
5. A
6. F
6. H
7. C
7. A
8. H
8. F
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Level F • STAAR Math Standard by Standard
6.4.E Supporting
6.4.G Readiness
2. There are 3 squares and 2 circles.
Therefore, the ratio of squares to
circles is 3 to 2, or 3:2. The correct
answer is J.
45
2. 45% = ᎏᎏ = 0.45. The correct
100
answer is J.
3. B
3. C
4. H
4. H
5. B
5. D
6. G
6. G
7. A
7. D
8. F
8. G
6.5.C Supporting
6.4.F Supporting
2. Each column is 10 squares out of
100, or 10%. Three columns is 30
squares out of 100, or 30%. The
correct answer is G.
3. C
4. G
5. D
6. F
7. C
8. H
2. Determine the portion of the games
the team lost by combining the wins
and ties, and then subtracting the
sum from 1, or 100%.
Wins: 24% = 0.24;
1
Ties: ᎏᎏ = 20% = 0.2.
5
0.24 + 0.2 = 0.44
That’s the portion of games that
were won or tied. They lost
1 – 0.44 = 0.56 of their games.
The correct answer is J.
3. A
4. H
5. D
6. H
7. D
8. J
8
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STAAR Math Standard by Standard • Level F
6.7.A Readiness
6.7.C Supporting
2. 36 = 4 × 9 = 2 × 2 × 3 × 3 = 22 × 32.
2 and 3 are both prime numbers, so
this is the prime factorization of 36.
The correct answer is G.
3. B
2. Each p has a coefficient of 1. Using
the distributive property,
p + p + p + p = p(1 + 1 + 1 + 1) = p(4),
and p(4) = 4p by the Commutative
Property. The correct answer is G.
4. G
3. B
5. D
4. F
6. G
5. B
7. A
6. H
8. F
7. D
8. H
6.7.B Supporting
6.7.D Readiness
2. The expressions for answer choices
G, H, and J use the word “is” and
tell you what they are equal to. This
means they have an equal sign and
are not expressions. The correct
answer is F.
3. B
3. D
4. G
4. H
5. D
5. C
6. H
6. G
7. C
7. B
8. J
2. The expressions for answer choices
F, H, and J all simplify to 3m + 6.
3m + 6 is not equivalent to 9m. The
correct answer is G.
8. G
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Level F • STAAR Math Standard by Standard
TEKS Reporting Category 2:
Computations and Algebraic Relationships
6.3.A Supporting
6.3.C Supporting
2 5
2. The reciprocal of ᎏᎏ is ᎏᎏ, so
5 2
2
5
3 ÷ ᎏᎏ = 3 × ᎏᎏ. The correct answer
5
2
is H.
2. The team moved forward on the
next play, which is represented as
positive yards. Add the yards
gained to the yards that were lost
from the previous play. –2 + 8 = 6.
They gained 6 yards from their
original position. The correct
answer is F.
3. C
4. J
5. A
3. C
6. H
4. J
7. C
5. C
8. G
6. J
6.3.B Supporting
7. C
7
2. Since ᎏᎏ < 1, the product will be
12
less than 36. The correct answer is G.
8. J
3. C
4. F
5. A
6. G
7. D
8. F
10
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STAAR Math Standard by Standard • Level F
6.3.D Readiness
6.3.E Readiness
2. When you divide two numbers with
unlike signs, the quotient is always
negative. 78 ÷ 13 = 6. Since 78 is
negative and 13 is positive, their
quotient is negative. The correct
answer is G.
2. First, convert the mixed numbers to
4 9
an improper fraction. 1ᎏᎏ = ᎏ ᎏ. Then,
5 5
multiply the mixed number by the
1 9 3 27
2
reciprocal of ᎏᎏ. ᎏᎏ × ᎏᎏ = ᎏᎏ = 5ᎏᎏ.
3 5 1
5
5
The correct answer is J.
3. D
4. H
5. A
6. G
7. A
8. F
3. C
4. J
5. A
6. G
7. B
8. J
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11
Level F • STAAR Math Standard by Standard
6.4.A Supporting
6.5.A Supporting
2. Caitlyn gets $10(12) = $120, and
Darcy gets $10 + 12 = $22.
$120 – $22 = $98. The correct
answer is F.
2. The unit rate is $0.75 per ticket,
so 8 tickets should cost 8 × $0.75 =
$6.00. The point (8, $6.50) will not
be on the graph because it is not
proportional to the other data
points. The correct answer is H.
3. B
4. H
3. C
5. D
4. G
6. G
5. A
7. A
6. G
8. G
7. D
8. H
6.4.B Readiness
2. 186 miles ÷ 3 hours = 62 mph, and
62 mph < 68 mph. Nate slowed
down. The correct answer is G.
3. B
4. F
5. A
6. F
7. D
8. H
12
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STAAR Math Standard by Standard • Level F
6.5.B Readiness
6.6.B Supporting
2. 88% of 25 = 0.88 × 25 = 22, so
Pecos answered 22 questions
correctly. The correct answer is G.
2. To find the area of a square, you
multiply the length of a side by
itself. That is, you square the length
of a side, so a = s2. The correct
answer is H.
3. D
4. H
3. C
5. A
4. G
6. G
5. A
7. C
6. F
8. J
7. D
6.6.A Supporting
8. J
2. The independent variable is the
number of backpacks. So, choose
the list that contains the values of
the number of backpacks from
the table: {2, 4, 6, 8, 9}. The correct
answer is F.
3. C
4. G
5. B
6. H
7. C
8. F
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13
Level F • STAAR Math Standard by Standard
6.6.C Readiness
6.9.B Supporting
2. The table and graph indicate that
she charges $2.50 per glass of tea.
To find the total cost, multiply the
number of glasses by 2.5, which is
represented by the equation
c = 2.5g. The correct answer is F.
x
2. When you solve 2 = ᎏᎏ, you get
4
8 = x. The solution would be
3. D
4. H
4. J
5. B
5. C
6. J
6. G
7. A
7. A
8. G
graphed with a closed circle on 8.
The correct answer is F.
3. C
8. G
6.9.A Supporting
2. You would multiply the number of
times he passed START by 200,
so 200s = 1,400. The correct
answer is H.
3. A
4. G
5. B
6. J
7. D
8. F
14
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STAAR Math Standard by Standard • Level F
6.9.C Supporting
2. The inequality shows that some
value divided into 5 equal parts is
greater than 2. This represents the
situation where Clayton divides
pens into 5 boxes and has more
than 2 in each box. The correct
answer is H.
6.10.B Supporting
21
2. Since ᎏᎏ = 3, 7 is the solution.
7
The correct answer is H.
3. A
4. F
5. B
6. H
3. B
7. A
4. J
8. F
5. B
6. J
7. A
8. G
6.10.A Readiness
2. “At most” means “less than or equal
to”. The correct number line should
have a closed circle on 24 and an
arrow that points to the left. The
correct answer is J.
3. B
4. G
5. C
6. G
7. A
8. G
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15
Level F • STAAR Math Standard by Standard
TEKS Reporting Category 3:
Geometry and Measurement
6.4.H Readiness
6.8.B Supporting
2. Multiply the number of inches
1ft
by the unit rate ᎏᎏ.
12 in.
1 ft
288 in. × ᎏᎏ = 24 ft.:
12 in.
The correct answer is H.
2. The area of the rectangle is
3. D
12 × 5 = 60 cm2. The rectangle is
made up of two congruent right
triangles, so the area of one triangle
is 60 ÷ 2 = 30 cm2. The correct
answer is G.
4. H
3. A
5. B
4. J
6. J
5. B
7. A
6. F
8. F
7. C
8. G
6.8.A Supporting
2. Since the sum of the measures of
the angles in a triangle is 180°,
subtract the measure of both angles
from 180. 180 – 35 – 62 = 83,
so x = 83. The correct answer is H.
3. A
4. G
5. C
6. F
7. D
8. J
16
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STAAR Math Standard by Standard • Level F
6.8.C Supporting
6.11.A Readiness
2. To find the volume of a rectangular
prism, you multiply the length,
width, and height. Therefore,
you would use the equation
V = 10(5)(20) to find the volume.
The correct answer is J.
2. A point on the x-axis will have a
y-coordinate of 0. The point (9, 0)
has a y-coordinate of 0 so, this
point is on the x-axis. The correct
answer is G.
3. A
3. C
4. J
4. J
5. B
5. A
6. H
6. H
7. D
7. B
8. F
8. H
6.8.D Readiness
2. The aquarium is a rectangular prism.
The formula for the volume of a
rectangular prism is: V = l × w × h =
(80)(30)(24) = 57,600 cm3. The
correct answer is J.
3. B
4. G
5. B
6. G
7. A
8. F
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17
Level F • STAAR Math Standard by Standard
TEKS Reporting Category 4:
Data Analysis and Personal Financial Literacy
6.12.A Supporting
6.12.C Readiness
2. The line plots for answer choices
F, G, and J have additional Xs,
missing Xs, or both. The line plot
for H has one X for each piece of
data that is listed. The correct
answer is H.
2. The median is 2.5. The mean is
3.85. 3.85 – 2.5 = 1.35, so the mean
is 1.35 greater than the median.
The correct answer is G.
3. C
4. F
3. B
5. D
4. G
6. H
5. D
7. C
6. H
8. G
7. B
8. F
6.12.D Readiness
6.12.B Supporting
2. While not perfectly symmetric,
the graph is balanced around the
center, 2.5. The correct answer is F.
2. There are 9 June birthdays, and
9
185 total birthdays. ᎏᎏ = 0.0486,
185
which is about 5%. The correct
answer is F.
3. C
3. D
4. G
4. H
5. A
5. B
6. G
6. F
7. C
7. A
8. F
8. J
18
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STAAR Math Standard by Standard • Level F
6.13.A Readiness
6.14.A Supporting
2. Q4 has the smallest range:
180 – 169 = 11. Q1 has a range of
133 – 120 = 13, Q2 has a range of
150 – 133 = 17, and Q3 has a range
of 169 – 150 = 19. The correct
answer is J.
3. C
2. Fees and charges are losses, not
gains, so they are not benefits. A
transfer from one account to
another account is neither a loss
nor a gain. Interest is money that is
added to your account, so it is a
benefit. The correct answer is G.
4. F
3. D
5. B
4. H
6. H
5. B
7. A
6. F
8. J
7. C
8. G
6.13.B Supporting
6.14.B Supporting
2. There are the most possible
responses for the age of the
students in hours. Therefore, the
question for answer choice H
results in the greatest variability.
The correct answer is H.
3. A
3. B
4. J
4. H
5. B
5. B
6. H
6. G
7. B
7. B
8. G
2. When you make a purchase using
your credit card, you have a grace
period before you have to make a
payment. The correct answer is H.
8. J
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19
Level F • STAAR Math Standard by Standard
6.14.C Supporting
6.14.F Supporting
2. Start with the previous balance. Add
all of the credits, and subtract all of
the debits. The balance is $391.46.
The correct answer is H.
5. D
2. A credit report provides financial
information about the borrower. A
lender will use this information to
determine an amount that the
borrower can borrow. Therefore, a
credit report helps to limit the
amount a borrower can borrow.
The correct answer is F.
6. G
3. D
7. A
4. F
8. H
5. C
3. B
4. F
6. G
6.14.E Supporting
7. C
2. Your hobbies are not part of your
financial profile. However, your full
name, address, and social security
number are. The correct answer is J.
8. G
3. B
4. G
5. A
6. G
7. A
8. G
20
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STAAR Math Standard by Standard • Level F
6.14.G Supporting
2. F
Grants are like gifts. The
money is given to a person as
long as it is spent on what it
is intended for. Grants for
college can reduce the cost of
college a little or a lot. The
correct answer is F.
3. D
4. G
5. A
6. H
7. B
8. F
6.14.H Supporting
2. While not completely guaranteed,
salaries do tend to go up as there
is an increase in the educational
requirements for a particular
profession. The correct answer is H.
3. D
4. H
5. B
6. F
7. B
8. H
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21
Level F • STAAR Math Standard by Standard
22
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Level F • STAAR Math Standard by Standard
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