Grade 7 Math STAAR

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Grade 7 Math STAAR 2013
Number, operation, and quantitative reasoning. The student represents and uses numbers in a variety of equivalent
forms. The student is expected to
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TEKS
Question Stems
7.1A
compare and order integers and positive 26 Which list of numbers is in order from greatest to least?
rational numbers;
Supporting Standard
7.1B
convert between fractions, decimals,
18 How is 8% percent written as a decimal?
whole numbers, and percents
mentally, on paper, [or with a
35 Which number is equivalent to the values in the box?
calculator]; and
Readiness Standard
48 Which two values are both equivalent to 240%?
7.1C
represent squares and square roots
30 The model below has an area of 16 square units. Which
using geometric models.
expression represents the side length of the model in units?
Supporting Standard
Number, operation, and quantitative reasoning. The student adds, subtracts, multiplies, or divides to solve problems
and justify solutions. The student is expected to
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TEKS
Question Stems
7.2A
represent multiplication and division
situations involving fractions and
decimals with models, including
[concrete objects,] pictures, words, and
numbers; Supporting Standard
7.2B
use addition, subtraction, multiplication, 16 How much change should Mr. Stein receive if he gives the
and division to solve problems involving cashier $20.00 and 2.25 pounds of meat costs $2.80 per pound?
fractions and decimals; Readiness
Standard
24 Given vertices of (−15,), (−41,), and (,−36), which grid
represents the result of reflecting the triangle across the
x-axis?
37 How many inches did Scot grow if he was 63 3/8 inches tall
in 7th grade and 65 ¼ inches tall in eighth grade?
7.2C
7.2D
7.2E
use models, such as [concrete objects,]
pictorial models, and number lines, to
add, subtract, multiply, and divide
integers and connect the actions to
algorithms; Supporting Standard
use division to find unit rates and ratios
in proportional relationships such as
speed, density, price, recipes, and
student-teacher ratio; Supporting
Standard
simplify numerical expressions involving
order of operations and exponents;
Supporting Standard
23 What is the value of the expression shown below?
Grade 7 Math STAAR 2013
7.2F
select and use appropriate operations to
solve problems and justify the
selections; and Readiness Standard
25 Given Jackie completed 2/5 of 65 puzzles and she completes
13 more puzzles, what is the total number of puzzles that she
will have completed in the book?
33 Which method can be used to determine the total number
of words in the ad Mr. Grant placed if there is a one-time fee of
$6.00 plus $0.08 per word?
51 Use the information given to determine how many quarts of
Oceanside Blue Mr. Jenkins bought.
7.2G
determine the reasonableness of a
solution to a problem. Supporting
Standard
45 Use the information given to determine a reasonable
estimate of the total amount of money the math team
will need for the 2-daytrip.
Patterns, relationships, and algebraic thinking. The student solves problems involving direct proportional relationships.
The student is expected to
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TEKS
Question Stems
7.3A
estimate and find solutions to
9 Given 250 sheep in a flock, 34% are white. What is the total
application problems involving percent; number of white sheep in the flock?
and Readiness Standard
20 Given 40 people made 3 cakes each 15% of these cakes were
chocolate, how many chocolate cakes were made for the bake
sale?
40 Given Carrie missed 9.6% of the problems on a 125 problem
test, which of the following is the best estimate of the number
of problems Carrie missed?
7.3B
estimate and find solutions to
application problems involving
proportional relationships such as
similarity, scaling, unit costs, and related
measurement units. Readiness Standard
13 At a rate of 3 cups of strawberries to 1 ½ cups of yogurt, how
much yogurt should be used if 2 cups of strawberries are used?
38 At a rate of 6 hot dogs for $6.72, how much would 8 hot
dogs cost, in dollars and cents?
53. How many gallons are equivalent to 72 pints?
Patterns, relationships, and algebraic thinking. The student represents a relationship in numerical, geometric, verbal,
and symbolic form. The student is expected to
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TEKS
Question Stems
7.4A
generate formulas involving unit
43 Which equation can be used to determine A, the area of the
conversions within the same system
unshaded part of the figure in square inches?
(customary and metric), perimeter, area,
circumference, volume, and scaling;
Supporting Standard
7.4B
graph data to demonstrate relationships 31 Using a scale in which 0.25 inch represents 2 feet, which
Grade 7 Math STAAR 2013
in familiar concepts such as conversions, graph shows this relationship?
perimeter, area, circumference, volume,
and scaling; and Supporting Standard
7.4C
use words and symbols to describe the
7 Which arithmetic sequence is represented by the expression
relationship between the terms in an
31n + 1, where n represents the position of a term in the
arithmetic sequence (with a constant
sequence?
rate of change) and their positions in the
sequence. Supporting Standard
Patterns, relationships, and algebraic thinking. The student uses equations to solve problems. The student is expected
to
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TEKS
Question Stems
7.5A
use [concrete and] pictorial models to
29 If the model represents x + 4 =4x + 2, what value of x makes
solve equations and use symbols to
the equation true?
record the actions; and Supporting
Standard
7.5B
formulate problem situations when
2 Which equation can be used to find w, the weight of
given a simple equation and formulate
Carmen’s pet rabbit?
an equation when given a problem
situation. Readiness Standard
15 Which equation can be used to find q, the number of
additional quarters Ashton needs in order to have enough
money for the car wash?
47 Which situation is best represented by the equation 3x =
288?
Geometry and spatial reasoning. The student compares and classifies two- and three-dimensional figures using
geometric vocabulary and properties. The student is expected to
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TEKS
Question Stems
7.6A
use angle measurements to classify pairs 44 What is the measure, in degrees, of the angle that is
of angles as complementary or
complementary to <W is 37°?
supplementary; Supporting Standard
7.6B
use properties to classify triangles and
quadrilaterals; Supporting Standard
7.6C
use properties to classify threedimensional figures, including pyramids,
cones, prisms, and cylinders; and
Supporting Standard
use critical attributes to define
similarity. Readiness Standard
7.6D
39 Using the list determine which statement describes the
characteristic that the figures have in common.
3 Which line segment corresponds to AC for the similar
triangles?
41 Which statement must be true for triangle QRS and triangle
WXY if they are similar?
Geometry and spatial reasoning. The student uses coordinate geometry to describe location on a plane. The student is
Grade 7 Math STAAR 2013
expected to
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TEKS
7.7A
locate and name points on a coordinate
plane using ordered pairs of integers;
and Supporting Standard
7.7B
graph reflections across the horizontal
or vertical axis and graph translations on
a coordinate plane. Readiness Standard
Question Stems
1 Using the given grid, which ordered pair represents a point on
Verlonda’s route?
12 Triangle EFG is shown on the grid below. If triangle EFG is
reflected across the y-axis to form triangle E’F’G’, which
ordered pair represents the coordinates of F’?
24 Given a triangle has the vertices of (−15,), (−41,), and (,−36),
which grid represents the result of reflecting the triangle across
the x-axis?
52 Which of the following shows the figure TUVW translated 3
units up and 2 units to the right to form the image T’U’V’W’?
Geometry and spatial reasoning. The student uses geometry to model and describe the physical world. The student is
expected to
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TEKS
Question Stems
7.8A
sketch three-dimensional figures when
54 Given a diagram, which three-dimensional figure is
given the top, side, and front views;
represented by these views?
Supporting Standard
7.8B
make a net (two-dimensional model) of
19 Which net can be folded to form a hexagonal prism?
the surface area of a three-dimensional
figure; and Supporting Standard
7.8C
use geometric concepts and properties
to solve problems in fields such as art
and architecture. Supporting Standard
Measurement. The student solves application problems involving estimation and measurement. The student is
expected to
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TEKS
Question Stems
7.9A
estimate measurements and solve
10 Given a diagram, which of these is closest to the total area
application problems involving length
covered by the blade when the turbine makes 1 revolution?
(including perimeter and circumference)
and area of polygons and other shapes;
22 Which of the following is closest to the area of the shaded
Readiness Standard
rectangles of the figure when measured to the nearest
centimeter?
42 Which of these is closest to the circumference of the coin
when the diameter is measured to the nearest tenth of a
centimeter?
Grade 7 Math STAAR 2013
7.9B
connect models for volume of prisms
(triangular and rectangular) and
cylinders to formulas of prisms
(triangular and rectangular) and
cylinders; and Supporting Standard
28 Using the formula for the volume of a triangular prism
determine which equation can be used to find B, the area of the
shaded base in square centimeters?
49 Which equation can be used to find B, the area of this
cylinder’s base in square centimeters when an object has a
height of 9 centimeters and a diameter of 6.5 centimeters?
7.9C
estimate measurements and solve
application problems involving volume
of prisms (rectangular and triangular)
and cylinders. Readiness Standard
4 Given a storage trunk is a rectangular prism and it has the
volume of 18 cubic feet, the length of 6 feet, and the width of 2
feet, what is the height of this trunk?
17 Which of the following is the best estimate of the volume of
the display case in cubic inches?
36 Which of these is the best estimate of the volume of a water
dispenser if a cylindrical water dispenser has a radius of 7
inches and a height of 20 inches?
Probability and statistics. The student recognizes that a physical or mathematical model (including geometric) can be
used to describe the experimental and theoretical probability of real-life events. The student is expected to
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TEKS
Question Stems
7.10A
construct sample spaces for simple or
34 Which list shows all the possible outcomes of 2 different
composite experiments; and Supporting side dishes from this list?
Standard
7.10B
find the probability of independent
14 Given a regular number cube, what is the probability that
events. Supporting Standard
the green cube will land with an even number face up and the
white cube will land with a number greater than 2 face up?
Probability and statistics. The student understands that the way a set of data is displayed influences its interpretation.
The student is expected to
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TEKS
Question Stems
7.11A
select and use an appropriate
11 Which Venn diagram best represents the pet survey results?
representation for presenting and
displaying relationships among collected
data, including line plot, line graph, bar
graph, stem and leaf plot, circle graph,
and Venn diagrams, and justify the
selection; and Supporting Standard
7.11B
make inferences and convincing
6 Given the number of minutes Melissa ran each day during
arguments based on an analysis of given three weeks, which statement is best supported by the data in
or collected data. Readiness Standard
the table?
Grade 7 Math STAAR 2013
27 Which statement is best supported by the information in the
graph?
46 Which statement is best supported by the information in the
graph?
Probability and statistics. The student uses measures of central tendency and variability to describe a set of data. The
student is expected to
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TEKS
Question Stems
7.12A
describe a set of data using mean,
32 Given a table of data, what is the mean number of cotton
median, mode, and range; and
bales imported from these countries, in thousands?
Supporting Standard
7.12B
choose among mean, median, mode, or 8 Given a list of data, which two measures of these data best
range to describe a set of data and
describe the typical number of minutes Addison spent reading
justify the choice for a particular
each day?
situation. Readiness Standard
21 Given a list of data, determine the measure of data that best
describes how much these bowling scores varied?
50 Given, Monica recorded the high temperature each day for
one week, which measure of data should Monica report?
Underlying processes and mathematical tools. The student applies Grade 7 mathematics to solve problems connected
to everyday experiences, investigations in other disciplines, and activities in and outside of school. The student is
expected to
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TEKS
Question Stems
7.13A
identify and apply mathematics to
3 Application of everyday life and increased rigor:
everyday experiences, to activities in
Corresponding line segments of similar triangles
and outside of school, with other
disciplines, and with other mathematical 6 Application of society and increased rigor: Total number of
topics;
minutes ran for training
8 Application of everyday life and increased rigor: More than
one measure of central tendency given a data set
13 Application of everyday life and increased rigor: Cooking
with whole numbers and mixed fractions
14 Application of everyday life and increased rigor: Probability
with two number cubes
16 Application of society and increased rigor: Making change
when buying products
Grade 7 Math STAAR 2013
25 Application of society and increased rigor: A fractional
number of pounds of food divided into containers
37 Application of everyday life and increased rigor: Difference in
fractional amounts of height over time
38 Application of everyday life and increased rigor: Rate of cost
versus hot dogs
53 Application of everyday life and increased rigor: Equivalent
customary measurements
7.13B
use a problem-solving model that
incorporates understanding the
problem, making a plan, carrying out the
plan, and evaluating the solution for
reasonableness;
9 Given a total and percentage determine the number for the
percentage using the four-step process
10 Given a diagram determine total area covered using the
four-step process
17 Given a diagram determine the best estimate of volume in
cubic inches using the four-step process
20 Given a scenario determine how many chocolate cakes were
made using the four-step process
40 Given a scenario determine the best estimate of problems
missed on a test using the four-step process
45 Given a scenario determine the total amount of money
needed for a 2-day trip using the four-step process
7.13C
7.13D
select or develop an appropriate
problem-solving strategy from a variety
of different types, including drawing a
picture, looking for a pattern, systematic
guessing and checking, acting it out,
making a table, working a simpler
problem, or working backwards to solve
a problem; and
select tools such as real objects,
manipulatives, paper/pencil, and
technology or techniques such as mental
math, estimation, and number sense to
solve problems.
34 Find a strategy to determine all possible outcomes of a given
scenario
36 Find a strategy to determine the volume of a cylindrical
dispenser given the measurements
1 Select the appropriate tool or technique to determine which
ordered air represents a given point on a route
Grade 7 Math STAAR 2013
12 Select the appropriate tool or technique to determine which
ordered pair is correct for a reflected triangle across the y-axis
22 Select the appropriate tool (such as a ruler) or technique to
determine the area of the shaded rectangles of a given figure
24 Select the appropriate tool or technique to determine which
grid represents a reflected triangle across the x-axis given a
triangles order pair for each vertex
42 Select the appropriate tool (such as a ruler) or technique to
determine the circumference of a given coin
52 Select the appropriate tool or technique determine which
grid is translated a given amount from the original
Underlying processes and mathematical tools. The student communicates about Grade 7 mathematics through
informal and mathematical language, representations, and models. The student is expected to
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TEKS
Question Stems
7.14A
communicate mathematical ideas using 7 Use reasoning and the implications of mathematical ideas and
language, efficient tools, appropriate
reasoning: Utilizing the given expression to determine the
units, and graphical, numerical, physical, correct arithmetic sequence
or algebraic mathematical models.
21 Use reasoning and the implications of mathematical ideas
and reasoning: Utilizing the given scores to determine the best
measure of central tendency
28 Use reasoning and the implications of mathematical ideas
and reasoning: Utilizing the given pictorial model and
information determine the appropriate volume equation using
centimeters
29 Use reasoning and the implications of mathematical ideas
and reasoning: Utilizing the given equation and model
determine the value of x to make the equation true
30 Use reasoning and the implications of mathematical ideas
and reasoning: Utilizing the given model determine the
expression that represents the side length in units
31 Use reasoning and the implications of mathematical ideas
and reasoning: Utilizing the given scale of inches to feet
determine the corresponding graph
Grade 7 Math STAAR 2013
33 Use reasoning and the implications of mathematical ideas
and reasoning: Utilizing the given information determine the
appropriate method for finding the total
43 Use reasoning and the implications of mathematical ideas
and reasoning: Utilizing the given diagram determine which
equation can be used to find the area of the unshaded part of
the figure in square inches
49 Use reasoning and the implications of mathematical ideas
and reasoning: Utilizing the given diagram determine the
equation for the volume of a cylinder in centimeters
54 Use reasoning and the implications of mathematical ideas
and reasoning: Utilizing the given pictorial models of top, front,
and right-side views determine which three-dimensional figure
is represented
Underlying processes and mathematical tools. The student uses logical reasoning to make conjectures and verify
conclusions. The student is expected to
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TEKS
Question Stems
make conjectures from patterns or sets of 39 Analyze relationships and form connections through the use
7.15A
examples and non-examples; and
of finding common characteristic of 3-Dimensional figures
7.15B
validate his/her conclusions using
mathematical properties and
relationships.
3 Using mathematical ideas and arguments, validate
corresponding line segments for similar triangular figures
5 Using mathematical ideas and arguments, validate the total
number of puzzles completed with the process for solving given
a total of 65 puzzles where 2/5 of the puzzles plus 13 more
puzzles have been completed
27 Using mathematical ideas and arguments, validate the best
supporting statement for a given graph
41 Using mathematical ideas and arguments, validate which
statement is true given a pictorial model of similar triangles
46 Using mathematical ideas and arguments, validate which
statement is best supported by a given graph
50 Using mathematical ideas and arguments, validate the
chosen measure of central tendency given a set of information
51 Using mathematical ideas and arguments, validate number
of quarts of paint and show the solution when given
information and a pricing table
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