Update on staar mathematics

UPDATE ON
STAAR MATHEMATICS
Julie Guthrie
Director of Math and Science Assessments
Student Assessment Division
Texas Education Agency
Texas Education Agency
Student Assessment Division
October 2016
2
GRIDDABLE QUESTIONS
3
GRIDDABLE QUESTIONS
• STAAR mathematics assessments use a type of open-ended
question known as a griddable question.
• The purpose of griddable questions is to provide students
opportunities to derive answers independently without
being influenced by answer choices provided with the
questions.
• Griddable Questions for Mathematics
Texas Education Agency
Student Assessment Division
October 2016
4
GRIDDABLE QUESTIONS
• Griddable questions sometimes have a higher omit rate
than multiple-choice questions.
• Data for griddable questions includes correct, incorrect,
and omit.
• As part of the incorrect response, TEA reviews the top 5
incorrect answers.
Texas Education Agency
Student Assessment Division
October 2016
5
GRIDDABLE QUESTIONS FOR
STAAR GRADES 3–5 MATH
• There are three griddable questions on each assessment.
• The correct answer will be a positive number.
• The answer grids include a fixed decimal point.
• Students must enter their answer in the correct columns with
respect to the fixed decimal point.
Texas Education Agency
Student Assessment Division
October 2016
6
GRIDDABLE QUESTIONS FOR
STAAR GRADES 3–5 MATH
• Students must enter their answer in the boxes (paper and online)
and then fill in the corresponding bubbles (paper only).
• Students do not have to use all the boxes.
• Extra zeros may be filled in (either before or after the answer) as
long as their placement does not affect the value of the answer.
Texas Education Agency
Student Assessment Division
October 2016
Texas Education Agency
Student Assessment Division
October 2016
PAPER
7
GRADE 3
ONLINE
8
2016 STAAR GRADE 3 MATH
GRIDDABLE QUESTIONS
11) Felicia started placing square tiles
inside a rectangle, as shown in the
diagram. Each square tile has a side length
of 1 cm.
She continued placing square tiles without
any overlaps to cover the rectangle. What
is the area of the rectangle in square
centimeters.
3.6C — area of rectangle
68% correct answer → 28
31% incorrect including 6% → 10 and 4% → 18
Texas Education Agency
Student Assessment Division
October 2016
9
2016 STAAR GRADE 3 MATH
GRIDDABLE QUESTIONS
23) The graph below shows the number of pounds
of plastic the Keller family recycled for five
months.
Based on the graph, how many more pounds of
plastic did the family recycle in July than in April?
3.8B — one-step with pictograph
50% correct answer → 60
50% incorrect including 6% → 40 and 4% → 220
Texas Education Agency
Student Assessment Division
October 2016
10
2016 STAAR GRADE 3 MATH
GRIDDABLE QUESTIONS
35) Adyssen started with $87 in her bank account. She put $213 into her
account last week and another $137 this week. What is the total amount
Adyssen now has in her bank account?
3.4A — two-step problem with addition
67% correct answer → 437
32% incorrect including 4% → 350 and 3% → 427
Texas Education Agency
Student Assessment Division
October 2016
Texas Education Agency
Student Assessment Division
October 2016
PAPER
11
GRADE 4
ONLINE
12
2016 STAAR GRADE 4 MATH
GRIDDABLE QUESTIONS
13) The frequency table shows the favorite
school lunches of some students. The table
is missing the information for the number of
students who chose a hamburger.
The number of students who chose a
hamburger is half the number of students
who chose pizza. How many students
chose a hamburger or chicken as their
favorite school lunch?
4.9B — two-step using frequency table
30% correct answer → 29
70% incorrect including 28% → 16 and 7% → 19
Texas Education Agency
Student Assessment Division
October 2016
13
2016 STAAR GRADE 4 MATH
GRIDDABLE QUESTIONS
26) The distance between Henry’s house and his school is 648 feet. How many
yards are equivalent to 648 feet?
4.8B — convert measurements
49% correct answer → 216
50% incorrect including 2% → 648 and 2% → 129.6
Texas Education Agency
Student Assessment Division
October 2016
14
2016 STAAR GRADE 4 MATH
GRIDDABLE QUESTIONS
34) Jana bought 1 hat and 2 skirts. The hat cost $28.53, and the skirts cost
$15.88 each. What was the total cost in dollars and cents of the items Jana
bought?
4.4A — add whole numbers and decimals
43% correct answer → 60.29
57% incorrect including 28% → 44.41 and 1% → 31.76
Texas Education Agency
Student Assessment Division
October 2016
Texas Education Agency
Student Assessment Division
October 2016
PAPER
15
GRADE 5
ONLINE
16
MARCH 2016 STAAR GRADE 5
MATH GRIDDABLE QUESTIONS
12) Raymond used 42 cubes to build the first layer of a rectangular prism. The
edge length of each cube was 1 inch. The finished prism had a total of 7
layers. What is the volume of Raymond’s prism in cubic inches?
5.6B — determine volume
70% correct answer → 294
29% incorrect including 3% → 6 and 2% → 2.94
Texas Education Agency
Student Assessment Division
October 2016
17
MARCH 2016 STAAR GRADE 5
MATH GRIDDABLE QUESTIONS
25) At a clothing store, Zoey bought 2 shirts for $7.25 each and 2 pairs of jeans
for $24 each. She used a coupon for $10 off the total price of the clothes. The
discounted price of the clothes Zoey bought can be found using this
expression.
[2(7.25) + 2 (24)] – 10
What is the discounted price in dollars and cents of the clothes Zoey bought?
5.4F — simplify numerical expression
50% correct answer → 52.50
50% incorrect including 5% → 14.88 and 4% → 62.50
Texas Education Agency
Student Assessment Division
October 2016
18
MARCH 2016 STAAR GRADE 5
MATH GRIDDABLE QUESTIONS
37) Amy cut 32 feet of chain into pieces that were each ¼ ft long. How many
of these pieces did Amy have after cutting the chain?
5.3L — dividing by fraction
44% correct answer → 128
56% incorrect including 19% → 8 and 2% → 32
Texas Education Agency
Student Assessment Division
October 2016
19
GRIDDABLE QUESTIONS FOR
STAAR GRADES 6–8 MATH
• There are four griddable questions on each assessment.
• The correct answer can be a positive or a negative number. If
the answer is a negative number, students must enter a negative
sign. If no sign is marked, the answer will default to a positive
number.
• The answer grids include a fixed decimal point.
• Students must enter their answer in the correct columns with
respect to the fixed decimal point.
Texas Education Agency
Student Assessment Division
October 2016
20
GRIDDABLE QUESTIONS FOR
STAAR GRADES 6–8 MATH
• Students must enter their answer in the boxes (paper and online)
and then fill in the corresponding bubbles (paper only).
• Students do not have to use all the boxes.
• Extra zeros may be filled in (either before or after the answer) as
long as their placement does not affect the value of the answer.
Texas Education Agency
Student Assessment Division
October 2016
Texas Education Agency
Student Assessment Division
October 2016
21
PAPER
GRADE 6
ONLINE
22
2016 STAAR GRADE 6 MATH
GRIDDABLE QUESTIONS
16) In triangle FGH shown below, what is the measure of <F in degrees?
6.8A — sum of angles in triangle
38% correct answer → 19.5
61% incorrect including 7% → 20.5 and 3% → 20
Texas Education Agency
Student Assessment Division
October 2016
23
2016 STAAR GRADE 6 MATH
GRIDDABLE QUESTIONS
30) A teacher wrote this expression on the board.
(-6)(2) + (-8 ÷ 4)
What is the value of this expression?
6.3D — perform operations with integers
42% correct answer → -14
58% incorrect including 11% → 14 and 6% → -16
Texas Education Agency
Student Assessment Division
October 2016
24
2016 STAAR GRADE 6 MATH
GRIDDABLE QUESTIONS
36) Before Nina bought groceries on April 22, she had a balance of $487.25 in her
checking account. Nina wrote her transactions in her check register. She included
all her transactions through the end of the day on April 23.
Based on the transactions in Nina’s check register, what is the balance in dollars
and cents in her checking account at the end of the day on April 23?
6.14C — balance a check register
49% correct answer → 429.75
50% incorrect including 7% → 399.75 and 3% → 414.75
Texas Education Agency
Student Assessment Division
October 2016
25
2016 STAAR GRADE 6 MATH
GRIDDABLE QUESTIONS
42) A restaurant offered cooking classes on 24 of the 30 days in November.
What decimal is equivalent to the fraction of days in November that classes
were offered at the restaurant?
6.4G — equivalent fractions and decimal
40% correct answer → 0.8
60% incorrect including 7% → 0.24 and 3% → 80
Texas Education Agency
Student Assessment Division
October 2016
Texas Education Agency
Student Assessment Division
October 2016
26
PAPER
GRADE 7
ONLINE
27
2016 STAAR GRADE 7 MATH
GRIDDABLE QUESTIONS
18) Corbin made a scale model of the San Jacinto Monument. The monument
has an actual height of 604 feet. Corbin’s model used a scale in which 1 inch
represents 100 feet. What is the height in inches of Corbin’s model?
7.5C — solve problems involving scale models
45% correct answer → 6.04
54% incorrect including 18% → 6.4 and 9% → 6
Texas Education Agency
Student Assessment Division
October 2016
28
2016 STAAR GRADE 7 MATH
GRIDDABLE QUESTIONS
32) At an assembly 7 out of the first 10 students who entered the gym were
carrying a backpack. Based on this information, if 700 students were at the
assembly, how many students could be expected to be carrying a
backpack?
7.6C — make prediction using experimental data
45% correct answer → 490
55% incorrect including 9% → 70 and 5% → 400
Texas Education Agency
Student Assessment Division
October 2016
29
2016 STAAR GRADE 7 MATH
GRIDDABLE QUESTIONS
38) A refrigerator is priced at $525.50. There is a 6% sales tax rate. What is the
sales tax for the refrigerator in dollars and cents?
7.13A — calculate sales tax
36% correct answer → 31.53
63% incorrect including 5% → 3153 and 4% → 315.3
Texas Education Agency
Student Assessment Division
October 2016
30
2016 STAAR GRADE 7 MATH
GRIDDABLE QUESTIONS
44) What is the value of x in this equation?
2x + 2 = -52
7.11A — solve equation
38% correct answer → -27
62% incorrect including 18% → -25 and 8% → 25
Texas Education Agency
Student Assessment Division
October 2016
Texas Education Agency
Student Assessment Division
October 2016
31
PAPER
GRADE 8
ONLINE
32
MARCH 2016 STAAR GRADE 8
MATH GRIDDABLE QUESTIONS
15) The set designer for a play painted some
background scenery on a large piece of
plywood. He used a 13-foot-long pole to hold
the piece of plywood upright, as shown in
the diagram below.
What is h, the total height in feet of the piece
of plywood?
8.7C — Pythagorean theorem
27% correct answer → 14
72% incorrect including 17% → 12 and 13% → 15
Texas Education Agency
Student Assessment Division
October 2016
33
MARCH 2016 STAAR GRADE 8
MATH GRIDDABLE QUESTIONS
31) The model represents an equation.
What value of x makes the equation true?
8.8C — model and solve equations
31% correct answer → 2.25
68% incorrect including 13% → 2 and 7% → 1
Texas Education Agency
Student Assessment Division
October 2016
34
MARCH 2016 STAAR GRADE 8
MATH GRIDDABLE QUESTIONS
39) The graph of a linear function is shown on
the coordinate grid.
What is the y-intercept of the graph of the
linear function?
8.4C — determine the y-intercept
57% correct answer → -6
42% incorrect including 5% → -3 and 5% → 6
Texas Education Agency
Student Assessment Division
October 2016
35
MARCH 2016 STAAR GRADE 8
MATH GRIDDABLE QUESTIONS
45) A rectangular prism and its dimensions are shown in the diagram.
What is the total surface area of this rectangular prism in square inches?
8.7B — determine surface area
31% correct answer → 102.16
68% incorrect including 6% → 55.76 and 3% → 23.2
Texas Education Agency
Student Assessment Division
October 2016
36
GRIDDABLE QUESTIONS FOR
STAAR ALGEBRA I
• There are five griddable questions on each assessment.
• The correct answer can be a positive or a negative number. If
the answer is a negative number, students must enter a negative
sign. If no sign is marked, the answer will default to a positive
number.
• The answer grid includes a floating decimal point. If the answer is
a decimal number, students must enter a decimal point.
Texas Education Agency
Student Assessment Division
October 2016
37
GRIDDABLE QUESTIONS FOR
STAAR ALGEBRA I
• Students must enter their answer in the boxes (paper and online)
and then fill in the corresponding bubbles (paper only).
• Students do not have to use all the boxes and can place their
answer in any set of consecutive boxes.
• Extra zeros may be filled in (either before or after the answer) as
long as their placement does not affect the value of the answer.
Texas Education Agency
Student Assessment Division
October 2016
Texas Education Agency
Student Assessment Division
October 2016
38
PAPER
ALGEBRA I
ONLINE
39
MAY 2016 STAAR ALGEBRA I
GRIDDABLE QUESTIONS
14) What is the y-intercept of the line
graphed on the grid?
A.3C — identify y-intercept
68% correct answer → 5.5
32% incorrect including 5% → 6 and 5% → 7
Texas Education Agency
Student Assessment Division
October 2016
40
MAY 2016 STAAR ALGEBRA I
GRIDDABLE QUESTIONS
20) A manager purchased a total of 21 coffee mugs and key chains. Each
coffee mug cost $8.50, and each key chain cost $2.75. If the manager spent a
total of $132.50, how many coffee mugs did the manager purchase?
A.5C — solve systems of equations
47% correct answer → 13
52% incorrect including 10% → 15 and 5% → 12
Texas Education Agency
Student Assessment Division
October 2016
41
MAY 2016 STAAR ALGEBRA I
GRIDDABLE QUESTIONS
27) Given f(x) = 6(1 – x), what is the value of f(-8)?
A.12B — evaluate functions
44% correct answer → 54
55% incorrect including 10% → -42 and 3% → -8
Texas Education Agency
Student Assessment Division
October 2016
42
MAY 2016 STAAR ALGEBRA I
GRIDDABLE QUESTIONS
34) The graph of quadratic function g is shown
on the grid. The coordinates of the x-intercepts,
the y-intercept, and the vertex are integers.
What is the maximum value of g?
A.7A — identify the maximum value
75% correct answer → 9
24% incorrect including 5% → 2 and 5% → 8
Texas Education Agency
Student Assessment Division
October 2016
43
MAY 2016 STAAR ALGEBRA I
GRIDDABLE QUESTIONS
42) In an electrical circuit, the voltage across a resistor is directly proportional
to the current running through the resistor. If a current of 12 amps produces
480 volts across a resistor, how many volts would a current of 1.5 amps
produce across an identical resistor?
A.2D — write and solve equations involving direct variation
58% correct answer → 60
40% incorrect including 5% → 320 and 2% → 40
Texas Education Agency
Student Assessment Division
October 2016
44
IF YOU HAVE QUESTIONS…
Call TEA Student Assessment at 512-463-9536
Email TEA Student Assessment at [email protected]
Email TEA Student Assessment Math Team at [email protected]
• Julie Guthrie, Director of Math and Science Assessments
• Lenny Sanchez, Manager of Math Assessments
• Carrie Alexander
• Donna Fontenot
• Karen Grad
• Anne Nappa
• Erik Pinter
Texas Education Agency
Student Assessment Division
October 2016