STUDENT’S LAST NAME STUDENT’S FIRST NAME

HSWM.10P01.PT.indd10P01WM
``````
`
`
`
`
`
`
`
`
`
`
`
`
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec
Month Day Year
TEACHER USE ONLY
Fill in all that apply for each subject. Large Print Braille Modifi ed – Altered Exam No Score Generated Absent Student Refusal Parent Refusal Suspension Invalid No Score Generated
WM
WM
WM
WM
WM
WM
WM
WM
HSGQE Retest
PAGE 21
For an item that is not multiple-choice, you must respond to what is requested, write in English (and/or mathematics symbols when appropriate), and make sure that your responses are readable. No credit will be given to any response that
• • • • • • •
TELEPHONE BILL
500 $30.00
600 $35.00
700 $40.00
The pattern continues. Kelly uses 1,000 minutes. What will be Kelly’s total bill?
A $45.00
B $50.00
C $55.00
D $60.00
SAMPLE QUESTIONS
Sample A
The coordinates on a grid of the location of 2 trees in a park are (3, 9) and (5, 3). What are the coordinates of the midpoint of the line segment joining the 2 trees?
A (2, 6)
B (4, 6)
C (4, 12)
D (8, 12)
Sample C
Jim is making a similar, large rectangle from a small rectangle as shown below.
Small Rectangle
2 inches
12 inches
Large Rectangle
What is the height of the large rectangle? This item is worth 2 points.
Show the work.
MATHEMATICS PRACTICE TEST
1 Travis found the area of a circle using the formula A = π r2. What type of number is π?
A integer
B irrational
C natural
D rational
2 The 3 shapes below are the same size and are regular pentagons.
A
B
C
A 18°
B 36°
C 45°
D 72°
You may use the Mathematics Reference Sheet any time during the test.
PAGE 25
GO ON
3 The bar graph below compares the percent of students in Alaska to the percent of students in the U.S. who played on 1 or more sports teams in a year.
total
female male
SPORTS-TEAM PLAYERS
4 Randy bought a pen on sale. The sale price of the pen was $2.34. The original price of the pen was $3.25. What percent did Randy save by buying the pen on sale?
A 28
B 39
C 72
D 91
5 The table below shows the value of a car during its first 3 years.
VALUE OF CAR
Year Value
0 $21,000
1 $18,500
2 $16,000
3 $13,500
The pattern continues. What will be the value of the car in year 6?
A $1,000
B $3,500
C $6,000
D $8,500
PAGE 27
GO ON
6 The spinner shown below is used in a game.
GAME SPINNER
1
2
3
4
8
7
6
5
Esther spins the spinner 8 times and gets an even number 5 times. Which statement correctly compares the experimental and theoretical probability of getting an even number?
A The experimental probability is the same as the theoretical probability.
B The experimental probability is greater than the theoretical probability by 1 } 8 .
C The experimental probability is less than the theoretical probability by 1 } 8 .
D The experimental probability is greater than the theoretical probability by 1 } 2 .
PAGE 28
GO ON
7 Jenny incorrectly simplified 42 × 43 and got an answer of 166. Explain what Jenny did wrong, and write the correct answer on the line below. This item is worth 2 points.
Answer:
8 A cylinder has a volume of 150 cubic yards. How many cubic feet is this?
A 150 × 3
B 150 × 9
C 150 × 12
D 150 × 27
y
x
A B
Which transformation could be used to show that figure A is congruent to figure B?
A add 5 to each x-coordinate
B multiply each y-coordinate by {1
C multiply each x-coordinate by {1
D rotate the fi gure 90 degrees about the origin
10 Which shows how to find the value of x in the equation 3 Ï }
x = 8?
A 83
11 Which property of multiplication shows that 25 × (4 × 83) = (25 × 4) × 83?
A associative
B commutative
C distributive
D identity
12 The stem and leaf plot below displays information about the number of people who attended the Saturday matinees at Oak Woods Theater for 14 weeks.
3 4 5 6 7
9 5 7 8 1 1 3 5 9 2 2 5 9 9
7 4 = 74 KEY
How many Saturdays had more than 50 people in attendance?
A 5
B 7
C 10
D 13
PAGE 31
GO ON
13 A company logo contains the shape represented by the figure below.
x
y
x
yA
x
yB
x
yC
x
yD
14 The table shows the production of chairs at a furniture factory with respect to the number of weeks from the beginning of the year. This item is worth 4 points.
CHAIR PRODUCTION
3 450
6 900
9 1,350
12 1,800
15 2,250
Write an equation in slope-intercept form ( y = mx + b) that models the situation.
Show the work.
The pattern continues. How many weeks will it take the factory to make 5,250 chairs?
Show the work.
A 3 9 __ 6
B 3 5 __ 2
C 3 6 __ 2
D 3 9 __ 2
16 What number of square meters is the same as 125 square centimeters?
A 0.00125
B 0.0125
C 0.125
D 1.25
PAGE 34
GO ON
y
x
y
x
y
x
y
x
18 A group of friends recorded the time it took to ride their bikes around the park. The scatter plot below shows their results with the line of best fit.
y
BICYCLING AROUND THE PARK
8 9 10
Using the line of best fit, which is closest to the number of minutes it would take to complete 9 laps?
A 4
B 5
C 6
D 7
PAGE 36
19 A gumball machine contains 45 gumballs and 5 prizes. Vanessa puts in a coin and receives an item. She then puts in a second coin and receives another item. What is the probability that she will first get 1 gumball and then get 1 prize?
A 1 } 225
B 9 } 100
C 9 } 98
D 2 } 9
20 The cost of materials needed to make a sail is represented by the equation below where C is the cost and b is the length of the base of the sail.
C = b } 2 + 10
A b = C + 12
B b = C − 12
C b = 2C − 10
D b = 2C − 20
Name
Key
= slant height
Total Surface AreaVolumeShape
1 3 lwh
2 2rh r+ 2
SA =
SA =
SA =
SA =
Triangle
Trapezoid
Parallelogram
Rectangle
Circle
r2A =
A =
A =
A =
A =
d = 2 rC =
In the following formulas, n represents the number of sides: In a polygon, the sum of the measures of the interior angles is equal to 180(n -- 2). In a regular polygon, the measure of an interior angle is equal to 180(n -- 2) n.
Slope-intercept form of an equation of a line, where m = slope and b = the y-intercept:
y mx b + =
Distance, rate, time formula, where d = distance, r = rate, t = time:
d = rt
Midpoint between two points P P1 1 1 2 2 2x y x y and :( , ) ( , )
( )x x2 1+ y y2 1+ 2 2
,
Simple Interest = prt where p = principal, r = rate, t = time
1 yard = 3 feet = 36 inches 1 mile = 1,760 yards = 5,280 feet 1 acre = 43,560 square feet 1 hour = 60 minutes 1 minute = 60 seconds
1 liter = 1,000 milliliters = 1,000 cubic centimeters 1 meter = 100 centimeters = 1,000 millimeters 1 kilometer = 1,000 meters 1 gram = 1,000 milligrams 1 kilogram = 1,000 grams
1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts
1 pound = 16 ounces 1 ton = 2,000 pounds
1 meter = 3.28 feet 1 kilogram = 2.20 pounds
Conversions
Formulas
Alaska Mathematics Standards Reference Sheet
Distance between two points P P1 1 1 2 2 2x y x y and :( , ) ( , )
(x x (y y )2 2
1 2 1-- + -- 2)
x = -- b +-- 2
PAGE 39
Copyright © 2007 by Alaska Department of Education & Early Development. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written permission of the publisher.
Writing Mathematics Practice Test Book
Grade 10 SBA–HSGQE HSGQE Retest
Form 10P01WM
COMPREHENSIVE SYSTEM OF STUDENT ASSESSMENT
(CSSA)
Grade 10 SBA–HSGQE HSGQE Retest
2Mathematics Practice Test Scoring Guide: Grade 10
Mathematics Practice Test Scoring Guide with Answer Keys, Scoring Guidelines, and Sample Papers
General Introduction The Alaska Department of Education and Early Development (EED), in cooperation with Data Recognition Corporation, designed and produced the Alaska Practice Test to support students in doing their best on the Alaska Comprehensive System of Student Assessment, Standards Based Assessments in grade 10. A scoring guide, with answer keys, scoring guidelines, sample student papers, and a test map, provides the teacher with information and tools to score each practice test.
Content A Practice Test Scoring Guide for each grade level and subject area is posted on the EED Website (http://www.eed.state.ak.us/tls/assessment). To access this website, follow these instructions.
Directions to access the AK EED Website
1. Type or copy and paste the link to the Alaska EED Website into your browser. http://www.eed.state.ak.us/tls/assessment
2. Select Standards Based Assessments. 3. Select Item Samplers / Practice Tests. 4. Select the grade-level assessment (or other document) you wish to download. 5. At this point you may save the file to your computer or print the file directly from the website. Printing
from the website can be very time consuming. It is likely you will want to save the file(s) to your computer, then print.
This guide is divided into two sections. Section I includes the answer keys and scoring guidelines (with detailed item-specific scoring rubrics for scoring short and extended constructed-response questions) and sample student papers with annotations for each score point. Section II presents a grade-level test map that lists item sequence, corresponding Grade Level Expectation and/or Performance Standard, and an answer key.
Purpose The passages, stimuli, prompts, graphs, charts, and items included for each content-area practice test were created for use in Alaska classrooms. These materials may be copied and used as part of a local instructional program.* Alaska educators may use the reading, writing, and mathematics practice tests, the Practice Test Administration Directions, and the Practice Test Scoring Guides to support daily instruction in the classroom and to prepare their students for the operational assessments.
Important: The practice tests were developed for usability purposes only, and in no way should the tests or scores students receive be considered a predictor of a student’s ability to perform on the operational assessments. Passages, prompts, stimuli, and items provide samples of what students will see on the operational tests. Items are not necessarily the same in terms of measurement, rigor, or the length of time it takes a student to respond.
*The permission to copy and/or use these materials does not extend to commercial purposes.
3 Mathematics Practice Test Scoring Guide: Grade 10
Item Format The mathematics practice test includes two types of mathematics items: multiple choice and constructed response. Practice test multiple-choice items have four answer options. The correct response to each multiple-choice item is worth one point.
Two types of constructed-response items are presented in the mathematics practice test: short constructed response (SCR) are 2-point items; extended constructed response (ECR) are 4-point items. Item-specific scoring guidelines and examples of responses for each score point are presented with each constructed-response item.
Measurement items are not included in the mathematics practice test because teachers will download the practice tests from the Alaska Education and Early Development Website (http://www.eed.state.ak.us/tls/assessment) and print them on local computers. When printing occurs using local computers, measurement items (that require a ruler) may be scaled differently from the actual figure that appears on the PDF, and true measurement cannot be achieved. Teachers are encouraged, however, to include measurement items on their regular classroom tests.
Scoring Guidelines Following the multiple-choice answer key are general scoring rubrics for 2-point and 4-point constructed- response items. The general scoring rubric includes item-specific guidelines to assist the teacher with scoring constructed-response items.
Sample student papers are included for each short and extended constructed-response score point. An item- specific annotation follows each sample student response. The annotations are designed to provide the teacher with the explanation of why the score point was awarded.
Test Maps The test map presents the sequence of the items, the Grade Level Expectation and/or Performance Standard to which each item is aligned, and the answer key. This at-a-glance chart is designed to assist the teacher with scoring the practice test.
SECTION I: Grade 10 Mathematics Practice Test Answer Keys, Scoring Guidelines, and Sample Student Papers
1. B 2. B 3. D 4. A 5. C 6. B 7. Jenny incorrectly simplified 42 × 43 and got an answer of 166. Explain what Jenny did
wrong, and write the correct answer on the line below. This item is worth 2 points.
Answer:
7. Short Constructed Response
2 3 of 3 parts correct
1 1 or 2 of 3 parts correct OR Some correct and relevant work or explanation
0 Response is incorrect or irrelevant
Explanation of error in bases
Explanation of error in exponents
Correct answer
Problem Solution:
Jenny multiplied the bases. (When multiplying two exponential terms that have the same bases, the base remains the same and not 4 × 4 = 16) or equivalent
Jenny multiplied the exponents. (When multiplying two exponential terms that
have the same bases, one adds the exponents [2 + 3 = 5], not multiplies them) or
equivalent

Item #7 Response Score: 2
Short Constructed Response:
Annotation for score point: 2
Three of 3 parts correct: 1. Correct explanation of error in bases (“She multiplied the two 4s” . . . “the 4 should
remain [unchanged]”) 2. Correct explanation of error in exponents (“. . . multiplied the exponents . . . should be
added”) 3. Correct answer of 45
Two of 3 parts correct: 1. Correct explanation of error in bases (“She multiplied 4 4 . . . and got [base] 16 . . .”) 2. Correct explanation of error in exponents (“She multiplied 2 3 . . . and got
[exponent] 6”) 3. Incorrect answer of 306
No parts correct:
2. No correct explanation
8. D 9. C 10. A 11. A 12. C 13. D 14. The table shows the production of chairs at a furniture factory with respect to the
number of weeks from the beginning of the year. This item is worth 4 points.
CHAIR PRODUCTION
3 450
6 900
9 1,350
12 1,800
15 2,250
Write an equation in slope-intercept form ( y = mx + b) that models the situation.
Show the work.
The pattern continues. How many weeks will it take the factory to make 5,250 chairs?
Show the work.
14. Extended Constructed Response
1
1 of 4 parts correct OR Some correct and relevant work or explanation (e.g., correct value of slope without support and with no work)
0 Response is incorrect or irrelevant
Correct equation
Correct work shown for obtaining the equation
Correct number of weeks or number of weeks based on student’s equation (error carried through if incorrect)
Correct work shown for calculating the number of weeks
Problem Solution:
y = 150x or equivalent (variables may be different but must be an equation)
slope = 900 – 450 } 6 – 3 = 450 } 3 = 150 and 450 = 150 3 + b and 450 – 450 = b = 0
thus, y-intercept = 0 and does not need to be in the equation
35 (weeks) or answer based on an incorrect equation in Part A
5250 } 150 = 35 or equivalent (may see repeated subtractions that account for blocks of
weeks—e.g., 5250 – 2250 = 3000 for 15 weeks, etc.)

Extended Constructed Response:
1. Correct equation (y = 150x + 0)
2. Correct work shown for equation (uses y
} x = m to fi nd slope & substitutes in number of
weeks and chairs to fi nd y-intercept)
3. Correct number of weeks (35)
4. Correct work shown for number of weeks (5,250 = 150x)
Three of 4 parts correct:
1. Correct equation (y = 150x)
2. Insuffi cient work shown for equation (does not address y-intercept)
4. Correct work shown for number of weeks ( 5250 } 150 = 150x } 150 )
2. No correct work shown for equation
4. Correct work shown for number of weeks (5250 × 3 = 15750 and 450 + } 15750 )
1. Incorrect equation (150 = m + b)
2. Incorrect work shown for equation
3. Incorrect number of weeks (35 2 } 3 ) due to calculation error
4. Correct work shown for number of weeks
No parts correct:
15. B 16. B 17. A 18. B 19. C 20. D
SECTION II: Grade 10 Mathematics Test Map
Mathematics
7 N-2 M1.4.4 Short Constructed Response
8 MEA-1 NA D
9 G-4 NA C
10 N-5 NA A
11 N-7 M1.4.7 A
13 G-3 M5.2.3 D
15 E&C-2 NA B
16 MEA-1 NA B
Mathematics Practice Test Scoring Guide Grade 10 SBA–HSGQE
HSGQE Retest
Copyright © 2007 by Alaska Department of Education & Early Development. The materials contained in this publication may be duplicated by Alaska educators for local classroom use. This permission does not extend to the duplication of materials for commercial use.
HSGQE (Math) Test Booklet & Answers
Math Answers

Documents

STUDENT’S LAST NAME STUDENT’S FIRST NAME