Spring 2013 North Carolina Measures of Student Learning: NC’s Common Exams Sample Items Public Schools of North Carolina State Board of Education Department of Public Instruction Raleigh, North Carolina 27699-6314 Copyright ã 2013 by the North Carolina Department of Public Instruction. All rights reserved. GRADE 4 SOCIAL STUDIES Sample Questions S1 S2 What is the purpose of North Carolina state symbols, such as the cardinal, the dogwood flower, the folk dance, and the state flag? A to represent the cultural heritage and natural treasures of the state B to highlight patriotism, unity, and loyalty between the state and the nation C to increase the tourist income of the state D to attract immigrants to the state Give two examples of historical sites around North Carolina and explain why each example is important to the history of the state. Be sure your answer includes two of the following three types of historic sites: a building, a landmark, or a monument. 1 GRADE 5 SOCIAL STUDIES Sample Questions S1 North American Indian and European Explorers Timeline 1528 – Spanish Explorer de Vaca wrote, “We were attacked by many Indians from behind trees.” 1607 – American Indians taught Europeans to grow maize, beans, and squash 1621 – One of the first treaties between colonists and American Indians was signed. 1838 – Trail of Tears: President Jackson sent federal troops to forcibly remove almost 16,000 Cherokee Indians who had refused to move westward. What does the timeline suggest about the relationship between European explorers and American Indians? S2 A American Indians and explorers struggled to share the land. B American Indians helped the colonists establish territories in the West. C European explorers helped American Indian groups govern their tribes with democratic government. D European explorers and American Indians became enemies at the time the explorers first came to America. Select two ways in which the physical environment affected colonial settlement in North America. Be sure to give at least two examples to support your answers. 2 GRADE 6 SOCIAL STUDIES Sample Questions S1 Our form of government does not enter into rivalry with the institutions of others. We do not copy our neighbors, but are an example to them. It is true . . . the administration is in the hands of the many and not of the few. Pericles, statesman, 5th century B.C. Which form of government does this quote describe? S2 A monarchy B oligarchy C theocracy D democracy Select an event or issue from the past that is similar to an event or issue that is happening today. Give one example of how that event or issue is similar to what is happening today, and give one example of how that event differs from what is happening today. 3 GRADE 7 SOCIAL STUDIES Sample Questions S1 TIMELINE OF DEMOCRACY 500 BCE –Democratic principles were practiced by the governments of Greece and Rome. 1100s – Democracy was practiced in Italy. 1500s – Democracy gained acceptance during the Protestant Reformation. 1700s – England’s limited democracy spread to the American colonies. 1940s – West German and Japanese governments began democratic practices. 1970s – Portuguese and Spanish governments began to practice democracy. Which statement is consistent with information in the timeline about democracy? S2 A Democratic principles spread throughout the world. B Democratic principles began in the United States. C Democratic principles spread through North American colonies. D Democratic principles began to be seen in civilizations in the 1100s. Economic Systems • traditional • command • market • mixed Summarize one major feature that distinguishes each economic system. 4 GRADE 8 SOCIAL STUDIES Sample Questions S1 S2 Which of the following best explains the impact of desegregation on North Carolina and the United States? A It led to an expansion of individual civil rights and increased social tensions. B It led to the end of the Civil Rights Movement. C It led to economic improvement, creating equality among all social classes. D It led to a decline in political opportunities for all Americans. Identify three different immigrant populations that have settled in North Carolina from the pre-colonial era to the present day. Give one example of how each population contributed to the cultural development of North Carolina. 5 Key Check Grade 4 Social Studies QID ItemID Key Stand DOK CK TS Type 1 12632 C 4.H.2.1 2, 2 MC 2 10096 X 4.H.2.2 2, 2 CR SelID Cat Constructed Response Key Score No response or the response does not address the prompt 0 Score Fulfills only 1 of the 4 requirements of a level 4 performance 1 Score Fulfills 2 of 4 requirements of a level 4 performance 2 Score 3 - Fulfills 3 of 4 requirements of a level 4 performance Score 4 - Gives one example of either a building, landmark, or monument Score historical site around North Carolina; explains the importance of the 3 building, landmark, or monument to the history of North Carolina; gives a second example of a building, landmark, or monument historical site around North Carolina; explains the importance of the second building, landmark, or monument to the history of North Carolina Key Check Grade 5 Social Studies QID ItemID Key Stand DOK CK TS Type 1 10010 A 5.H.1.1 5, 2 MC 2 12901 X 5.G.1.1 2, 2 CR SelID Cat Constructed Response Key Score 0 No response or the response does not address the prompt Score 1 Fulfills only 1 of 2 requirements of a level 2 performance Score 2 Gives one example of how the physical environment affected early colonial settlement in North America; gives a second example of how the physical environment affected early settlement of the American colonies Key Check Grade 6 Social Studies QID ItemID Key Stand DOK CK TS Type 1 11151 D 6.C&G.1.1 2, 2 MC 2 12490 X 6.H.2.2 2, 2 CR SelID Cat Constructed Response Key Score 0 No response or the response does not address the prompt Score 1 Fulfills only 1 requirement of a level 2 performance Score 2 Gives one example of how an issue from the past and a present-day issue are similar; gives one example of how an issue from the past and a present-day issue are different Key Check Grade 7 Social Studies QID ItemID Key Stand DOK CK TS Type 1 12847 A 7.C&G.1.2 5, 2 MC 2 10135 X 7.E.1.3 2, 2 CR SelID Cat Constructed Response Key Score No response or the response does not address the prompt 0 Score Fulfills only 1 of 4 requirements of a level 4 performance 1 Score Fulfills 2 of 4 requirements of a level 4 performance 2 Score 3: Fulfills 3 of 4 requirements of a level 4 performance Score Score 4: Summarizes one major feature of mixed economies; summarizes one major feature of market economies; summarizes one 3 major feature of command economies; summarizes one major feature of traditional economies Key Check Grade 8 Social Studies QID ItemID Key Stand DOK CK TS Type 1 11858 D 8.H.2.1 2, 2 MC 2 12849 X 8.H.3.1 2, 2 CR SelID Constructed Response Key Score No response or the response does not address the prompt 0 Score Fulfills only 1 of 3 requirements of a level 3 performance 1 Score Fulfills 2 of 3 requirements of a level 3 performance 2 Gives an example of how one immigrant group has contributed to the cultural development of North Carolina; gives an example of how a Score second immigrant group has contributed to the cultural development 3 of North Carolina; gives an example of how a third immigrant group has contributed to the cultural development of North Carolina Cat GRADE 4 SCIENCE Sample Questions S1 S2 Why can people see the moon at night? A Light is refracted by the moon. B Light is produced by the moon. C Light is reflected by the moon. D Light is absorbed by the moon. Maxine tested the hardness of three different minerals. She scratched each item with her fingernail, a copper penny, and a glass plate. The chart shows the test results. Hardness Test Results Mineral scratched with a fingernail scratched with a copper penny scratched with a glass plate X no yes yes Y yes yes yes Z no no yes Which mineral is the softest? Explain your answer. 6 GRADE 6 SCIENCE Sample Questions S1 S2 A plant is placed on a windowsill facing the sun. After a week, the plant is rotated away from the sun. How will the plant most likely respond? A The plant will bend toward the window, because the sun is a positive stimulus. B The plant will bend away from the window, because the sun is a positive stimulus. C The plant will bend toward the window, because the sun is a negative stimulus. D The plant will bend away from the window, because the sun is a negative stimulus. Soil composition is important. • What is one contributing factor for why soil composition can vary from one location to another? Explain your answer. 7 GRADE 7 SCIENCE Sample Questions S1 S2 Which best describes the function of the circulatory system? A It exchanges gases into and out of the body. B It absorbs nutrients from food consumed by the body. C It transports oxygen and nutrients throughout the body. D It removes waste products from the body. Paramecium and Euglena are both single-celled organisms. • How do Euglena get their nutrition? • Describe how the process of getting food is similar or different for Paramecium. 8 Key Check Grade 4 Science QID ItemID Key Stand DOK CK TS Type 1 9930 C 4.P.3.2 1, 1 MC 2 9929 X 4.P.2.2 2, 2 CR SelID Constructed Response Key Score 0 No response or response does not address prompt Score 1 Fulfills only 1 of 2 requirements of a level 2 performance Score 2 Identifies the softest mineral (Mineral Y); provides an explanation as to why the mineral is the softest Cat Key Check Grade 6 Science QID ItemID Key Stand DOK CK TS Type 1 9693 A 6.L.2.2 2, 2 MC 2 12491 X 6.E.2.3 2, 2 CR SelID Constructed Response Key Score 0 No response or the response does not address the prompt Score 1 Fulfills only 1 of 2 requirements of a level 2 performance Score 2 Identifies a contributing factor as to why soil varies from one location to another; provides an explanation for how that contributing factor causes soil to vary Cat Key Check Grade 7 Science QID ItemID Key Stand DOK CK TS Type 1 10062 C 7.L.1.4 2, 2 MC 2 10055 X 7.L.1.1 2, 2 CR SelID Constructed Response Key Score 0 No response or the response does not address the prompt Score 1 Fulfills only 1 of 2 requirements of a level 2 performance Score 2 Describes how Euglena get nutrition; compares the process to Paramecium’s process of obtaining food Cat COMMON CORE ALGEBRA II +– ×÷ Sample Questions S1 If sinβ = 1 and 90° < β < 180°, what is the value of cos β ? 2 A B C − 3 2 − 1 2 1 2 3 2 D S2 P (x) = x 3 + 2x 2 + ax + b, where a and b are real integer constants, has a factor of (x + 1). • Explain what it means for (x + 1) to be a factor of P(x). • If the remainder of the division of P(x) by (x – 2) is 6, what is the value of a + b? • What are the other two factors of P(x)? 9 COMMON CORE GEOMETRY Sample Questions S1 What is the length of RS in the triangle shown below? Q P 60° 5 ft S2 A 8.7 ft B 15.0 ft C 17.3 ft D 20.0 ft 30° S R In the diagram below, points M, Q, and O are collinear, MN ≅ MP , and NO ≅ OP . N Q M P Based on the diagram, write a proof showing that 10 O NQO ≅ PQO. COMMON CORE MATH II Sample Questions S1 S2 Which is true for the graph of the function f(x) when it is transformed by the function g(x) = k • f(x)? A If k > 1, the graph appears to be stretched vertically. B If 0 < k < 1, the graph appears to be stretched vertically. C If k < 0, the graph is reflected over the y-axis. D If k = 1, the function is translated up one unit. An airplane is approaching an airport from due east. The angle of depression of a line of sight to a point at the airport is 32° at an altitude of 8,000 feet. A second airplane is approaching the same airport from due west, with an angle of depression of 27° to the same point at the airport at an altitude of 7,500 feet. • Draw a diagram that depicts the above scenario. Be sure to label all relevant parts. • What is the distance between the two planes? • Which airplane is closer to the airport, and by how much? 11 COMMON CORE MATH III Sample Questions S1 S2 Polynomial p(x) = 2x3 + x2 + ax + b, where a and b are real integer constants, has a factor of (x – 1). If the remainder of the division of p(x) by (x + 3) is − 36 , what is the value of 2a – 5b? A − B − C 3 D 6 6 3 The scores of a test, which are approximately normally distributed and range from 1 to 36, are used by a school in a student’s admission process. In a particular year, the mean score was 18, and the standard deviation was 6. • What percent of students scored less than 6? • What percent of students scored between 12 and 30? • What is the minimum score required for a student to be in the 84th percentile? 12 COMMON CORE INTEGRATED MATH III Sample Questions S1 S2 An electric current alternates sinusoidally with a frequency of 60 cycles per second. At time t = 0.1 seconds, the current is at its maximum of I = 10 amperes. Which function describes I as a function of time, t. A I(t) = 5cos (120 π ( t − 0.1) ) + 5 B I(t) = 5cos π ( t − 0.1) + 5 30 C I(t) = 10cos (120 π ( t − 0.1) ) + 5 D I(t) = 10cos π ( t − 0.1) + 5 30 ( ) ( ) The function f (x) is described by the equation f (x) = 3x + 5 . x −2 • What are the domain and range of f (x)? • What is the inverse of f (x)? • What are the domain and range of the inverse of f (x)? 13 Key Check Common Core Algebra II QID ItemID Key Stand DOK CK TS Type SelID Cat 1 11391 A F.TF.8 2 MC CA 2 10456 X A.APR.2 2 CR CA Constructed Response Key Score 0 No response or the response does not address the prompt Score 1 Fulfills only 1 of 3 requirements of a level 3 performance Score 2 Fulfills 2 of 3 requirements of a level 3 performance Score 3 Explains what it means for (x + 1) to be a factor of P(x); determines the value of a + b for P(x) (–7); determines the other 2 factors of P(x) ( − 1 ± 17 or any equivalent rounded values) 2 Key Check Common Core Geometry QID ItemID Key Stand DOK CK TS Type 1 2032 B G.SRT.8 1 MC 2 9263 X G.CO.10 2 CR SelID Cat CA Constructed Response Key Score No response or the response does not address the prompt 0 Score Fulfills only 1 of 3 requirements of a level 3 performance 1 Score Fulfills 2 of 3 requirements of a level 3 performance 2 Provides a complete proof, which includes logical steps with accurate Score notation and wording of theorems, postulates, etc.; includes relevant, 3 correct statements and reasons; sequences statements logically and aligns reasons accurately to their statements Key Check Common Core Math II QID ItemID Key Stand DOK CK TS Type SelID Cat 1 11604 A F.BF.3 1 MC CA 2 9395 X G.SRT.8 2 CR CA Constructed Response Key Score No response or the response does not address the prompt 0 Score Fulfills only 1 of 3 requirements of a level 3 performance 1 Score Fulfills 2 of 3 requirements of a level 3 performance 2 Provides an accurately drawn and labeled diagram; calculates an accurate value for the distance between the two planes (27,522.25502 ft or any Score equivalent rounded value); determines which plane is closer to the airport 3 and by how much (the plane heading east by 1,916.902559 ft or any equivalent rounded value) Key Check Common Core Math III QID ItemID Key Stand DOK CK TS Type SelID Cat 1 13818 A A.APR.2 1 MC CA 2 10603 X S.ID.4 2 CR CI Constructed Response Key Score No response or the response does not address the prompt 0 Score Fulfills only 1 of 3 requirements of a level 3 performance 1 Score Fulfills 2 of 3 requirements of a level 3 performance 2 Identifies the percentage of students who scored less than 6 for the given year (2.5 % or 2.3% or any equivalent rounded value); identifies the Score percentage of students who scored between 12 and 30 for the given year 3 (81.5% or 81.8% or any equivalent rounded value); identifies the minimum score for a student to be in the 84th percentile for the given year (24 or any equivalent rounded value) Key Check Common Core Integrated Math III QID ItemID Key Stand DOK CK TS Type SelID Cat 1 10990 A F.TF.5 1 MC CA 2 10601 X F.BF.4.a 2 CR CI Constructed Response Key Score No response or the response does not address the prompt 0 Score Fulfills only 1 of 3 requirements of a level 3 performance 1 Score Fulfills 2 of 3 requirements of a level 3 performance 2 Determines the domain and range for f(x) (domain: ( −∞, 2 ) ∪ (2, ∞ ) and 2x + 5 1 − or Score range: ( ∞, 3) ∪ (3, ∞ ) ); identifies the inverse of f (x) (f (x) = x −3 3 any equivalent equation); determines the domain and range for the inverse − of f (x) (domain: ( −∞, 3) ∪ (3, ∞ ) and range: ( −∞, 2 ) ∪ (2, ∞ ) )
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