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OBJECTIVES: •Review, practice, and secure concepts. •Breakdown the barriers of vocabulary and format. •Analyze data from the District and State. GLCE Designations • Core - content currently taught at the assigned grade level. • Extended Core - content currently taught at the assigned grade level that describes narrower or less dense topics. • Future Core - not currently taught at assigned grade level (but will be with in the next 3-5 years). GLCE Types and Scoring • Item Types – Count towards score – Core - assess Core GLCE (3 questions per GLCE on MEAP test) – Extended Core - assess Extended Core GLCE (Usually only 1 question on MEAP test) – Linking - core items from previous grade test (grades 4-8 only) • Item Types – Do NOT count towards score – Field Test - items used to develop future MEAP assessments – Future Core - items that assess Future Core expectations • Websites MEAP: www.mi.gov/meap – Released items – Guide to MEAP reports – Assessable GLCE information • MI-Access: www.mi.gov/mi-access – Extended GLCE and Benchmarks – Accommodations Information • MI-Access Information Center: www.mi-access.info • Office of School Improvement: www.mi.gov/osi – Michigan Curriculum Framework – Grade Level Content Expectations (GLCE) • Intermediate School Districts and MMLA connections: – www.mscenters.org – see what other districts have already done! – MMLA assessment builder and practice questions – www.jcisd.org (go to general education Math and Science Center Math GLCE and Model Assessments – www.manistee.org (go to general education benchmark assessment project) – www.mictm.org 5 Math Strands on MEAP • Number and Operation • Algebra • Measurement • Geometry • Data and Probability Reading the GLCE Code: N.FL.06.10 Strand (Content Area) Domain (Sub-Content Area like: Fluency or Patterns, etc.) GLCE Number Grade Level Number and Operation The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. N.MR.05.01 Understand the meaning of division of whole numbers with and without remainders; relate division to fractions and to repeated subtraction. (Core) District State 10% 13. Matt has 12 treats to divide evenly among his 3 dogs. Which statement shows how he can do this? A. By breaking half the treats into two pieces, and matching each half-treat with a whole treat. 11% 70% B. By putting aside 2 treats, and then giving each dog 3 treats. C. By grouping the treats into three equal parts 10% D. By giving 2 treats to each dog. N.MR.05.01 Understand the meaning of division of whole numbers with and without remainders; relate division to fractions and to repeated subtraction. (Core) District State 3% 57 % 14. Which of the following is equivalent to 100 ÷ 12? A. ½ B. 12/100 9% C. 88/100 31% D. 100/12 N.MR.05.01 Understand the meaning of division of whole numbers with and without remainders; relate division to fractions and to repeated subtraction. (Core) District State 36% 47% 15. There are 66 people to be seated for a dinner. Each table seats 4 people. What is the least number of tables needed so that everyone will have a seat? A. 16 B. 17 10% C. 62 6% D. 70 N.MR.05.02 Relate division of whole numbers with remainders to the form a = bq + r, e.g., 34 ÷ 5 = 6 r 4, so 5 • 6 + 4 = 34; note remainder (4) is less than divisor (5). (Core) 16. Which equation is equal to this division sentence? District 36 ÷ 5 = 7 R1 State 66% 12% A. 36 = 5 x 7 + 1 B. 36 = 5 x 7 x 1 8% C. 5 = 36 ÷ 2 - 1 13% D. 5 = 36 ÷ 7 - 1 N.MR.05.02 Relate division of whole numbers with remainders to the form a = bq + r, e.g., 34 ÷ 5 = 6 r 4, so 5 • 6 + 4 = 34; note remainder (4) is less than divisor (5). (Core) 17. Which equation is equal to the division sentence below? District State 47 ÷ 7 = 6 R5 13% A. 47 = 7 x 6 ÷ 5 9% B. 47 = 7 x 6 x 5 70% C. 47 = 7 x 6 + 5 7% D. 47 = 7 x 6 - 5 N.MR.05.02 Relate division of whole numbers with remainders to the form a = bq + r, e.g., 34 ÷ 5 = 6 r 4, so 5 • 6 + 4 = 34; note remainder (4) is less than divisor (5). (Core) 18. Which equation is equal to this division sentence? District 17 ÷ 5 = 3 R 2 State 6% 76% A. 5 – 2 + 3 = 17 B. 3 x 5 + 2 = 17 11% C. 5 x 3 x 2 = 17 7% D. 3 x 5 – 2 = 17 N.MR.05.03 Write mathematical statements involving division for given situations. (Extended) District State 61. The Ryan family drove 900 miles on their vacation. They drove the same number of miles each day. They used 3 tanks of gas on the trip. Which expression should they use to find the number of miles they drove on 1 tank of gas? 8% A. 1 ÷ 900 25% B. 3 ÷ 900 11% C. 900 ÷ 1 55% D. 900 ÷ 3 N.FL.05.04 Multiply a multi-digit number by a two-digit number; recognize and be able to explain common computational errors such as not accounting for place value. (Core) District State 1. There are 25 students in Mrs. Paul’s class. Each student needs 11 sheets of paper. How many sheets of paper are needed for the entire class? 10% A. 36 sheets 6% 7% B. 50 sheets C. 126 sheets 77% D. 275 sheets N.FL.05.04 Multiply a multi-digit number by a two-digit number; recognize and be able to explain common computational errors such as not accounting for place value. (Core) District State 2% 19% 2. Marcus planted 20 rose bushes in his garden. This year, each rose bush had 18 roses. How many roses were there in all? A. 36 roses B. 38 roses 11% C. 260 roses 68% D. 360 roses N.FL.05.04 Multiply a multi-digit number by a two-digit number; recognize and be able to explain common computational errors such as not accounting for place value. (Core) District State 3. There are 365 days in a year and 24 hours in a day. How many hours are there in year? 10% A. 2,190 hours 12% B. 8,660 hours 70% C. 8,760 hours 8% D. 9,660 hours N.FL.05.05 Solve applied problems involving multiplication and division of whole numbers.* (Core) District State 6% 77% 19. James is making a recipe that calls for a 64 ounce can of tomato sauce. The grocery store is out of the large cans, but they several smaller sizes to choose from: 6ounce, 8-ounce, 12-ounce, and 15-ounce. What should he buy in order to have exactly the 64 ounces that he needs? A. Eleven 6-ounce cans B. Eight 8-ounce cans 9% C. Five 12-ounce cans 8% D. Five 15-ounce cans N.FL.05.05 Solve applied problems involving multiplication and division of whole numbers.* (Core) District State 20. Ms. Kerry has 195 ounces of dried beans that she wants to use to make beanbags. What is the greatest number of 16-ounce beanbags she could make? 7% A. 8 beanbags 65% B. 12 beanbags 17% C. 15 beanbags 17% D. 20 beanbags N.FL.05.05 Solve applied problems involving multiplication and division of whole numbers.* (Core) 21.Linda has a flock of 238 sheep. She divided her flock as evenly as possible among 4 grain fields. Which shows how Linda could have divided her flock among the fields? District State 20% A 8% B 65% C 7% D N.FL.05.06 Divide fluently up to a four-digit number by a two-digit number. (Core) 4. What is the correct answer to the following? District State 13 728 4% A. 5 6% B. 6 80% C. 56 9% D. 560 N.FL.05.06 Divide fluently up to a four-digit number by a two-digit number. (Core) District State 5.Kelly can type 50 words per minute. How long will it take her to type 6,500 words? 13% A. 13 minutes 63% B. 130 minutes 17% C. 1,300 minutes 7% D. 13,000 minutes N.FL.05.06 Divide fluently up to a four-digit number by a two-digit number. (Core) District State 6. A parking garage has 4,200 parking spaces and 10 levels. Each level has the same number of parking spaces. How many parking spaces are on each level of the garage? 13% A. 42 parking spaces 56% B. 420 parking spaces 11% C. 4,200 parking spaces 20% D. 42,000 parking spaces N.MR.05.07 Find the prime factorization of numbers from 2 through 50, express in exponential notation, e.g., 24 = 23 x 31, and understand that every whole number greater than 1 is either prime orcan be expressed as a product of primes.* (Future) District State 74. Which expression shows the prime factorization of 36? 37% A. 2 x 2 x 3 x 3 12% B. 3 x 3 x 4 19% C. 4 x 9 31% D. 1 x 36 N.ME.05.08 Understand the relative magnitude of ones, tenths, and hundredths and the relationship of each place value to the place to its right, e.g., one is 10 tenths, one tenth is 10 hundredths. (Core) 7. The shaded area of the grid shows 0.80. How is this number expressed using tenths? District State 73% 5% 6% A. 0.8 B. 0.81 C. 1.8 16% D. 8.10 N.ME.05.08 Understand the relative magnitude of ones, tenths, and hundredths and the relationship of each place value to the place to its right, e.g., one is 10 tenths, one tenth is 10 hundredths. (Core) 8. Which number is the same as 0.72? District State 56% 31% A 72 hundredths B. 72 tenths 7% C. 72 ones 6% D. 72 tens N.ME.05.08 Understand the relative magnitude of ones, tenths, and hundredths and the relationship of each place value to the place to its right, e.g., one is 10 tenths, one tenth is 10 hundredths. (Core) 9. Which number is equal to 17 tenths? District State 60% A. 0.17 3% B. 1.07 25% C. 1.7 12% D. 17 N.ME.05.09 Understand percentages as parts out of 100, use % notation, and express a part of a whole as a percentage. (Core) District State 8% 20% 34. In Tom’s class, 20 of the 25 students got a perfect score on the test. What percentage of the students got a perfect score? A. 0.80% B. 20% 6% C. 25% 66% D. 80% N.ME.05.09 Understand percentages as parts out of 100, use % notation, and express a part of a whole as a percentage. (Core) District State 31% 6% 35. There are 20 students in Michelle’s class. Ten of the students are wearing white shoes. What percent of the students are wearing white shoes? A. 10% B. 20% 4% C. 30% 59% D. 50% N.ME.05.09 Understand percentages as parts out of 100, use % notation, and express a part of a whole as a percentage. (Core) District State 11% 36. Patrick counted the number of red candles in a bag of colored candles. He found that 8 of the 20 candles are red. What percent of the candles are red? A. 4% 34% B. 8% 20% C. 20% 35% D. 40% N.ME.05.10 Understand a fraction as a statement of division, e.g., 2 ÷ 3 = 2/3, using simple fractions and pictures to represent. (Future) District State 68% 72. What fraction has the same meaning as 5 ÷ 6? A 5 6 17% 10% B. 6 5 C. 5 1 6 4% D. 6 1 5 N.ME.05.11 Given two fractions, e.g., ½ and ¼ , express them as fractions with a common denominator, but not necessarily a least common denominator, e.g., ½ = 4/8 and ¾ = 6/8 ; use denominators less than 12 or factors of 100.* (Future) District State 73. Pat needs to use 3/6 cup of sugar and 2/6 cup of flour to make a recipe. Which size measuring cup would hold these exact amounts? 55% A. ½ cup for the sugar and 1/3 cup for the flour. 13% B. 1/3 cup for the sugar and ½ cup for the flour. 19% C. 6/3 cups for the sugar and 6/2 cups for the flour. 13% D. 2/3 cup for the sugar and 1/6 cup for the flour. N.ME.05.12 Find the product of two unit fractions with small denominators using an area model.* (Future) 75. What is the product of 1 x 1 ? 4 6 District State 73% A. 1 24 7% B. 1 9 12% C. 2 10 7% D. 9 15 N.MR.05.13 Divide a fraction by a whole number and a whole number by a fraction, using simple unit fractions.* (Future) District State 27% 70. A group of boys ate 3 whole apple pies. If each boy ate exactly ¼ of a pie, what was the number of boys in the group? A. 4 9% B. 7 7% C. 9 57% D. 12 N.FL.05.14 Add and subtract fractions with unlike denominators through 12 and/or 100, using the common denominator that is the product of the denominators of the 2 fractions, e.g., 3/8+ 7/10 : use 80 as the common denominator.* 71. Brian and Allan are sharing a pizza. Brian ate ½ of the pizza and Allan ate 1/3 of the pizza. What fractional part of the pizza did they eat altogether? District State 36% 11% A. 2/5 B. 1/6 12% C. 2/6 40% D. 5/6 N.MR.05.15 Multiply a whole number by powers of 10: 0.01, 0.1, 1, 10, 100, 1,000; and identify patterns. (Extended) District State 6% 11% 62. A train is traveling at a speed of 70 miles per hour. At this speed, what is the total number of miles the train will travel in 10 hours? A. 7 B. 80 77% C. 700 6% D. 7,000 N.MR.05.17 Multiply one-digit and two-digit whole numbers by decimals up to two decimal places. (Extended) District State 2% 63. Jessica bought 4 pairs of socks. She paid $2.39 for each pair. How much did she spend the socks altogether? A. $1.61 4% B. $1.67 10% C. $6.39 84% D. $9.56 N.MR.05.19 Solve contextual problems that involve finding sums and differences of fractions with unlike denominators using knowledge of equivalent fractions.* (Future) District State 11% 50% 76. Mitchell is making berry muffins. The recipe calls for ¾ cup of blueberries, 1/3 cup of raspberries, and ¼ cup of blackberries. How many cups of berries does he need? A 1 1/12 cups B. 1 1/3 cups 31% C. 1 5/ 12 cups 8% D. 1 ½ cups N.FL.05.20 Solve applied problems involving fractions and decimals; include rounding of answers and checking reasonableness.* (Core) District State 39% 7% 37. Mr. Kohler gave each of his 2 daughters $10.00 to buy cotton candy. Bags of cotton candy cost $2.50 each. How many bags can they afford to buy altogether? A. 4 B. 6 45% C. 8 9% D. 10 N.FL.05.20 Solve applied problems involving fractions and decimals; include rounding of answers and checking reasonableness.* (Core) District State 24% 15% 38. Three friends are sharing 2 pizzas. Which fraction represents the portion of pizza each friend may eat if they are sharing the pizzas equally? A. 1/3 B. ½ 46% C. 2/3 14% D. 3/2 N.FL.05.20 Solve applied problems involving fractions and decimals; include rounding of answers and checking reasonableness.* (Core) District State 42% 39% 39. Casey cut a pie into 4 slices, then ate ½ of one slice. How much of the pie did Casey eat? A. 1/8 B. ½ 15% C. ¾ 3% D. 7/8 N.MR.05.21 Solve for the unknown in equations such as ¼ + x = 7/12 .* (Future) 77. Which value makes the equitation below true? District 1 + 2 State 3% A. ½ 26% B. 2/3 63% C. 6/4 8% D. 7/12 =7 6 N.MR.05.22 Express fractions and decimals as percentages and vice versa. (Core) District State 40. In John’s class, ½ of the students had pizza for lunch, what percentage of the students had pizza for lunch? 13% A. 12% 7% B. 20% 79% C. 50% 2% D. 75% N.MR.05.22 Express fractions and decimals as percentages and vice versa. (Core) District State 30% 41. In a bag of marbles, 0.25 of the marbles were green. What percentage of the marbles are green? A. 0.25% 9% B. 2.5% 58% C. 25% 2% D. 250% N.MR.05.22 Express fractions and decimals as percentages and vice versa. (Core) District State 13% 64% 42. Ralph bought a package of assorted colored paper of which 2/5 of the papers were blue. What percent of the papers are blue? A. 4% B. 40% 16% C. 52% 7% D. 75% N.ME.05.23 Express ratios in several ways given applied situations, e.g., 3 cups to 5 people, 3 : 5, 3/5 ; recognize and find equivalent ratios. (Extended) District State 6% 60. Mr. Kuo ordered sandwiches to serve at the school open house. He ordered 50 cheese, 35 vegetable, 40 ham, and 60 turkey sandwiches. The clean-up committee found 9 cheese, 5 vegetable, 6 ham and 7 turkey sandwiches left over. According to the ratio of sandwiches left over to sandwiches ordered, which was the most popular type of sandwich? A. Ham 56% B. Turkey 12% C. Cheese 26% D. Vegetable N.FL.05.18 Use mathematical statements to represent an applied situation involving addition and subtraction of fractions.* (Constructed Response) District State 0 53% 1 8% 2 7% 3 15% 4 17% 55. Juanita swam ½ mile each day for 3 days in a row and then swam ¾ mile each day for the next 3 days. Part A: Write a mathematical expression that gives the number of miles that Juanita swam. Part B. Using your answer from Part A, calculate the number of miles that Juanita swam during the 6 days combined. MEASUREMENT The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. M.UN.05.01 Recognize the equivalence of 1 liter, 1,000 ml and 1,000 cm3 and include conversions among liters, milliliters, and cubic centimeters. (Future) 69. Jenny collected 345 milliliters of rain water. How many liters is in 345 milliliters? District 1 liter = 1,000 milliliters State 55% A. 0.345 liter 16% B. 3.45 liters 11% 17% C. 3,450 liters D. 345,000 liters M.UN.05.02 Know the units of measure of volume: cubic centimeter, cubic meter, cubic inches, cubic feet, cubic yards, and use their abbreviations (cm3, m3, in3, ft3, yd3). (Extended) District State 48% 18% 58. A truck will mix and pour concrete for the foundation of a new building. The volume of the concrete in the truck is most likely measured in which units? A. Square feet B. Meters 28% C. Cubic yards 6% D. Inches M.UN.05.03 Compare the relative sizes of one cubic inch to one cubic foot, and one cubic centimeter to one cubic meter. (Extended) District State 59. There are 100 cm in 1 meter. What is one way to determine the number of cubic centimeters in 1 cubic meter? 39% A. Multiply 100 by 100 21% B. Multiply 100 by 100 by 100 28% C. Add 100 + 100 12% D. Add 100 + 100 + 100 M.UN.05.04 Convert measurements of length, weight, area, volume, and time within a given system using easily manipulated numbers. (Core) District State 23% 10. Blake estimates that he spends 12 minutes every day taking a shower. He multiplies 12 minutes by 365 days in a year. He found that he spends 4,380 minutes a year taking showers. How many hours is this? A. 43.80 hours 15% B. 54.75 hours 45% C. 73.00 hours 17% D. 146.00 hours M.UN.05.04 Convert measurements of length, weight, area, volume, and time within a given system using easily manipulated numbers. (Core) District State 11. Larry’s rabbit weighs 7 pounds, 2 ounces. How many total ounces does Larry’s rabbit weigh? 51% A. 72 ounces 16% B. 107 ounces 12% C. 112 ounces 22% D. 114 ounces M.UN.05.04 Convert measurements of length, weight, area, volume, and time within a given system using easily manipulated numbers. (Core) District State 23% 38% 12. Jessie weighs 41 kilograms. How many grams equals 41 kilograms? A. 0.041 grams B. 410 grams 20% C. 4,100 grams 18% D. 41,000 grams M.PS.05.05 Represent relationships between areas of rectangles, triangles, and parallelograms using models. (Core) 22. The rectangle below is divided into two triangles by drawing a diagonal. District State 7% 79% Which statement is true about the area of the rectangle and the area of one of the triangles? A. The area of one triangle is equal to ¼ of the area of the rectangle. B. The area of one triangle is equal to ½ the area of the rectangle. 8% C. The area of one triangle is equal to the area of one of the rectangles. 5% D. The area of one triangle is twice the area of the rectangle. M.PS.05.05 Represent relationships between areas of rectangles, triangles, and parallelograms using models. (Core) 23. Look at the two right triangles below. District State 69% A 4% B 6% C 20% D Which of the following rectangles has the same area as the area of the two right triangles combined? M.PS.05.05 Represent relationships between areas of rectangles, triangles, and parallelograms using models. (Core) 24. The parallelogram below is divided into two triangles by drawing a diagonal. District State 55% 9% 29% Which statement is true about the area of the parallelogram and the area of one of the triangles? A. The area of the parallelogram is twice the area of one of the triangles. B. The area of the parallelogram is four times the area of one of the triangles. C. The area of the parallelogram is half the area of one of the triangles. 7% D. The area of the parallelogram is one-fourth the area of one of the triangles. M.TE.05.06 Understand and know how to use the area formula of a triangle: A = ½ bh (where b is length of the base and h is the height), and represent using models and manipulatives. (Core) 43. What is the area of triangle ABC? (The area formula for a triangle is A = ½ bh.) District State 18% 51% A. 14 square inches B. 24 square inches 10% C. 28 square inches 21% D. 48 square inches M.TE.05.06 Understand and know how to use the area formula of a triangle: A = ½ bh (where b is length of the base and h is the height), and represent using models and manipulatives. (Core) 44. What is the area of this triangle? (The area formula for a triangle is A = ½ bh.) District State 24% A. 6 square feet 4% B. 10 square feet 65% 6% C. 12 square feet D. 24 square feet M.TE.05.06 Understand and know how to use the area formula of a triangle: A = ½ bh (where b is length of the base and h is the height), and represent using models and manipulatives. (Core) 45. What is the area of this triangle? (The area formula for a triangle is A = ½ bh.) District State 61% A. 60 square centimeters 11% B. 120 square centimeters 17% C. 130 square centimeters 11% D. 240 square centimeters M.TE.05.07 Understand and know how to use the area formula for a parallelogram: A = bh, and represent using models and manipulatives. (Core) 46. What is the area of parallelogram KLMN? The area formula for a parallelogram is A = bh.) District State 18% 34% 43% A. 32 ft2 B. 40ft2 C. 64ft2 4% D. 80ft2 M.TE.05.07 Understand and know how to use the area formula for a parallelogram: A = bh, and represent using models and manipulatives. (Core) 47. Which of the following has enough information given to find the area of the parallelogram? District State 26% A 9% B 18% C 48% D M.TE.05.07 Understand and know how to use the area formula for a parallelogram: A = bh, and represent using models and manipulatives. (Core) 48. What is the area of the parallelogram below? (The area formula for a parallelogram is A = bh.) District State 42% A. 80 square inches 16% B. 150 square inches 25% C. 300 square inches 16% D. 375 square inches M.PS.05.10 Solve applied problems about the volumes of rectangular prisms using multiplication and division and using the appropriate units. (Future) 68. A cereal box in the shape of a rectangular prism is 7 inches long, 10 inches high and 3 inches wide. What is the volume of the box in cubic inches? District State 69% 15% A. 210 cu in. B. 420 cu in. 11% C. 703 cu in. 5% D. 2,100 cu in. GEOMETRY The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. G.TR.05.01 Associate an angle with a certain amount of turning; know that angles are measured in degrees; understand that 90°, 180°, 270°, and 360° are associated respectively, with ¼ , ½ , and ¾ , and full turns. (Extended) 57. A car driving east turned 45 degrees to the left. In what direction was the car driving then? District State 24% A. Northwest 55% B. Northeast 9% C. Southwest 13% D. Southeast G.GS.05.02 Measure angles with a protractor and classify them as acute, right, obtuse, or straight. (Core) 25. Which type of angle is shown below? District State 6% 15% A. Right B. Acute 77% C. Obtuse 2% D. Straight G.GS.05.02 Measure angles with a protractor and classify them as acute, right, obtuse, or straight. (Core) 26. A 90º and a 45º angle are shown below. What is the best estimate for the measure in degrees of angle y? District State 14% 58% A. 125º B. 135º 21% C. 145º 6% D. 155º G.GS.05.02 Measure angles with a protractor and classify them as acute, right, obtuse, or straight. (Core) 27. Which is closest to the measurement of the angle below? District State 4% A. 15º 45% B. 75º 38% C. 85º 13% D. 105º G.GS.05.03 Identify and name angles on a straight line and vertical angles. (Future) 65. In the drawing, which of these pairs of angles appears to be vertical angles? District State 13% A. BAF and FAE B. EAF and EAD C. BAC and EAD D. BAF and CAD 26% 19% 42% G.GS.05.04 Find unknown angles in problems involving angles on a straight line, angles surrounding a point, and vertical angles. (Future) 66. AC is a straight line. What is the measure of District State 6% 22% A. 45º B. 55º 55% C. 125º 16% D. 135º BOC? G.GS.05.05 Know that angles on a straight line add up to 180° and angles surrounding a point add up to 360°; justify informally by “surrounding” a point with angles. (Core) District State 7% 20% 28. What is the sum of the measures of angles that form a straight line? A. 45º B. 90º 62% C. 180º 11% D. 360º G.GS.05.05 Know that angles on a straight line add up to 180° and angles surrounding a point add up to 360°; justify informally by “surrounding” a point with angles. (Core) 29.What is the measure of the missing angle in the diagram below? District State 68% A. 30º 11% B. 50º 14% C. 60º 7% D. 85º G.GS.05.05 Know that angles on a straight line add up to 180° and angles surrounding a point add up to 360°; justify informally by “surrounding” a point with angles. (Core) 30. What is the measure of the angle DBC in the figure below? District State 5% A. 10º 57% B. 30º 17% C. 75º 20% D. 150º G.GS.05.06 Understand why the sum of the interior angles of a triangle is 180° and the sum of the interior angles of a quadrilateral is 360°, and use these properties to solve problems. (Core) District State 37% 18% 49. A square has four equal interior angles. What is the sum of these angles? A. 90º B. 180º 8% C. 200º 36% D. 360º G.GS.05.06 Understand why the sum of the interior angles of a triangle is 180° and the sum of the interior angles of a quadrilateral is 360°, and use these properties to solve problems. (Core) District State 10% 50. Marcus drew a triangle. The measure of the first interior angle is the same as the measure of the second interior angle. The measure of the third interior angle is 80º. What is the measure of the first interior angle? A. 35º 37% B. 40º 37% C. 50º 15% D. 100º G.GS.05.06 Understand why the sum of the interior angles of a triangle is 180° and the sum of the interior angles of a quadrilateral is 360°, and use these properties to solve problems. (Core) District State 29% 17% 51. How does the sum of the interior angles of a parallelogram compare with the sum of the interior angles of a rectangle? A. The two sums are the same. B. The sum is greater for the rectangle. 19% C. The sum is greater for the parallelogram. 34% D. You need to see the actual figure to make any comparison. G.GS.05.07 Find unknown angles and sides using the properties of: triangles, including right, isosceles, and equilateral triangles; parallelograms, including rectangles and rhombuses; and trapezoids. (Future) District State 16% 10% 67. Which of the following shapes is a quadrilateral that must have all the sides congruent? A. Trapezoid B. Rectangle 57% C. Square 16% D. Equilateral triangle DATA and PROBABILITY The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. D.RE.05.01 Read and interpret line graphs, and solve problems based on line graphs, e.g., distance-time graphs, and problems with two or three line graphs on same axes, comparing different data. (Core) 31. Which describes the pattern of time and temperature change shown in the graph below? District State 6% 82% 5% 7% A. Fore each hour that passes, the temperature drops 2ºC B. For each hour that passes, the temperature rises 2ºC C. For each hour that passes, the temperature drops 4ºC D. For each hour that passes, the temperature rises 4ºC D.RE.05.01 Read and interpret line graphs, and solve problems based on line graphs, e.g., distance-time graphs, and problems with two or three line graphs on same axes, comparing different data. (Core) 32. If this pattern continues, what will the temperature be on the school playground at 12:00 noon on December 3? District State 4% 7% A. 2ºC B. 10ºC 14% C. 12ºC 75% D. 14ºC D.RE.05.01 Read and interpret line graphs, and solve problems based on line graphs, e.g., distance-time graphs, and problems with two or three line graphs on same axes, comparing different data. (Core) 33. Ninety-six customers at a pet store were asked, “What is your favorite pet?” the owner recorded the answer in the table. Then he drew a graph. What is wrong with the graph? District State 8% A. The graph should have included more pets. 20% B. The graph should have been a double-line graph. 23% C. “Dog” should have been the first pet listed on the x-axis. 49% D. A line graph should not have been used with these data. D.AN.05.03 Given a set of data, find and interpret the mean (using the concept of fair share) and mode. (Core) District State 52. The Friendship Club is planning a party. Each club member wrote down the date on which she wanted to have the party. The club president needs to choose the date that is wanted by the greatest number of members. Which date should the club president choose? 55% A. The date that is the mode. 11% B. Any date that was written. 24% C. The date that is the median. 10% D. A date that was not chosen. D.AN.05.03 Given a set of data, find and interpret the mean (using the concept of fair share) and mode. (Core) 53. Jack compared the lengths of school years in different cities and recorded the data in the table below. District State 14% Which statement about this information is true? A. The mode is 185. 21% B. The median is 181. 40% C. The median and mode are equal. 25% D. The median is less than the mode. D.AN.05.03 Given a set of data, find and interpret the mean (using the concept of fair share) and mode. (Core) District State 54. The mode of the number of students at the new principal’s “Get to Know the Students” lunches is 12. Which of the following statements must be true? 24% A. The total number of students divided by the number of students attending each lunch is 12. 19% B. Up to and including 12 students can attend each lunch. 40% C. The number of students who attend the lunch most often is 12. 16% D. The difference between the smallest number of students and the largest number of students at a lunch is 12. D.AN.05.04 Solve multi-step problems involving means. (Future) 64. The number of students in Mrs. Gleason’s class who buy lunch each day is show below. District State 18% 10% 15% How much would the mean change if 14 students instead of 9 bought lunch on Friday? A. By 1 student B. By 2 students C. By 3 students 57% D. By 5 students D.RE.05.02 Construct line graphs from tables of data; include axis labels and scale. (Constructed Response) District State 0 25% 1 17% 2 17% 3 20% 4 21% 56. One ounce of bean seeds is enough to plant a 10foot row of bean plants. The table below shows how many ounces of seeds are needed for different lengths rows. Make a line graph of this information. Be sure to title the graph, label the axes, and choose an appropriate scale. Conclusions from the Data Below are the core GLCE’s by strand in order of average from greatest to least. (--- = separates 70% mark) Number and Operations ------------------------ Algebra ----------------------- Measurement Geometry Data and Probability ----------------------- ------------------------ ------------------------ LINKING (GLCES FROM LOWER GRADE LEVELS & WERE LESS THAN 70% IN OUR DISTRICT) The correct answer will be highlighted in the following questions. •If the answer is highlighted green, then we did better than the state by 5% or more. •If the answer is highlighted yellow, then we did better than the state by 0-4%. •If the answer is highlighted red, then we did worse than the state. N.ME.04.05 List the first ten multiples of a given one-digit whole number; determine if a whole number is a multiple of a given one-digit whole number.* (Linking) District State 1. Which list contains the first ten nonnegative multiples of 5? 10% A. 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 9% B. 63% C. 0, 5, 10, 15, 20, 25, 30, 35, 40, 45 17% D. 5, 10, 15, 25, 35, 45, 55, 65, 75, 85, 95 N.ME.04.05 List the first ten multiples of a given one-digit whole number; determine if a whole number is a multiple of a given one-digit whole number.* (Linking) 2. Which number is a multiple of 9? District State 57% A. 3 3% B. 19 38% C. 54 2% D. 91 N.ME.04.05 List the first ten multiples of a given one-digit whole number; determine if a whole number is a multiple of a given one-digit whole number.* (Linking) 3. Mark made a list of the first ten whole number multiples of a number. District State 5% 68% 12% 14% 0, 3, 6, 9, 12, 15, 18, 21, 24, 27 What was Mark’s Number? A. 0 B. 3 C. 27 D. 30 N.MR.04.07 Use factors and multiples to compose and decompose whole numbers.* (Linking) District State 4. Which of these numbers has exactly two factors? 40% A. 4 17% B. 12 20% C. 22 23% D. 31 N.MR.04.07 Use factors and multiples to compose and decompose whole numbers.* (Linking) District State 5. Which of these numbers is a multiple of 2 and also a multiple 9? 7% A. 27 7% B. 29 82% C. 36 4% D. 92 N.MR.04.07 Use factors and multiples to compose and decompose whole numbers.* (Linking) District State 6. Taylor says, “I am thinking of a number that is a factor of 50 and a multiple of 5.” Which of these numbers could be Taylor’s number? 76% A. 10 3% B. 45 10% 11% C. 55 D. 250 N.ME.04.09 Multiply two-digit numbers by 2, 3, 4, and 5 using the distributive property, e.g., 21 x 3 = (1 + 20) x 3 = (1 x 3) + (20 x 3) = 3 + 60 = 63. (Linking) 7. Which number goes in the box to make the number sentence true? District State (3 x 5) + (3 x 20) = 3 x □ 5% A. 4 13% B. 15 73% C. 25 8% D. 100 N.ME.04.09 Multiply two-digit numbers by 2, 3, 4, and 5 using the distributive property, e.g., 21 x 3 = (1 + 20) x 3 = (1 x 3) + (20 x 3) = 3 + 60 = 63. (Linking) 8. Which expression is equal to 4 x 87? District State 17% A. (4 x 8) + (4 x 7) B. (4 + 80) x (4 + 7) 14% C. (4 x 80) + (4 x 7) 61% D. (4 + 80) + (4 + 7) 7% N.ME.04.09 Multiply two-digit numbers by 2, 3, 4, and 5 using the distributive property, e.g., 21 x 3 = (1 + 20) x 3 = (1 x 3) + (20 x 3) = 3 + 60 = 63. (Linking) 9. Which correctly completes the number sentence? District State 2 x 64 = (2 x 60) + (2 ____ ) 16% A. + 2 14% B. x 2 16% C. + 4 53% D. x 4 N.FL.04.11 Divide numbers up to four-digits by one-digit numbers and by 10. (Linking) District State 10. At a factory, 8,292 boxes were placed in 4 containers. If the same number of boxes were put in each container, how many boxes were in 1 container? 16% 19% 54% 11% A. 273 B. 2,020 C. 2,073 D. 8,288 N.FL.04.11 Divide numbers up to four-digits by one-digit numbers and by 10. (Linking) District State 11. Lisa wants to divide 765 pieces of candy evenly among 10 bags. What is 756 divided by 10? 5% A. 76 82% B. 76 R 5 5% 7% C. 706 R 5 D. 760 R 5 N.FL.04.11 Divide numbers up to four-digits by one-digit numbers and by 10. (Linking) District State 12. On a field trip, 144 students rode on a 4 buses. There were an equal number of students on each bus. How many students rode on each bus? 4% 90% 3% 3% A. 11 B. 36 C. 140 D. 148 N.FL.04.12 Find the value of the unknowns in equations such as a ÷ 10 = 25; 125 ÷ b = 25.* (Linking) 13. Which value of w makes the number sentence below true? District State w÷7=7 6% 53% 39% 2% A. 0 B. 1 C. 49 D. 77 N.FL.04.12 Find the value of the unknowns in equations such as a ÷ 10 = 25; 125 ÷ b = 25.* (Linking) District State 14. Which value of r makes the number sentence below true? 132 ÷ r = 33 69% A. 4 19% B. 11 9% C. 99 3% D. 165 N.FL.04.12 Find the value of the unknowns in equations such as a ÷ 10 = 25; 125 ÷ b = 25.* (Linking) District State 15. Which value of m makes the number sentence below true? 456 ÷ m = 57 10% A. 7 B. 8 77% 10% C. 399 3% D. 513 N.ME.04.15 Read and interpret decimals up to two decimal places; relate to money and place value decomposition. (Linking) District State 19. Which list is in order from least to greatest? 37% A. 2.1, 2.3, 2.01, 2.11 39% B. 2.01, 2.1, 2.11, 2.3 14% C. 2.01, 2.11, 2.1, 2.3 10% D. 2.1, 2.01, 2.11, 2.3 N.ME.04.15 Read and interpret decimals up to two decimal places; relate to money and place value decomposition. (Linking) District State 20. Which number is equal to four and nine hundredths? 2% A. 0.013 2% B. 0.13 75% C. 4.09 21% D. 4.9 N.ME.04.15 Read and interpret decimals up to two decimal places; relate to money and place value decomposition. (Linking) 21. Kara has 2 one-dollar bills, some dimes, and 3 District pennies in her pocket. The total amount of money she has in her pocket is $2.43. How many dimes does Kara have in her pocket? State 83% A. 4 5% B. 24 10% C. 40 2% D. 240 N.MR.04.19 Write tenths and hundredths in decimal and fraction forms, and know the decimal equivalents for halves and fourths. (Linking) 16. Which number equals 36/100? District State A. 0.0036 13% B. 0.10036 6% C. 0.36 75% D. 0.361 6% N.MR.04.19 Write tenths and hundredths in decimal and fraction forms, and know the decimal equivalents for halves and fourths. (Linking) District State 17. Which decimal below is equal to six tenths? 3% A. 61.0 13% B. 6.1 74% C. 0.6 10% D. 0.06 N.MR.04.19 Write tenths and hundredths in decimal and fraction forms, and know the decimal equivalents for halves and fourths. (Linking) 18. Which is equivalent to ¾? District State 59% A. 0.75 5% B. 4 - 3 19% C. 16% D. Three and one-fourth N.MR.04.22 Locate fractions with denominators of 12 or less on the number line; include mixed numbers.* (Linking) 40. Which best represents the value at point R? District State 35% 44% A. 2/5 B. 2/3 9% C. 3/2 13% D. 5/2 N.MR.04.22 Locate fractions with denominators of 12 or less on the number line; include mixed numbers.* (Linking) 41. Which letter appears to be on a value that is greater than 9/4? District State 10% 13% A. P B. Q 27% C. R 50% D. S N.MR.04.22 Locate fractions with denominators of 12 or less on the number line; include mixed numbers.* (Linking) 42. Which best represents the value at point G? District State 5% A. 2 ½ 90% B. 2 ¾ 3% C. 12/4 2% D. 11 N.FL.04.35 Know when approximation is appropriate and use it to check the reasonableness of answers; be familiar with common place-value errors in calculations. (Linking) 22. Martin estimates the difference 498 – 304 is District State 5% 57% 11% 27% about 100. Does Martin’s estimate makes sense? A. No, because 400 – 400 = 0. B. No, because 500 – 300 = 200. C. Yes, because 500 – 400 = 100. D. Yes, because 400 – 300 = 100. N.FL.04.35 Know when approximation is appropriate and use it to check the reasonableness of answers; be familiar with common place-value errors in calculations. (Linking) 23. Manny needed to estimate the sum of the numbers below using mental math. District State 72% 304 603 801 909 Which method would be most reasonable for him to use? A. Round each number to the nearest hundred. Add the numbers. 13% 9% B. Add all the numbers in the hundreds place. Add all the numbers in the ones place. Then add these two sums. C. Add all the numbers in the hundreds place. Add all the numbers in the ones place. Put a 0 between these two sums. 6% D. Add all the numbers in the hundreds place. Add all the numbers in the ones place. Then subtract the two sums. N.FL.04.35 Know when approximation is appropriate and use it to check the reasonableness of answers; be familiar with common place-value errors in calculations. (Linking) District State 24. A customer returned four shirts to a clothing store. Shirt Prices $19.10 $21.95 $12.89 $15.47 6% 7% 85% Which method would be best for the cashier to use to determine the amount of money to give back to the customer? A. guess and check B. work backward 2% C. use a calculator D. draw a picture M.UN.04.01 Measure using common tools and select appropriate units of measure. (Linking) 43. Use the inch ruler to measure the perimeter of this envelope. District State 24% 18% 51% 6% Which best represents the perimeter of the envelope? A. 8 inches B. 15 inches C. 16 inches D. 18 inches M.UN.04.01 Measure using common tools and select appropriate units of measure. (Linking) District State 9% 44. Which type of units are used to measure the area of a rug? A. cubic units 6% B. linear units 50% C. square units 34% D. it depends on the size of the rug M.UN.04.01 Measure using common tools and select appropriate units of measure. (Linking) District State 90% 6% 45. Marilee wanted to know the width of her bedroom door. Which measuring tool should she use to find the width of the door? A. a ruler B. a balance 3% C. a thermometer 1% D. a measuring cup M.PS.04.02 Give answers to a reasonable degree of precision in the context of a given problem. (Linking) 25. Which of the following is closest to the weight of a bicycle? District State 3% 80% A. 2 ounces 8% B. 10 pounds 9% C. 2 ton D. 10 ounces M.PS.04.02 Give answers to a reasonable degree of precision in the context of a given problem. (Linking) 26. Roy is driving a truck carrying sand. He stops in front of a bridge to read this sign. District State 6% 3% 87% Roy knows that the empty truck weights 4,000 pounds including the driver. What else does Roy need to know before he decides whether to drive over the bridge? A. the weight of the bridge 4% B. how many more loads of sand he needs C. the weight of the sand in the truck D. how many trucks have driven over the bridge M.PS.04.02 Give answers to a reasonable degree of precision in the context of a given problem. (Linking) 27. Delia has some tropical fish in a tank. The water District State 5% should be kept between 72°F and 80°F. Delia keeps a thermometer in the tank to measure the temperature of the water. Which is the most reasonable description of a desirable water temperature for the fish? 9% A. between 15°F and 95°F 83% B. between 55°F and 65°F 3% C. between 73°F and 79°F D. between 86°F and 106°F M.UN.04.03 Measure and compare integer temperatures in degrees. (Linking) District State 33% 46. Which lists the temperatures from coldest to warmest? A. -2°F, 3°F, 22°F, -33°F 4% B. -33°F, 22°F, 3°F, -2°F 10% C. -2°F, -33°F, 3°F, 22°F 53% D. -33°F, -2°F, 3°F, 22°F M.UN.04.03 Measure and compare integer temperatures in degrees. (Linking) District State 12% 75% 7% 47. Which is the coldest temperature? A. 0°C B. -12°C C. -8°C D. 16°C 5% M.UN.04.03 Measure and compare integer temperatures in degrees. (Linking) District State 5% 1% 84% 9% 48. Which is the warmest temperature? A. 0°F B. -2°F C. 5°F D. -10°F M.TE.04.06 Know and understand the formulas for perimeter and area of a square and a rectangle; calculate the perimeters and areas of these shapes and combinations of these shapes using the formulas. (Linking) District State 28. Each square in the drawing below is the same size. What is the perimeter of the shape? 40% 6% A. 6 units 52% B. 9 units 2% C. 12 units D. 18 units M.TE.04.06 Know and understand the formulas for perimeter and area of a square and a rectangle; calculate the perimeters and areas of these shapes and combinations of these shapes using the formulas. (Linking) 29. What is the perimeter of the rectangle below? District State 15% A. 4 m 19% B. 5 m 4% C. 8 m 62% D. 10 m M.TE.04.06 Know and understand the formulas for perimeter and area of a square and a rectangle; calculate the perimeters and areas of these shapes and combinations of these shapes using the formulas. (Linking) 30. What is the area of the “C” shape below? District State 81% A. 14 sq units B. 18 sq units 4% C. 22 sq units 9% 6% D. 26 sq units M.TE.04.07 Find one dimension of a rectangle given the other dimension and its perimeter or area. (Linking) District State 49. The drawing below represents a rectangle with a width of 10 millimeters and a perimeter of 100 millimeters. What is the length of the rectangle? 25% A. 10 millimeters 39% B. 40 millimeters 15% C. 80 millimeters 21% D. 90 millimeters M.TE.04.07 Find one dimension of a rectangle given the other dimension and its perimeter or area. (Linking) 50. The area of the rectangle below is 80 cm², and it width is 10 cm. District State 17% What is the length l, of the rectangle? 49% A. 4 cm 21% B. 8 cm 13% C. 30 cm D. 70 cm M.TE.04.07 Find one dimension of a rectangle given the other dimension and its perimeter or area. (Linking) 51. The perimeter of this rectangle is 26 yards, and its length is 8 yards. District State 63% 7% 28% 3% What is the width w, of the rectangle? A. 5 yards B. 9 yards C. 18 yards D. 21 yards G.GS.04.02 Identify basic geometric shapes including isosceles, equilateral, and right triangles, and use their properties to solve problems. (Linking) 31. Which appears to be an equilateral triangle? District State 13% 66% 13% 7% G.GS.04.02 Identify basic geometric shapes including isosceles, equilateral, and right triangles, and use their properties to solve problems. (Linking) 32. Tina drew the isosceles triangle below. District State What is the perimeter of this triangle? 18% A. 10 inches 3% B. 14 inches 63% C. 16 inches 16% D. 24 inches G.GS.04.02 Identify basic geometric shapes including isosceles, equilateral, and right triangles, and use their properties to solve problems. (Linking) 33. Which statement is true about right triangles? District State A. Some right triangles are isosceles. 27% B. Some right triangles are equilateral. 26% 21% 26% C. Some right triangles have two right angles. D. Some right triangles may also have an obtuse angle. G.SR.04.03 Identify and count the faces, edges, and vertices of basic three-dimensional geometric solids including cubes, rectangular prisms, and pyramids; describe the shape of their faces. (Linking) District State 2% 52. Exactly how many faces does a cube have? A. 3 20% B. 4 73% C. 6 5% D. 8 G.SR.04.03 Identify and count the faces, edges, and vertices of basic three-dimensional geometric solids including cubes, rectangular prisms, and pyramids; describe the shape of their faces. (Linking) 53. Which describes how the faces of any rectangular prism are alike? District State 19% 39% 24% 17% A. Each face is a square region. B. Each face is a rectangular region. C. Each face has the same width. D. Each face has the same length. G.SR.04.03 Identify and count the faces, edges, and vertices of basic three-dimensional geometric solids including cubes, rectangular prisms, and pyramids; describe the shape of their faces. (Linking) 54. Which describes what points A, D, F, and G have in common? District State 8% 63% A. They are all faces. 3% B. They are all edges. 25% C. They are all solids. D. They are all vertices G.TR.04.05 Recognize rigid motion transformations (flips, slides, turns) of a two-dimensional object. (Linking) 34. Which shows the numeral 2 after a slide across the dashed line segment? District State 11% 21% 36% 31% G.TR.04.05 Recognize rigid motion transformations (flips, slides, turns) of a two-dimensional object. (Linking) District State 35. Ron turns the arrow 90 degrees clockwise. To which color will the point after the turn? 60% A. red 12% B. blue 11% C. green 17% D. yellow G.TR.04.05 Recognize rigid motion transformations (flips, slides, turns) of a two-dimensional object. (Linking) 36. Mari moved the from Position 1 to Position 2. Which best describes how Mari moved the paper? District State 86% 11% A. flip 2% B. turn C. slide 1% D. cover D.RE.04.02 Order a given set of data, find the median, and specify the range of values. (Linking) District State 37. What is the range for the data given below? 32, 18, 42, 37, 25 26% A. 42 18% B. 34 44% C. 24 12% D. 18 D.RE.04.02 Order a given set of data, find the median, and specify the range of values. (Linking) District State 21% 58% 16% 5% 38. The Byson Middle School girls’ basketball team made the following scores on their last 5 games: 28, 32, 24, 42, and 25. What is the median score for these games? A. 24 B. 28 C. 30 D. 41 D.RE.04.02 Order a given set of data, find the median, and specify the range of values. (Linking) District State 39.What is the range of the group of numbers below? 22, 10, 17, 8, 15, 6, 16 13% A. 6 22% B. 8 19% C. 15 45% D. 16 D.RE.04.03 Solve problems using data presented in tables and bar graphs, e.g., compare data represented in two bar graphs and read bar graphs showing two data sets. (Linking) 55. Joe’s Delivery Service charges $50.00 for each delivery, plus $0.25 per mile. Which chart below shows the correct delivery charges for different numbers of miles? District State 8% 53% 31% 9% D.RE.04.03 Solve problems using data presented in tables and bar graphs, e.g., compare data represented in two bar graphs and read bar graphs showing two data sets. (Linking) 56. Which statement best describes the data displayed in the graph below? District State 68% 14% A. the number of people who live in single-family homes compared to the number of people who live in apartments B. the percentage of people who live in single family homes compared to the number of people who live in apartments 12% 5% C. the change in the number of people who live in single-family homes as compared to the change in number of people who live in apartments over time D. the percentage of people who live in apartments as compared to the total number of people surveyed D.RE.04.03 Solve problems using data presented in tables and bar graphs, e.g., compare data represented in two bar graphs and read bar graphs showing two data sets. (Linking) District State 57. The graph below shows the number of basketball titles won by three different teams. 1% 2% Based on the data in the graph, which statement is true? 2% A. The Ravens won the fewest basketball titles. 95% B. The Bobcats won more titles than the Eagles C. The Ravens won twice as many titles as the Bobcats. D. The Eagles won the greatest number of basketball titles.