Virginia Mathematics Checkpoint Assessment MATHEMATICS 5.8. Strand: Measurement

Transcription

1 Virginia Mathematics Checkpoint Assessment MATHEMATICS 5.8 Strand: Measurement Standards of Learning Blueprint Summary Reporting Category Grade 5 SOL Number of Items Number & Number Sense 5.1, 5.2(a-b), 5.3(a-b) 7 Computation & Estimation 5.4, 5.5(a-b), 5.6, Measurement & Geometry 5.8(a-e), 5.9, 5.10, 5.11, (a-b), 5.13(a-b) Probability, Statistics, Patterns, Functions, & Algebra 5.14, 5.15, 5.16(b-d), 5.17, 5.18(a-d), Excluded from Testing 5.16(a) Number of Operational Items 50 Number of Field-Test Items 10 Total Number of Items on Test 60 Virginia Mathematics SOL Test Cut Scores Failing Scores Passing Scores Test Basic Proficient Advanced Minimum Minimum Minimum Minimum # correct % correct # correct % correct # correct % correct Math 3 16 of 40 40% 26 of 40 65% 36 of 40 90% Math 4 17 of 50 34% 31 of 50 62% 45 of 50 90% Math 5 18 of 50 36% 31 of 50 62% 45 of 50 90% Math 6 16 of 50 32% 28 of 50 56% 45 of 50 90% Math 7 17 of 50 34% 31 of 50 62% 45 of 50 90% Math 8 17 of 50 34% 31 of 50 62% 46 of 50 92% Algebra I n/a n/a 25 of 50 50% 45 of 50 90% Geometry n/a n/a 25 of 50 50% 44 of 50 88% Algebra II n/a n/a 27 of 50 54% 43 of 50 86% Mathematics Checkpoint 5.8 Page 1

2 Checkpoint Items 1. Directions: After showing your thinking, write your answer in the box. You must include the unit of measure. Find the perimeter of the square. 4 cm Mathematics Checkpoint 5.8 Page 2

3 2. Directions: After showing your thinking, write your answer in the box. You must include the unit of measure. Find the perimeter of the rectangle. 5 cm 2 cm Mathematics Checkpoint 5.8 Page 3

4 3. Directions: After showing your thinking, circle the box you want to select. Find the area of the square shown below. 8 cm 32 square cm 64 square cm 16 square cm Mathematics Checkpoint 5.8 Page 4

5 4. Directions: After showing your thinking, circle the box you want to select. Find the area of the polygon shown below. 4 cm 4 cm 16 square cm 12 square cm 8 square cm Mathematics Checkpoint 5.8 Page 5

6 5. Directions: After showing your thinking, circle the box you want to select. Determine the volume of the rectangular solid shown below. Length = 10 in Width = 8 in Height = 7 in 25 cubic inches 560 cubic inches 87 cubic inches Mathematics Checkpoint 5.8 Page 6

7 6. Directions: After showing your thinking, circle the box you want to select. Determine the volume of the rectangular solid shown below. Length = 5 Width = 3 Height = 3 15 cubic units 11 cubic units 45 cubic units Mathematics Checkpoint 5.8 Page 7

8 7. Directions: Draw an arrow from the situation on the left to the appropriate unit of measure to be used on the right. You must draw one arrow to and from each box. Match the situation on the left with the appropriate unit of measure on the right. Covering the floor of a bathroom with tile perimeter The length of fence around a garden volume The amount of liquid a container will hold area Mathematics Checkpoint 5.8 Page 8

9 8. Directions: Draw an arrow from the measurement on the left to the equivalent measurement on the right. You must draw one arrow to and from each box. Match the measure on the left with the equivalent measurement on the right. 3,000 g 2 kg 1 kg 3 kg 2,000 g 1,000 g Mathematics Checkpoint 5.8 Page 9

10 9. Directions: Circle the box you want to select. Mom told me I could purchase a new rug for one area of my bedroom. Before we bought the rug, I needed to know how much space I had available so the rug would fit. Which unit is best to measure the space for the rug? centimeters miles feet Mathematics Checkpoint 5.8 Page 10

11 Checkpoint Solutions SOL 5.8 The student will a) find perimeter, area, and volume in standard units of measure; b) differentiate among perimeter, area, and volume and identify whether the application of the concept of perimeter, area, or volume is appropriate for a given situation; c) identify equivalent measurements within the metric system; d) estimate and then measure to solve problems, using U.S. Customary and metric units; and e) choose an appropriate unit of measure for a given situation involving measurement using U.S. Customary and metric units Essential Knowledge and Skills a. Determine the perimeter of a polygon, with or without diagrams, when 1. the lengths of all sides of a polygon that is not a rectangle or a square are given 2. the length and width of a rectangle are given 3. the length of a side of a square is given b. Estimate and determine the perimeter of a polygon, and area of a square, rectangle, and right triangle following the parameters listed above, using only whole number measurements given in metric or U.S. Customary units, and record the solution with the appropriate unit of measure (e.g., 24 square inches) c. Estimate and determine the area of a square, with or without diagrams, when the length of a side is given d. Estimate and determine the area of a rectangle, with or without diagrams, when the length and width are given e. Estimate and determine the area of a right triangle, with or without diagrams, when the base and the height are given f. Differentiate among the concepts of area, perimeter, and volume g. Develop a procedure for finding the volume using manipulatives (e.g., cubes) h. Determine volume in standard units i. Describe practical situations where area, perimeter, and volume are appropriate measures to use, and justify their choices orally or in writing j. Identify whether the application of the concept of perimeter, area, or volume is appropriate for a given situation k. Identify equivalent measurements within the metric system for: 1. length: millimeters, centimeters, meters, and kilometers 2. weight: grams and kilograms 3. liquid volume: milliliters and liters l. Solve problems involving measurement by selecting an appropriate measuring device and a U.S. Customary or metric unit of measure for the following: 1. length: part of an inch ( 1, 1, 1 ), inches, feet, yards, millimeters, centimeters, meters, and kilometers weight: ounces, pounds, and tons 3. mass: grams and kilograms 4. liquid volume: cups, pints, quarts, gallons, milliliters, and liters 5. area: square units 6. temperature: Celsius and Fahrenheit units (water freezes at 0 C and 32 F; boils at 100 C and 212 F; normal body temperature is 37 C and 98.6 F Item Answer/Solution SOL/EKS Code 1 16 cm 5.8aa 2 14 cm 5.8aa Essential Knowledge and Skills Determine the perimeter of a polygon, with or without diagrams Determine the perimeter of a polygon, with or without diagrams Mathematics Checkpoint 5.8 Page 11

12 3 64 square cm 5.8ab Estimate and determine the perimeter of a polygon, and area of a square, rectangle, and right triangle following the parameters listed above, using only whole number measurements given in metric or U.S. Customary units, and record the solution with the appropriate unit of measure (e.g., 24 square inches) 4 8 square cm 5.8ab Estimate and determine the perimeter of a polygon, and area of a square, rectangle, and right triangle following the parameters listed above, using only whole number measurements given in metric or U.S. Customary units, and record the solution with the appropriate unit of measure (e.g., 24 square inches) cubic inches 5.8ah Determine volume in standard units 6 45 cubic units 5.8ah Determine volume in standard units 7 5.8bi Describe practical situations where area, perimeter, and volume are appropriate measures to use, and justify their choices orally or in writing 8 5.8ck Identify equivalent measurements within the metric system 9 feet 5.8el Solve problems involving measurement by selecting an appropriate measuring device and a U.S. Customary or metric unit of measure Mathematics Checkpoint 5.8 Page 12