Virginia Mathematics Checkpoint Assessment MATHEMATICS 5.14 Strand: Probability and Statistics 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, 5.7 13 Measurement & Geometry 5.8(a-e), 5.9, 5.10, 5.11, 12 5.12(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), 5.19 18 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 5.14 Page 1
Checkpoint Items 1. Directions: Circle the box you want to select. Mandy was getting dressed. Below is a simple tree diagram of her choices. How many different outfits does Mandy have to choose from? 2 4 6 Mathematics Checkpoint 5.14 Page 2
2. Directions: Write your answer in the box. A restaurant has the following choices for a morning beverage: How many different drink options are available? Mathematics Checkpoint 5.14 Page 3
3. Directions: Draw a tree diagram in the box provided to show all possible outcomes. The concession stand at a football game sells hot dogs, hamburgers and nachos as main dishes and water, soda and juice as drinks. Draw a tree diagram to show how many different combinations there are for one main dish and one drink. Mathematics Checkpoint 5.14 Page 4
4. Directions: Complete the tree diagram. Kathy is allowed a snack after school each day. She is allowed one type of snack and one beverage. Using the lists below, complete the tree diagram with all possible outcomes. Snack: Granola Bar, Yogurt, Fruit Beverage: Water, Milk Mathematics Checkpoint 5.14 Page 5
5. Directions: Circle the tree diagram you want to select. Phil was considering all the possible outfit options of pants and shirts he had to wear to school. His choices are listed below. Circle the tree diagram that correctly shows all possible outcomes. Pants: Red, Navy, Jeans Shirts: Black Sweater, White Sweater Mathematics Checkpoint 5.14 Page 6
6. Directions: Draw a tree diagram in the box provided to show all possible outcomes. For lunch you can have either a ham or a turkey sandwich. On the sandwich you can have either cheddar cheese or American cheese. Construct a tree diagram to show all the possible outcomes. Mathematics Checkpoint 5.14 Page 7
7. Directions: Complete the chart below with all possible outcomes. You are playing a game with a friend using two different spinners. One spinner includes the numbers 1, 2, 3, and 4. The other spinner has the colors red, blue, green, and yellow on it. To make a move in the game you must spin both spinners one time. Complete the chart below with all possible outcomes when using the two spinners. Mathematics Checkpoint 5.14 Page 8
8. Directions: Circle the box you want to select. Angie has 3 different colored six-sided number cubes. On the red cube she rolled a 3, on the green cube she rolled a 5 and on the yellow cube she rolled a 6. If each number is only used once, which group shows all the possible 3-digit numbers that can be created by using the numbers 3, 5, and 6? 356, 653, 536, 563 653, 563, 635 356, 365, 536, 563, 635, 653 356, 536, 653, 635, 365 Mathematics Checkpoint 5.14 Page 9
Checkpoint Solutions SOL 5.14 The student will make predictions and determine the probability of an outcome by constructing a sample space. Essential Knowledge and Skills a. b. Construct a sample space, using a list or chart to represent c. Predict and determine the probability of an outcome by constructing a sample space. The sample space will have a total of 24 or less possible outcomes Item Answer/Solution SOL/EKS Code 1 4 5.14a 2 6 5.14a Essential Knowledge and Skills 3 5.14a 4 5.14a 5 5.14a 6 5.14a Mathematics Checkpoint 5.14 Page 10
Construct a sample space, using a list or chart to represent 7 5.14b *It would also be correct to list the colors in the main squares and the numbers on the bullets 8 356, 365, 536, 563, 635, 653 5.14c Predict and determine the probability of an outcome by constructing a sample space. The sample space will have a total of 24 or less possible outcomes Mathematics Checkpoint 5.14 Page 11