Virginia Mathematics Checkpoint Assessment MATHEMATICS 3.17 Strand: Probability and Statistics Standards of Learning Blueprint Summary Reporting Category Number & Number Sense Computation & Estimation Measurement & Geometry Grade 3 SOL 3.1(a-c), 3.2, 3.3(a-c) 3.4, 3.5, 3.6, 3.7 3.8, 3.9(a-d), 3.10(a-b), 3.11(a-b), 3.12, 3.13, 3.14, 3.15, 3.16 3.17(a-c), 3.18, 3.19, 3.20(ab) None Probability, Statistics, Patterns, Functions, & Algebra Excluded from Testing Number of Operational Items Number of Field-Test Items Total Number of Items on Test Number of Items 10 10 11 9 40 10 50 Virginia Mathematics SOL Test Cut Scores Failing Scores Test Math 3 Math 4 Math 5 Math 6 Math 7 Math 8 Algebra I Geometry Algebra II Basic # correct % correct 16 of 40 17 of 50 18 of 50 16 of 50 17 of 50 17 of 50 n/a n/a n/a 40% 34% 36% 32% 34% 34% n/a n/a n/a Passing Scores Proficient Minimum Minimum # correct % correct 26 of 40 65% 31 of 50 62% 31 of 50 62% 28 of 50 56% 31 of 50 62% 31 of 50 62% 25 of 50 50% 25 of 50 50% 27 of 50 54% Mathematics Checkpoint 3.17 Advanced Minimum Minimum # correct % correct 36 of 40 90% 45 of 50 90% 45 of 50 90% 45 of 50 90% 45 of 50 90% 46 of 50 92% 45 of 50 90% 44 of 50 88% 43 of 50 86% Page 1 Checkpoint Items 1. Directions: Circle your answer. You must circle all correct answers. Read each question below. Circle the questions that could be used to investigate data and create a graph. a) How many hours a week does each third grader at Harpers Elementary School watch TV? b) How long do brownies bake in the oven? c) What time does each third grader at Harpers Elementary School go to bed each night? Mathematics Checkpoint 3.17 Page 2 2. Directions: Circle the box with the correct answer. Read and interpret the line plot. Circle the statement that is true based on the data. Number of Hours Spent Watching TV by Third Graders More students watched five hours of TV than three hours of TV. Two students watched six hours of TV. The most students watched either two or three hours of TV. Mathematics Checkpoint 3.17 Page 3 3. Directions: Circle your answer. Study the graph below. Circle from the choices in the shaded box the best title for the graph. Number of Plants Grown Plant Growth in One Month Favorite Plants Mathematics Checkpoint 3.17 Page 4 4. Directions: Complete the chart below the graph. Look at the pictograph. Use the information provided in the graph to complete the chart below. Favorite Types of Books Read by Third Graders Types of Books Read Number of Students Sports 20 10 Biographies Mathematics Checkpoint 3.17 Page 5 5. Directions: Complete the chart below the graph. Look at the pictograph. Use the information provided in the graph to complete the chart below. Favorite Kind of Candy Favorite Kind of Candy Skittles Number of Students 8 6 Smarties Mathematics Checkpoint 3.17 Page 6 6. Directions: Complete the chart below the graph. The vacation spots that students visited over the summer are shown in the graph. Use it to complete the chart. Summer Vacation Spots Summer Vacation Spots Beach Grandma’s Water Park Lake Park Number of Students Mathematics Checkpoint 3.17 Page 7 7. Directions: Write your answer on the blank line after each question. Study the graph. Use it to answer the questions that follow. Favorite Ice Cream Flavors a) What is the title of the graph? b) How many flavors of ice cream are given and what are they? c) How many students like Mint flavored ice cream? d) Which flavor did most students prefer? Mathematics Checkpoint 3.17 Page 8 8. Directions: Circle the box with the correct answer. Read and interpret the graph. Circle the statement that is true based on the data. Favorite Sports A total of 18 students like either soccer or basketball. Five students like tennis. Thirty students were surveyed to complete the graph. Mathematics Checkpoint 3.17 Page 9 Checkpoint Solutions SOL 3.17 The student will a) collect and organize data, using observations, measurements, surveys, or experiments; b) construct a line plot, a picture graph, or a bar graph to represent the data; and c) read and interpret the data represented in line plots, bar graphs, and picture graphs and write a sentence analyzing the data. Essential Knowledge and Skills a. Formulate questions to investigate b. Design data investigations to answer formulated questions, limiting the number of categories for data collection to four c. Collect data, using surveys, polls, questionnaires, scientific experiments, and observations d. Organize data and construct a bar graph on grid paper representing 16 or fewer data points for no more than four categories e. Construct a line plot with no more than 30 data points f. Read, interpret and analyze information from line plots by writing at least one statement g. Label each axis on a bar graph and give the bar graph a title. Limit increments on the numerical axis to whole numbers representing multiples of 1, 2, 5, or 10 h. Read the information presented on a simple bar or picture graph (e.g., the title, the categories, the description of the two axes) i. Analyze and interpret information from picture and bar graphs, with up to 30 data points and up to 8 categories, by writing at least one sentence j. Describe the categories of data and the data as a whole (e.g., data were collected on four ways to cook or prepare eggs scrambled, fried, hard boiled, and egg salad eaten by students) k. Identify parts of the data that have special characteristics, including categories with the greatest, the least, or the same (e.g., most students prefer scrambled eggs) l. Select a correct interpretation of a graph from a set of interpretations of the graph, where one is correct and the remaining are incorrect. For example, a bar graph containing data on four ways to cook or prepare eggs eaten by students show that more students prefer scrambled eggs. A correct answer response, if given, would be that more students prefer scrambled eggs than any other way to cook or prepare eggs Item Answer/Solution SOL/EKS Code 1 a, c The most students watch either two or three hours of TV. 3.17aa 2 3 Plant Growth in One Month Essential Knowledge and Skills Formulate questions to investigate Construct a line plot with no more than 30 data points 3.17be 3.17bg Label each axis on a bar graph and give the bar graph a title. Limit increments on the numerical axis to whole numbers representing multiples of 1, 2, 5, or 10 Mathematics Checkpoint 3.17 Page 10 Types of Books Read 4 5 6 Read the information presented on a simple bar or picture graph (e.g., the title, the categories, the description of the two axes) Number of Students Sports 10 Fiction 20 Animal 10 Biographies 5 Favorite Kind of Candy Skittles M&Ms Lollipop Smarties 3.17ch Read the information presented on a simple bar or picture graph (e.g., the title, the categories, the description of the two axes) Number of Students 4 8 6 4 Summer Vacation Spots Beach Grandma’s Water Park Lake Park 3.17ch Read the information presented on a simple bar or picture graph (e.g., the title, the categories, the description of the two axes) Number of Students 8 10 4 6 2 3.17ch 7a Favorite Ice Cream Flavors 3.17ch 7b 5; mint, vanilla, strawberry, chocolate, and peach 3.17cj 7c 2 3.17ch 7d Vanilla 3.17ck 8 A total of 18 students like either soccer or basketball. 3.17ci Read the information presented on a simple bar or picture graph (e.g., the title, the categories, the description of the two axes) Describe the categories of data and the data as a whole (e.g., data were collected on four ways to cook or prepare eggs scrambled, fried, hard boiled, and egg salad eaten by students) Read the information presented on a simple bar or picture graph (e.g., the title, the categories, the description of the two axes) Identify parts of the data that have special characteristics, including categories with the greatest, the least, or the same (e.g., most students prefer scrambled eggs) Analyze and interpret information from picture and bar graphs, with up to 30 data points and up to 8 categories, by writing at least one sentence Mathematics Checkpoint 3.17 Page 11