1st Grade Data Analysis and Probability Informal Assessment Tasks M.O.1.5.1 Identify a real life situation to gather data over time; make a hypothesis as to the outcome; design and implement a method to collect, organize, and analyze the results to make a conclusion; evaluate the validity of the hypothesis based upon collected data; design a mode of presentation using a pictograph and a bar graph (with and without technology). Students at the distinguished level in first grade mathematics identify a real life situation to gather data over time; make a hypothesis as to the outcome; design and implement a method to collect, organize, and analyze the results to make a conclusion; evaluate the validity of the hypothesis based upon collected data; design a mode of presentation using a pictograph and a bar graph (with and without technology). They convey their findings in oral and written form. Teacher Information NOTE: These are steps you can follow. Identify some examples of real life situations to gather data over time. Some examples might be the daily weather, daily attendance, hot lunch/cold lunch, or white milk/chocolate milk. Ask the students to make a hypothesis (an explanation, which can be tested by further investigation) as to the outcome before the data is collected. Design and implement a method to collect, organize, and analyze the results to make a conclusion. Revised June 2008 This checklist may be helpful when designing and implementing a method to collect and organize the data. Examples Real graph (graph made with physical objects) Tally graph Table or chart Pictograph Bar graph Design a mode of presentation-use a pictograph or a bar graph with or without technology. Evaluate the validity of the hypothesis based upon collected data. Task 1 Students are asked to graph the daily weather each morning. At the end of each month, they use the bar graph to answer questions and identify graph information to support their answers. At the beginning of each new month, students can compare the past weather graphs. They can make a hypothesis as to the outcome of the new month’s weather before the data is collected. At the end of the month, they can evaluate the validity of the hypothesis based upon collected data. The September Weather Graph on the next page can be changed monthly. You can delete the month’s name and write the next month. The questions can be changed, too. Revised June 2008 Name______________________ Date _________ September Weather Graph 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 sunny cloudy rainy Revised June 2008 snowy Name______________________ Date _________ Answer these questions. 1. How many days in September were sunny?_____ 2. How many days in September were rainy?_____ 3. How many days in September were cloudy?_____ 4. How many total days was the weather recorded?_____ 5. How many more sunny days than rainy days?_____ Revised June 2008 Task 2 M.O.1.5.1 Identify a real life situation to gather data over time; make a hypothesis as to the outcome; design and implement a method to collect, organize, and analyze the results to make a conclusion; evaluate the validity of the hypothesis based upon collected data; design a mode of presentation using a pictograph and a bar graph (with and without technology). Weather in May Legend Record Days Sunny Day Cloudy Day Rainy Day 1. Use the pictograph provided above to answer the following questions. (Teacher reads questions to students.) a. How many rainy days were recorded in May? b. How many sunny days were recorded in May? c. How many cloudy days were recorded in May? d. How many total days was the weather recorded? e. How many more sunny days were there than rainy days? Revised June 2008 Name______________________ Date _________ Task 2-Student Page Use pictograph below to answer questions. Legend Weather in May Record Days Sunny Day Cloudy Day Rainy Day a. How many were recorded in May? b. How many c. How many d. How many + + (total days) was the weather recorded? _____ How many more sunny days were there than rainy e. days? were recorded in May? _____ _____ were recorded in May? _____ - _____ Revised June 2008 NAME______________________ DATE _________ Task 3 M.O.1.5.1 Identify a real life situation to gather data over time; make a hypothesis as to the outcome; design and implement a method to collect, organize, and analyze the results to make a conclusion; evaluate the validity of the hypothesis based upon collected data; design a mode of presentation using a pictograph and a bar graph (with and without technology). The 1st grade class was asked about their favorite season. They made this pictograph of the results. Favorite Seasons Spring Summer Fall Winter How many students chose each season? Spring Summer Fall Winter ________ ________ ________ ________ How many students are in the 1st grade? ________ Revised June 2008 Name______________________ Date_________ Task 4 M.O.1.5.1 Identify a real life situation to gather data over time; make a hypothesis as to the outcome; design and implement a method to collect, organize, and analyze the results to make a conclusion; evaluate the validity of the hypothesis based upon collected data; design a mode of presentation using a pictograph and a bar graph (with and without technology). Students are asked to take a survey in their class. They will first make a hypothesis about the favorite season of their classmates. They will create a Tally Chart as they gather the information. They will analyze the results to make a conclusion. Favorite Seasons Tally Marks Total Spring Summer Fall Winter How many students chose each season? Spring ________ Summer ________ Fall ________ Winter ________ How many students are in the 1st grade? ________ Revised June 2008 Name______________________ Date _________ Task 5 M.O.1.5.1 Identify a real life situation to gather data over time; make a hypothesis as to the outcome; design and implement a method to collect, organize, and analyze the results to make a conclusion; evaluate the validity of the hypothesis based upon collected data; design a mode of presentation using a pictograph and a bar graph (with and without technology). Students are asked to take a survey in their class Billy asked his friends about their favorite pizza topping. He made this pictograph of the results. How many students chose each topping? Cheese _________ Sausage _________ Pepperoni _________ Explain the results.___________________________ Do you think if you took a survey in your class, the results would be the same?__________ Revised June 2008 Name______________________ Date _________ Task 6 M.O.1.5.1 Identify a real life situation to gather data over time; make a hypothesis as to the outcome; design and implement a method to collect, organize, and analyze the results to make a conclusion; evaluate the validity of the hypothesis based upon collected data; design a mode of presentation using a pictograph and a bar graph (with and without technology). Students are asked to take a survey in their class Students are asked to take a survey in their class. They will first make a hypothesis about the favorite pizza topping of their classmates. They will create a Tally Chart and a Bar Graph to display the information. They will analyze the results to make a conclusion. Favorite Pizza Topping Tally Marks Total Cheese Sausage Pepperoni Favorite Pizza Topping Cheese Sausage Pepperoni Number of Children 1 2 3 4 5 6 7 8 9 10 Were the results the same?_______ Why or Why not? __________________________________ Revised June 2008 M.O.1.5.1 Identify a real life situation to gather data over time; make a hypothesis as to the outcome; design and implement a method to collect, organize, and analyze the results to make a conclusion; evaluate the validity of the hypothesis based upon collected data; design a mode of presentation using a pictograph and a bar graph (with and without technology). Students are asked to take a survey in their class Academic Prompt- Math Class Lesson You are a student in first grade. Your teacher asked you to think of a survey question to ask at least ten classmates. Gather the data and use the data to generate a bar graph with or without technology. When you are finished, write four questions you can answer by looking at your bar chart. This is a great site the children can use to generate their bar graphs on the computer. http://www.amblesideprimary.com/ambleweb/mentalmaths/grapher.html ( Grapher - interactive column graph maker, students can change values and labels) Revised June 2008 Academic Prompt- Math Class Lesson-Rubric Distinguished Exceeds the objectives of the task. Demonstrates a high level of understanding. Students can think of a survey question, gather the data and use the data to generate a bar graph with or without technology. They can write four questions about their graph. They convey their findings in oral and written form. Mastery Meets objectives of the task. Demonstrates a proficient level of understanding. Students can think of a survey question, gather the data and use the data to generate a bar graph with or without technology. They can write four questions about their graph. Partially meets the objectives of the task. Demonstrates some understanding. Students can think of a survey question, gather some of the data and use it to generate a bar graph with or without technology. Partial Mastery Novice Attempts parts of the task, but does not meet the objectives of the task. Demonstrates poor or incorrect understanding. Revised June 2008 M.O.1.5.2 conduct simple experiments, record data on a tally chart or table and use the data to predict which of the events is more likely or less likely to occur if the experiment is repeated. Students at the above mastery level in first grade mathematics create simple probability experiments and record data in charts. They make predictions based on the results and present their findings. Students at the distinguished level in first grade mathematics create simple probability experiments and make predictions based on their results. They present their findings and justify their solutions. Task 1 Kay will use this spinner to predict which ball the students will play with on the playground. Use the spinner 10 times and record the results on the tally chart. Revised June 2008 Name______________________ Date _________ Task 1-Student Page Tally Marks Total Soccer ball Football Baseball Write the ball they are most likely play with on the playground. _________ Predict which ball they are less likely to play with on the playground if the experiment is repeated. ________________ Revised June 2008 Name______________________ Date _________ Task 2 M.O.1.5.2 conduct simple experiments, record data on a tally chart or table and use the data to predict which of the events is more likely or less likely to occur if the experiment is repeated. Look at these two spinners. Red Blue Red Yellow Blue Yellow X Y On which spinner is it more likely to spin red? Spin each spinner 10 times and record the results. Spinner X Red Tally Marks Total Tally Marks Total Blue Yellow Spinner Y Red Blue Yellow Revised June 2008 Red Yellow Blue Red Blue Yellow Revised June 2008 Name______________________ Date _________ Based on your results, which is true? Circle one: A. Spinner X landed on red more times than Spinner Y. B. Spinner Y landed on red more times than Spinner X. C. Spinner X and Spinner Y landed on red the same number of times. Did this match your prediction?___________ If you spun each spinner 50 more times, what is most likely to happen? Explain your thinking. Revised June 2008