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D1.3 display sets of data, using one-to-one correspondence, in concrete graphs and pictographs with proper sources, titles, and labels
D1.5 analyse different sets of data presented in various ways, including in tally tables, concrete graphs, and pictographs, by asking and answering questions about the data and drawing conclusions, then make convincing arguments and informed decisions
Key Concepts
Collecting and Organizing Data
collect and organize primary data (e.g., data collected by the class) that is categorical
(i.e., that can be organized into categories based on qualities such as colour or hobby), and display the data using one-to-one correspondence, prepared templates of concrete graphs and pictographs (with titles and labels), and a variety of recording methods (e.g., arranging objects, placing stickers, drawing pictures, making tally marks);
read primary data presented in concrete graphs and pictographs, and describe the data using comparative language (e.g., more students chose summer than winter as their single favourite season);
pose and answer questions about collected data.
SEL: use math vocabulary with their peers to describe and analyze data collected.
SEL: share mathematical ideas and listen to others when sharing their mathematical ideas
I can…
collect information from my class and make a graph using the data I collected.
look at my data and describe the data to my classmates and teacher.
talk about math with each other and share our thinking
share my ideas and listen to others
think carefully and creatively and make judgements about whether our math ideas make sense
collection of students’ favourite storybooks
interlocking cubes (1 per student)
other ways to show their choices (sticky notes, pictures symbols, cards)
BLM: Activities for Favourites Day (1 per group of 3 students)
BLM: Graphs for Favourites Day (1 per student)
concrete graph
Pictograph
Data
many, most, more
few, fewer, fewest
less, least
(From: https://stevewyborney.com)
Explain the following to the class:
“In a few days, our class will have a special Favourites Day when we will enjoy some of our favourite activities, such as reading a favourite story, playing a favourite game, and listening to a favourite song. To help us decide what we should do on our special day, we need to collect and examine information about our favourite activities. We will identify a few favourite activities, and then everyone will have a chance to vote for his or her favourite activities. On our special day, we will do the activities that receive the most votes.”
Show students a collection of familiar storybooks. Ask students to identify three or four favourite storybooks in the collection, and display these books on a ledge.
Next, give each student an interlocking cube, and ask students to place their cubes next to the story they would like to listen to. Snap together the cubes that are beside each book, and stand each column of cubes next to the corresponding book. (Distance learning teachers could have students use the Zoom whiteboard, and students can place an icon next to their vote. The teacher could use the Mathies Colour Tile app, the Mathies Set Tool app or Explain Everything (with the virtual snap cubes to display the data).
Guide students in selecting a favourite game and song for the special day:
Have students identify three or four possible choices.
Have students vote for their choice. Use a different data-collection method each time. (See suggestions illustrated in the diagram below).
Display the data for students to use in Working On It.
After students have voted for their choice of activities, tell them you need their help in deciding which activities to do on Favourites Day. Divide students into groups of three, and provide each group with a copy of BLM: Activities for Favourites Day. Explain that each group needs to complete the report by looking at the data that have been collected. Encourage students to take turns recording information on the sheet.
As students are working, ask questions, such as the following:
“How does the information in the graphs help you decide which activities the class should do?”
“According to the graph, which song should we listen to? Why?”
“If we listen to two favourite songs, what should they be? Why?”
“Which song should we not listen to? Why?”
“What will you recommend in your report?”
Reconvene the class after groups have completed BLM: Activities for Favourites Day. Comment that you would like to hear reports from different groups to see whether students agree on which activities to do on Favourites Day.
Have different groups read their reports on “A Story for Favourites Day”. Ask groups to explain how they made decisions for their report. Discuss whether groups have all chosen the same story, and talk about reasons why groups might not agree. (Some students might ignore the most popular choice shown in the graph if they prefer a different story.)
Continue the discussion by having groups present their reports about games and songs for Favourites Day. Emphasize the idea that graphs provide information that can be used to make decisions.
At a later date, hold a Favourites Day during which you provide opportunities for students to enjoy their favourite activities.
Observe students to assess how well they:
compare data in concrete graphs and pictographs;
describe data presented in concrete graphs and pictographs;
use data presented in concrete graphs and pictographs to make decisions and reach conclusions.
Primary SEL Self Assessment (English) Primary SEL Self Assessment (French)