Graphing Activities That Spark Math Conversations

“Look at the graph. Now answer question number one.”

Sound familiar?

Graphing can quickly become a routine of filling in bars, counting squares, and working through a page of questions. Students may know exactly what to do, but that does not always mean they are thinking very much about the data.

But graphs give us so much more to talk about.

What if students had to figure out why data needs to be organized? What if they investigated questions they actually cared about? What if they had to figure out what a graph was telling them instead of simply answering the questions underneath it?

Here are some of my favourite ways to make graphing more hands-on and meaningful while getting students to do more than answer questions.

Start With the Data

Before students make a graph, give them a reason to organize the data.

One of my favourite minilessons is to give each group a small pile of coloured blocks or cubes and ask them to organize them in some way. Then ask them to find another way. And another. Before long, students usually start building bar graphs, both horizontally and vertically.

Which way makes the information easiest to understand? Why?

My next minilesson gives students a table of unorganized data. Try a collection of class favourites with responses such as ice cream, cookies, potato chips, and carrot sticks listed in a random order.

What does this data tell us?

It is surprisingly difficult to answer when everything is jumbled together. This gives you a natural opening to talk about data tables and tally marks and why we organize information before representing it.

Now we are ready to introduce the visual displays and vocabulary that students will use throughout the unit. 

Keep anchor charts and word cards visible as students work so they have the language they need to talk about what they see and explain their thinking.

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Give Students a Question Worth Answering

Once students understand why we organize data, move into an activity built around a question they actually want to investigate.

Which recess activity is most popular in our class? How do students usually get to school? Which book genre do we read most often?

Have students collect first-hand data by asking their classmates and recording their responses. Then organize the results using a list, chart, or tally marks.

Now students have a real question, data they collected themselves, and a reason to find out what the results show.

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Represent and Analyze

To help students understand representing, start with a Mystery Graph!

Instead of giving students a graph with the context already filled in, try giving them a graph with the context removed. No title. No question. Just the data.

What do you think this graph could be about? What clues do you see? What title would you give it?

Students can look at the categories, scale, and quantities to come up with possibilities and explain their thinking. Then reveal what the graph actually represents and compare it with their ideas.

This is a great way to get students looking closely at a graph before they start answering questions. They have to think about what the data represents, use mathematical vocabulary, and explain how they know.

Here are ways to put different types of graphs to work with data students can connect to:

Pictographs & Bar Graphs

Track your class's reading: Have students keep track of the books they choose during Reading Time for a week. At the end, organize the results by title or genre and turn the data into a pictograph or bar graph. Which books or genres were most popular?

Line Graphs

Become the class meteorologist: Choose two cities and have a different student record the temperature in each city each day. Students add the temperatures to their graphs throughout the week, then compare how the two lines changed.

Line Plots

How far can you jump?: Have students make several jumps and measure the distance of each jump to the nearest centimetre. Put all of the measurements on a line plot, then look at where the data falls. Which distance occurred most often? What is the range of the results?

Fit Graphing Into Your Math Block

Graphing can fit right into your regular Math routine (Minilesson → Activity → S.T.A.R. Rotation → Reflection).

Use your lesson slides for the minilesson, an activity or game for reinforcing concepts, your rotation for additional practice, and a journal prompt or exit slip for reflection.

Ready-to-Teach Data & Graphing Resources

Ready to put it all together? I have done the prep for you.

My Data Unit & Graphing Activities bundle brings together lesson slides, activities, games, worksheets, vocabulary cards, journal prompts, and exit slips.

Use the pieces together for a complete unit, or choose what fits your math block each day.