Mathematics · 2nd Class

Active learning ideas

Interpreting Block Graphs

Let's turn your pupils into data detectives! This topic helps them visually interpret information and answer questions using colourful and engaging block graphs.

• NCCA Curriculum Specifications
• PSMC: Data - Representing and interpreting data - Read and interpret block graphs

• 15–30 min
• Pairs → Whole Class
• 3 activities

Activity 01

• Think-Pair-Share
• 30 min · Small Groups

Our Favourite Things

As a whole class, decide on a question, like 'What is our favourite season?'. Pupils vote, you record the results on a tally chart, and then pupils work in small groups to build a physical block graph using interlocking cubes or Lego on a large paper grid.

Identify how many more people chose blue than red from the block graph.

Facilitation Tip

Ensure each group has a copy of the tally chart to refer to as they build their graph.

What to look for

Observe pupils during the 'Graph Detectives' activity. Listen to their discussions and note their ability to use vocabulary correctly and accurately find information on the graph.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

Activity 02

• Think-Pair-Share
• 20 min · Pairs

Graph Detectives

In pairs, pupils are given a pre-made block graph and a set of 'clue' questions. They must work together to read the graph and find the answers, writing them down on a worksheet.

Explain what the tallest bar on the graph means.

Facilitation Tip

Laminate the graphs so they can be reused and provide a mix of simple and more challenging questions.

What to look for

Provide pupils with an unfamiliar block graph and a short worksheet with 3-4 questions. Questions should include a 'how many' question, a 'which is most popular' question, and a 'how many more' question.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

Activity 03

• Think-Pair-Share
• 15 min · Whole Class

Human Block Graph

Use masking tape to create a large grid on the classroom floor. Pose a question with 3-4 possible answers (e.g., 'What is your favourite fruit: apple, banana, or orange?') and have pupils line up in the correct column to form a human block graph.

Compare the information on a block graph with the original tally chart.

Facilitation Tip

This is a great active maths break and helps pupils physically experience the comparison between categories.

What to look for

After a lesson, ask pupils to do a 'fist of five' self-rating. They show five fingers if they feel very confident reading graphs, and fewer fingers to show less confidence. This helps gauge overall class understanding.

• Understand
• Apply
• Analyze
• Self-Awareness
• Relationship Skills

A few notes on teaching this unit

Start by creating graphs based on pupils' own lives and interests, like favourite foods or colours. Always begin with a tally chart to make the link between data collection and representation clear. Use physical manipulatives like cubes before moving to paper, and model the 'how many more' concept by physically comparing the block towers.

After these activities, your pupils will be able to read a block graph to find out which category is most popular and how many more items are in one category than another.

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Watch Out for These Misconceptions

• When asked 'how many more chose blue than red?', pupils add the two numbers together instead of finding the difference.

  Use physical blocks. Build the two towers for 'blue' and 'red' side-by-side. Ask pupils to point to the 'extra' blocks on the taller tower and count only those to find the difference.

• Pupils start counting the vertical axis from 1 instead of 0, causing them to misread the total for each bar.

  Explain that the number on the line represents the top of the block. The first block fills the space from 0 to 1, so its value is 1. Practise counting the blocks themselves, touching each one, to verify the total.

• Pupils think the label on the horizontal axis (e.g., 'Cats') represents a single cat, rather than a category that multiple people voted for.

  Constantly reinforce the language: 'This column shows us how many people chose cats as their favourite'. Refer back to the original data collection question to clarify what is being counted.

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Methods used in this brief

• Think-Pair-Share