Grade 5Mathematics

Data Representation

Pictographs, bar graphs, pie charts; reading, drawing and interpreting data.

📖 4 min read · 3 worked examples · 4 practice questions

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The lesson

Today we're starting our lesson on Data Representation. By the end of this class you'll be able to read and create pictographs, bar graphs, and pie charts, using examples that matter to us in Kenya. We will understand what pictographs, bar graphs, and pie charts are, learn how to interpret the information they show, and then practice drawing our own simple graphs with Kenyan data—like the number of fruits sold at a local market. Notice the bullet that says 'Understand pictographs, bar graphs and pie charts.' That's our first step—knowing the symbols and shapes each type uses. The second bullet reminds us to read and interpret data. We'll practice asking questions like: 'Which fruit was sold the most?' or 'What percentage of the total does mango represent?' And the last point is about drawing our own graphs using real Kenyan contexts—maybe a bar graph of water usage in different counties or a pie chart of favorite school subjects. If anyone has questions as we go, just raise your hand. Let's get started and explore how data can tell us stories about our everyday lives.

Class, let's talk about why we represent data. Representing data helps us see patterns and make decisions in our everyday lives. Notice these points: it helps us spot trends, it guides decisions, and we use it in school reports, market stalls, and even government surveys. Here's a simple bar chart showing the number of students in each class at a Kenyan primary school. Each bar represents a class, and the height tells us how many students are in that class. What patterns can you see? For example, notice that Class 3 has the most students, while Class 5 has fewer. This tells the school where they might need more resources. By turning numbers into visual bars, we can quickly understand the story behind the data and decide what actions to take.

Everyone, let's dive into pictographs. First, remember: one picture always stands for a fixed number of items. We read a pictograph by counting how many symbols appear, just like counting mango icons in a market chart. Here's our example from a Nairobi market: each mango icon represents five mangoes sold. If you see three icons, that means fifteen mangoes were sold that day. Notice how the symbols line up neatly—this makes it easy to compare quantities at a glance. To recap, a pictograph translates pictures into numbers, we read it by counting symbols, and our mango‑sale example shows how useful it can be for real‑world data.

Class, we've come to the end of our lesson. Let's quickly recap what we've learned about pictographs, bar graphs, and pie charts. First, each of these visual tools helps us show data in a clear and useful way—whether it's the number of bananas sold, the height of the students, or the favorite sports in our community. Remember, before you start reading any graph, always check the key or legend. It tells you what each colour or symbol represents, just like a map legend helps you understand the symbols on a map. For a little homework adventure: try drawing a graph at home about your family's weekly meals. You could use a pictograph for the types of meals, a bar graph for the number of meals each day, or a pie chart for the proportion of fruits versus vegetables. Great work today, everyone!

Worked examples

– Pictograph

Class, let's work through our first pictograph example together. First, we're told that one apple picture on the chart represents five real apples. Next, the total number of apples sold at the market that day was thirty‑five. To find out how many apple symbols we need, we divide the total apples by the value of each picture: 35 divided by 5 equals seven symbols. The pictograph would show seven apple pictures to represent the thirty‑five apples sold. Great job, everyone—now you know how to translate a real‑world quantity into a pictograph using a simple conversion factor.

– Bar Graph

Here we have our worked example titled Bar Graph: Water Use. This graph shows how much water each household in a Maasai village used during three weeks. First, let's identify the longest bar. Then we'll compare the amounts for weeks 1 and 3, and finally answer the question: which week used the most water? Notice the tall bar over the middle column—that's week 2. It reaches higher than the bars for weeks 1 and 3, so week 2 used the most water. Great job spotting the longest bar! By comparing the heights, we see week 1 and week 3 are shorter, confirming that week 2 had the highest water usage. To recap, the key steps were: identify the longest bar, compare the relevant weeks, and conclude that week 2 used the most water. Done, everyone.

– Pie Chart

Everyone, let's dive into our worked example on reading a pie chart. First, notice that each slice of the pie represents a percentage of the class's favourite subjects. At this chart: which slice is the largest? That tells us which subject most pupils chose. We'll calculate the number of students who prefer that subject. We multiply the total class size, 40 pupils, by the percentage shown for the biggest slice. If the largest slice is 35%, that means 0.35 × 40 = 14 students love that subject. Great job following each step!

Practice questions

  • First, remember the rule for pictographs: each icon stands for a certain number of items. In Question 1, each carrot icon equals five carrots, so simply count the icons for Market B and multiply by five.
  • For the bar graph in Question 2, look at the heights of the bars for Nairobi and Mombasa each month. Compare the lengths to decide which statements are true.
  • Asks you to find the missing slice of a pie chart. Add the given percentages, subtract from 100 %, and you'll know the portion represented by the unlisted transport modes.
  • Finally, Question 4 is a hands‑on task. Convert the table's numbers into a pictograph by dividing each day's mango count by the 3‑mangos‑per‑icon value, then round to the nearest whole icon.

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