Frequency charts, also known as bar graphs, are a great way to visualize data. They are commonly used in everyday life to present information in a format that is easy to understand. However, interpreting frequency charts can be a challenge for students, especially when it comes to multi-step problems. Here are some activities that can help students improve their skills in interpreting frequency charts.

**1. Ask relevant questions and make predictions:**

Before the students begin solving a problem that involves interpreting a frequency chart, ask them to make predictions about what they are going to find. Encourage them to ask questions that will help them understand the data. For example, if the chart shows the number of cars sold by a dealership, they can ask questions such as; “Which car was sold the most?”, “What percentage of cars sold were red?”.

**2. Formulate the problem:**

Once the students have formed their questions, help them to formulate the problem using the data from the frequency chart. The problem must be clear and concise, and it should be written in a way that is easy to understand. For example, if the chart shows the number of cars sold by a dealership, the problem could be formulated as: “What percentage of cars sold by the dealership were red?”

**3. Analyze the data:**

Students should be guided on how to analyze the data presented in the chart. They should be able to read the correct numbers and percentages, and identify patterns in the data. They should also be able to compare and contrast different data points to get a better understanding of the data.

**4. Solve multi-step problems:**

Once students have analyzed the data, they should be able to use it to solve multi-step problems. This type of problem will require them to use their problem-solving skills to arrive at the correct conclusion. For example, if the chart shows the number of cars sold by a dealership, a multi-step problem could be: “If the dealership sold 1200 cars total, how many of those cars were red?”

**5. Discuss the results:**

After the students have solved the problem, it is important to discuss the results with the class. Encourage them to explain their thought process, and discuss different ways of arriving at the same conclusion. This will help students to understand that there are often multiple ways of solving a problem using frequency charts.

In conclusion, interpreting frequency charts can be a challenge for students. However, by using these activities, students can improve their skills in analyzing and interpreting data presented in frequency charts. These skills will not only help them in math class but also in everyday life, where charts and graphs are commonly used to present information.