Minds On

Probability number line

Explore the “MathXplosion Birthday Probability” video:

In the MathXplosion video, two people shared the same birthday.

If we plotted that on a probability line, we would say that meant it was possible for two people to share the same birthdate.

What is the likelihood that someone was born on the same day as you?

Use the probability line to describe the likelihood of this event.

What if we explored the birthdates in two Grade 2 classes? Use the probability line to plot and show the likelihood of two people in two Grade 2 classes having the same birthdate. Would the likelihood of two people having the same birthday increase or decrease? Why?

Throughout the Learning Activity, record your thoughts digitally, orally or in print.

Action

Waking up on a school day

Explore two different sets of data from the same survey to determine the mode in each set of data.

The mode is the category in a set of data that appears the most.

Two different Grade 2 classes were asked, “What time do you wake up on a school day?”

Here is a set of data from a Grade 2 Class A which has 20 students. The students in Class A recorded their data using a line plot.

What is the mode for this set of data?

Press the ‘Answer’ button to check your answer.

7:30 am has the most X’s so 7:30am is the mode.

Will the mode be the same or different for the neighbouring Grade 2 class? Why or why not?

Let’s examine the data in Class B.

Was your prediction correct? Why or why not?

April showers

When we make predictions about data, it is based on our background knowledge (what we already know) and by using clues from the data.

Let’s explore a set of data and make some predictions!

In the month of April, the weather can change quickly.

Look at the data collected on the weather for the entire month of April.

What types of activities would people be most likely to do in the month of April? Why?

What types of activities would people be most likely NOT do in the month of April? Why?

What was the mode for types of weather in the month of April?

Can you use the mode to help predict the weather for the month of May?

Record your thoughts using a method of your choice.

Consolidation

Independent task

We are going to use our knowledge of the modes of data to make predictions about when to visit a community centre.

We have collected data on the number of people visiting a community centre in October. The data was organized using a pictograph below.

Data Set for Week 1: Number of Visitors at the Community Centre

Day of the Week Number of Visitors in Week 1
Monday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Tuesday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Wednesday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Thursday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Friday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Saturday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Sunday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Key:  Picture of a stick figure represents 2 people at the Community Centre

Title: Data Set for Week 1: Number of Visitors at the Community Centre

There is a pictograph about the Data Set for Week 1 Number of Visitors at the Science Centre. The key shows that one stick figure represents 2 people at the Science Centre. The first column is, Day of the Week. The second column is, Number of Visitors in Week 1. There are 7 rows. Row 1: Monday, 3 stick figures. Row 2: Tuesday, 3 stick figures. Row 3: Wednesday, 3 stick figures. Row 4: Thursday, 3 stick figures. Row 5: Friday, 4 stick figures. Row 6: Saturday, 8 stick figures. Row 7: Sunday, 8 stick figures.

What do you notice about the table?

What is the mode for the data in Week 1?

Click the ‘Reveal’ button to check your answer.

The mode for Week 1 is 6 people.

The same number of people visited in the second week of October.

Do you think the mode will change or stay the same? Record your thoughts using a method of your choice.

Examine the data from Week 2 at the Community Centre.

Data Set for Week 2: Number of Visitors at the Community Centre

Day of the Week Number of Visitors in Week 2
Monday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Tuesday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Wednesday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Thursday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Friday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Saturday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Sunday  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure  Picture of a stick figure
Key:  Picture of a stick figure represents 2 people at the Community Centre.

Data Set for Week 2: Number of Visitors at the Science Centre

There is a pictograph about the Data Set for Week 2 Number of Visitors at the Science Centre. The key shows that one stick figure represents 2 people at the Science Centre. The first column is Day of the week. The second column is Number of Visitors in Week 2. Row 1: Monday, 3 stick figures. Row 2: Tuesday, 3 stick figures. Row 3: Wednesday, 4 stick figures. Row 4: Thursday, 3 stick figures. Row 5: Friday, 3 stick figures. Row 6: Saturday, 8 stick figures. Row 7: Sunday, 8 stick figures.

What do you notice about the table?

Record your answers to the following questions using a method of your choice:

  • What do you notice about the data?
  • Determine the mode for both sets of data.
  • Are the modes the same or different? Why do you think this is?
  • Was your prediction correct? Why or why not?
  • Do you think the mode would change or stay the same in the month of July? Why or why not?

Reflection

How do you feel about what you have learned in this activity?  Which of the next four sentences best matches how you are feeling about your learning? Press the button that is beside this sentence.

I feel…

Now, record your ideas about your feelings using a voice recorder, speech-to-text, or writing tool.