Maths DATA and possibility grade 10

Introduction

This webquest is a maths resource designed to assist grade 10 in the learning of Probability, Chance and includes some Data Collection and Representation. 

learners will be introduced to the terms probability and chance and the relevent terminology associated with the content. The lessons have been designed using the CAPS document in mathematics grade 10

Task

Your assignment is to work in gatherings and exclusively to work through various exercises to give you an unmistakable comprehension of what likelihood and chance is, the phrasing and how to decipher the data utilizing proper portrayal of the information.

Process

Lesson 1

This lesson is an introduction into probability and chance. You will learn what probability is and the terminology used to describe probability. 

Learning Intention:

We are learning to build our vocabulary in probability.

Success Criteria:

I can identify different terms to describe probability.

I can sort probability words on a transformation strip.

 

What is probability?

  • As a class we will brainstorm words that can be used to describe probability for example; most likely, least likely, certain, impossible.
  • Write the words onto post it notes and place them on the probability line (transformation strip) provided 
  • What do these probability terms mean in number form eg (certain 100%, impossible 0%)
  •  

Lesson 2

This lesson you will learn to describe events and order the likelihood of them occurring.

Learning Intention:

We are learning to describe familiar events and ordering their chances of occurring.

Success Criteria:

I can describe familiar events.

I can order the events from least likely to most likely to occur on a number line.

I can identify the half way point on a number line.

 

  • With your group recap vocabulary of probability 
  • Using post it notes compile a list of ten questions (one question per note) related to your daily routine, using appropriate probability vocabulary to describe events.
  • Get a transformation strip and place 0 on one end and 1 on the other end. 
  • Identify the half way point on the number line 
  • Next you will  order them from least likely to most likely by placing your post it notes on a number line (0=least 1=most).  

 Example Questions

Will school finish at 2:45pm?

Will it rain today?

 

When you have completed the task. Logon to your study ladder account and work through Chance and Probability

Lesson 3

This lesson  you will identify everyday events where one cannot happen if another event happens. 

Learning Intention:

We are learning to identify two events that cannot happen at the same time.

Success Criteria:

I can identify two events that are impossible to happen at the same time.

I can work with my peers to list events and share my ideas.

 

In groups discuss the weather 

For example if it is raining is it possible for the grass to be dry?

If it is night time is it possible to see the sun?

 

Your group will need:

A sheet of A3 paper 

Texts

What you need it do; 

  • Fold the paper in half
  • Use the texts to draw a line down the middle of the paper
  • Label the two columns most likely and least likely. 
  • With your group brainstorm ideas and place them in the correct columns  

Share your ideas with the class. Explain why it’s not possible for both to happen at the same time

When you have completed the task. Logon to your study ladder account and work through Chance and Probability 

 

Lesson 4

This lesson you will be creating a survey to collect and record data 

Learning Intention

We are learning to collect data through surveys

Success Criteria

I can create a survey in a group

I can use surveys to collect data

 

  • In your group you will need to open a word document and create a survey. For example (Which month is most popular for birthdays, favourite foods, what sports children like) 
  • Decide on how you are going to record data eg, tally 
  • You will need to print a copy for each group member
  •  Move around the classroom quietly collecting the data and recording information on your sheet.
  • Compare your finding with your group and clarify data is correct 

 

When you have completed the task. Logon to your study ladder account and work through Chance and Probability 

 

 

Lesson 5

Construct suitable data displays with and without digital technologies

 Learning Intention:

 

We are learning to create data displays using a range of representations.

Success Criteria:

I can create a variety of drawn graphs.

I can create data displays using computer programs.

 

You will use the information collected from your surveys from the previous lesson to create graphs in your maths books. (Remember to use the squares in your books to draw your graph neatly and presentably).  

When  you have completed your graph in your book you will then create a bar graph using an ICT program.

Teacher will model the steps required to enter collected data into an excel document to create a bar graph. Steps will be written on the board for you to follow.

Evaluation

Assessment Rubric Criteria

 1             2     3     4       5  
Completion of tasks All tasks and extension activities  were completed to a high standard All tasks were completed to a satisfactory standard Some tasks were completed to a satisfactory standard Some tasks attempted but not completed to a satisfactory standard Tasks were not attempted 
Shows understanding of probability and chance Shows an excellent understanding of all concepts Shows satisfactory understanding of most concepts Shows satisfactory understanding of some concepts Shows little understanding of concepts Shows no understanding of concepts 
Presentation of data representation Shows excellent and accurate understanding of how to present data in graph form  Shows satisfactory and accurate understanding of how to present data in graph form  Shows some accuracy and understanding of how to present data in graph form  Shows little understanding of how to present data in graph form  Shows no understanding of how to present data in graph form

 

Conclusion

By the end of lesson, learners will be able to identify dependent and independent events. They will be able to describe different methods for data collection and representation, and evaluate their effectiveness.

Credits

Teacher Page

Data and Probability

Chance

Content Description

Describe possible everyday events and order their chances of occurring

  • Elaborations
  • using lists of events familiar to grade 10 leaners and ordering them from ‘least likely’ to ‘most likely’ to occur

 

Content Description

 Identify everyday events where one cannot happen if the other happens

Elaborations

  • using examples such as weather, which cannot be dry and wet at the same time

 

 

Data representation and interpretation

Content Description

Select and trial methods for data collection, including survey questions and recording sheets

Elaborations

  • comparing the effectiveness of different methods of collecting data
  • choosing the most effective way to collect data for a given investigation

 

Content Description

Construct suitable data displays, with and without the use of digital technologies, from given or collected data. Include tables, column graphs and picture graphs where one picture can represent many data values

Elaborations

  • exploring ways of presenting data and showing the results of investigations