Term 3

The focus for Term 3 Mathematics is Fractions and Statistics

Students will be learning Fraction and Statistic strategies in mixed class groups and the progressions they are focusing on may be dependent on the group they are in.

The focus progressions for this term are listed below.

FRACTIONS:

• Identify, read, write, and represent:

Fractions, decimals (to two decimal places), and related percentages.

• Compare and order:

Fractions, decimals (to two decimal places), and percentages.

Convert decimals and percentages to fractions.

• Fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, 100:

Compare and order.

Identify equivalent fractions.

Represent fractions in simplest form.

• Convert:

Between mixed numbers and improper fractions.

• Find a fraction or percentage of a whole number:

Where the answer is a whole number (e.g., 3/8 of 48; 30% of $150).

• Identify the whole set:

Given a fractional part of a set.

• Add and subtract fractions:

With same or related denominators (e.g., 1/4 + 1/8).

Simplify the result.

STATISTICS:

• Problem:
  Ask a question that can be answered with data.
  Make a guess about what you think you will find.
  
  

• Plan:
  Decide how to collect your own data or use data someone else collected.
  Identify what information you need.
  Check who collected the data and why.
  Think about whether the data is trustworthy (e.g., if survey questions seem fair).

• Data:
  Collect your data carefully and check for mistakes.
  If using other data, find out how it was collected and what it shows.
  
  

• Analysis:
  Make graphs or charts to help understand the data.
  Look for important patterns or trends related to your question.
  
  

• Conclusion:
  Use the data to answer your question.
  Compare what you found with your original guess and what you know.
  
  

• Statistical Literacy:
  Look at other people’s data work to find any problems (like unfair questions or wrong information).
  Explain these problems and suggest how to fix them.
  
  

Extension Group 

FRACTIONS:

Year 7

• Identify, read, write, and show fractions, decimals (to three decimal places), and percentages.

• Compare, order, and change between fractions, decimals (to three places), and percentages.

• Find equivalent fractions, simplify fractions, and switch between improper fractions and mixed numbers.

• Multiply fractions and decimals by whole numbers.

• Find a percentage of a whole number, and find the total amount when given a fraction or percentage of it (e.g., “25% is $100, what is the total?”).

Year 8 

• Identify, read, write, and show fractions, decimals, and percentages.

• Compare, order, and change between fractions, decimals, and percentages.

• Find equivalent fractions, simplify fractions, and switch between improper fractions and mixed numbers.

• Multiply fractions and decimals by whole numbers.

• Find a percentage of a whole number, and find the total amount when given a fraction or percentage of it (e.g., “75% is $45, what is the total?”).

• Add and subtract fractions with different denominators by using equivalent fractions.

STATISTICS:

• Problem:
  Ask a question about a local community topic using data with more than one variable.
  Make a guess about what you expect to find.
  
  

• Plan:
  Decide what data you need and how to get it.
  Identify who the data is about.
  Think about ethical ways to collect data by checking questions or methods.
  
  

• Data:
  Collect your own data or find existing data.
  Make a simple list explaining what each piece of data means.
  Check for any errors.
  
  

• Analysis:
  Create graphs or charts to show your data.
  Describe important features or patterns in the data.
  
  

• Conclusion:
  Use your data to answer your question.
  Compare your findings with your original guess and what you already know.
  
  

• Statistical Literacy:
  Check other people’s data and their claims to see if they make sense.

Year 8 Data Investigation Progressions (Simplified)

• Problem:
  Ask a question about a local community topic using data with multiple variables.
  Make a guess about what you expect to find.
  
  

• Plan:
  Decide what data you need and how to get it.
  Identify who the data is about.
  Consider ethical data collection by questioning the methods used.
  
  

• Data:
  Collect or find data.
  Check for errors and fix them if possible.
  Make a simple guide explaining the data context.
  
  

• Analysis:
  Make several graphs or charts to look at the data in different ways.
  Describe key features or patterns in the data.
  
  

• Conclusion:
  Use the data to answer your question.
  Think about why you got these results and compare them to your guess and knowledge.
  
  

• Statistical Literacy:
  Review others’ data collection, graphs, and conclusions to see if their claims are reasonable.

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