Saturday, 9 May 2015

Central Ideas & Lines of Inquiry

Maths PYP Planners

After years and years of experimenting- loads of failures and gradually more and more successes, I am finally feeling like I am creating coherent PYP maths planners that allow a balance between skills needed to be investigated and which allow for student-led enquiries. 

Here are some of the more successful planners I've experimented with: 


Measuring Time:

Transdisciplinary Themes:   

How the world works

Where we are in place & time 

& How we organise ourselves               (WOW! It hits 3 themes nicely! :)   )



Central Idea

By understanding astronomy, we have been able to create ways to measure time.

Lines of Inquiry:

  • CONNECTION: How the measurement of time is connected to astronomy
  • FUNCTION: How our measurement of time system works
  • CAUSATION: How our measurement of time system was created
  • CONNECTION: Relationships between 12 and 24 hr clocks
  • FUNCTION: How to measure elapsed time
  • FUNCTION: How we use world time zones

_________________________________________________________________________





Measuring Angles






Transdisciplinary Theme:   How we organise ourselves



Central Idea


When angles co-exist, connections and relationships form.

Lines of Inquiry:


  • FORM: What different types of angles, triangles and quadrilaterals are like
  • FUNCTION: How we can estimate & measure the size of angles
  • CONNECTION: Patterns and relationships that exist between angles
  • FUNCTION: How we use angles in our daily lives





_________________________________________________________________________





Addition & Subtraction Mental Strategies



Image from: wikidownload.com

Transdisciplinary Theme:   How we organise ourselves


Central Idea

By choosing suitable strategies, we can mentally add and subtract more easily.


Lines of Inquiry:

  • CONNECTION: The relationship between addition and subtraction
  • FUNCTION: How addition/subtraction mental strategies work
  • REFLECTION: Determining which mental strategy to use




_________________________________________________________________________



Measuring Area & Perimeter



Image from: www.mathgoodies.com



Transdisciplinary Theme:   How we organise ourselves


Central Idea

People need to measure the area of space and the length of perimeters for a variety of reasons.



Lines of Inquiry:

  • CONNECTION: How area and perimeter are related
  • FUNCTION: How to determine the perimeter of complex shapes with unknown lengths
  • FUNCTION: How to measure the area of complex shapes
  • CAUSATION: Reasons we need to measure perimeter & area in real life




_________________________________________________________________________





Fractions / Decimals / Percentages


Image from: www.mathx.net

Transdisciplinary Theme:   How we organise ourselves


Central Idea

We can use fractions, decimals and percentages in a variety of ways in real life situations.



Lines of Inquiry:

  • CONNECTION: How fractions, decimals and percentages are related
  • CONNECTION: How we use fractions, decimals and percentages in our daily lives
  • FUNCTION: Strategies we can use when manipulating fractions, decimals or percentages
  • FUNCTION: How we can identify equivalent fractions

_________________________________________________________________________


Data Handling


Image from: www.proprofs.com

Transdisciplinary Theme:   How we organise ourselves


Central Idea

Determining the suitability of graphs can help us to investigate and present data more easily.



Lines of Inquiry:

  • CAUSATION: Why we use graphs
  • FUNCTION: Determining the mean, mode, range, and median of data
  • FUNCTION: Interpreting data from a variety of types of graphs
  • FUNCTION: Converting data to a percentage to create pie graphs
  • REFLECTION: Determining suitability of types of graphs to represent data


_________________________________________________________________________


Measuring Length


Image from: www.technologyuk.net 


Transdisciplinary Theme:   How we organise ourselves



Central Idea


The metric system for measuring length connects with our base 10 number system.





Lines of Inquiry:


  • FORM: The metric v imperial units of measurement for length
  • CAUSATION: Why the metric system was created
  • FUNCTION: How to measure length using decimals
  • FUNCTION: How to convert metric units of length using decimals


_________________________________________________________________________

Chance / Probability


Image from: https://www.mathsisfun.com/data/probability.html




Transdisciplinary Theme:   How the world works


Central Idea

Instead of luck, mathematicians think of
probability.


Lines of Inquiry:

  • CONNECTION: How we use the measurement of probability in our real lives
  • FUNCTION: Strategies we can use to measure probability
  • CAUSATION: Why we use fractions / decimals / % to measure probability



_________________________________________________________________________



Place Value / Number Systems



Image from: www.shmoop.com 

Transdisciplinary Theme:   How we organise ourselves


Central Idea


By understanding the properties of numbers, we can discover patterns and relationships.


Lines of Inquiry:





  • FORM:  How positive and negative place values of numbers are infinite
  • CAUSATION: Why we can multiply/divide numbers easily by 10, 100, 1000 etc
  • CONNECTION: Number properties and their relationships
  • CAUSATION:  Reasons we round numbers as a helpful strategy
  • CONNECTION: How our Hindi-Arabic number system connects with other number systems



_________________________________________________________________________





Ratios



Image from: http://www.mathsisfun.com/numbers/ratio.html 





Transdisciplinary Theme:   How we organise ourselves


Central Idea

We use ratios to help solve real life situations.

Lines of Inquiry:


  • FORM: What ratios and proportions are like
  • FUNCTION: Strategies we can use to calculate ratio relationships
  • CONNECTION: Ways we use ratios in real life situation


______________________________________________________________________


Shapes

Image from: www.aspexsoftware.com


Transdisciplinary Theme:   How the world works


Central Idea

Shapes have close or distant relationships with each other.

Lines of Inquiry:

  • CONNECTION: Similar properties shapes share
  • FUNCTION: Determining the properties of shapes
  • CAUSATION: Why shapes have their properties









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