## 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:

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__Transdisciplinary Themes__:

#### How the world works

#### Where we are in place & time

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

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__Central Idea__:

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

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__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

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## Measuring Angles

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__Transdisciplinary Theme__: How we organise ourselves

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__Central Idea__:

When angles co-exist, connections and relationships form.

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__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

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## Addition & Subtraction Mental Strategies

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__Transdisciplinary Theme__: How we organise ourselves

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__Central Idea__:

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

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__Lines of Inquiry__:

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

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## Measuring Area & Perimeter

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__Transdisciplinary Theme__: How we organise ourselves

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__Central Idea__:

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

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__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

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## Fractions / Decimals / Percentages

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__Transdisciplinary Theme__: How we organise ourselves

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__Central Idea__:

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

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__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

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## Data Handling

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__Transdisciplinary Theme__: How we organise ourselves

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__Central Idea__:

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

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__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

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## Measuring Length

Image from:

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__Transdisciplinary Theme__: How we organise ourselves

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__Central Idea__:

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

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__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

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## Chance / Probability

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

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__Transdisciplinary Theme__: How the world works

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__Central Idea__:

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Instead of luck, mathematicians think of
probability.

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__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*

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## Place Value / Number Systems

Image from:

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__Transdisciplinary Theme__: How we organise ourselves

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__Central Idea__:

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

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

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__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

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## Ratios

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

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__Transdisciplinary Theme__: How we organise ourselves

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__Central Idea__:

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We use ratios to help solve real life situations.

We use ratios to help solve real life situations.

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__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

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**Shapes**

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__Transdisciplinary Theme__: How the world works

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__Central Idea__:

## Shapes have close or distant relationships with each other.

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__Lines of Inquiry__:

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

I really love these....Very helpful indeed.

ReplyDeleteIts very nice to see mathematics central ideas under different themes.

ReplyDeleteThanks for sharing!

ReplyDeleteThis is why I love mathematics. It is just so sweet

ReplyDeleteCan i have a central idea for the cipher number

ReplyDelete